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BANKING SOLUTIONS
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NUMBER SYSTEM -2
Level 1:Q.1.
What least the number would be subtracted from 427398 so that the remaining number is divisible by 15?
[BSRB Delhi Bank PO Exam]
1) 6
2)3
3) 16
4)11 5) NOT
Q.2. What is the smallest number that must be added to 1234567 to make ir perfectly divisible by 12?
1) 2
2)1
3) 5
4)4
5) NOT
Q.3.
If 248* is exactly divisible by 9. What digit should come in the place of *?
[BSRB Hyderabad Bank Clerk]
1) 6
2)3
3) 4
4)2
5) NOT
Q.4. The product of two successive positive integers is 462. Which is the smaller integer?
[Corporation Bank Clerk Exam]
1) 20
2)22
3) 21
4)23 5) NOT
Q.5. Which one of the following will completely divide 571+572+573 ?
[SSC]
1) 150
2)160
3) 155
4)30 5) NOT
Q.6.
A number, when divided by 221, leaves a remainder 64. What is the remainder if the same number is divided
by 13?
[CPO(SI)]
1) 0
2)1
3) 11
4)12 5) NOT
Q.7. When a number is divided by 24, the remainder is 16. The remainder when the same number is divided by 12 is
[MTS]
1) 3
2) 4
3) 6
4) 8
5) NOT
Q.8. When a number is divided by 36, the remainder is 19. What will be the remainder when the number is divided
by 12?
[SSC]
1) 7
2) 5
3) 3
4) 0
5) NOT
Q.9. Both the end digits of a 999 digit number N is 3 and N is divisible by 11, then all the middle digit are:
[SSC (FCI)]
1) 2
2)4
3) 6
4) 8
5) NOT
Q.10. Both the end digits of a 99 digit number N are 1. N is divisible by 11. Then all the middle digits are :
[SSC]
1) 2
2) 3
3) 4
4) 5
5) NOT
Q.11. A number when divided by 56, the remainder is 29. If the number is divided by 8 then the remainder is
[SSC Tax Assistant]
1) 5
2) 6
3) 7
4) 9
5) NOT
Q.12. 491+492+493+494 is divisible by
[SSC Tax Assistant]
1)17
2)13
3) 11
4) 3
5) NOT
Q.13. If the number 517 * 324 is completely divisible by 3, then the smallest whole number in place of * will be:
[IBPS PO Prelims]
1)0
2)1
3) 2
4) 3
5) NOT
Q.14. If the number 481*673 is completely divisible by 9, then the smallest whole number in place of * will be :
[IBPS PO Mains]
1)2
2)5
3) 6
4) 7
5) NOT
Q.15. If the number 97215*6 is completely divisible by 11, then the smallest whole number in place of * will be:
[IBPS PO Mains]
1)3
2)2
3) 1
4) 5
5) NOT
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NUMBER SYSTEM
Q.16. If the number 91876*2 is completely divisible by 8, then the smallest whole number in place of * will be:
[IBPS PO Prelims]
1)1
2)2
3) 3
4) 4
5) NOT
Q.17. Which one of the following numbers is exactly divisible by 11?
[IBPS PO Prelims]
1)235641
2)245642
3) 315624
4) 415624
5) NOT
Q.18. How many 3 digit numbers are divisible by 6 in all ?
1)149
2)150
3) 151
4) 166
5) NOT
Q.19. Fine the value of ‗X‘ if 67X574 is divisible by 11.
[SBI Clerk Prelims]
1)2
2)3
3) 5
4) 4
5) NOT
Q.20. What least number must be added to 5631, to make it exactly divisible by 34?
1) 9
2) 11
3) 23
4) 32
5) NOT
Q.21. The smallest number that must be subtracted from 1000 to make the resulting number a perfect square is
1) 37
2) 38
3) 39
4) 40
5) NOT
Q.22. What is the smallest number that must be added to 1780 to make it a perfect square ?
1) 39
2) 49
3) 59
4) 69
5) NOT
Q.23. The least number which must be subtracted from 2361 to make it a perfect square is:
[IBPS PO]
1) 77
2) 67
3) 57
4) 47
5) NOT
Q.24. Which natural number is nearest to 9217, which is completely divisible by 88?
[SBI PO Mains]
1) 9152
2) 9240
3) 9046
4) 9184
5) NOT
Q.25. Which natural number is nearest to 8485, which is completely divisible by 75?
