Number System problems
- 1. The last digit of the number obtained by multiplying the numbers 41 x 42 x 43 x 44 x 45 x 46 x 47 x 48 x 49 will be?
Options- A. 0
- B. 1
- C. 4
- D. 5 Discuss
Correct Answer: 0
Explanation:
Last digit will be multiplication of 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9.
It includes 5 & 2.
So, 5 x 2=10,
0 will be the last digit.
- 2. The sum of the digits of a two digit number is 10, when the number is reversed, the number increases by 72.Find the number.
Options- A. 64
- B. 82
- C. 19
- D. 37 Discuss
Correct Answer: 19
Explanation:
By checking options
91-19=72
Or
Let the number be xy
So 10x + y = 10 ..... (i)
When the number is reversed the new number is yx
So (10y + 10 ) - ( 10x +y ) = 72 ....(ii)
From Eqs. (i) & (ii)
x = 1 and y =9
?number = 19
- 3. Find the product of place value and face value of 5 in 65231
Options- A. 28000
- B. 25000
- C. 27000
- D. 26000 Discuss
Correct Answer: 25000
Explanation:
Place value of 5 in 65231 = 5 x 1000
= 5000
Face value = 5
required product = 5000 x 5 = 25000
- 4. The units digit in the product ( 784 x 618 x 917 x 463 ) is
Options- A. 2
- B. 3
- C. 4
- D. 5 Discuss
Correct Answer: 2
Explanation:
Units digit in the given product = Units digit of 4 x 8 x 7 x 3
= Units digit of 672
= 2
- 5. If 1x5x01 is divisible by 11, then the value of x is
Options- A. 6
- B. 4
- C. 8
- D. 9 Discuss
Correct Answer: 8
Explanation:
When a number is divisible by 11, then sum of numbers at even place - sum of numbers at odd place = 0 or divisible by 11.
( x + x + 1 ) - ( 1+ 5 + 0 ) = 11
? 2x - 5 = 11
? x = 8
- 6. The pair of numbers which are relatively prime to each other is
Options- A. (68, 85)
- B. (65, 91)
- C. (92, 85)
- D. (102, 153) Discuss
Correct Answer: (92, 85)
Explanation:
92 and 85 are coprime numbers because their HCF is 1.
- 7. When 121012 is divided by 12, the remainder is
Options- A. 0
- B. 2
- C. 3
- D. 4 Discuss
Correct Answer: 4
Explanation:
121012 = 12 x 10084 + 4
? remainder = 4
- 8. Find the sum of place and face values of 8 in 43836
Options- A. 88
- B. 808
- C. 880
- D. 888 Discuss
Correct Answer: 808
Explanation:
Place value of 8 = 800
Face value of 8 = 8
? required sum = 800 + 8
- 9. Find the face value of 7 in 942756
Options- A. 7
- B. 700
- C. 7000
- D. 70000 Discuss
Correct Answer: 7
Explanation:
Face value is the value of digit itself
? face value of 7 = 7
- 10. Find the dividend when divisor is 13, quotient is 30 and remainder is 12
Options- A. 402
- B. 436
- C. 455
- D. 543 Discuss
Correct Answer: 402
Explanation:
dividend = divisor x quotient + remainder
= ( 13 x 30) + 12
= 390 + 12
= 402
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