Surds and Indices - Quantitative Aptitude (MCQ) questions

1)   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 = 158
Then, (15)3.5 + x = (15)8
3.5 + x = 8
x = (8 – 3.5)
x = 4.5


2)   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 = 4
Therefore,
5(a – 2) = 5(4 – 2) = 52 = 25


3)   (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


4)   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!


5)   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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