## Ques 1.

If ( k + 1) represents an odd integer, which of the following must also be an odd integer ?

(a) 2 ( k + 1)

(b) k (k + 1)

(c) ( k+1) ( k + 2)

(d) ( k + 1)( k - 1)

**Ans 1.**K +1 -> odd; K -> even

Now,2 (K + 1) - > even; K ( k + 1) -> even;

( K+ 1) ( K + 2) --> even; ( K+1) ( k -1) -> odd

## Ques 2.

A boy was asked to write the value of 25 x 92. He wrote it as 2592. The difference between the obtained value and actual value is

(a) 21 x 92

(b) 22 x 93

(c) 23 x 94

(d) Zero

**Ans 2.**2592 = 25 x 34

. . 2592 - 25 x 92 = 25 x 34 - 25 x 34 = 0

## Ques 3.

Subtracting 40% of a number from the number, we get the result as 30. The number is

(a) 28

(b) 60

(c) 52

(d) 70

**Ans 3.**x - 40/100x = 30 or 60/100x = 30

=> x = 50

## Ques 4.

3/126 correct to 5 places of decimal is

(a) 5.01329

(b) 5.51565

(c) 5.11329

(d) 5.21319

**Ans 4**. The choice is obvious.

## Ques 5.

A number exceeds 50 by 20% .The number is

(A) 90

(b) 20

(c) 70

(d) 60

**Ans 5.**x -50/50 x 100 = 20

=> x = 60

## Ques 6.

What number should be added to each of the numbers 8, 21, 13 and 31 as that the resulting number in this order forms a proportion?

(a) 2

(b) 3

(c) 5

(d) 7

**Ans 6**.

## Ques 7.

The number which when multiplied by itself exceeds half a century by a dozen plus two is

(a) 8

(b) 16

(c) 4

(d) 10

**Ans 7.**

## Ques 8.

A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leap of the hare, the ratio of the speed of the dog to that of the hare is

(a) 8 : 5

(b) 9 : 5

(c) 8 : 7

(d) 9 : 7

**Ans 8.**

## Ques 9.

The perimeter of a right- angled triangle is six times the length of its shortest side. The ratio of the sides are

(a) 5 : 4 : 3

(b) 10 : 8 : 6

(c) 11 : 10 : 4

(d) 13 : 12 : 5

**Ans 9.**

## Ques 10.

The mean of 13, 23, 33, 43, 53, 63, and 73, is

(a) 412

(b) 784

(c) 112

(d) 222

**Ans 10.**

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