RRB ALP CBT-I : 9 Aug 2018 Shift-3

1.The maximum number of electrons that can be accommodated in M shell is:

A. 8

B. 2

C. 18

D. 32

Solutions

Electron Shell (also called a Principle energy level) is the region where electrons revolve around the nucleus of an atom.
The general formula of filling electron in the shell is 2(n²); where n is the number of the shell.

SHELL	n	2(n²)	SHELL MAXIMUM ELECTRON
K	1	= 2(1²)	2
L	2	= 2(2²)	8
M	3	= 2(3²)	18
N	4	= 2(4²)	32
O	5	= 2(5²)	50

2. $M@A#N2B4O&3C5P + D2

Using the above sequence find the characters that do NOT belong to the group:AO +, MB5, N32, $2P

A. N32

B. AO +

C. $2P

D. MB5

Solutions

According to the given series,

A + 6 elements = O, O + 6 elements = +

M + 6 elements = B, B + 6 elements = 5

N + 6 elements = 3, 3 + 6 elements = 2

$ + 6 elements = 2, 2 + 8 elements = P

Hence $2P does not belong to the group.

3. The sum of the present ages of two cousins is 46 years. Eight years ago, the elder one was twice as old as the younger one. What is the present age of the elder cousin?

A. 22 years

B. 30 years

C. 28 years

D. 26 years

Solutions

Let the age of elder cousin be ‘x’ years.

⇒ Age of younger cousin = ‘y’ years

The sum of the present ages of two cousins in 46 years,

⇒ x + y = 46 —-(1)

Eight years ago, the elder one was twice as old as the younger one,

⇒ (x – 8) = 2(y – 8)

⇒ x – 2y = -8 —-(2)

Subtracting equation (1) from equation (2) we set

⇒ y = 18

∴ Now age of elder cousin = x = 46 – 18 = 28 yrs.

4. To dispose of the old stocks, a person sold a tea-set for Rs. 3,420, which was 43% below the cost price. In order to make a profit of 10% the seller should have sold the set for Rs. ______ .

A. Rs. 6,180

B. Rs. 6,580

C. Rs. 6,680

D. Rs. 6,600

Solutions

SP = Rs. 3420

It is sold 43% below the CP.

⇒ 57% of CP = Rs. 3420

⇒ 1% of CP = 3420/57 = Rs. 60

⇒ 100% of CP = Rs. 6000

Now seller wants to earn 10% profit, then SP = 110% of CP

∴ SP = 110/100 × 6000 = Rs. 6600

5. Who is the current director of Research and Analysis Wing (RAW), India’s foreign intelligence service?

A. Kiran Bedi

B. Samant Goel

C. Dineshwar Sharma

D. Ajit Doval

Solutions

Samant Goel is appointed as the director of Research and Analysis Wing (RAW).
Additional Information:

Kiran Bedi is the governor of Puducherry.

Dineshwar Sharma is the Chief of the Indian Intelligence Bureau.

Ajit Doval is the National Security Advisor to the Prime Minister of India.

6. On which dates of December 2018 will be Wednesdays?

A. 4, 11, 18, and 25

B. 5, 12, 19 and 26

C. 3, 10, 17 and 24

D. 6, 13, 20 and 27

Solutions

Take the last 2 digits of the year. In our example, this is 18.
Divide by 4 and drop any remainder. 18 / 4 = 16, remainder 2, so we think “20.”
Add the day of the month. In our example, 20 + 16 = 36.
Add the month’s key value, from the following table.

Jan	Feb	Mar	Apr	May	June	July	Aug	Sept	Oct	Nov	Dec
1	4	4	0	2	5	0	3	6	1	4	6

The month for our example is December, with a key value of 6. 36 + 6 = 42.
If your date is in January or February of a leap year, subtract 1. We’re using December, so we don’t have to worry about this step.
Add the century code from the following table. (These codes are for the Gregorian calendar. The rule’s slightly simpler for Julian dates.)

1700s	1800s	1900s	2000s
4	2	0	6

Our example year is 2482, and the 2400s aren’t in the table. Luckily, the Gregorian calendar repeats every four hundred years. All we have to do is add or subtract 400 until we have a date that is in the table. 2482 – 400 = 2082, so we look at the table for the 2000s, and get the code 6. Now we add this to our running total: 42 + 6 = 48.
Add the last two digits of the year. 48 + 82 = 130.
Divide by 7 and take the remainder. This time, 1 means Sunday, 2 means Monday, and so on. A remainder of 0 means Saturday. 130 / 7 = 18, remainder 4, so December 16, 2482 will be on the fourth day of the week– Wednesday.

Following these steps we got to know that on December 5, 12, 19 and 26 is Wednesday.

Hence option 2) is correct option.

7. In the following Venn diagram which region represents the coach who is also a player but not a girl?

A. U

B. T

C. R

D. S

Solutions

We need the letter which is common to coach and player but is not a girl.

Thus, the required letter is T.

8. Solve the following: 22 – (1/4){-5 – (-48) ÷ (-16)}.

A. 0

B. 24

C. 22

D. 21

Solutions

22 – (1/4){-5 – (-48) ÷ (-16)} = 22 – (1/4){-5 – 3} = 22 – (1/4) × (-8) = 22 – (-2) = 24

9. What are the receptors for detecting taste called?

A. Sensory receptors

B. Chemical receptors

C. Olfactory receptors

D. Gustatory receptors

Solutions

Receptors are the organs or cells which respond to light, heat or external stimulus and transmit the signal to the sensory nerve.