[SBI PO Mains]
1) 8475
2) 8500
3) 8550
4) 8525
5) NOT
Q.26. What least number must be subtracted from 13601, so that the remainder is divisible by 87?
[SBI Clerk]
1) 23
2) 31
3) 29
4) 37
5) 49
Q.27. The digit in unit‘s place of the product 81 x 82 x 83 x …..x 89 is
[SBI Clerk Prelims]
1) 0
2)2
3)6
4)8
5) NOT
Level 2:Q.28. If 904K08 is divisible by 72, then K is equal to
[SBI PO Mains]
1)2
2)4
3) 6
4) 3
5) NOT
Q.29. Find the largest possible two digit number (From the given options) which can divide 10864128.
1) 77
2)55
3) 88
4) 99
5) NOT
Q.30. What is the least number that must be subtracted from 157 So that it is perfectly divisible by 73?
1)7
2)21
3) 71
4) 52
5) NOT
Q.31. Which of the following number is divisible by 132?
[RBI]
1)213480
2)86273
3) 86724
4) 78520
5) NOT
Q.32. The smallest five-digit number which is exactly divisible by 476, is
[RRB Ajmer ECRC Exam]
1)47600
2)10000
3) 10476
4) 10472
5) NOT
Q.33. What least number of 5 digits is divisible by 41?
[SSC CPO Sub Inspector Exam,]
1) 10045
2)10004
3) 10041
4) 41000
5) NOT
Q.34. A 4 – digit number is formed by repeating a 2-digit number such as 2525, 3232, etc. Any number of this form is
always exactly divisible by:
[SSC Graduate Level Prelim]
1)7
2)11
3) 13
4) Smallest 3 digit prime number
5) NOT
Q.35. The divisor is 25 times the quotient and 5 times the remainder. If the quotient is 16, the dividend is
[SSC Graduate Level Prelim]
1)6400
2)6480
3) 400
4) 480
5) NOT
Q.36. If a number is decreased by 4 and divided by 6, the result is 8. What should be the result if 2 is subtracted from
the number and then it is divided by 5?
[BSRB Delhi Bank PO Exam]
1)9
2)10
3)11
4)10
5) NOT
Q.37. A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the
remainder. The number is:
[SSC Graduate Level Prelim]
1) 220030
2) 22030
3) 1220
4) 1250
5) NOT
Q.38. How many members less than 1000 are multiples of both 10 and 13 ?
1) 9
2) 8
3) 6
4) 7
5) NOT
Q.39. Which is greater (100)101 or (101)100 ?
1) 100101
2) 101100
3) Both are equal
4) CND
5) NOT
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NUMBER SYSTEM
Q.40. If the HCF of two numbers is 12 and HCF of two other numbers is 15, then find the HCF of all the four
numbers.
1) 3
2) 12
3) 60
4) 65
5) NOT
Q.41. A number when divided successively by 3 and 4, leaves the remainder 2 and 1 respectively. Find the remainder
when the same no. is divided by 12.
1) 6
2) 5
3) 3
4) 4
5) NOT
Q.42. A no. when divided by 5 leaves remainder 2 and when divided by 4 leaves remainder 3. Find the smallest
positive no. that satisfies the above condition.
1) 47
2) 27
3) 67
4) 25
5) NOT
Q.43. A no. when divided by 115 leaves remainder 69. What is the remainder, if the no. is divided by 23?
1) 21
2) zero
3) 6
4) 18
5) NOT
Q.44. Find th e remainder when 86 x 293 x 4929 is divided by 13.
1) 5
2) 7
3) 11
4) 12
5) NOT
Q.45. Find the remainder when (6256 +1)
1) 1
2) 0
3) 2
4) NOT
Q.46. Find the largest 3-digit no.Which when divide by 4 leaves remainder 3 and when divided by 3, leaves remainder
2.
1) 983
2) 95
3) 971
4) 985
5) NOT
Q.47. Find the remainder when (258) 600 is divided by 256.
[RBI]
1) 1
2) 2
3) 31
4) NOT
Q.48. (1! + 2! + 3! + 4! +……+ 100!) When divided by 4 would leave remainder1) 0
2) 1
3) 2
4) 2 or 3
Q.49. A number when divided by 225 leaves a remainder 49. What will be the remainder when that no. is divided by
45?
