GRE maths(quant) feed back september-2010 from orkut

1)
The sum of the first 100 numbers, 1 to 100 is divisible by

(1) 2, 4 and 8
(2) 2 and 4
(3) 2 only
(4) None of these

2)

What is the minimum number of square marbles required to

tile a floor of length 5 metres 78 cm and width 3 metres

74 cm?

(1) 176
(2) 187
(3) 54043
(4) 748

3)
What is the remainder when 9^1 + 9^2 + 9^3 + …. + 9^8 is

divided by 6?

(1) 3
(2) 2
(3) 0
(4) 5

4)
What is the reminder when 91 + 92 + 93 + …… + 99 is

divided by 6?

(1) 0
(2) 3
(3) 4
(4) None of these

5)
Find the value of 1.1! + 2.2! + 3.3! + ……+n.n!

(1) n! +1
(2) (n+1)!
(3) (n+1)!-1
(4) (n+1)!+1

6)
‘a’ and ‘b’ are the lengths of the base and height of a

right angled triangle whose hypotenuse is ‘h’. If the

values of ‘a’ and ‘b’ are positive integers, which of the

following cannot be a value of the square of the

hypotenuse?

(1) 13
(2) 23
(3) 37
(4) 41

7)
Two numbers when divided by a certain divisor leave

remainders of 431 and 379 respectively. When the sum of

these two numbers is divided by the same divisor, the

remainder is 211. What is the divisor?

(1) 599
(2) 1021
(3) 263
(4) Cannot be determined


8)
What is the least number that should be multiplied to 100!

to make it perfectly divisible by 350?

(1) 144
(2) 72
(3) 108
(4) 216

9)
A certain number when successfully divided by 8 and 11

leaves remainders of 3 and 7 respectively. What will be

remainder when the number is divided by the product of 8

and 11, viz 88?

(1) 3
(2) 21
(3) 59
(4) 68

10)
What is the total number of different divisors including 1

and the number that can divide the number 6400?

(1) 24
(2) 27
(3) 27
(4) 68

11)
When 26854 and 27584 are divided by a certain two digit

prime number, the remainder obtained is 47. Which of the

following choices is a possible value of the divisor?

(1) 61
(2) 71
(3) 73
(4) 89

12)

How many times will the digit ‘0′ appear between 1 and

10,000?

(1) 4000
(2) 4003
(3) 2893
(4) 3892

13)
What number should be subtracted from x^3 + 4x^2 – 7x + 12

if it is to be perfectly divisible by x + 3?

(1) 42
(2) 39
(3) 13
(4) None of these

14)
What is the value of M and N respectively? If M39048458N

is divisible by 8 and 11; Where M and N are single digit

integers?

(1) 7, 8
(2) 8, 6
(3) 6, 4
(4) 5, 4


15)
How many zeros contained in 100!?

(1) 100
(2) 24
(3) 97
(4) Cannot be determined