Gustatory receptors are the receptors for detecting taste.

10. Select the option that correctly fits in the blank space in the given figure.

A. D

B. A

C. C

D. B

Solutions

Here the third figure in each row is the common part of the first two figures in the same row.

The common part between first two figures in third row is a dot.

Thus, the required image is figure C.

11. If tanθ = 7/24, then find the value of p such that (tanθ – secθ)/sinθ = -p/28.

A. 25

B. 75

C. 50

D. 100

Solutions

tanθ = 7/24

tanθ = P/B

⇒ Perpendicular = 7 and Base = 24

⇒ hypotenuse = 25 cm

⇒ secθ = 25/24, sinθ = 7/25

⇒ (tanθ – secθ)/sinθ = -p/28

⇒ [(7/24 – 25/24)/(7/25)] = -p/28

⇒ -18/24 × 25/7 = -p/28

⇒ p = 75

12. Select the missing term based on the given related pair.

MAKING : KGMANI ∷ CAPETO : ______

A. POCATE

B. POTECA

C. POCAET

D. POACTE

Solutions

The logic here is as follows,

Thus, CAPETO is related to POCATE.

13. The value of universal gravitation constant (G) was determined by:

A. Henry Cavendish

B. Antoine L Lavoisier

C. Issac Newton

D. John Dalton

Solutions

Henry Cavendish formed an experiment, called a Cavendish experiment, was the first experiment to give an accurate value of Gravitational constant and to measure the force of gravity between masses.
The value of the gravitational constant is 6.674 × 10^-11 Nm²/kg² or m³ kg^-1 s^-2.
Additional Information:

Antoine L Lavoisier is known as ‘The father of modern chemistry’.
John Dalton gave famous atomic theory called as Dalton’s Atomic theory which states that elements are made up of small particles calledan atom, which cannot be created, destroyed or transformed into atoms of other elements.
Issac Newton gave many theories the famous one are the laws of motion.

14. Which of the following is NOT a property of acids?

A. Acid has a sour taste

B. Acid has a bitter taste

C. Acid form salt with a base

D. Acid turns blue litmus red

Solutions

Acids are the molecules which are capable of giving H⁺ ion or form a covalent bond with electron pair.
Acids are sour in taste, which turns blue litmus red.
The acid forms salt when reacting with the base.
For example; hydrochloric acid (HCl) when reacts with sodium hydroxide (NaOH) forms sodium chloride (NaCl).

HCl (aq) + NaOH (aq) → NaCl (s) + H₂O (l)

Acid Base Salt

15. Choose the correct mirror image of the problem figure when the mirror is placed to the right of the figure.

A. D

B. B

C. C

D. A

Solutions

The mirror image of the given image is as follows,

Thus, the correct mirror image of the given image is figure A.

16. Select the option that will correctly fit in the blank space in the given figure series.

B.

C.

D.

Solutions

Here in the first square, there are three cross signs, three plus signs, and three dots. With each successive figure, one cross sign, then one plus sign is removed.

So, in the next figure, one dot will be removed.

Thus, the answer figure will have two cross signs, two plus signs, and two dots.

Hence answer is option 3.

17. The Arjuna Awards given by the Government of India is for public achievement in which fo the following fields?

A. Literature

B. Poverty eradication

C. Sports

D. Economics

Solutions

Arjuna Awards is the award given for the outstanding achievement in the field of sports.
Arjuna Awards are given by the Ministry of Youth Affairs and Sports.
Additional Information:

FIELD	AWARD
Economics	Adam Smith Award
Literature	Pulitzer Prize

18. In the process of _______, the iron is protected by a coating of zinc.

A. Greasing

B. Alloying

C. Galvanization

D. Anodising

Solutions

Galvanization is the process in which a protective layer of zinc is applied to the iron to protect it from rusting.
Zinc is used in the galvanization process because zinc forms a protective oxide layer on its surface when it reacts with oxygen.
This protective layer of zinc oxide acts as a physical barrier to prevent the oxidising of iron by oxygen.
Additional Information:

Greasing is the process by which a lubricating oil (called grease) is applied which reduce the friction between two moving objects.
Alloying is the process of forming alloys, which are the amalgamation of two metals
Anodising is the process of producing thick oxide coating which increases the thickness of the naturaloxide layer on the surface of the metal.

19. The fraction from the ones listed below that will NOT lead to a recurring decimal is:

A. 8/56

B. 6/56

C. 4/56

D. 7/56

Solutions

∴ Option 7/56 is not leading to recurring decimal.

