1. A number whose one-fifth part increased by 4 is equal to its one-fourth part diminished by 10, is:

(a) 260

(b) 280

(c) 240

(d) 270

2. The sum of a natural number and its square equals the product of the first three prime numbers. The number is

(a) 2

(b) 3

(c) 5

(d) 6

3. A man has some hens and cows It the number of heads: number of feet = 12 : 35, find out the number of hens, if

the number of heads alone is 48.

(a) 28

(b) 26

(c) 24

(d) 22

4. The sum of all those prime numbers which are not greater than 17 is

(a) 59

(b) 58

(c) 41

(d) 42

5. The number of integers in between 100 and 600, which are divisible by 4 and 6 both, is

(a) 40

(b) 42

(c) 41

(d) 50

6. The sum of a two digit number and the number obtained by reversing its digits is a square number. How many such numbers are there?

(a) 5

(b) 6

(c) 7

(d) 8

7. In four consecutive prime numbers that are in ascending order, the product of the first three is 385 and that of

the last three is 1001. The largest given prime number is

(a) 11

(b) 13

(c) 17

(d) 19

8. The length of a road is one kilometer. The number of plants required for plantation at a gap of 20 metres in both

sides of the road is

(a) 102

(b) 100

(c) 51

(d) 50

9. A certain number when divided by 175 leaves a remainder 132. When the same number is divided by 25, the

remainder is:

(a) 6

(b) 7

(c) 8

(d) 9

10. A number when divided by 280 leaves 115 as remainder. When the same number is divided by 35, the

remainder is

(a) 15

(b) 10

(c) 20

(d) 17