1) 42
2) 4
3) 39
4) NOT
Q.50. (312 + 313 + 314 + 315 +316) is divisible by
[RBI]
1) 11
2) 27
3) 81
4) All of the above
Q.51. Find the remainder when 7162 is divided by 800.
[RBI]
1) 49
2) 343
3) 7
4) 700
Q.52. (76 - 46) is divisible by1) 37
2) 99
3) 127
4) All of the above
Q.53. Find the maximum value of abcd, if a2 +b2+c2+d2 =1
1) 2
2) 1
3) 1/16
4) CND
Q.54. Find the unit digit of the expression given below[
+(
+(
+(
+ ……+
1) 4
2) 0
3) 5
4) 7
Q.55. Fine the remainder when
[
+(
+(
+(
+ ……+ (
] is divided by 5.
1) 4
2)3
3) 0
4) 1
Q.56. The number of zeros at the end of (226 - 225 - 224) x (398 - 397 - 396)
1) 2
2) 1
3) 4
4) 0
Q.57. The last digit of the expression 9 x 42 x 93 x 44 x 95 x 46 x …. x 999 x 4100 is __
[RBI]
1) 1
2) 4
3) 6
4) None
Q.58. Find the last digit of the expression
[RBI]
2
3
4
5 6
49
50
9 + 4 + 9 + 4 + 9 4 + ……+ 9 + 4
1) 0
2)5
3) 2
4) None
Q.59. Fine the remainder when 1! + 2! +3! + …….. + 92! Is divided by 8.
1) 1
2) 5
3) 4
4) 3
Q.60. Find the minimum no. of times, a typist has to press the button on the keyboard, in order to enter the serial
number of candidates applying for an entrance examination, upto 800.
[RBI]
1) 2287
2) 2292
3) 2289
4) None
Q.61. Fine the unit digit of
1) 2
2) 8
3) 6
4) 4
Q.62. Fine the minimum no. of zeros at the end of the given expression
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NUMBER SYSTEM
62 x 42 x 55 x 82 +102 x 202 x 32 x 52 + 62 x 52 x 22 x 102 – 22 x 54 x 32 x 81
1) 4
2) 5
3) 6
4) None
40 is
Q.63. The last digit of 3
[SSC]
1) 1
2) 3
3) 7
Q.64. The digit in unit‘s place of the number
4) 9
[SSC]
(1570)2 + (1571)2 + (1572)2 + (1573)2 is
1) 4
2) 1
3) 2
Q.65. The unit digit in the product (122)173 is
4) 3
[SSC]
1) 2
2) 4
3) 6
4) 8
372
373
Q.66. The unit digit in the sum of (124) + (124) is
[MTS]
1) 5
2) 4
3) 2
Q.67. The unit digit in the product 328 x 1142 x 735 is
4) 0
1) 5
2) 4
3) 2
94
95
Q.68. The unit digit in (234) + (234) is
4) 0
1) 0
2) 2
3) 4
Q.69. The unit digit in the product 771 x 663 x 365 is
4) 6
[MTS]
[SSC Tax Assistant]
[MTS]
1) 1
2) 2
3) 3
4) 4
Q.70. By what least number should 4320 multiplied so as to obtain a number which IS PERFECT CUBE?
[CPO (SI)]
1) 40
2) 50
3) 60
4) 80
Q.71. Which one of the following is a prime number?
Q.72.
Q.73.
Q.74.
Q.75.
Q.76.
Q.77.
Q.78.
Q.79.
Q.80.
Q.81.
Q.82.
Q.83.
[C.D.S]
1) 161
2) 171
3) 173
4) 221
4726 soldiers were divided in two groups for arranging each group in a solid square. It was found that there
were some excess solders in the second group. Number of rows in the first group was 32. So the minimum
number of soldiers in excess in the second group is
[S.S.C Tax Assistant]
1) 32
2) 41
3) 100
4) 102
The number of times 2 is used while writing the numbers from 1 to 100 is
[CPO (SI)]
1) 19
2) 18
3) 21
4) 20
The length of road is one kilometers. The number of plants required for plantation at a gap of 20 meters in the
both sides of the road is :
[SSC]
1) 102
2) 100
3) 51
4) 50
By what least nu7mber should 675 be multiplied to obtained a number which is a perfect cube?