20. The difference between the place values of 9 and 5 in the number 428693745 is:

A. 90995

B. 99995

C. 89995

D. 8995

Solutions

Given number = 428693745

Place value of 5 = 5

Place value of 9 = 9 × 10000 = 90000

∴ Required difference = 90000 – 5 = 89995

21. A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent in the form of a circle, find the area of the circle. (Use π = 22/7)

A. 154 cm²

B. 153 cm²

C. 155 cm²

D. 150 cm²

Solutions

Area of square = 121 cm²

Let the side of square be ‘a’ cm,

⇒ a²= 121 cm²

⇒ a = 11 cm

Now, the length of the wire = Perimeter of square

⇒ Length = 4 × 11 = 44 cm

Also, Length of wire = Perimeter of circle

⇒ 2πr = 44 cm

⇒ 2 × 22/7 × r = 44 cm

⇒ r = 7 cm

Area of circle = πr²

∴ Area = 22/7 × 7 × 7 = 154 cm²

22. A raised hammer possesses:

A. Kinetic energy

B. Mechanical energy

C. Muscular energy

D. Potential energy

Solutions

The energy possessed by a body by virtue of its position is called Potential energy.
Potential Energy is given by mgh

Where m = mass of the body

g = acceleration due to gravity

the h = height of the body

When a hammer is raised, it posses potential energy due to the height of the hammer.
Additional Information:

Kinetic energy is the energy which is possessed by the body due to its motion.
Muscular energy is the energy produced by the continues movement of muscles.
Mechanical energy is the energy produced due to both the motion and position of the body. It is the sum of kinetic energy and potential energy.

23. When x² + ax + b is divided by (x – 1), the remainder is 15 and when x² + bx + a is divided by (x + 1), the reminder is -1, then the value of a² + b² is:

A. 10

B. 20

C. 8

D. 100

Solutions

When x2 + ax + b is divided by (x – 1), the remainder is 15

Hence, on putting x = 1 in equation, we will get 15

(1)² + a × (1) + b = 15

⇒ 1 + a + b = 15

⇒ a + b = 14 —- (1)

when x2 + bx + a is divided by (x + 1), the reminder is -1

Hence, on putting x = -1 in equation, we will get -1

(-1)2 + b × (-1) + a = -1

⇒ 1 – b + a = -1

⇒ – b + a = -2

⇒ a – b = -2 —- (2)

Adding (1) and (2), we get

2a = 12

⇒ a = 6

Putting value of a in (1), we get

b = 8

∴ a2 + b² = 36 + 64 = 100

24. If a – 1/a = 1, then a² + 1/a² = ?

A. 1

B. 3

C. 2

D. 4

Solutions

Given that, a – 1/a = 1

∴ a² + 1/a² = 3

25. Consider the given argument and decide which of the given assumptions is (are) implicit.

Argument:

Due to the water crisis in the city, the authority had asked all the citizens to reduce their water consumption by 25%.

Assumptions:

1. Many citizens may reduce their water consumption.

2. Many activists may protest to this advisory by the authority.

A. Neither 1 nor 2 is implicit.

B. Only assumption 1 implicit.

C. Only assumption 2 implicit.

D. Both 1 and 2 are implicit.

Solutions

As there is a water crisis in the city, it is a sensible step to reduce water consumption, hence, assumption 1 is implicit.

Assumption 2 is not implicit as there is no information given in the argument indicating that activists would be unhappy with this advisory.

Hence, only assumption 1 is implicit.

26. If a body takes ‘t’ seconds to go once around the circular path of radius ‘r’, the velocity ‘v’ is given by

Solutions

If an object moves in a circular path with a uniform speed, then the object is said to be in Circular motion.
Velocity is defined as the displacement of an object in unit interval time.

Velocity (v) = displacement / time

For a circular motion, Velocity (v) = circumference of a circular path/ time

As, Circumference of the circle = 2 π r

Where r = radius of the circular path.

∴ v = 2 π r / t

Therefore, the velocity of an object moving in circular path of radius r is given by v = 2 π r / t

27. Who is the only Indian economist to have won the Nobel Prize?

A. Avinash Dixit

B. Amit Mishra

C. Amartya Sen

D. Abhijit Banerjee

Solutions

Key Points

Noble Prize is the international award given in Oslo, Norway for outstanding achievement in academics, cultural or scientific fields.
Dr. Amartya Sen is the only Indian economist who won Noble Prize for Economics in 1998.

Confusion Points

Abhijit Banerjee is an American citizen.

Additional Information

The list of Noble Prize 2018 winners are given below:

FIELD	WINNER
Medicine or Physiology	James P Allison, Tasuko Honjo
Economic Sciences	William Nordhaus, Paul Romer
Chemistry	George Smith, Frances Arnold, Gregory Winter
Physics	Gerard Mourou, Arthur Ashkin, Donna Strickland
Peace	Nadia Murad, Denis Mukwege

28. Complete the series given in the Problem Figure with an appropriate option from the answer figures.

A. 1

B. 4

C. 2

D. 3

Solutions

In the 2^nd figure, the colour of the first and third shape of the 1^st figure gets interchanged and the position of second shape’s part gets changed. So in the 4^th figure the colour of the first and third shape of 3^rd figure will be interchanged and the position of second shape’s part will get changed.

Thus, the answer is figure 2.

29. Find the L.C.M of 4/5, 2/3 and 5/7

A. 25

B. 20

C. 40

D. 30

Solutions

Given:

We have to find the LCM of 4/5, 2/3 and 5/7.

Formula used:

LCM of fractions = (LCM of numerators)/ (HCF of denominators)

Calculation:

L.C.M of 4/5, 2/3, 5/7 = (L.C.M of 4, 2, 5)/ (H.C.F of 5, 3, 7) = 20/1 = 20

30. What happens as we go down the group in the periodic table?

A. The number of shells decreases

B. Valence electrons decreases

C. The number of shells increases

D. Atomic size decreases

Solutions

According to Modern Periodic Law, the physical and chemical properties of the elements are periodic functions of their atomic numbers.

When we move down the group, there is an addition of shell and hence, the atomic size increases down the group.

