The expression [( 2) 2] 2 gives

a integer and not a natural number

a rational number but not an integer.

a real number but not a rational number

83 + Mcqs in Surds and Indices in Aptitude Page 1 McqOptions

1.	If and are whole numbers such that = 121, the value of ( - 1) is:
A.	1
B.	10
C.	121
D.	1000
Answer» E.

Discussion

2.	If 3 = 27 and 3 = 243, then is equal to:
A.	0
B.	2
C.	4
D.	6
Answer» D. 6

Discussion

3.	(17) x (17) = 17
A.	2.29
B.	2.75
C.	4.25
D.	4.5
Answer» E.

Discussion

4.	Given that 10 = , 10 = and = , then the value of is close to:
A.	1.45
B.	1.88
C.	2.9
D.	3.7
Answer» D. 3.7

Discussion

5.	If 5 = 3125, then the value of 5 is:
A.	25
B.	125
C.	625
D.	1625
Answer» B. 125

Discussion

6.	The value of [(10) ÷ (10)]
A.	1000
B.	10000
C.	100000
D.	10
Answer» C. 100000

Discussion

7.	(25) x (5) ÷ (125) = 5
A.	8.5
B.	13
C.	16
D.	17.5
E.	None of these
Answer» C. 16

Discussion

8.	(0.04) = ?
A.	25
B.	125
C.	250
D.	625
Answer» C. 250

Discussion

9.	(256) x (256) = ?
A.	4
B.	16
C.	64
D.	256.25
Answer» B. 16

Discussion

10.	The value of [(10) ÷ (10)]
A.	1000
B.	10000
C.	100000
D.	10
Answer» C. 100000

Discussion

11.	(25) x (5) ÷ (125) = 5
A.	8.5
B.	13
C.	16
D.	17.5
E.	None of these
Answer» C. 16

Discussion

12.	(0.04) = ?
A.	25
B.	125
C.	250
D.	625
Answer» C. 250

Discussion

13.	(256) x (256) = ?
A.	4
B.	16
C.	64
D.	256.25
Answer» B. 16

Discussion

14.	Find the quotient when (a^-1 - 1) is divided by (a - 1).
A.	2/a
B.	2a
C.	a/2
D.	-1/a
Answer» E.

Discussion

15.	What is the value of a⁵ a⁷?
A.	a
B.	a
C.	a
D.	a
Answer» D. a

Discussion

16.	if a^x = b, b^y= c and xyz = 1, then what is the value of c^z ?
A.	a
B.	b
C.	ab
D.	a / b
Answer» B. b

Discussion

17.	If 16 x 8^{n + 2} = 2^m, then m is equal to
A.	n + 8
B.	2n + 10
C.	3n + 2
D.	3n + 10
Answer» E.

Discussion

18.	If x = 3 + 1/ 3 - 1 and y = 3 - 1/ 3 + 1, then x² + y² is equal to
A.	14
B.	13
C.	15
D.	10
Answer» B. 13

Discussion

19.	Find the value of m - n, if ( 9ⁿ x 3² x (3^-n/2)^-2 - (27)ⁿ ) / ( 3^3m x 2³ ) = 1/27 ?
A.	1
B.	-2
C.	-1
D.	2
Answer» B. -2

Discussion

20.	Evaluate ( 0.00032)^2/5
A.	1/625
B.	1/225
C.	1/125
D.	1/25
E.	None of the above
Answer» E. None of the above

Discussion

21.	81^2.5 x 9^4.5 3^4.8 = 9^?
A.	7.1
B.	9.4
C.	4.7
D.	4.5
E.	None of the above
Answer» B. 9.4

Discussion

22.	Simplify ( 6a^-2bc^-3/4ab^-3c² ) ( 5a^-3 b²c^-1/3ab^-2c³ )
A.	9/10ac
B.	9/10ac
C.	9/10ac
D.	9/10ac
E.	None of the above
Answer» C. 9/10ac

Discussion

23.	5 + x = 3, then the value of x is ?
A.	64
B.	125
C.	9
D.	27
Answer» B. 125

Discussion

24.	If ( 5 + 2 3 ) / ( 7 + 4 3 ) = a + b 3, then the value of a and b is ?
A.	a = 11, b = -6
B.	a = 6, b = 11
C.	a = -11, b = 6
D.	a = -11, b = -6
Answer» B. a = 6, b = 11

Discussion

25.	The expression [( 2)²]² gives
A.	a natural number
B.	a integer and not a natural number
C.	a rational number but not an integer.
D.	a real number but not a rational number
Answer» E.