[SSC]
1) 7
2) 8
3) 5
4) 6
The smallest positive integer, which is to be deducted from 8560 to make the difference a perfect square is:
1) 96
2) 954
3) 97
4) 91
Three-digit number 4a3 is added to another three – digit number 984 to give the four digit number 13b7 which
is divisible by 11. Then the value of a+b is
[SSC]
1) 12
2) 9
3) 10
4) 11
The unit digit in the product (784 x 618 x 917 x 463) is:
[RRB]
1)2
2)3
3) 4
4) 5
5) NOT
What is the unit digit in 7105 ?
[SBI PO Mains]
1)1
2)5
3) 7
4) 9
5) NOT [SSC]
What is the unit digit in ( 365 x 659 x 771) ?
[RBI]
1) 1
2) 2
3) 4
4) 6
5) NOT
What is the unit digit in (795 - 358)?
[RBI]
1) 0
2) 4
3) 6
4) 7
5) NOT
What is the unit in (4137)754 ?
[SBI SO]
1) 1
2) 3
3) 7
4) 9
5) NOT
What is the unit digit in {(6374)1793 x (625)317 x (341)491}?
[SBI SO]
1) 0
2) 2
3) 3
4) 5
5) NOT
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NUMBER SYSTEM
Q.84. Which one of the following numbers is completely divisible by 45?
1) 181560
2) 331145
3) 202860
4) 2033550
5) NOT
Q.85. Which one of the following numbers is completely divisible by 99?
1) 3572404
2) 135792
3) 913464
4) 114345
5) NOT
[RBI]
[RBI]
Q.86. If the number 42573* is exactly divisible by 72, then the minimum value of * is:
[RBI]
1) 4
2) 5
3) 6
4) 7
5) 8
Q.87. If the product 4864 x 9 P 2 is divisible by 12, the value of P is :
[SBI PO Prelims]
1) 2
2) 5
3) 6
4) 8
5) NOT
Q.88. The largest 4-digit number exactly divisible by 88 is
[SBI SO]
1) 9944
2) 9768
3) 9988
4) 8888
5) NOT
Q.89. The largest 5-digit number exactly divisible by 91 is:
[SBI PO Prelims]
1) 99921
2) 99918
3) 99981
4) 99971
5) NOT
Q.90. On dividing a number by 68, we get 269 as dividend and 0 as remainder. On dividing the same number by
67,what will be the reminder?
[SSC]
1) 0
2) 1
3) 2
4) 3
5) NOT
Q.91. On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the
remainder?
[SSC]
1) 4
2) 5
3) 6
4) 7
5) NOT
Q.92. On dividing a number 357, we get 39 as remainder. On dividing the same number by 17, what will be the
remainder?
[SSC]
1) 0
2) 3
3) 5
4) 11
5) NOT
Q.93. The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and
15 as remainder. What is the smaller number?
[LIC]
1) 240
2) 270
3) 295
4) 360
5) NOT
Q.94. In a division sum, the reminder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as
quotient. What is the correct quotient?
[SSC]
1) 0
2) 12
3) 13
4) 20
5) NOT
Q.95. The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
1)
2)
3)
4)
5) NOT
Q.96. On dividing 2272 as well as 875 by 3 digit number N, we get the same remainder. The sum of the digits of N is
:
1) 10
2) 11
3) 12
4) 13
5) NOT
Q.97. On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:
1) 47619
2) 47719
3) 48619
4) 47649
5) NOT
Q.98. The difference of squares of two consecutive even integers is divisible by which of the following integers?
1) 3
2) 4
3) 6
4) 7
5) NOT
Q.99. What will be the remainder when 17200 is divided by 18?
[RBI]
1) 17
2) 16
3) 1
4) 2
5) NOT
Q.100. What will ben of the following is the common factor of (4743 +4343) and (4747+4347)
[RBI]
1) (47-43)
2) (47+43)
3) (4743 +4343) 4) NOT
Q.101. Which one of the following numbers will completely divided (461 +462 +463 +464)
1) 3
2) 10
3) 11
4) 13
5) NOT
Q.102. Which one of the following numbers will completely divided (325 +326 +327+ 328) ?
