# Calculation & Estimation Techniques

21 Questions | Total Attempts: 408  Settings Create your own Quiz Dear Student, This Assessment consists of questions to test your understanding on - Calculation & Estimation Techniques You may attempt the same and clarify doubts in WP Group. / With your Faculty Member Regards, Team SHIVAM.

• 1.
Find the unit’s digit of 13 ^ 137 + 17 ^ 731 + 18 ^ 138 + 12 ^ 432
• A.

5

• B.

6

• C.

7

• D.

8

• 2.
Find the difference in the number of trailing zeros between 624! And 625!
• A.

2

• B.

3

• C.

4

• D.

5

• 3.
A is the product of 1st 100 multiples of 2 and B is the product of the 1st 10 multiples of 5. How many zeros will be in the end of A/B
• A.

10

• B.

11

• C.

12

• D.

13

• 4.
Find the last 2 digits of 47 ^ 89
• A.

66

• B.

67

• C.

68

• D.

69

• 5.
If there are 30 zeros at the end of n! , find n ?
• A.

89

• B.

99

• C.

100

• D.

N DOES NOT EXIST

• E.

NONE OF THE OPTIONS

• 6.
Find unit digit of the expression 123 ^123
• A.

3

• B.

7

• C.

1

• D.

None

• 7.
Find the highest power of 12 in 50!
• A.

4

• B.

8

• C.

22

• D.

None

• 8.
A four digit perfectly square number has its first two digits same and also the last two digits same. Find the number
• A.

8833

• B.

6655

• C.

7744

• D.

9922

• 9.
The number of trailing zeros in 6! X 8! X 10! Is
• A.

2

• B.

3

• C.

4

• D.

5

• 10.
How many zeros will be at the end of 124 !
• A.

26

• B.

27

• C.

28

• D.

29

• 11.
Find the unit’s digit of 2018 ^ 98
• A.

4

• B.

8

• C.

2

• D.

6

• 12.
If the number of trailing zeros of n ! is 35 then the value of n is
• A.

140

• B.

142

• C.

144

• D.

All the Three

• 13.
Find the last digit of the following : 1961  + 2961 + 3961 +……+ 9961
• A.

3

• B.

4

• C.

5

• D.

6

• 14.
Find the last two digit of the expression 6713
• A.

87

• B.

67

• C.

47

• D.

27

• 15.
Find the number of zeros in 6! 6!
• A.

120

• B.

720

• C.

6! X 6!

• D.

Cannot be determined

• 16.
Find the highest power of 12 in 100!
• A.

37

• B.

47

• C.

48

• D.

8

• 17.
Which of the following cannot be the number of zeros at the end of n!
• A.

28

• B.

29

• C.

31

• D.

32

• 18.
Find the last digit of the product of 24 x 36 x 38 x 52 x 63 x 57 x 94
• A.

2

• B.

4

• C.

6

• D.

8

• 19.
Given that 100! = 56P x Q , where Q is not a multiple of 7 find P
• A.

12

• B.

14

• C.

16

• D.

18

• 20.
N= (5 + 55 +555…..5555555555) If N is divided by 8 find the remainder
• A.

2

• B.

3

• C.

4

• D.

5

• 21.
Find the remainder (22225555 + 55552222) ÷ 7
• A.

0

• B.

1

• C.

3

• D.

7

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