Discussion

26.	If 2^{x - 1} + 2^{x + 1} = 2560, find the value of x.
A.	10
B.	12
C.	9
D.	8
E.	None of the above
Answer» B. 12

Discussion

27.	Find the value of (10)²⁰⁰ (10)¹⁹⁶ .
A.	10000
B.	1000
C.	100
D.	100000
E.	None of the above
Answer» B. 1000

Discussion

28.	If 2 ^{x - 1} + 2 ^{x + 1} = 320, then find the value of x ?
A.	6
B.	8
C.	7
D.	5
Answer» D. 5

Discussion

29.	Solve the below equation. 17^3.5 x 17^7.3 17^4.2 = 17^?
A.	8.4
B.	8
C.	6.6
D.	6.4
E.	None of the above
Answer» D. 6.4

Discussion

30.	If 289 = 17^x/5 , then x = ?
A.	16
B.	8
C.	10
D.	2/5
E.	None of these
Answer» D. 2/5

Discussion

31.	^L M is surd of order ........, where M is a rational number; L is a positive integer and ^L M is irrational.
A.	L
B.	M
C.	2
D.	4
Answer» B. M

Discussion

32.	If 2^p + 3^q = 17 and 2^{p + 2} - 3^{q + 1} = 5, then, find the value of p and q ?
A.	-2 , 3
B.	2, -3
C.	3, 2
D.	2, 3
Answer» D. 2, 3

Discussion

33.	If 10 + x = 4, then what is the value of x ?
A.	150
B.	216
C.	316
D.	450
Answer» C. 316

Discussion

34.	If {(2⁴)^1/2}^? = 256, find the value of '?'.
A.	1
B.	2
C.	4
D.	8
E.	None of the above
Answer» D. 8

Discussion

35.	If 3^x - 3^x-1 = 18, then x^x is equal to
A.	3
B.	8
C.	27
D.	216
Answer» D. 216

Discussion

36.	If a^{2x + 2} = 1,where a is a positive real number other than 1, then x = ?
A.	- 2
B.	- 1
C.	0
D.	1
Answer» C. 0

Discussion

37.	Value of ? in expression 7^8.9 (343)^1.7 x (49)^4.8 = 7^? is
A.	13.4
B.	12.8
C.	11.4
D.	9.6
E.	None of the above
Answer» B. 12.8

Discussion

38.	Solve the below equation and find the value of ?. (13)⁴ = ?
A.	520
B.	169
C.	28561
D.	14280
E.	None of the above
Answer» C. 28561

Discussion

39.	16^3/2 + 16 ^-3/2 = ?
A.	0
B.	4097/64
C.	1
D.	16/9097
Answer» C. 1

Discussion

40.	x⁶ x¹² x^{- 3} x⁹ is equivalent to :
A.	2x
B.	1
Answer» C.

Discussion

41.	If m = 7 - 4 3, then ( m + 1/ m) = ?
A.	8
B.	3
C.	4
D.	9
E.	None of the above
Answer» D. 9

Discussion

42.	If (1/5 )^3a = 0.008 Find the value of ( 0.25)^a
A.	20.5
B.	22.5
C.	0.25
D.	6.25
E.	None of the above
Answer» D. 6.25

Discussion

43.	If (p/q)^{n - 1} = (q/p)^{n - 3}, then the value of n is
A.	1/2
B.	7/2
C.	1
D.	2
Answer» E.

Discussion

44.	[(2a²)³]³ [(3a³)²]² [(6a⁶)²]² is equivalent to :
A.	36a
B.	32 a
C.	32 a
D.	34 a
Answer» C. 32 a

Discussion

45.	if a = 2 + 3, then what is the value of (a² + a^-2) ?
A.	12
B.	14
C.	16
D.	18
Answer» C. 16

Discussion

46.	? = 103823
A.	49
B.	51
C.	45
D.	47
E.	None of the above
Answer» E. None of the above

Discussion

47.

If a x - 1 = b x - 3 , then the value of x is:

b a

A.

B.

1

C.

2

D.

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Discussion

48.	(25)^7.5 x (5)^2.5 (125)^1.5 = 5^?
A.	8.5
B.	13
C.	16
D.	17.5
E.	None of these
Answer» C. 16

Discussion

49.	(0.04)^-1.5 = ?
A.	25
B.	125
C.	250
D.	625
Answer» C. 250

Discussion

50.	The value of [(10)¹⁵⁰ (10)¹⁴⁶]
A.	1000
B.	10000
C.	100000
D.	10
E.	<sup>6</sup>
Answer» C. 100000

Discussion

Explore topic-wise MCQs in Aptitude.

If and are whole numbers such that = 121, the value of ( - 1) is:

If 3 = 27 and 3 = 243, then is equal to:

(17) x (17) = 17

Given that 10 = , 10 = and = , then the value of is close to:

If 5 = 3125, then the value of 5 is:

The value of [(10) ÷ (10)]

(25) x (5) ÷ (125) = 5

(0.04) = ?

(256) x (256) = ?

The value of [(10) ÷ (10)]

(25) x (5) ÷ (125) = 5

(0.04) = ?

(256) x (256) = ?

Find the quotient when (a-1 - 1) is divided by (a - 1).

What is the value of a5 a7?

if ax = b, by= c and xyz = 1, then what is the value of cz ?

