1. The place value of 6 in the numeral 186304 is _____________.

2. The face value of 4 in the numeral 934708 is _________.

3. The smallest natural number is __________.

4. How many 4-digit numbers are there?

(a) 99 (b) 8999 (c) 9999 (d) 9000

5. The sum of two odd numbers is:-

(a) always an odd number (b) always an even number (c) sometimes odd, sometimes even.

6. The value of 8967 x 637 + 8967 x 363 is

(a)363000 (b) 8967000 (c)2497680

7. The value of 6308 x 931 - 6308 x 831 is

(a) 630800 (b) 93100 (c) 483570

8. The value of 9235 x 997 is

(a) 8729075 (b) 9207295 (c) 8319725 (d) 8407625

9. The product of two odd numbers is

(a) an odd number (b) an even number (c) sometimes an odd number and sometimes an even number.

10. A number which is neither prime nor composite is _______.

11. The smallest prime number is ________.

12. How many prime numbers are there between 90 and 100?

13. The sum of all prime numbers between 60 and 80 is ________.

14. Which of the following is a pair of co-primes?

(a) 4, 7 (b) 2, 8 (c) 3, 6 (d) 6, 24

15. Which of the following is a perfect number?

(a) 16 (b) 8 (c) 24 (d) 28

16. Which of the following is a prime number?

(a) 161 (b) 111 (c) 139 (d) 203

17. Which of the following is a prime number?

(a) 239 (b) 289 (c) 301 (d) 391

18. What least value should be given to * so that the number 6342*1 is divisible by 3?

19. What least value should be given to * so that 591*26 is divisible by 9?

20. What least value should be given to * so that 653*47 is divisible by 11?

21. The least number of 4 digits which is divisble by 9 is

(a) 1018 (b) 1026 (c) 1009 (d) None of these

22. On dividing a number by 67, the quotient is 53 and the remainder is 9. What is the number?

23. What least number should be subtracted from 12031 to get a number divisible by 57?

24. If x and y are two numbers such that x is a factor of y, then the Least Common Multiple (LCM) of x and y is :-

(a) x (b) y (c) xy (d) x+y

25. The simplest form of the fraction 69/92 is:-

(a) 2/3 (b) 3/4 (c) 13/24 (d) None of these

26. The smallest number which when divided by 4, 6, 10, 15 gives the remainder 3 is:-

(a) 57 (b) 123 (c) 63 (d) 39

27. The Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of two numbers is 13 and 845 respectively. If one of the numbers is 65, the other number is:-

(a) 91 (b) 104 (c) 117 (d) 169

28. The Least Common Multiple of two numbers is 504. Which of the following numbers cannot be the Highest Common Factor of these numbers?

(a) 8 (b) 18 (c) 42 (d) 36

Clue:- The Least Common Multiple should be divisible by the Greatest Common Divisor.

29. Which of the following pairs are co-primes?

(a) (14, 35) (b) (18, 25) (c) (31, 93) (d) (24, 62)

30. The smallest number which when reduced by 3 is divisible by 21, 28, 36, and 45 is:-

(a) 1263 (b) 1260 (c) 1257 (d) 420