Surds and Indices – Aptitude Questions and Answers | Online Surds and Indices MCQ Aptitude Test Quiz Name Surds and Indices Category Online Aptitude Test Number of Questions 15 Time 30 Minutes Exam Type MCQ (Multiple Choice Questions) 1. (17.5) x (17.5) = 178 a. 2.29 b. 2.75 c. 4.25 d. 4.5 Answer: D Explanation: Let…
5. If 3(x – y) = 27 and 3(x + y) = 243, then the value of x is:
a. 0
b. 2
c. 4
d. 6
Answer: C
Explanation:
3x – y = 27 = 33 x – y = 3 x – y = 3 x – y = 3 x – y = 3 x – (i),3x + y = 243 = 35 x + y = 5 x + y = 5 (ii),We get x = 4 after solving I and (ii).
6. What is the product of (256)0.16 and (256)0.09?
a. 4
b. 16
c. 64
d. 256.5
Answer: A
Explanation:
(256)0.16 multiplied by (256)0.09 equals (256)(0.16 + 0.09)= 0.25 (256)= (256)(25/100)= (1/4)(256)= (1/4)(44)= 4 to the fourth power= 4.
7. [(10)150 (10)146] is the value.
a. 1000
b. 10000
c. 100000
d. 10 to the power 6
Answer: B
Explanation:
(10 to the power 150/10 to the power 146 = 10to the power,150/10 to the power 146,150 – 146 = 10
8. What is the sum of 1 + 1 + 1?
1 + x(b – a) + x(b – a) + x(b – a) + x( (c – a)
1 + x(a – b) + x(a – b) + x(a – b) + x( (c – b)
1 + x(b – c) + x(a – b) + x(a – b) + x( (a – c)
a. 0
b. 1
c. xa – b – c
d. None of these
9. (125)1.5 x (25)7.5 = 5?
a. 8.5
b. 13
c. 16
d. 17.5
Answer: B
Explanation:
Let (25)7.5 x (5)2.5 (125)1.5 = 5x be the answer.As a result, (52)7.5 x (5)2.5/(53)1.5 = 5x.5x = 5(2 x 7.5) x 52.5/5(3 x 1.5),5x = 515 x 52.5/54.5,5(15 + 2.5 – 4.5) = 5x,513 = 5x,x equals 13.
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