1) 11
2) 16
3) 25
4) 30
5) NOT
Q.103. 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
[SSC]
1) 1, 2
2) 2, 3
3) 3, 2
4) 4, 1
5) NOT
Q.104. A number was divided successively in order by 4, 5 and 6. The remainders were respectively2, 3 and 4. The
number is
1) 214
2) 476
3) 954
4) 1908
5) NOT
Q.105. When number is divided by 13, the remainder is 11. When the same number is divided by 17, the remainder is
9. What is the number?
1) 339
2) 349
3) 369
4) data inadequate
5) NOT
Q.106. A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder
will be:
[CBI]
1) 1
2) 2
3) 8
4) 11
5) NOT
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NUMBER SYSTEM
Q.107. Ashutosh has 48 apple tree, 60 mango trees and 96 banana trees. These have to be arranged in rows such that
each rows has the same number of trees and all are of the same type. Find the minimum number of such rows
that can be formed.
1) 11
2) 12
3) 34
4) 17
5) NOT
Q.108. Toys were distributed equally among 18 children in such a way that the number of toys each child gets is equal
to the total number of children and after distribution 6 toys are left out. What was the total number of toys:?
1) 318
2)336
3)330
4) 324
5) NOT
Q.109. A palindrome is a positive integer that is the same when read forwards or backwards. For example, 545 and
1331 are both palindromes. The difference between the smallest three-digit palindrome and the largest three
digit palindrome is:
[RBI]
1) 909
2) 898
3)888
4) 979
5) NOT
Q.110. 280 oranges are divided among 50 girls and boys so that each boy get 5 oranges and each girl gets 7 oranges.
How many boys are there?
1) 35
2) 15
3)30
4) NOT
Q.111. The digit in the unit place of the number represented by (795 - 358) is
[RBI]
1) 7
2) 0
3) 6
4)4
5) NOT
Q.112. If a book has 252 pages, how many digits have been used to number the pages?
[SBI PO Mains]
1) 252
2) 648
3)504
4) 126
5) NOT
Q.113. On the last day of college, students exchanged autographs. A total of 870 autographs were exchanged. How
many students were there in the college?
1) 30 2) 40 3) 48 4) 50 5) NOT
Q.114. Find the smallest perfect square greater than 4000 that is divisible by 392.
1) 6272
2) 5488
3)7056 4) 4704 5) NOT
Q.115. In an entrance examination of GATE, there are two sections of Biological science students and the two
sections are Life sciences and Biotechnology. If 10 students of Biotechnology shift over to life science, the
strength of appearing students in Life sciences becomes three times the strength of Biotechnology. But if 10
students shift over from Life Science to Biotechnology, both Life Science and Biotechnology students become
equal. How many students are there in Life Science and Biotechnology?
1) 50 and 30
2) 45 and 15
3)90 and 40
4)30 and 50
5) NOT
Q.116. On the Independence Day, sweets were to be equally distributed amongst 350 children. But on that particular
day, 25 children were absent. Thus each child got 5 extra sweets. How many sweets did each child get?
1) 55 2) 70 3) 50 4) 65 5) NOT
Q.117. A mother has three children. Each of their ages is a different prime number. The sum of their ages is 41 and
the difference between two of their ages is 16. Determine the ages of the three children.
1) 7, 11 and 23 2) 5, 11 and 25 3) 7, 13 and 21 4) 9, 11 and 21 5) NOT
Q.118. The unit digit in the product 122173 is
[SSC Multitasking]
1) 2
2) 4
3) 6
4) 8
5) NOT
Q.119. The unit digit in the sum of 124372 + 124 373 is
[SSC CGL]
1) 5
2) 4
3)2
4) 0
5) NOT
Q.120. The last digit of (1001)2008 + 1002 is
[SSC CGL]
1) 0
2) 3
3) 4
4) 6
5) NOT
Q.121. Find the unit digit in the product
[SSC CGL]
1) 1
2) 2
3)5
4) 7
5) NOT
Q.122. The unit‘s digit of the expression 25 6521+ 36 528 + 7354 is
[SSC Multitasking]
1) 6
2) 5
3) 4
4) 0
5) NOT
Q.123. The units digit in the product 771 x 663 x 365 is
[SBI PO Mains]
1) 1
2) 2
3)3
4) 4
5) NOT
Q.124. Units digit of the number (22)23 is
[SSC PO]
1) 4
2) 6
3) 8
4) 2
5) NOT
Q.125. The unit‘s digit in the expansion of (2137) 754 is
[SSC SO]
1) 1
2) 3
3) 7
4) 9
5) NOT
Q.126. What will be the unit digit in 7105 ?
