29 + Mcqs in Surds And Indices in Arithmetic Ability Page 1 McqOptions

1.	(17)3.5 x (17)? = 178
A.	4.5
B.	5.5
C.	3.5
D.	3.9
Answer» B. 5.5

Discussion

2.	(25)7.5 x (5)2.5 ÷ (125)1.5 = 5?
A.	8.5
B.	13
C.	16
D.	17.5
Answer» C. 16

Discussion

3.	(0.04)-1.5 = ?
A.	25
B.	125
C.	250
D.	625
Answer» C. 250

Discussion

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

Discussion

5.	Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
A.	1.45
B.	1.88
C.	2.9
D.	3.7
Answer» D. 3.7

Discussion

6.	if 5a = 3125, then the value of 5(a - 3) is:
A.	25
B.	125
C.	625
D.	1625
Answer» B. 125

Discussion

7.	The value of [(10)150 ÷ (10)146]
A.	1000
B.	10000
C.	100000
D.	10000000
Answer» C. 100000

Discussion

8.	If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
A.	0
B.	2
C.	4
D.	6
Answer» D. 6

Discussion

9.	If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to
A.	4
B.	3
C.	5
D.	6
Answer» B. 3

Discussion

10.	(256)0.16 x (256)0.09 = ?
A.	4
B.	16
C.	64
D.	256.25
Answer» B. 16

Discussion

11.	\eqalign{ & {\text{If}}\,x = 3 + 2\sqrt 2 ,\,{\text{then}} \cr & {\text{the}}\,{\text{value}}\,{\text{of}}\,\left( {\sqrt x - \frac{1}{{\sqrt x }}} \right)\,{\text{is:}} \cr} $$%!
A.	1
B.	2
C.	2‚Äö√ √∂2
D.	3‚Äö√ √∂3
Answer» C. 2‚Äö√ √∂2

Discussion

12.	*$_If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:?
A.	0
B.	2
C.	4
D.	6
Answer» D. 6

Discussion

13.	If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:?
A.	0
B.	2
C.	4
D.	6
Answer» D. 6

Discussion

14.	/_$$\eqalign{ & {\text{If}}\,x = 3 + 2\sqrt 2 ,\,{\text{then}} \cr & {\text{the}}\,{\text{value}}\,{\text{of}}\,\left( {\sqrt x - \frac{1}{{\sqrt x }}} \right)\,{\text{is:}} \cr} $$?
A.	1
B.	2
C.	2‚Äö√ √∂2
D.	3‚Äö√ √∂3
Answer» C. 2‚Äö√ √∂2

Discussion

15.	%_If 5a = 3125, then the value of 5(a - 3) is:_%
A.	25
B.	125
C.	625
D.	1625
Answer» B. 125

Discussion

16.	_ $${\left( {\frac{{{x^b}}}{{{x^c}}}} \right)^{\left( {b + c - a} \right)}}.{\left( {\frac{{{x^c}}}{{{x^a}}}} \right)^{\left( {c + a - b} \right)}}.{\left( {\frac{{{x^a}}}{{{x^b}}}} \right)^{\left( {a + b - c} \right)}} = ?$$$?
A.	xabc
B.	1
C.	xab + bc + ca
D.	xa + b + c
Answer» C. xab + bc + ca

Discussion

17.	__Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:__
A.	1.45
B.	1.88
C.	2.9
D.	3.7
Answer» D. 3.7

Discussion

18.	_If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:$?
A.	1
B.	10
C.	121
D.	1000
Answer» E.

Discussion

19.	\frac{1}{{1 + {a^{\left( {n - m} \right)}}}} + \frac{1}{{1 + {a^{\left( {m - n} \right)}}}} = ?$$$?
A.	0
B.	1/2
C.	1
D.	am + n
Answer» D. am + n

Discussion

20.	\eqalign{ & {\text{If}}\,{\left( {\frac{a}{b}} \right)^{x - 1}} = {\left( {\frac{b}{a}} \right)^{x - 3}}, \cr & {\text{then}}\,{\text{the}}\,{\text{value}}\,{\text{of}}\,x\,{\text{is}} \cr} $$$?
A.	1/2
B.	1
C.	2
D.	7/2
Answer» D. 7/2

Discussion

21.	\eqalign{ & {\text{If}}\,{\left( {\frac{a}{b}} \right)^{x - 1}} = {\left( {\frac{b}{a}} \right)^{x - 3}}, \cr & {\text{then}}\,{\text{the}}\,{\text{value}}\,{\text{of}}\,x\,{\text{is}} \cr} $$?
A.	1/2
B.	1
C.	2
D.	7/2
Answer» D. 7/2

Discussion

22.	\frac{1}{{1 + {a^{\left( {n - m} \right)}}}} + \frac{1}{{1 + {a^{\left( {m - n} \right)}}}} = ?$$?
A.	0
B.	1/2
C.	1
D.	am + n
Answer» D. am + n

Discussion

23.	(17)3.5 x (17)? = 178
A.	2.29
B.	2.75
C.	4.25
D.	4.5
Answer» E.