For example, Sodium (Na) and Lithium (Li) belong to the same group i.e. group 1

Lithium has 3 atomic number and its configuration is 2 (K), 1(L). While, sodium has 11 atomic number and its configuration is 2 (K), 8 (L), 1 (M).

31.

Find the missing digit if it has 11 and 13 as factors?

A. 2

B. 6

C. 8

D. 4

Solutions

Here, the required number must be a multiple of LCM of 11 and 13

Now, LCM(11 and 13) = 143

Here, as required number is in between 100 and 200, hence only possible number is 143.

∴ Missing digit will be 4.

32. Consider the given question and decide which of the following statements is sufficient to answer the question.

Which of these natural numbers X, Y, Z, U, and V are even numbers?

Statements:

X, Y, Z, U, and V are consecutive numbers.
Z is an odd number.

A. Both statement 1 and 2 together are sufficient

B. Statement 2 alone is sufficient while statement 1 alone is insufficient

C. Statement 1 alone is sufficient while statement 2 alone is insufficient

D. Neither statement 1 nor 2 is sufficient

Solutions

Statement 1 is saying that numbers are consecutive,

From statement 2,

We can conclude that if ‘Z’ is an odd number so ‘Y’ and ‘U’ must be even number.

∴ Both statement 1 and 2 together are sufficient.

33. _______ forms a common passage for both urine and sperms in human males.

A. Oviduct

B. Ureter

C. Urethra

D. Vas deferens

Solutions

The urethra is a tube that carries urine from the Urinary bladder.
In females, urethra contains only urine, while in males, it contains both urine and sperms.
Additional Information:

Vas deferens, present in males, which carry the sperm from the epididymis to the ejaculatory ducts.
Ureter carries urine from a kidney to the urinary bladder.
The oviduct is a tube through which the ovum passes from the ovary to uterine cavity.

34. Select the option that would come next in the following figure series.

A. C

B. B

C. D

D. A

Solutions

The shapes in the figure gets decreased one by one from both the lines alternatively, starting from the upper line. So in the last figure there will be only two shapes left in each line.

Thus, the answer is figure C.

35. Travelling at 4/5^th of his usual speed, a man is 15 minutes late. What is his usual time to cover the same distance?

A. 15 minutes

B. 1 hours

C. 75 minutes

D. 45 minutes

Solutions

Given:

Traveling at 4/5th of his usual speed, a man is 15 minutes late

Formula used:

Speed = Distance/Time

Calculation:

Let the speed & distance traveled are V & D respectively.

Usual time (T) = D/V

⇒ T × (1/4) = 15 min (∵ T = D/V)

⇒ T = 60 min = 1 hr

Thus, the correct answer is 1 hr.

36. Tooth decay starts when the pH of the mouth is lower than:

A. 5.7

B. 5.5

C. 5.6

D. 5.4

Solutions

Tooth decay is the damage of the tooth caused due to the formation of acids in the mouth.

The bacteria present in our mouth break down the sugar to acid which causes softening of tooth enamel leading to tooth decay,

It starts when the ph of the mouth is less than 5.5.

37. Select the time that would depict the correct mirror image of 9:30 in a clock.

A. 2:30

B. 6:30

C. 7:30

D. 4:30

Solutions

For every mirror image based on a clock,

Given:

The clock shows the time = 9:30

To find:

Time is shown in the mirror image

Concept used:

For mirror image

(11 – hours) : (60 – minutes)

Solution :

Hours = 9

Minutes = 30

Mirror image = (11 – 9) : (60 – 30)

⇒ Mirror image = 2:30

Additional Information

If it is 12 hrs clock, then subtract the given timing from 11:60 hrs.

If it is 24 hrs clock, then subtract the given timing from 23:60 hrs.

Hence, the real time will be 2:30.

Alternative method:

At 9:30, the hour hand will be between 9 and 10 and the minute hand will be at 6. So in the mirror image the hour hand will be at in the opposite side i.e. between 2 and 3 and minute hand will remains at 6.

Thus, the time in clock will be 2:30.

38. Consider the given statement and decide which of the given assumption(s) is (are) implicit.

Statement:

Shyam tells Gita, “The ways to reach Sri Lanka is through air and water”.

Assumptions:

1. Gita likes to travel to Sri Lanka.

2. Shyam is fond of advising people.

A. Both assumptions 1 and 2 are implicit.

B. Neither assumption 1 nor 2 is implicit

C. Only assumption 2 is implicit

D. Only assumption 1 is implicit

Solutions

Shyam is telling Gita about the ways to reach Sri Lanka. The reason behind this may be Gita wants to know the ways to reach Sri Lanka for knowledge purpose.

So, neither assumption 1 nor 2 is implicit.

39. Who is the famous Indian actress who stars in the ‘Quantico’ TV series on American Broadcasting Corporation?

A. Alia Bhatt

B. Deepika Padukone

C. Priyanka Chopra

D. Malaika Arora

Solutions

Priyanka Chopra played the role of FBI agent inthe famous TV series, ‘Quantico’.

She made her Hollywood debut in a film, ‘Baywatch’ starring opposite Zac Efron and Dwayne Johnson.

40. Consider the given question and decide which of the following statements is sufficient to answer the question.

How Swathi is related to Namitha?