[RBI]
1) 5
2) 7
3) 9
4) 1
5) NOT
Q.127. The digit in unit‘s place of the product (2153) 167 is
[UPSC –IES]
1) 1
2)3
3)7
4) 9
5) NOT
Q.128. The digit in the unit‘s place of the product
[UPSC –CSAT]
(2464) 1793 x (615) 317 x (131)491 is
1) 0
2) 2
3) 3
4) 5
5) NOT
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NUMBER SYSTEM
Q.129. The digit in the unit‘s place of [(215) 98 + (21) 29 – (106) 100 + (705) 35 – (16) 4 + 259] is
[SBI SO]
1) 1
2) 4
3)5
4) 6
5) NOT
Level 3:Q.130. On January 1, 2004, two new societies, S1 and S2 are formed each with ‗n‘ members. On the first day of each
subsequent month, S1 , adds b members while S2 multiplies its current number of members by a constant factor
‗r‘. Both the societies have the same number of membe3rs on July 2, 2004. If b= 10.5n, what is the value of
‗r‘?
[CAT]
1) 2.0 2) 1.9 3) 1.8 4) 1.7
Q.131. Each family in a locality has at most two adults, and no family has fewer than 3 children. Considering all the
families together, there are more girls than families. Then the minimum possible number of families in the
locality is :
[CAT]
1) 4
2) 5
3) 2
4) 3
Q.132. What is the remainder when 496 is divided by 6?
[RBI]
1) 0
2) 2
3) 3
4) 4
Q.133. What is the sum of all two-digit numbers that give a remainder of 3, when they are divided by 7?
[CAT]
1) 666 2)676 3)683 4) 777
Q.134. Let x and y be positive integers such that x is prime and y is composite. Then,
[CAT]
1) y-x cannot be an even integer
2) xy cannot be an even integer
3)
cannot be an even integer
4)
Q.135. If a, a+2, a+4 are prime numbers, then solutions for a is
[CAT]
1) one 2) two 3) three 4) more than three
Q.136. When 2256 is divided by 17, the remainder would be—
[CAT]
1) 1
2) 16 3) 14 4) None
Q.137. Three pieces of cakes of weights 4 lbws, 6 lbs and 7 lbs respectively are to be divided into parts of equal
weights. Further, each part must be as heavy as possible. If one such part is served to each guest, ehn what is
the maximum no. of guests that could be entertained?
[CAT]
Q.138.
Q.139.
Q.140.
Q.141.
Q.142.
Q.143.
Q.144.
1)54 2) 72 3) 20 4) 41
A red light flashes 3 times per minutes and a green light flashes 5 times in two minutes at regular intervals. If
both the lights starts flashing at the same time, how many times do they flash together in each hour? [CAT]
1) 30 2) 24 3) 20 4) 60
Let = 1421 x 1423 x 1425. What is the remainder when N is divided by 12 ?
[CAT]
1) 0
2) 9
3) 3
4) 6
In a 4 – digit number, the sum of the first two digit is equal to that of last two digits. The sum of the first and
the last digits is equal to the third digit. Finally. The sum of the other two digits. What is the third digit of the
number?
[CAT]
1) 5
2) 8
3) 1
4) 4
The no. of employees in Obelix Menhir Co. is a Prime number and is less than 300. The ratio of the no. of
employees who are graduates and above, to that of employees who are not, can possibly be --[CAT]
1) 101:88
2) 87:100
3) 110:111
4) 85:98
5) 97:84
When you reserve the digits of the numbers 13, the number increases by 18. How many other two digit
numbers increase by 18, when their digits are reversed?
[CAT]
1) 5
2) 6
3) 7
4) 8
5) 10
The sum of four consecutive two – digit odd numbers, when divided by 10, becomes a perfect square. Which
of the following can possibly be one of those four numbers?
[CAT]
1) 21 2)25 3) 41 4) 67 5) 73
Find the number of zeros in the product of 10!
1) 2
2) 5
3) 10
4) 1
5) NOT
Q.145. Find the number of zeros at the end of the product of 2222 x 5555 .
