2) A milkman produces three kinds of milk. On a particular day, he has 170 litres, 102 litres and 374 litres of the three kinds of milk. He wants to bottle them in bottles of equal sizes so that each of the three varieties of milk would be completed bottled. How many bottle sizes are possible such that the bottle size in terms of litres is an integer ?

1

2

4

34

Answer : 4

3) A number when divided by 296 leaves 75 as a remainder . When the same number is divided by 37, the remainder will be :

1

2

8

11

Answer : 1

4) Find LCM (150, 180, 270)

3600

1800

2700

5400

Answer : 2700

5) On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5 ?

0

1

2

4

Answer : 4

6) Find HCF (63,42,105)

7

3

21

None of these

Answer : 21

7) A number when divided successively by 4 and 5 leaves remainder 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be

1,2

2,3

3,2

4,1

Answer : 2,3

8) Find the remainder of 3^{1000} when divided by 4 ?

1

2

4

6

Answer : 1

9) Find the remainder when the number 9^{100} is divided by 8 ?

1

2

0

4

Answer : 1

10) Three mangoes , four guavas and five watermelons cost Rs.750. Ten watermelons, six mangoes and nine guavas cost Rs.1580. What is the cost of six mangoes, ten watermelons and four guavas?

1280

1180

1080

Cannot be determined

Answer : 1180

11) Find the last digit of the number 1^{2} + 2^{2} + ..... + 99^{2} .

14) A number 15C is divisible by 6. Which of these will be true about the positive integer C ?

B will be even

B will be odd

B will be divisible by 6

Both (a) and (c)

Answer : Both (a) and (c)

15) LCM and HCF of 10! and 15! are respectively,

5! and 25!

5! and 30!

10! ad 30!

15! and 10!

Answer : 15! and 10!

16) What is the value of X*Y if X39048458Y is divisible by 8 and 11, where X and Y are single digit integers ?

25

24

27

32

Answer : 24

17) If n = m + 1, where m is the product of four consecutive positive integers, then which of the following is/are true ?
(A) n is odd
(B) n is not a multiple of 3
(C) n is a perfect square

All three

A and B only

A and C only

None of these

Answer : All three

18) What is the largest 4-digit number that when divided by 19 leaves a remainder of 7 ?

9972

9976

9978

9982

Answer : 9982

19) The least natural number by which (2^{8}) (3^{17}) (5^{13}) must be multiplied so that the product is a perfect square is

30

15

3

5

Answer : 15

20) The greatest number which always divides the product of any 10 even numbers is