Statements:

I. Swathi’s husband is the only son of Namitha’s mother.

II. Swathi’s brother and Namitha’s husband are cousins.

A. Both I and II are sufficient to answer the question.

B. II alone is sufficient while I alone is not sufficient to answer the question.

C. Either I or II is sufficient to answer the question.

D. I alone is sufficient while II alone is not sufficient to answer the question.

Solutions

According to statement 1, Swati’s husband and Namitha are siblings. So Swati is sister-in law of Namitha.

According to statement 2, Swati is cousin of Namitha’s husband. So Swati is sister-in-law of Namitha.

Hence either statement I or statement II is sufficient to answer the question.

41. Dipali bought a set of cups for Rs. 375, but then had to sell it later to clear old stocks for Rs. 345. What is the percentage of loss that she incurred?

A. 14

B. 7

C. 16

D. 8

Solutions

CP of Cups = Rs. 375

SP of Cups = Rs. 345

Loss% = (CP – SP)/CP × 100

⇒ Loss% = (375 – 345)/375 × 100 = 30/375 × 100 = 8%

42. If 123 × 356 = 43788, then 1.23 × 0.356 = ?

A. 437.88

B. 4.3788

C. 0.43788

D. 0.043788

Solutions

If 123 × 356 = 43788

Then, 1.23 × 0.356 = 0.43788

43. Consider the given statement true and decide which of the given conclusions can definitely be drawn from the given statements.

Statement:

People complain that bus tickets are not available during festival seasons.

Conclusions:

1. People should be advised not to travel during festival seasons.

2. The government should bring in more buses during festival seasons.

A. Both 1 and 2 follow.

B. Neither 1 nor 2 follows.

C. Only conclusion 2 follows.

D. Only conclusion 1 follows.

Solutions

The statement says that people are complaining about the unavailability of bus tickets during festival seasons.

This implies that they do wish to travel during this period.

Therefore, the suggestion that one should be advised to stop travelling during this period does not make sense.

Hence, conclusion 1 does not follow.

Increasing the number of buses by the government during the festive seasons might solve the problem.

Therefore, the suggestion in the second statement is a valid conclusion.

Thus, only conclusion 2 follows.

44. Complete the problem figure with an appropriate option from the answer figures.

A. C

B. D

C. B

D. A

Solutions

Here we can divide each figure into 3 parts, the head, the body and the legs.

In this figure, there are 3 types of head, each comes 3 times, the round head, the square head and the triangular head. There are 3 types of body, each comes 3 times, the line body, the rectangular body and the drop shaped body. There are 3 types of legs, each comes 3 times, the filled square legs, round legs and line legs.

So, the missing figure should have square head, line body and round legs.

Thus, the answer is figure B.

45. Four numbers, when arranged in ascending order, are w, x, y and z. The average of the smallest three numbers is 18, while the average of the largest three was 22. What is the range of the data?

A. 10

B. 12

C. 13

D. 11

Solutions

Here 4 number in ascending order is w, x, y and z.

According to question,

(w + x + y)/3 = 18

⇒ w + x + y = 54 —- (1)

Also,

(x + y + z)/3 = 22

⇒ x + y + z = 66 —- (2)

Subtracting (2) with (1), we get

(x + y + z) – (w + x + y) = 66 – 54

⇒ z – w = 12

Here, z – w is showing difference of largest number and smallest number, which is required range.

46. Which of the following is an amphoteric oxide?

A. Aluminium oxide

B. Iron (II) oxide

C. Magnesium oxide

D. Carbon dioxide

Solutions

Amphoteric oxides are the oxides which can react with both acids and base.
For example, Aluminium oxide (Al₂O₃).
Aluminium oxide reacts with acids like hydrochloric acid (HCl) and bases like sodium hydroxide (NaOH), to form salt and water.

Al₂O₃ + 6 HCl → 2Al₂Cl₃ + 3H₂O

(Salt)

Al₂O₃ + 2 NaOH → 2 NaAlO₂ + H₂O

(Salt)

47. The ratio of sand to gravel in a mixture is 17 : 8 while that between gravel and cement is 6 : 17. What is the ratio of sand to cement in the mixture?

A. 1 : 1

B. 289 : 48

C. 8 : 6

D. 3 : 4

Solutions

Ratio between sand and gravel = 17 : 8

Ratio between gravel and cement = 6 : 17

To get combined ratio, we can write

∴ Sand ∶ Cement = 102 : 136 = 3 : 4

48. The square root of 3249 is:

A. 63

B. 59

C. 57

D. 67

Solutions

The square root of 3249 = 57

Shortcut Trick

Unit digit of 3249 = 9

∵ We know that the unit digit of 32 is 9 and the unit digit of 72 is also 9.

The square root must be a number whose unit digit will be either 3 or 7.

Hence, the required answer must be either 57 or 63 or 67.

Now, we know that 602 = 3600

∴ The required answer must be less than 60.

∴ The square root of 3249 will be 57.

Thus, the correct answer is option 3.

49. Consider the given question and decide which of the following statement(s) is/are sufficient to answer the question.

What is the average daily wage of X, Y and Z?

Statements:

Y’s salary is half of (X + Z)
X and Y together earn Rs. 40 more than Z and Z earns Rs. 500

A. Both 1 and 2 are sufficient

B. Neither 1 nor 2 is sufficient

C. 1 alone is sufficient while 2 alone is insufficient

D. 2 alone is sufficient while 1 alone is insufficient

Solutions

From statement 2,

Earning of Z = Rs. 500

Earning of X and Y = Rs. 500 + 40 = Rs. 540.

