Number System-basiCS


1. Find the place value of 4 in 46127.
(a) 4 (b) 400
(c) 40000 (d) 4000
(e) None of the above
2. Find the place value of 7 in 837218.
(a) 7000 (b) 7
(c) 700 (d) 70000
(e) None of the above
3.What is the place value of 6 in 65489203? [SSCLDC2010]
(a) 6×10^5
(b) 6×10^4
(c) 6×10^7
(dj 6×10^a
(e) None of the above
4. Find the face value of 7 in 942756.
(a) 7 (b) 700
(c) 7000 (d) 70000
5. Find the face value of 6 in 652410.
[SSC LDC 2008]
(a) 6×10^5
(b) 6×10^4
(c) 6000 (d) 6
6. Find the sum of the face values of 9 and
6 in 907364. [Hotel Mgm, 2007]
(a) 15 (b) 20 (c) 9 (d) 18
7. Find the difference of the face values of
7 and 2 in 210978.
(a) 4 b) 3 (c) 6 r^ 5 (e) None of the above
8. Find the sum of place and face values of
8 in 43836. [Hotel Mgmt 2008]
(a) 88 (b) 808
(c) 880 (d) 888
(e) None of the above
9. Find the difference of place and face values of 4 in 324372.
(a) 3996 (b) 3998
(c) 3398 (dj 3396
(e) None of the above
10. Find the sum of place value of 6 and face value of 9 in 927653.
(a) 608 (b) 508
(c) 609 (d) 507
(e) None of the above
11. Find the difference of place value of 4 and face value of 3 in 3784105.
(a) 3997 (b) 1
(c) 1000 (d) 3845
(e) None of the above
12. When 121012 is divided hy 12, the remainder is [CTET 2012]
(a)0 (b)2 (c)3 (d)4
13. The sum of place values of 2 in 2424 is
[CTET 1012]
(a) 4 (b) 220
(c) 2002 (d) 2020
14. The pair of numbers which are relatively prime to each other is [CDS 2012]
(a) (68, 85) (b) (65, 91)
(c) (92, 85) (d) (102, 153)
15. Find the sum of 1st and 2nd prime numbers.
(a) 5 (b) 3 (c) 7 (d) 2 (e) None of the above
16. Find the product of 1st natural number and 1st prime number.
(a) 4 (b) 3 (c) 2 (d) 5 (e) None of the above
17. The product of 1st natural, 1st whole and the 1st prime numbers is equal to
(a) 5 (b) 0 (c) 9 (d) 7 (e) None of the above
18. The product of any number and the 1st whole number is equal to
(a) 0 (b) 2 (c) 1 (d) -1 (e) None of the above
19.A rational number is expressed as … where, p and q are integers and q * 0.


(e) None of the above
20.2/3 is a rational number whereas V2/V3 is [CLAT2013]
(a) also a rational number
(b) an irrational number
(c) not a number
(d) a natural periodic number
21. Which of the following is a prime number?
(a) 35 (b) 53 (c) 88 (d) 90 (e) None of the above
22. The number of all prime numbers less than 40 is …
(a) 15 (b) 18 (c) 17 (d) 12 (e) None of the above
23. Find the quotient when 445 is divided by 5.
(a) 78 (b) 48 (c) 79 (d) 89 (e) None of the above
24. Find the remainder when 54 is divided by 17.
(a) 5 (b) 3 (c) 2 (d) 7 (e) None of the above
25. Find the dividend when divisor is 13, quotient is 30 and remainder is 12.
(a) 402 (b) 543 (c) 436 (d) 455 (e) None of the above
26. What is the remainder in the expression
29—? 26
(a) 29 (b) 26 (c) 18 (d) 0
(e) None of the above
27. Find the dividend from the expression
41±. 19
(a) 783 (b) 800 (c) 893 (dj 387
(e) None of the above
28. When 1/7 of a number is subtracted from the number itself, it gives the same value as the sum of all the angles of a
triangle. What is the number? [Bank PO 2010]
(a) 224 (b) 210 (c) 140 (d) 350 (e) 187
29. What least number must be added to 1057 to get a number exactly divisible by 23?
(a) 1 (b) 3 (c) 2 (d) 4 (e) None of the above
30. In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, then find
the dividend. [General Insurance 2007]
(a) 5388 (b) 5343
(c) 5336 (d) 5391
(e) None of the above
31. The product of two consecutive odd numbers is 6723. What is the greater number? [Bank Clerks 2009]
(a) 89 (b) 85 (c) 91 (d) 83 (e) None of the above
32. The sum of the four consecutive even numbers is 284. What would be the smallest number? [Bank PO 2010]
(a) 72 (b) 74 (c) 68 (d) 66 (e) None of the above
33. The sum of the digits of a two-digit number is 14 and the difference between the two digits of the number is 2. What
is the product of the two digits of the two-digit number? [Bank Clerks 2009]
(a) 56
(b) 48
(c) 45
(d) Couldn’t be determined
(e) None of the above
34. What number should be added to 231228 to make it exactly divisible by 33?
[CDS 2012]
(a) 1 (b) 2 (c) 3 (d) 4

