Numbers Test 10 – SSC

.In the Shelbyville election, the Republican candidate received one and a half times as many votes as the Democrat candidate. The Democrat candidate received one third more votes than the Independent candidate. 900 votes were cast for the Independent candidate. How many votes were cast for the Republican candidate?

Let b be a positive integer and a=b^2-b.if b*3=4, then a^2-2a is divisible by ?

A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number. He was afraid of forgetting his PIN. He wrote down the number 123 in his diary to remember his PIN. He also wrote out the way to calculate 123 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 123". Once, Prafull saw his diary in which Pinaki wrote this number 123. Prafull did a lot of purchasing, as he now knows Pinaki\'s PIN. What is Pinaki\'s PIN?

The difference of the squares of two consecutive even integers is divisible by which of the following integers ?

6897 is divisible by :

17,13,11,7,5,?

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

The following temperatures were recorded at 5 different places around the world on the same day :-20^oC,10^oC,-15^oC,-1^o and 2^oC.The temperature closest to 0^oC is ?

Find the remainder when 289 is divided by 89?

Which of the following rational numbers is equivalent to -60/72 ?

What is the number which on dividing (x ak) gives 'a' as the quotient and x as the remainder ?

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

Suppose n is an integer such that the sum of digits on n is 2, and 1010

how many terms are there in the GP 3,6,12,24....384?

when 2^256 is divided by 17 the remainder would be ?

Subtract  -2/5 from 7/10 ?

Ramesh and Mukesh both drive to their new home 400 miles away. Ramesh drives  the family car at an average speed of 60 mph. Mukesh drives the removal truck at an average speed of  50  mph. During the journey, ramesh stops for a total of 1 hour and  20  minutes, mukesh stops for half as long. What is the difference in minutes between their arrival times ?

The product of three integers is -600. If two of them are -15 and 10, the third integer is ?

What is the total number of number up to 9999?

476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively?

If the number 357*25* is divisible by both 3 and 5, then the missing digits in the unit’s place and the thousandth place respectively are:

The least common multiple of two natural numbers a and b, is 399. What is the minimum possible sum of the digits of the number a(given a > b)?

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

The absolute value of 4-6 is ?

A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?

Find the least number, that must be subtracted from 87375, to get a number exactly divisibly by 698 ?

The 2's complement representation of (-539)

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

2 2^2 2^3.... 2^9=?

The digit in the unit place in (1038)^67 is ?