⇒ Required average of daily wages = (X + Y + Z)/3 = (540 + 500)/3 = Rs. 1040/3

∴ 2 alone is sufficient while 1 alone is insufficient.

50. A current I flows through a resistor. A source maintains a potential difference of V across the resistor. The energy supplied by the source in time t is:

A. V I t²

B. V I

C. V I t

D. V I/ t

Solutions

Electric power is the rate at which electric energy (E) is transferred in an electric circuit per unit time (t).
According to Ohm’s law, power is given as the product of voltage (V) and current (I) of a circuit.

P = VI

∴ P = E/t

V I = E/t

E = V I t

Therefore, the energy supplied in a circuit is given by E = V I t

51. Consider the given argument and decide which of the given assumptions is (are) implicit.

Argument:

All girls love reading novels.

Assumptions:

1. Novels are the only reading materials.

2. No girl loves to read other materials.

A. Both assumptions 1 and 2 are implicit.

B. Only assumption 1 is implicit.

C. Neither assumption 1 nor 2 is implicit.

D. Only assumption 2 is implicit.

Solutions

Not novels are the only reading materials. There are other books, journals, articles to read. So, assumption 1 is not implicit.

All girls like reading novels, but they may like reading other materials too.

So assumption 2 is not implicit.

Hence, neither assumption 1 nor 2 is implicit.

52. Select the missing word pair based on the given related pair.Buy : bought ∷ ______

A. Tore : Tear

B. Ran : Run

C. Sang : Sing

D. Shut : Shut

Solutions

Bought is the past tense of the verb “Buy”.

The pattern is like “Verb: The verb’s past tense”.

Tore is the past tense of Tear.

Ran is the past tense of Run.

Sang is the past tense of Sing.

In all tenses, Shut remains Shut.

Thus, the required pair is Shut: Shut.

53. Choose the correct water image of the given problem figure.

A. B

B. A

C. C

D. D

Solutions

The water image is the inverted image obtained by turning the object upside down.

Thus, the water image of the given image is figure B.

54. In the given equation, LHS = RHS only when we interchange numbers ______ on the same side.5 + 3 × 6 – 4 ÷ 2 = 4 × 3 – 10 ÷ 2 + 7

A. 5 and 2

B. 3 and 7

C. 6 and 4

D. 4 and 7

Solutions

If we interchange 5 and 2,

2 + 3 × 6 – 4 ÷ 5 = 4 × 3 – 10 ÷ 2 + 7

2 + 18 – 4 ÷ 5 = 12 – 5 + 7

LHS is not equal to RHS

If we interchange 3 and 7,

5 + 3 × 6 – 4 ÷ 2 = 4 × 7 – 10 ÷ 2 + 3

5 + 18 – 2 = 28 – 5 + 3

21 = 26

LHS is not equal to RHS

If we interchange 6 and 4,

5 + 3 × 4 – 6 ÷ 2 = 4 × 3 – 10 ÷ 2 + 7

5 + 12 – 3 = 12 – 5 + 7

14 = 14

LHS is equal to RHS

If we interchange 4 and 7,

5 + 3 × 6 – 4 ÷ 2 = 7 × 3 – 10 ÷ 2 + 4

5 + 18 – 2 = 21 – 5 + 4

21 = 20

LHS is not equal to RHS.

Hence, we need to interchange 6 and 4 in order to get the given equation correct.

55. As of February 2018, who is the Chief Minister of Telangana, who is also the first Chief Minister of Telangana?

A. K Chandrasekhar Rao

B. Kadiyam Srihari

C. T Rajaiah

D. Chandrababu Naidu

Solutions

K Chandrasekhar Rao is the first Chief Minister of Telangana.
He belongs to the party called Telangana Rashtra Samithi and their symbol is a ‘CAR’.
On 2 June 2014, Telangana separated from Andhra Pradesh and became the 29^th state of India.
The capital of Telangana is Hyderabad and Andhra Pradesh is Amravati.

56. According to an early Indian philosopher, everything is made up of _________ basic elements.

A. 2

B. 4

C. 3

D. 5

Solutions

The Correct answer is option 4 i.e. 5

Early Indian philosophers classified matter in the form of five basic elements – the “Panch Tatva”– air, earth, fire, sky and water.
According to them everything, living or non-living, was made up of these five basic elements.

Additional Information

According to Charvaka Philosophy, there is no other world and death is the end of humans and pleasure the ultimate object in life.
Brihaspati is regarded as the founder of Charavaka School of Philosophy.
Charavaka School of Philosophy is also called as Lokayata Philosophy (Philosophy of masses).

57. Find the position of the image formed by a concave mirror when the object is placed between P and F?

A. At infinity

B. Between F and C

C. Behind the mirror

D. Beyond C

Solutions

When the object is placed between the pole (P) and focus (F) of the mirror, the enlarged and virtual image is formed behind the mirror.

Concave mirror form enlarged image that is why it is used as reflectors for headlights of a vehicle and by doctors to examine eye, nose, and ear.

58. If three groups could be formed using the given figures only once, these groups would be _____.

A. (1, 5, 8), (2, 4, 7) and (3, 6, 9)

B. (1, 5, 7), (2, 4, 9) and (3, 6, 8)

C. (1, 5, 7), (2, 6, 8) and (3, 4, 9)

D. (1, 5, 7), (2, 4, 8) and (3, 6, 9)

Solutions

Figure 1, 5 and 7 have same shape inside the outer shape so they form a group.

