SSC Cgl 2018 Quant Quiz-59

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Q.1) n! has 23 zeroes. What is the maximum possible value of n?
a) 99
b) 100
c) 98
d) Can’t be determined

Q.2)  n! has 13 zeroes. The highest and least values of n are?
a) 59 & 55
b) 64 & 60
c) 49 & 45
d) 69 & 65

Q.3) Find the number of zeroes in the product 1^1∗2^2∗3^3∗4^4∗5^5∗…….∗〖49〗^49?
a) 240
b) 250
c) 260
d) 270

Q.4) Q.4) Find the number of zeroes in: 1^1!+2^2!+3^3!+4^4!+…〖10〗^10!
a) 5! + 10!
b) 6! + 9!
c) 4! + 8!
d) None of these

Q.5)  Find the number of zeroes in the value of:
2^2∗5^4∗4^6∗〖10〗^8∗6^10∗〖15〗^12∗8^14∗〖20〗^16∗〖10〗^18∗〖25〗^20
a) 98
b) 97
c) 96
d) 95

Q.6) Find the highest power of 7 which divides 81!
a) 12
b) 13
c) 11
d) 10

Q.7) Find the highest power of 42 which divides 122!
a) 19
b) 20
c) 21
d) 18

Q.8) Find the highest power of 84 which divides 342!
a) 54
b) 55
c) 52
d) 50

Q.9) Find the highest power of 175 which divides 344!
a) 41
b) 82
c) 57
d) None of these

Q.10) Find the highest power of 360 which divides 520!
a) 128
b) 172
c) 130
d) None of these

Q.11) Find the maximum value of n such that 157! is perfectly divisible by 10n.
(a) 37
(b) 38
(c) 16
(d) 1.15

Q.12) Find the maximum value of n such that 157! is perfectly divisible by 〖12〗^n.
(a) 77
(b) 76
(c) 75
(d) 78

Q.13) Find the maximum value of n such that 157! is perfectly divisible by 〖18〗^n.
(a) 37
(b) 38
(c) 39
(d) 40

Q.14) Find the maximum value of n such that 50! is perfectly divisible by 〖2520〗^n
(a) 6
(b) 8
(c) 7
(d) None of these

Q.15) Find the maximum value of n such that 50! is perfectly divisible by 〖12600〗^n.
(a) 7
(b) 6
(c) 8
(d) None of these

Q.16) Find the maximum value of n such that 77! is perfectly divisible by 〖720〗^n.
(a) 35
(b) 18
(c) 17
(d) 36

Q.17) Find the maximum value of n such that
42 × 57 × 92 × 91 × 52 × 62 × 63 × 64 × 65 × 66 × 67 is perfectly divisible by            〖42〗^n.
(a) 4
(b) 3
(c) 5
(d) 6

Q.18) Find the maximum value of n such that
570 × 60 × 30 × 90 × 100 × 500 × 700 × 343 × 720 × 81 is perfectly divisible by 30n.
(a) 12
(b) 11
(c) 14
(d) 13

Q.19) Find the maximum value of n such that
77 × 42 × 37 × 57 × 30 × 90 × 70 × 2400 × 2402 × 243 × 343 is perfectly divisible by 〖21〗^n.
(a) 9
(b) 11
(c) 10
(d) 6

Q.20) Find the number of consecutive zeroes at the end of the following numbers.72!
(a) 17
(b) 9
(c) 8
(d) 16