Home » Numbers – Questions and Answers – Quiz 3

# Numbers – Questions and Answers – Quiz 3

1. The largest 5 digit number exactly divisible by 91 is:

99921
99918
99981
99971

2. 768 x 768 x 768 + 232 x 232 x 232/768 x 768 – 768 x 232 + 232 x 232 = ?

1000
536
500
268

3. The smallest 5 digit number exactly divisible by 41 is:

1004
10004
10045
10025

4. How many terms are there in the G.P. 3, 6, 12, 24, … , 384 ?

8
9
10
11

5. If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ?

4x + 6y
x + y + 4
9x + 4y
4x – 9y

6. 9548 + 7314 = 8362 + (?)

8230
8410
8500
8600

7. In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient ?

0
12
13
20

8. 2 + 2^2 + 2^3 + … + 2^9 = ?

2044
1022
1056
None of these

9. The sum of even numbers between 1 and 31 is:

6
28
240
512

10. If the number 91876 * 2 is completely divisible by 8, then the smallest whole number in place of * will be:

1
2
3
4

11. 2056 x 987 = ?

1936372
2029272
1896172
1926172

12. On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:

47619
47719
48619
47649

13. If 60% of 3/5 of a number is 36, then the number is:

80
100
75
90

14. If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y = ?

2 or 6
4
4 or 8
8

15. The difference of the squares of two consecutive odd integers is divisible by which of the following integers ?

3
6
7
8

16. What is the unit digit in (4137)^754?

1
3
7
9

17. 587 x 999 = ?

586413
587523
614823
615173

18. A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:

214
476
954
1908

19. If (64)^2 – (36)^2 = 20 x x, then x = ?

70
120
180
140

20. Which one of the following can’t be the square of natural number ?
32761
81225
42437
20164

21. (2^2 + 4^2 + 6^2 + … + 20^2) = ?
770
1155
1540
385 x 385

22. 854 x 854 x 854 – 276 x 276 x 276/854 x 854 + 854 x 276 + 276 x 276 = ?

1130
578
565
1156

23. 35 + 15 x 1.5 = ?

85
51.5
57.5
5.25

24. The sum of first 45 natural numbers is:

1035
1280
2070
2140

25. 666 ÷ 6 ÷ 3 = ?

37
333
111
84

26. The sum of all two digit numbers divisible by 5 is:
1035
1245
1230
945

27. The difference between the place values of two sevens in the numeral 69758472 is

0
6993
699930
None of these

28. On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will the remainder ?

0
1
2
3

29. What is the unit digit in the product (3^65 x 6^59 x 7^71)?

1
2
4
6

30. 3251 + 587 + 369 – ? = 3007

1250
1300
1375
1200

31. 7589 – ? = 3434

4242
4155
1123
11023

32. 217 x 217 + 183 x 183 = ?

79698
80578
80698
81268

33. The unit digit in the product (784 x 618 x 917 x 463) is:

2
3
4
5

34. If the number 653 xy is divisible by 90, then (x + y) = ?

2
3
4
6

35. 3897 x 999 = ?

3883203
3893103
3639403
3791203

36. What is the unit digit in 7^105 ?

1
5
7
9

37. Which of the following numbers will completely divide (4^61 + 4^62 + 4^63 + 4^64) ?

3
10
11
13

38. 106 x 106 – 94 x 94 = ?

2400
2000
1904
1906

39. A number when divided successively by 4 and 5 leaves remainders 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

40. 8796 x 223 + 8796 x 77 = ?

2736900
2638800
2658560
2716740

41. 8988 ÷ 8 ÷ 4 = ?

4494
561.75
2247
280.875

42. 287 x 287 + 269 x 269 – 2 x 287 x 269 = ?

534
446
354
324

43. 3 + 33 + 333 + 3.33 = ?

362.3
372.33
702.33
702

44. Which one of the following can’t be the square of natural number ?

30976
75625
28561
143642

45. (1000)^9 ÷ 10^24 = ?

10000
1000
100
10

46. {(476 + 424)^2 – 4 x 476 x 424} = ?

2906
3116
2704
2904

Score =
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