Figure 2, 4 and 8 have a figure inside the outer shape so they form a group.

Figure 3, 6 and 9 have shape with thick solid line so they form a group.

Hence, the required set is (1, 5, 7), (2, 4, 8) and (3, 6, 9).

59. The boiling point of alcohol is 78°C. What is the temperature in Kelvin scale?

A. 78 K

B. 341 K

C. 373 K

D. 351 K

Solutions

Zero in the Celsius scale is equivalent to 273 in the Kelvin scale.
Therefore, the temperature in Celsius is converted to Kelvin by adding 273 to the given temperature.

If the boiling point of alcohol is 78 °C then, its temperature in Kelvin will be 78 + 273 = 351 K
Additional information:

Celsius is converted to Fahrenheit by using: {[T (°C) × 9/5] + 32}
Kelvin is converted to Fahrenheit by using: T_(F) = T_(K) × 9/5 – 459.67, T_(K) is temperature in kelvin.

60. A train leaves Kazipet at 5 a.m. and reaches Bangalore at 3 p.m. Another B train leaves Bangalore at 7 a.m. and reaches Kazipet at 5 p.m. When do the two trains meet? Assume that the trains travels at equal uniform speeds.

A. 1 p.m.

B. 12 noon

C. 11 a.m.

D. 10 a.m.

Solutions

Let speed be x km/hr

So, distance between stations = 10x km

When trains are travelling in opposite direction, relative speed = 2x km/hr.

Train A leaving at 5 am and train B at 7 am,

⇒ Distance travelled by A in 2 hrs = 2x

⇒ Remaining distance = 10x – 2x = 8x

⇒ Meeting time = 8x/2x = 4 hrs

∴ After 4 hrs, at 11 am train B will meet train A.

61. What is tissue?

A. Cells which are similar in origin but dissimilar in form and function.

B. Cells which are dissimilar in origin but similar in form and function.

C. Cells which are dissimilar in origin, form, and function.

D. Cells which are similar in origin, form, and function.

Solutions

The group of the cell of similar origin, function, and structure is called tissue.
The plant tissue is of four types: Epidermal tissue, Vascular tissue, Ground tissue, and Meristematic tissue.
Human Body is made up of four types of tissue: Nervous, Muscle, Epithelial and Connective tissue.

62. If in a certain code, UNGIMMICKY is written as MIGNUYKCIM, then how will COMPLEXITY be written as in the same code?

A. LPOMCYTIXE

B. LPMOOCYTIXE

C. LPMOYCTIXE

D. LPMOCYTIXE

Solutions

The logic here is as follows,

Thus, COMPLEXITY is coded as LPMOCYTIXE.

63. Working together, pipes A and B can fill an empty tank in 10 hours. They worked together for 4 hours and then B stopped, and A continued filling the tank till it was full. It took a total of 13 hours to fill the tank. How long would it take A to fill the empty tank alone?

A. 15 hours

B. 13 hours

C. 16 hours

D. 12 hours

Solutions

Calculation:

Working together, pipes A and B can fill an empty tank in 10 hours,

⇒ 1/A + 1/B = 1/10

together they worked for 4 hours and then A continued, and work completed in 13 hrs,

It means A worked for 13 hrs.

⇒ (4/A + 4/B) + 9/A = 1

⇒ 4/10 + 9/A = 1

∴ A = 15 hrs

Alternate Method

Time is taken to fill the tank by A and B = 10 hrs = 100% of total work

A and B worked together for 4 hrs = 40% of total work

So, 6 hours of work remaining = 60% of total work

Work done by A alone = 13 – 4 = 9 hours

60% of work is done by A in 9 hours

100% of work = (9/60) × 100 = 15 hours

∴ The time taken by A to complete work is 15 hours.

64. As of February 2018, who owns the Hyderabad-based IPL team ‘Sun Risers Hyderabad’?

A. Deccan Chronicle Newspaper

B. Kala Nidhi Maran

C. Chandrababu Naidu

D. Chiranjeevi

Solutions

Kala Nidhi Maran is the owner of Hyderabad- based IPL team ‘Sun Risers Hyderabad’.
Sun Risers Hyderabad was founded in 2012 after the termination of Hyderabad based IPL team ‘Deccan Chargers’

Additional Information:

There are 8 IPL teams in 2019.

TEAM	OWNER
Chennai Super Kings	N. Shrivinas’s India Cements
Delhi Capitals	GMR group
Mumbai Indians	Reliance Industries
Kolkata Knight Riders	Red Chillies Entertainment and Mehta group
Kings XI Punjab	Preity Zinta, Ness Wadia, Karan Paul and Mohit Burman
Rajasthan Royals	Manoj Badale, Lachlan Murdoch
Royal Challengers Bangalore	United Spirits.

65. Direction: The given pie chart represents the annual yield of certain crops in tons (in degree). Study the chart carefully and answer the following question.

If the total production is 9000 tons, then find the yield of rice in tons.

A. 3000

B. 1000

C. 2000

D. 1500

Solutions

360° = 9000 tons

⇒ 1° = 25 tons

Now rice = 40°

⇒ rice = 40 × 25 = 1000

∴ yield of rice = 1000 tons

66. The first Partition of Bengal took place in the year _____

A. 1906 AD

B. 1903 AD

C. 1904 AD

D. 1905 AD

Solutions

The first partition of Bengal was held on 19^th July 1905.