1) 2222
2)222
3)22
[RBI]
4) 20000
5) NOT
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NUMBER SYSTEM
Q.146. Find the number of zeros at the end of the product of the expression 21 x 52 x 23 x 54 x 25 x 56 x 27 x 58 x 29 x
510
1) 25
2) 20
3) 10
4) 15
5) NOT
Q.147. The number of zeros at the end of the expression 10 +100 +1000 + ……… + 10000000000 is :
1) 1
2) 10
3)
4) 55
[RBI]
5) NOT
Q.148. Number of zeros at the end of the product of the expression 10 x 100 x 1000 x 10000 x ….. 10000000000 is :
1) 10
2) 100 3)50
4) -55 4) NOT
Q.149. Number of zeros at the end of the end of the following expression (5!)5! + 10! 10! + 50! 50! + 100! 100! Is: [CAT]
1) 165 2) 120 3)125 4) Not
Q.150. Find the largest power of 7 that can exactly divide 777!
[CAT]
1) 128 2) 100 3)120 4) 125 5) NOT
Q.151. Find the largest value of in the 10n which can exactly divided 1000!.
1) 250 2) 249 3)200 4) 226 5) NOT
Q.152. Find the number of zeros at the end of 1000!
[RBI]
1) 249 2) 250 3)234 4) 200 5) NOT
Q.153. The number of zeros at the end of the 100! Is :
1)25
2) 50
3) 24
4) 100 5) NOT
Q.154. Find the highest power of 63 which can exactly divided 6336!.
1) 1054
2) 1000
3)1050 4) 10555
[CAT]
5) NOT
Q.155. Find the highest power 40 which can exactly divide 4000!
1) 999 2) 1000 3)948 4) 900 5) NOT
Q.156. Find the highest power of 81 that can divided 1800!.
[UPSC-IES]
1) 224 2) 200 3) 225 4) 250 5) NOT
Q.157. Find the unit digit of the product of all the odd prime numbers.
1) 2
2) 6
3) 7
4) 5
[CAT]
5) NOT
Q.158. Find the unit digit of 111! (factorial 111).
1) 1
2) 0
3) 4
4) 5
5) NOT
Q.159. Find the last digit of 222888 + 888222
1) 9
2) 2
3) 0
4) 1
5) NOT
[UPSC –IAS]
Q.160. Find the last digit of
1) 8
2) 6
3) 3
4) 2
5) NOT
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NUMBER SYSTEM
Q.161. Find the last digit of the expression :
[RBI]
12 + 22 +32 +42 + ………+1002
1) 7
2) 2
3) 1
4) 0
5) NOT
Q.162. The unit digit of the expression
Now,
1) 7
[CAT]
is:
2) 9
3) 8
4) NOT
Q.163. Find the unit digit of the expression
[CAT]
8889235! + 2229235! + 6662359! + 9999999!
1) 9
2) 8
3) 7
4) 4
5) NOT
Q.164. The last digit of the following expression is :
(1!) 1 +(2!)2 + (3!)3 + (4!)4 + …… + (10!)10
1) 4
2) 5
3) 6
4) 7
5) NOT
[UPSC – CSAT]
Q.165. The last 5 digits of the following expression will be:
(1!)5 +(2!)4+( 3!)3+ (4!)2 + (5!)1 (10!)5 + (100!)4+(1000!)3+(10000!)2+(100000!)
1) 45939
2)00929
3) 20929
Q.166. Find the remainder of
1) 81
2) 27
3) 64
4)CND
5) NOT
[UPSC – CSAT]
.
4) 12
5) NOT
Q.167. Find the remainder when 101 + 102 + 103+ 104 + 105 + …. + 1099 is divided by 6.
1) 0
2) 6
3) 3
4) 2
Q.168. The remainder of
1) 0
2) 1
3) 2
Q.169. The remainder of
1) 2
2) 1
3) 4
5) NOT
is :
4) 3
[RBI]
5) NOT
:
[RBI]
4) NOT
Q.170. The remainder when 81785 is divided by 7 is :
1) 5
2) 1
3) 6
4) CND
[RBI]
5) NOT
Q.171. The remainder when 16 3500 is divided by 17 is :
1)1
2) 0
3)16
4) NOT
Q.172. The remainder when 381 is divided by 28 is:
1) 1
2) 8
3)18
4) 26
[CAT]
5) 27
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NUMBER SYSTEM
Q.173. The remainder of
1) 8
2) 10
is :
3) 4
[RBI]
4) NOT
Q.174. The remainder when 367! Is divided by 80 :
1) 0
2) 1
3) 2
4) CND
[SAT]
5) NOT
Q.175. Earlier when I have created my e-mail-ID , the password was consisting of first 4 prime numbers, Recently
when I tried to check my emails I got dumbfounded since I could not remember my password exactly. So
when I have written 2735, my computer indicated me that no digit is correctly placed. Again I tried 5273, I got
the same response. So once again I have written only 3 as the left most digit for my password it again indicate
me that it was wrong. Finally I have taken one more attempt and got the account open. The code the code of
my password is:
[UPSC – CSAT]
1) 2537
2) 7352
3) 7325
4) 7325
5) NOT
Q.176. Maximum number of squares possible that can be constructed using 31 pencils of equal length on the table:
[UPSC – CSAT]
1) 30
2) 20
3)15
4)29
5) NOT
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NUMBER SYSTEM
Answer key
Level - 1
Q.1.
