ELECTRONICS AND COMMUNICATION ENGINEERINGQUANTITATIVE APTITUDE TEST – 1

Numbers & H.C.F. and L.C.M. MARKS : 25

Date : 10.08.2009Duration : 40mins

1. Find the unit’s digit in the product of (367 × 639 × 753).

a) 3 b) 6 c) 4 d) 5

2. A number when divided by 342 gives a remainder 47. When the same number is divided by 19, what would be the remainder ?

a) 9 b) 2 c) 6 d) 7

3. (475+425)2 - 4 × 475 × 425 is equal to :

a) 3600 b) 3500 c) 2500 d) 3160

4. The difference between the local value and the face value of 7 in the numeral 657903 is :

a) 0 b) 7896 c) 6993 d) 903

5. If the unit digit in the product ( 459 × 46 × 28* × 484) is 2, the digit in place of * is

a) 3 b) 5 c) 7 d) None

6. The digit in the unit place of the number represented by (795 – 358) is:

a) 7 b) 0 c) 6 d) 4

7. What least value must be assigned to * so that 86325*6 is divisible by 11 ?

a) 1 b) 2 c) 3 d) 5

8. If ab = 43 , then 3a+2b

3a−2b = ?

a) -1 b) 3 c) 5 d) 6

9. Given that ( 12 +22+32+…+102)= 385, then the value of ( 22 +42+62+…+202) is equal to :

a) 770 b) 1540 c) 1155 d) (385)2

10. If a3b= abc= 180 and a,b,c are positive integers, then the value of c is :

a) 110 b) 25 c) 15 d) None11. Which of the following numbers is exactly divisible by 99 ?

a) 114345 b) 135792 c) 3572404 d) 913464

12. Which of the following numbers should be added to 11158 to make it exactly divisible by 77 ?

a) 9 b) 8 c) 7 d) 5

13. What smallest number of six digits is divisible by 111 ?

a) 111111 b) 110011 c) 100011 d) None of these

14. What number should replace both the asterisks(*) in ( ¿21× ¿

181 ) = 1 ?

a) 21 b) 63 c) 147 d) 3969

15. When a certain number is multiplied by 13, the product consists of entirely of fives. The smallest such number is:

a) 41625 b) 42515 c) 42735 d) 42135

16. The value of :

(1+ 11×2

+ 11×2×4

+ 11×2×4×8

+ 11×2×4×8×16 ) upto four places of decimal is

a) 1.6414 b) 1.6415 c) 1.6416 d) 1.6428

17. The largest natural number which exactly divides the product of any four consecutive natural numbers is :

a) 6 b) 12 c) 24 d) 120

18. If √3n =81, then n = ?

a) 2 b) 4 c) 6 d) 8

19. The smallest number which when added to the sum of the squares of 9 and 10, gives a perfect square, is :

a) 0 b) 3 c) 8 d) 15

20. If 2x−1 + 2x+1 = 320, then the value of x is :

a) 4 b) 6 c) 5 d) 7

21. The H.C.F. and L.C.M. of 22×33×55, 23×32×52×7, and 24×34×5×72×11 is :

a) 24×34×55 ×72×11, 22×32×5 b) 24×34×55 , 24×34×55×7×11

c) 24×34×55×7×11, 24×34×55 d) 22×32×5, 24×34×55 ×72×11

22. The H.C.F. of 9

10 , 1225 ,

1835 and

2140 is :

a) 35 b)

2525 c)

32800 d)

63700

23. The L.C.M. of 13 ,

56 ,

29 and

427 is:

a) 1

54 b) 1027 c)

203 d) none of these

24. The product of two 2 - digit numbers is 2028 and their G.C.M is 13. The numbers are

a) 26, 78 b) 39, 52 c) 13, 156 d) 36, 68

25. Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively, What biggest measure can measure all the different quantities exactly?

a) 1 litre b) 7 litres c) 31 litres d) 41 litres

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