Number System Questions and Answers - Multiplication Short-cut Methods

This set of Aptitude Questions and Answers (MCQs) focuses on “Multiplication Short-cut Methods”.

1. Find the value of 689524*9999.
a) 6894550476
b) 6894540476
c) 6895550476
d) 6884550476
View Answer

Answer: a
Explanation: 689524*9999 = 689524*(10000-1)
= 6895240000 – 689524 = 6894550476.

2. Find the value of 98765*3125.
a) 308680625
b) 308640625
c) 309640625
d) 308860625
View Answer

Answer: b
Explanation: 3125 = 5⁵, put 5 zeroes at end of multiplicand and divide by 2⁵.
\(\frac{9876500000}{2^5}\)=308640625.

3. Find the product of 968427 and 3493.
a) 3382715511
b) 3382715523
c) 3382756879
d) 3382778965
View Answer

Answer: a
Explanation: The unit digit of the product is 7*3=1.
The only option with unit digit 1 is 3382715511. Hence, it is the answer.

4. Find the value of 5358*54.
a) 289332
b) 289322
c) 298332
d) 283932
View Answer

Answer: a
Explanation: 5358*54 = 5358 * (50+4) = 267900 + 21432 = 289322.

5. What is the value of 2689*2689?
a) 7230721
b) 7230821
c) 7320721
d) 7230729
View Answer

Answer: a
Explanation: 2689² = (2700-11)² = 2700² + 11² – 2*2700*11 = 7230721.

6. Find the value of 499*499 – 498*498.
a) 977
b) 996
c) 987
d) 997
View Answer

Answer: d
Explanation: 499*499 – 498*498 = 499² – 498² = (499+498) (499-498) = 997*1 = 997.

7. What is the value of 245*245?
a) 62425
b) 62525
c) 60025
d) 65025
View Answer

Answer: c
Explanation: To find squares of all numbers ending with 5 is (left * (left+1)) | 25.
245*245 = 245² = (24*(24+1)) | 25 = 600 | 25 = 60025.

8. Find the value of 124 * 5³.
a) 15000
b) 16550
c) 14500
d) 15500
View Answer

Answer: d
Explanation: Put 3 zeroes at end of multiplicand and divide by 2².
\(\frac{124000}{2^3}\)=15500.

9. Find the value of 8*88*888.
a) 625152
b) 615152
c) 645152
d) 645154
View Answer

Answer: a
Explanation: 8*88*888 = 8*(8*11)*(8*111) = 512*1221
= 1221*500 + 1221*10 + 1221*2 = 625152.

10. What should replace X in the expression 5X4*6 = 3024?
a) 0
b) 5
c) 9
d) 4
View Answer

Answer: a
Explanation: By multiplying digit in 100^th place, 5*6=30 and comparing with 3024, there is no carry from the previous tens place.
By multiplying digit in units place, 4*6 = 24, 2 is carried forward and comparing with 3024, the value of X should be 0.

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