Q.2.
Q.3.
Q.4.
Q.5.
Q.6.
Q.7.
Q.8.
Q.9.
Q.10.
Q.11.
Q.12.
Q.13.
Q.14.
Q.15.
Q.16.
Q.17.
Q.18.
Q.19.
Q.20.
Q.21.
Q.22.
Q.23.
Q.24.
Q.25.
Q.26.
Q.27.
2
3
3
3
3
4
2
1
3
1
1
1
3
4
1
3
4
2
2
2
3
4
3
2
1
3
1
Level -2
Q.28.
Q.29.
Q.30.
Q.31.
Q.32.
Q.33.
Q.34.
Q.35.
Q.36.
Q.37.
Q.38.
Q.39.
Q.40.
Q.41.
Q.42.
3
3
3
3
4
2
4
2
4
1
4
1
1
2
5
Q.43.
Q.44.
Q.45.
Q.46.
Q.47.
Q.48.
Q.49.
Q.50.
Q.51.
Q.52.
Q.53.
Q.54.
Q.55.
Q.56.
Q.57.
Q.58.
Q.59.
Q.60.
Q.61.
Q.62.
Q.63.
Q.64.
Q.65.
Q.66.
Q.67.
Q.68.
Q.69.
Q.70.
Q.71.
Q.72.
Q.73.
Q.74.
Q.75.
Q.76.
Q.77.
Q.78.
Q.79.
Q.80.
Q.81.
Q.82.
Q.83.
Q.84.
Q.85.
Q.86.
Q.87.
Q.88.
2
5 (8)
3
5 (995)
4 (0)
2
2
4
1
4
3
4
3
2
3
2
1
2
2
1
1
1
2
4
2
1
4
2
3
4
4
1
3
1
3
1
3
3
2
4
1
3
4
3
5 (1)
1
Q.89.
Q.90.
Q.91.
Q.92.
Q.93.
Q.94.
Q.95.
Q.96.
Q.97.
Q.98.
Q.99.
Q.100.
Q.101.
Q.102.
Q.103.
Q.104.
Q.105.
Q.106.
Q.107.
Q.108.
Q.109.
Q.110.
Q.111.
Q.112.
Q.113.
Q.114.
Q.115.
Q.116.
Q.117.
Q.118.
Q.119.
Q.120.
Q.121.
Q.122.
Q.123.
Q.124.
Q.125.
Q.126.
Q.127.
Q.128.
Q.129.
2
2
2
5 (4)
2
4
1
1
1
2
3
2
2
4
2
1
2
1
4
3
2
1
4
2
1
3
1
2
1
1
4
2
4
4
4
3
4
2
3
1
2
Level 3 Q.130. 1
Q.131. 4
Q.132. 4
Q.133.
Q.134.
Q.135.
Q.136.
Q.137.
Q.138.
Q.139.
Q.140.
Q.141.
Q.142.
Q.143.
Q.144.
Q.145.
Q.146.
Q.147.
Q.148.
Q.149.
Q.150.
Q.151.
Q.152.
Q.153.
Q.154.
Q.155.
Q.156.
Q.157.
Q.158.
Q.159.
Q.160.
Q.161.
Q.162.
Q.163.
Q.164.
Q.165.
Q.166.
Q.167.
Q.168.
Q.169.
Q.170.
Q.171.
Q.172.
Q.173.
Q.174.
Q.175.
Q.176.
2
4
1
1
4
1
3
1
5
2
3
1
2
1
1
4
2
1
2
1
3
1
1
1
4
2
3
2
3
3
1
4
2
2
1
1
3
2
1
5
1
2
2
2
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NUMBER SYSTEM
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