answer
1. (C) 4 is at the place of ten thousand. /. Required place value
= 4 x 10000 =40000
2. (a) 7 is at the thousand place. /. Required place value
= 7 X 1000 = 7000
3. (c) 6 is at the place of crore. .’. Required place value
= 6 x 10000000 =6 x 107
4. (a) Face value is the value of digit itself. .”. Required face value of 7 = 7
5. (d) Face value is the value of digit itself. /. Required face value = 6
6. (a) The face value is the value of digit itself. So, required sum = 9 + 6 = 15
7. (d) The face value is the value of digit itself. So, required difference = 7-2 = 5
8. (6) Place value of 8 = 800
and face value of 8 = 8 ∴ Required sum = 800 + 8 = 808
9. (a) Place value of 4 = 4000
and face value of 4 = 4 ∴ Required difference = 4000 – 4 = 3996
10. (c) Place value of 6 = 600
and face value of 9 = 9 ∴ Required sum = 600 + 9 = 609
11. (a) Place value of 4 = 4000
and face value of 3 = 3 .’. Required difference = 4000 – 3 = 3997
Hence, when 121012 is divided by 12, then remainder is 4.
13. (d) The sum of place values of 2 in
2424 = 2 X 1000 + 2X10 = 2000 + 20 = 2020
14. (c) 92 and 85 are coprime numbers because their HCF is 1.
15. (a) 1st prime number = 2 and 2nd prime number = 3
.’. Required sum = 2+3 = 5
16. (c) 1st natural number = 1 and 1 st prime number = 2
Required product = 1×2 = 2
17. (6) 1st natural number = 1,
1 st whole number = 0 and 1 st prime number = 2 ∴ Required product = 1x0x2 = 0
18. (a) 1st whole number = 0
Clearly, when any number is multiplied with 0 (the 1st whole number), then the result is 0.
19. (d) A proven fact.
21. (6) 53 has only two factors itself and 1. Hence, it is a prime number.
22. (d) Prime numbers less than 40 are
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
23. (d) Dividend = 445 and divisor = 5
25. (a) Given, Divisor (d) = 13, Quotient (Q) = 30
Remainder {R) = 12 and Dividend (D) = ?
We know that,
D=dxQ+R D = 13X30 + 12 = 390 + 12 = 402
26. (c) It is clear from the expression that remainder is 18.
27. (a) Given,
Quotient (Q) = 41, Divisor (d) = 19 Remainder (.R) = 4 and Dividend (D) = ? ∴ Dividend D = dxQ + £ = 19×41 + 4 =
779 + 4 = 783
28. (6) Let the number be x. According to the question
∴ Number to be added = (23 – 22) = 1

30.(C) Divisor = 5 X Remainder = 5 X 46 = 230 Also, 10 x Quotient = 230
Quotient = 23 We know that
Dividend = (Divisor X Quotient) + Remainder ∴ Dividend = (230 x 23) + 46
= 5290 + 46 = 5336
(d) Let two consecutive odd number be (x + 1) and (x + 3). According to the question,
(x + 1) (x + 3) = 6723 => x
2
+ 3x + x + 3 = 6723
=> x
z
+ 4x+3 = 6723

=> x2
+4x+3-6723 = 0 => x
z
+ 4x – 6720 = 0
=> x
2
+ 84x – 80x – 6720 = 0
32. (c)
33. (6) Let be the ten’s digit be x and unit’s digit be y. The two-digit number = lOx + y (where, x > y)
According to the question,
x + y = 14 …(i)
and x – y = 2 … (ii)
Solving Eqs. (i) and (ii), we get
x = 8 and y = 6 .’. Required product = 8 x 6 = 48
34. (c) Given, 33)231228(7006
231 228 198 30 Now, 33 – 30 = 3
.’. On adding 3 to 231228, it is completely divisible by 33.

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