Surds and Indices- Aptitude Questions and Answers

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If xm .yn = 7889, where x and y are prime numbers, the value of x + y is ?

A)
30

B)
60

C)
100

D)
120


Correct Answer :

30


Explanation :

xm.yn = 7889
xm.yn = 73 × 231
hence, x and y are 7 and 23
thus x + y = 30

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(16)9 / (16)4 * (16)3 = (16)?

A)
6.75

B)
8

C)
10

D)
12


Correct Answer :

8


Explanation :

(16)9 / (16)4 * (16)3
=>(16)9-4 * (16)3
=>(16)5 * (16)3
=>(16)5+3
=>(16)8

? = ∛103823

A)
49

B)
51

C)
45

D)
47


Correct Answer :

47


Explanation :

(n√a )n= a
(am)n = amn

? = ∛103823
? = ∛(47) 3
? = [(47)3]1/3
? = 473 x 1/3
? = 47

Which of the following is the greatest?

A)
333333

B)
333333

C)
333333

D)
333333


Correct Answer :

333333


Explanation :

333333 is the greatest number.

Determine a possible value of x from the equation 5x-2 X 23x/(x+1) = 4 ?

A)
1

B)
2

C)
0

D)
4


Correct Answer :

2


Explanation :

5x- 2 X 23x/(x + 1) = 4
5x- 2 X 23x/(x + 1) = 50 * 22
Equation the indicates of equal bases,
x - 2 = 0 and 3x/(x + 1) = 2
From both these questions
x = 2

If 0.42 * 100K = 42, then what is the value of K?

A)
4

B)
2

C)
1

D)
3


Correct Answer :

1


Explanation :

0.42 * 100K = 42
(42/100) * 100K = 42
100K = (42*100)/42
100K = 100
100K = 1001
K=1

What is the value of (443+547)2 + (443-547)2 / (443*443) + (547*547) ?

A)

0


B)

1


C)

2


D)

3



Correct Answer :

2


Explanation :

(443+547)2 + (443-547)2 / (443*443) + (547*547)
= (4432 + 5472 + 2*443*547) + (4432 + 5472 - 2*443*547) / (4432 + 5472)
= 2*(4432 + 5472 ) / (4432 + 5472)
= 2