If 16 x 8n + 2 = 2m, then m is equal to

If x = 3 + 1/ 3 - 1 and y = 3 - 1/ 3 + 1, then x2 + y2 is equal to

Find the value of m - n, if ( 9n x 32 x (3-n/2)-2 - (27)n ) / ( 33m x 23 ) = 1/27 ?

Evaluate ( 0.00032)2/5

812.5 x 94.5 34.8 = 9?

Simplify ( 6a-2bc-3/4ab-3c2 ) ( 5a-3 b2c-1/3ab-2c3 )

5 + x = 3, then the value of x is ?

If ( 5 + 2 3 ) / ( 7 + 4 3 ) = a + b 3, then the value of a and b is ?

The expression [( 2) 2] 2 gives

If 2x - 1 + 2x + 1 = 2560, find the value of x.

Find the value of (10)200 (10)196 .

If 2 x - 1 + 2 x + 1 = 320, then find the value of x ?

Solve the below equation.173.5 x 177.3 174.2 = 17?

If 289 = 17x/5 , then x = ?

L M is surd of order ........, where M is a rational number; L is a positive integer and L M is irrational.

If 2p + 3q = 17 and 2p + 2 - 3q + 1 = 5, then, find the value of p and q ?

If 10 + x = 4, then what is the value of x ?

If {(24)1/2}? = 256, find the value of '?'.

If 3x - 3x-1 = 18, then xx is equal to

If a2x + 2 = 1,where a is a positive real number other than 1, then x = ?

Value of ? in expression 78.9 (343)1.7 x (49)4.8 = 7? is

Solve the below equation and find the value of ?. (13)4 = ?

163/2 + 16 -3/2 = ?

x6 x12 x- 3 x9 is equivalent to :

If m = 7 - 4 3, then ( m + 1/ m) = ?

If (1/5 )3a = 0.008 Find the value of ( 0.25)a

If (p/q)n - 1 = (q/p)n - 3, then the value of n is

[(2a2)3]3 [(3a3)2]2 [(6a6)2]2 is equivalent to :

if a = 2 + 3, then what is the value of (a2 + a -2) ?

? = 103823

If a x - 1 = b x - 3 , then the value of x is: b a

(25)7.5 x (5)2.5 (125)1.5 = 5?

(0.04)-1.5 = ?

The value of [(10)150 (10)146]

Find the quotient when (a^-1 - 1) is divided by (a - 1).

What is the value of a⁵ a⁷?

if a^x = b, b^y= c and xyz = 1, then what is the value of c^z ?

If 16 x 8^{n + 2} = 2^m, then m is equal to

If x = 3 + 1/ 3 - 1 and y = 3 - 1/ 3 + 1, then x² + y² is equal to

Find the value of m - n, if ( 9ⁿ x 3² x (3^-n/2)^-2 - (27)ⁿ ) / ( 3^3m x 2³ ) = 1/27 ?

Evaluate ( 0.00032)^2/5

81^2.5 x 9^4.5 3^4.8 = 9^?

Simplify ( 6a^-2bc^-3/4ab^-3c² ) ( 5a^-3 b²c^-1/3ab^-2c³ )

The expression [( 2)²]² gives

If 2^{x - 1} + 2^{x + 1} = 2560, find the value of x.

Find the value of (10)²⁰⁰ (10)¹⁹⁶ .

If 2 ^{x - 1} + 2 ^{x + 1} = 320, then find the value of x ?

Solve the below equation.
17^3.5 x 17^7.3 17^4.2 = 17^?

If 289 = 17^x/5 , then x = ?

^L M is surd of order ........, where M is a rational number; L is a positive integer and ^L M is irrational.

If 2^p + 3^q = 17 and 2^{p + 2} - 3^{q + 1} = 5, then, find the value of p and q ?

If {(2⁴)^1/2}^? = 256, find the value of '?'.

If 3^x - 3^x-1 = 18, then x^x is equal to

If a^{2x + 2} = 1,where a is a positive real number other than 1, then x = ?

Value of ? in expression
7^8.9 (343)^1.7 x (49)^4.8 = 7^? is

Solve the below equation and find the value of ?.

(13)⁴ = ?

16^3/2 + 16 ^-3/2 = ?

x⁶ x¹² x^{- 3} x⁹ is equivalent to :

If (1/5 )^3a = 0.008 Find the value of ( 0.25)^a

If (p/q)^{n - 1} = (q/p)^{n - 3}, then the value of n is

[(2a²)³]³ [(3a³)²]² [(6a⁶)²]² is equivalent to :

if a = 2 + 3, then what is the value of (a² + a^-2) ?

If a x - 1 = b x - 3 , then the value of x is:

b a

(25)^7.5 x (5)^2.5 (125)^1.5 = 5^?

(0.04)^-1.5 = ?

The value of [(10)¹⁵⁰ (10)¹⁴⁶]