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The last digit of the following expreesi...

The last digit of the following expreesion is :
`(1!)^1 + (2!)^(2) + (3!)^(3) + (4!)^(4) + …(10!)^(10)`

A

3

B

4

C

7

D

8

Text Solution

Verified by Experts

The correct Answer is:
c
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-NUMBER SYSTEM -MULTIPLE CHOICE QUESTIONS
  1. Find the unit digit of expression (232)^(123!) × (353)^(124!) × (424)^...

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  2. Find the units digit in the expansion of (44)^44+(55)^55+(88)^88.

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  3. The last digit of the following expreesion is : (1!)^1 + (2!)^(2) + ...

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  4. Find the unit digit in the expression :(1!)^(1!) + (2!)^(2!) + (3!)^(3...

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  5. Find the unit digit in the expression : (3^57*6^41*7^63)

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  6. Find the units digit in the expansion of (44)^44+(55)^55+(88)^88.

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  7. If 100! divisible by 3^n then find the maximum value of n.

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  8. If 122! is divisible by 6^n then find the maximum value of n.

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  9. If 123! is divisible by 12^(n) then find the maximum value of n.

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  10. If 133! is divisible by 7^(n) then find the maximum value of n.

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  11. If 187! is divisible by 15^(n) then find the maximum value of n.

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  12. Find no of zeros in 100 !

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  13. Find the no. of zeros in expression : 1 × 2 × 3 × 4 .......... × 500

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  14. Find the no. of zeros in expression : (1 xx 3 xx 5 …….. 99) xx 100

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  15. Find the no. of zeros in expression : 1 × 3 × 5 × 7 .......... × 99

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  16. Find the no. of zeros in the product of (5 xx 10 xx 25 xx 40 xx 50 xx ...

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  17. Find the no. of zeros in expression : (1 xx 3 xx 5 …….. 99) xx 100

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  18. Find the no. of zeros in expression : 10 xx 20 xx 30 xx ……xx 1000.

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  19. Find the no. of zeros in experssion : 1^(2) xx 2^(2) xx 3^(3) xx 4^(...

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  20. The number of zeros at the end of ( 3^(123) -3^(122) - 3^(121) ) (2^(...

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