Discussion

24.	\frac{{{{\left( {243} \right)}^{n/5}} \times {3^{2n + 1}}}}{{{9^n} \times {3^{n - 1}}}} = ?$$
A.	1
B.	2
C.	9
D.	3n
Answer» D. 3n

Discussion

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

Discussion

26.	(25)7.5 x (5)2.5 ‚àö‚àë (125)1.5 = 5?$
A.	8.5
B.	13
C.	16
D.	17.5
E.	None of these
Answer» C. 16

Discussion

27.	\eqalign{ & \frac{1}{{1 + {x^{\left( {b - a} \right)}} + {x^{\left( {c - a} \right)}}}} + \cr & \frac{1}{{1 + {x^{\left( {a - b} \right)}} + {x^{\left( {c - b} \right)}}}} + \cr & \frac{1}{{1 + {x^{\left( {b - c} \right)}} + {x^{\left( {a - c} \right)}}}} = ? \cr} $$
A.	0
B.	1
C.	xa - b - c
D.	None of these
E.	None of these
Answer» C. xa - b - c

Discussion

28.	The value of [(10)150 ‚àö‚àë (10)146]$
A.	1000
B.	10000
C.	100000
D.	106
E.	None of these
Answer» C. 100000

Discussion

29.	(256)0.16 x (256)0.09 = ?
A.	4
B.	16
C.	64
D.	256.25
E.	None of these
Answer» B. 16

Discussion

Explore topic-wise MCQs in Arithmetic Ability.

(17)3.5 x (17)? = 178

(25)7.5 x (5)2.5 ÷ (125)1.5 = 5?

(0.04)-1.5 = ?

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

Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:

if 5a = 3125, then the value of 5(a - 3) is:

The value of [(10)150 ÷ (10)146]

If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:

If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to

(256)0.16 x (256)0.09 = ?

\eqalign{ & {\text{If}}\,x = 3 + 2\sqrt 2 ,\,{\text{then}} \cr & {\text{the}}\,{\text{value}}\,{\text{of}}\,\left( {\sqrt x - \frac{1}{{\sqrt x }}} \right)\,{\text{is:}} \cr} $$%!

*$_If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:?

If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:?

*/*_$$\eqalign{ & {\text{If}}\,x = 3 + 2\sqrt 2 ,\,{\text{then}} \cr & {\text{the}}\,{\text{value}}\,{\text{of}}\,\left( {\sqrt x - \frac{1}{{\sqrt x }}} \right)\,{\text{is:}} \cr} $$?

%_If 5a = 3125, then the value of 5(a - 3) is:_%

_ $${\left( {\frac{{{x^b}}}{{{x^c}}}} \right)^{\left( {b + c - a} \right)}}.{\left( {\frac{{{x^c}}}{{{x^a}}}} \right)^{\left( {c + a - b} \right)}}.{\left( {\frac{{{x^a}}}{{{x^b}}}} \right)^{\left( {a + b - c} \right)}} = ?$$$?

__Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:__

_If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:$?

\frac{1}{{1 + {a^{\left( {n - m} \right)}}}} + \frac{1}{{1 + {a^{\left( {m - n} \right)}}}} = ?$$$?

\eqalign{ & {\text{If}}\,{\left( {\frac{a}{b}} \right)^{x - 1}} = {\left( {\frac{b}{a}} \right)^{x - 3}}, \cr & {\text{then}}\,{\text{the}}\,{\text{value}}\,{\text{of}}\,x\,{\text{is}} \cr} $$$?

\eqalign{ & {\text{If}}\,{\left( {\frac{a}{b}} \right)^{x - 1}} = {\left( {\frac{b}{a}} \right)^{x - 3}}, \cr & {\text{then}}\,{\text{the}}\,{\text{value}}\,{\text{of}}\,x\,{\text{is}} \cr} $$?

\frac{1}{{1 + {a^{\left( {n - m} \right)}}}} + \frac{1}{{1 + {a^{\left( {m - n} \right)}}}} = ?$$?

(17)3.5 x (17)? = 178

\frac{{{{\left( {243} \right)}^{n/5}} \times {3^{2n + 1}}}}{{{9^n} \times {3^{n - 1}}}} = ?$$

(0.04)-1.5 = ?

(25)7.5 x (5)2.5 ‚àö‚àë (125)1.5 = 5?$

\eqalign{ & \frac{1}{{1 + {x^{\left( {b - a} \right)}} + {x^{\left( {c - a} \right)}}}} + \cr & \frac{1}{{1 + {x^{\left( {a - b} \right)}} + {x^{\left( {c - b} \right)}}}} + \cr & \frac{1}{{1 + {x^{\left( {b - c} \right)}} + {x^{\left( {a - c} \right)}}}} = ? \cr} $$

The value of [(10)150 ‚àö‚àë (10)146]$

(256)0.16 x (256)0.09 = ?

/_$$\eqalign{ & {\text{If}}\,x = 3 + 2\sqrt 2 ,\,{\text{then}} \cr & {\text{the}}\,{\text{value}}\,{\text{of}}\,\left( {\sqrt x - \frac{1}{{\sqrt x }}} \right)\,{\text{is:}} \cr} $$?

Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to: