# Numbers

1) Find the number of zeros at the end of 150! ?

1. 36
2. 37
3. 30
4. 31

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. 1
2. 2
3. 4
4. 34

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. 1
2. 2
3. 8
4. 11

4) Find LCM (150, 180, 270)

1. 3600
2. 1800
3. 2700
4. 5400

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 ?

1. 0
2. 1
3. 2
4. 4

6) Find HCF (63,42,105)

1. 7
2. 3
3. 21
4. None of these

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. 1,2
2. 2,3
3. 3,2
4. 4,1

8) Find the remainder of 31000 when divided by 4 ?

1. 1
2. 2
3. 4
4. 6

9) Find the remainder when the number 9100 is divided by 8 ?

1. 1
2. 2
3. 0
4. 4

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?

1. 1280
2. 1180
3. 1080
4. Cannot be determined

11) Find the last digit of the number 12 + 22 + ..... + 992 .

1. 0
2. 1
3. 2
4. 3

12) Is HCF[a,b,c,d] = HCF[HCF(a,c) , HCF(b,d) ] ?

1. Yes
2. No
3. Both
4. Cannot say

13) Is LCM[a,b,c,d,e] = LCM[LCM(a,c) , LCM(b,d) , LCM(c,e) , LCM(d,a), LCM(e,b)] ?

1. Yes
2. No
3. Both
4. Cannot Say

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

1. B will be even
2. B will be odd
3. B will be divisible by 6
4. Both (a) and (c)

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

1. 5! and 25!
2. 5! and 30!
4. 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 ?

1. 25
2. 24
3. 27
4. 32

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

1. All three
2. A and B only
3. A and C only
4. None of these

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

1. 9972
2. 9976
3. 9978
4. 9982

19) The least natural number by which (28) (317) (513) must be multiplied so that the product is a perfect square is

1. 30
2. 15
3. 3
4. 5

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

1. 210 X 5!
2. 210
3. 210 X 10!
4. None of these