# Surds and Indices - Quantitative Aptitude (MCQ) questions

1)   What is value of M in (p/q)2M+2 = (q/p)9-M
- Published on 13 Apr 17

a. 6
b. 5
c. -7/2
d. -11
 Answer  Explanation ANSWER: -11 Explanation:

2)   What is value of 22(-2)
- Published on 12 Apr 17

a. -16
b. -42
c. 42
d. 1/16
 Answer  Explanation ANSWER: 42 Explanation:

3)   What is value of 2(-2)2
- Published on 12 Apr 17

a. 1/16
b. 1/8
c. 32
d. 16
 Answer  Explanation ANSWER: 16 Explanation:

4)   There are four expressions given below separated by ‘=’ sign. Which one of the 4 expressions is not the same as the other three?
62 x 6 = (61)3 = 23+33 = 83 - 142 - 102

- Published on 11 Apr 17

a. (61)3
b. 83 - 142 - 102
c. 23+33
d. All are same
 Answer  Explanation ANSWER: 23+33 Explanation:

5)   Find the value of X.
(15)3.5 * (15)x = 158

- Published on 05 May 16

a. 2.29
b. 2.75
c. 4.25
d. 4.5
 Answer  Explanation ANSWER: 4.5 Explanation: Let (15)3.5 * (15)x = 158Then, (15)3.5 + x = (15)83.5 + x = 8x = (8 – 3.5)x = 4.5

6)   If 5a = 625, then the value of 5(a – 2) is:
- Published on 07 Apr 16

a. 5
b. 25
c. 125
d. 625
 Answer  Explanation ANSWER: 25 Explanation: 5a = 625 5a = 54 a = 4Therefore,5(a – 2) = 5(4 – 2) = 52 = 25

7)   (1000)6/1015 = ?
- Published on 22 Mar 16

a. 10
b. 100
c. 1000
d. 10000
 Answer  Explanation ANSWER: 1000 Explanation: (1000)6/1015 = (1000)6 / 1015 = (103)6/1015= 10(3*6)/1015 = 1018/1015 = (10)(18 – 15) = 103 = 1000

8)   40 feet rope is cut into 2. One piece is 18 feet longer than the other. What is the length of the shorter piece?
- Published on 12 Jun 15

a. 11
b. 12
c. 18
d. 22
 Answer  Explanation ANSWER: 11 Explanation: No explanation is available for this question!

9)   Akash and Akshay are business partners. Akash invests Rs 35,000 for a period of 8 months and Akshay invests Rs 42,000 for a period of 10 months. Out of a total profit of Rs 31,570 what is Akash’s share?
- Published on 12 Jun 15

a. Rs 12,420
b. Rs 18,040
c. Rs 18,942
d. Rs 12,628
 Answer  Explanation ANSWER: Rs 12,628 Explanation: For a given business profit is directly dependent upon the capital invested and the time of investment.=> Ratio of shares of Akash and Akshay becomes: (35,000*8)/(42,000*10) = 2/3=>% of profit belonging to Akash: 2/(3+2)*(31,570)=>Rs 12,768

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