It was announced by Lord Curzon who was the viceroy of India at that time.

The partition made two separate provinces, the Bengal and the Eastern Bengal which also contained Assam province.

The partition of Bengal was annulled in 1911 and Lord Hardinge II was the viceroy of India at that time.

67. Identify a type of asexual reproduction which involves reproduction through parts of a plant such as roots, stem, and leaves?

A. Budding

B. Vegetative propagation

C. Fragmentation

D. Fission

Solutions

Vegetative propagation is the type of asexual reproduction occurs in plants.
This process involves the fragment of plants like roots, stems leaves etc to grow clones which have the same genetic material as the parent plant.

Additional Information:

Budding is the type of asexual reproduction in which new plant is generated from the bud of the cell due to cell division in that particular site.
Fragmentation is the asexual reproduction occurs in the multicellular organism in which the organism breaks down into several fragments.
Fission is the type of asexual reproduction in which a single cell divides into two cells which grow into the size of the original cell.

68. Which Indian author has chronicled the life in the Kumaon hills in the book ‘Things to leave behind’?

A. Shashi Tharoor

B. Anosh Irani

C. Namita Gokhale

D. Vikram Seth

Solutions

The correct answer is Namita Gokhale.

Key Points

Namita Gokhale wrote the popular book ‘ Things to leave behind’.
She won the Sushila Devi Literature award for this novel in the year 2019.
She has written several books like, ‘In search of Sita: Revisiting mythology’, ‘Paro: Dreams of passion’ etc.

Additional Information

AUTHOR	BOOK
Shashi Tharoor	Why I am Hindu
Anosh Irani	The Parcel
Vikram Seth	A suitable boy

69. The number of symbols that are preceded by a letter and not followed by a number in the following expression is ______.

A$1%MB#6&NC = 3!OD + KP

A. 3

B. 4

C. 1

D. 2

Solutions

The pattern required is: symbol preceded by letter and not followed by a number

Given series: A $ 1 % M B # 6 & N C = 3 ! O D + K P

D + K is the only arrangement.

Hence there is only 1 such arrangement.

70. A person holding a pen in his left-hand sees his reflection in the mirror holding the pen in his right hand. This is due to which of the following phenomena?

A. Diffused reflection

B. Total internal reflection

C. Lateral inversion

D. Refraction

Solutions

Lateral Inversion is the phenomenon in which we see inverted images i.e. the left appears to right and vice versa.
If a person who holds a pen in left-hand appears to hold the pen in right-hand, then this phenomenon is due to lateral inversion.

Additional Information:

When light reflects at many angles after the incidence on the surface, such a reflection is called as diffuse reflection.
If the light is propagating from denser medium towards rarer medium and angle of incidence is more than the critical angle, then the light is reflected back in the denser medium and such a phenomenon is called total internal reflection.
Refraction is the phenomenon in which the ray of light deviates from its path when it enters in another medium.

71. What will be the value of the kinetic energy (EK) of a moving body with mass m, if its speed is doubled from v to 2v?

A. ½ E_k

B. 4 E_k

C. There will be no change in E_k

D. 2 E_k

Solutions

The correct answer is 4E_k.

Kinetic energy is the energy possessed due to the motion of the body.
Kinetic energy is given by:

K.E = E_k = ½ × m V²

Where K.E = Kinetic Energy

M= mass of the object

V= Velocity of an object

Here, given, v’ = 2v

∴ K. E = ½ x m × (2 v)²

K. E = ½ x m × 4 v² = 4 (1/2 m v²)

K. E = 4 E_k

Therefore, the kinetic energy of the object will become 4 times when the speed becomes twice.

72. 80% of a number is 100. What is the number?

A. 108

B. 120

C. 80

D. 125

Solutions

Let the number be ‘x’.

80% of a number is 100,

⇒ x × 80/100 = 100

⇒ x = (100 × 100)/80 = 125

73. If the resistance of a conductor is doubled, the current gets halved. This is because:

A. I = V – R

B. I = V/R

C. I = (R/V)n

D. I = V R

Solutions

According to Ohm’s Law, the potential difference (V) across the conductor is directly proportional to the current (I) passing through it.

V = I R

Where, R = Resistance of the conductor.

I = V/R …………….. (1)

So, if the resistance becomes doubled then current become half because current is inversely proportional to resistance (as shown in equation 1).

74. Which north-eastern state of India has signed up to host the 39^th National Games in the year 2022?

A. Meghalaya

B. Mizoram

C. Tripura

D. Manipur

Solutions

Meghalaya will host 39^th National Games in the year 2022.
Goa will organize the 36^th National Game in March-April 2019.

Additional Information:

NATIONAL GAME	YEAR	HOST
37^th	2020	Chhattisgarh
38^th	2021	Uttarakhand

75. In which city is St. Peter’s Basilica, one of the most famous churches in Christianity, located?

A. Madrid

B. Lisbon

C. Pisa

D. Vatican City

Solutions

St. Peter’s Basilica is the famous church in Vatican City, Rome.
It is the largest church in the world.

Additional Information:

CITY	CHURCH
Madrid	La Almudena Cathedral
Pisa	Piazza dei Miracoli
Lisbon	Sé de Lisboa

RRB ALP CBT-I : 9 Aug 2018 Shift-3

B.

C.

D.

Dailymocktest.com

Leave a Comment Cancel reply

Catagory

More Link

Follow Us