1249 + Mcqs in Simplification McqOptions

1.	\((\frac{1}{5} + \frac{3}{4}) - (\frac{1}{5} - \frac{3}{4}) = ?\)
A.	\(\frac{3}{4}\)
B.	\(\frac{2}{5}\)
C.	\(\frac{9}{4}\)
D.	\(\frac{3}{2}\)
Answer» E.

Discussion

2.	Find which fractions in the correct ascending order?A. 3/7, 15/41, 19/35, 7/11B. 15/41, 3/7, 19/35, 7/11C. 3/7, 15/41, 7/11, 19/35D. 19/35, 7/11, 15/41, 3/7
A.	C
B.	A
C.	D
D.	B
Answer» E.

Discussion

3.	If x = ya, y = zb and z = xc, then the value of abc is
A.	1
B.	2
C.	-1
D.	0
Answer» B. 2

Discussion

4.	Find out the approximate value which should replace the question mark (?) in the following question.√2300 + (8.015)2 = ? ÷ 0.0625
A.	10
B.	9
C.	8
D.	6
E.	7
Answer» F.

Discussion

5.	If x1/4 + x-1/4 = 2, then what is the value of x81 + (1/ x81)?
A.	–2
B.	0
C.	1
D.	2
Answer» E.

Discussion

6.	Compute: (50 + 0.5 × 20) ÷ 0.7A. 8.571B. 857.1C. 85.71D. 72.85
A.	D
B.	C
C.	B
D.	A
Answer» C. B

Discussion

7.	Compute: 4992 ÷ 624 - 10
A.	\(\frac{2469}{307}\)
B.	-2
C.	2
D.	\(\frac{2496}{307}\)
Answer» C. 2

Discussion

8.	If \(3\frac{1}{2} + 4\frac{1}{4} + 6\frac{1}{6}+x = 60 / 2\), then what will be the value of x?
A.	143/12
B.	163/12
C.	193/12
D.	166/12
Answer» D. 166/12

Discussion

9.	Find the value of x.\(\frac{2}{5}\left( x \right) + \frac{3}{{10}}\left( x \right) - \frac{3}{5}\left( x \right) = 531\)
A.	5210
B.	5410
C.	5310
D.	5510
Answer» D. 5510

Discussion

10.	If a+ b + c = 0, then the value of \(\frac{1}{{{b^2} + {c^2} - {a^2}}} + \frac{1}{{{c^2} + {a^2} - {b^2}}} + \frac{1}{{{a^2} + {b^2} - {c^2}}}\) is
A.	3
B.	0
C.	1
D.	None of the above
Answer» C. 1

Discussion

11.	8589 - X = 4434
A.	4155
B.	2321
C.	3155
D.	None of above
Answer» B. 2321

Discussion

12.	If ax = by = cz and b2 = ac, then y is equals to
A.	\(\frac{xz}{2(x-z)}\)
B.	\(\frac{xz}{x+z}\)
C.	\(\frac{xz}{2(z-x)}\)
D.	\(\frac{2xz}{x+z}\)
Answer» E.

Discussion

13.	A train leaves Delhi on 29th August 2019 at 16 : 30 hours and reaches its destination on 31st August at 08 : 45 hours. The total travel time of the journey is
A.	36 hours 15 minutes
B.	38 hours 45 minutes
C.	39 hours 45 minutes
D.	40 hours 15 minutes
Answer» E.

Discussion

14.	If \(x + \frac{1}{{1 + \;\frac{1}{{2 + \;\frac{1}{3}}}}} = 2,\) then what is x equal to?
A.	7/10
B.	13/10
C.	11/10
D.	17/10
Answer» C. 11/10

Discussion

15.	A fraction whose denominator is 30 and placed between \(\dfrac{5}{8} \rm{and} \dfrac{7}{11}\) is
A.	20/30
B.	18/30
C.	21/30
D.	19/30
Answer» E.

Discussion

16.	If 'k' means '+' 'm' means '-', 'n' means '×', and 'p' means '÷' then 15 n 2 k 5 m 6 p 4 =
A.	16
B.	6
C.	67/2
D.	none of these
Answer» D. none of these

Discussion

17.	Amongst the following fractions, the largest and second-largest fractions, respectively are \(\dfrac{5}{6}, \dfrac{3}{4}, \dfrac{1}{2}, \dfrac{2}{3}, \dfrac{3}{5}\)
A.	\(\dfrac{5}{6} \ \rm and \ \dfrac{3}{5}\)
B.	\(\dfrac{3}{5} \ \rm and \ \dfrac{2}{3}\)
C.	\(\dfrac{3}{4} \ \rm and \ \dfrac{1}{2}\)
D.	\(\dfrac{5}{6} \ \rm and \ \dfrac{3}{4}\)
Answer» E.

Discussion

18.	a, b and c are three fraction such that a < b < c. If c divided by a, the result is 9/2, which exceeds b by 23/6. The sum of a, b and c is 19/12. What is the value of (2a + b – c)?
A.	1/12
B.	1/4
C.	1/2
D.	1/3
Answer» C. 1/2

Discussion

19.	Evaluate: (0.00032)3/5
A.	\(\frac{2}{5}\)
B.	\(\frac{1}{3}\)
C.	\(\frac{1}{5}\)
D.	\(\frac{1}{125}\)
Answer» E.

Discussion

20.	\(\dfrac{160}{32} \ of \ 18.2 \div \dfrac{15}{80.1} \ of \ 160.2 \ equal:\)
A.	3.03
B.	2.13
C.	4.23
D.	1.93
Answer» B. 2.13

Discussion

21.	If 3√2 + √18 + √50 = 15.55, then what is the value of √32 + √72?
A.	13.22
B.	10.83
C.	14.13
D.	16.54
Answer» D. 16.54

Discussion

22.	Compute: 4237.43 + 453.32 + 24.12 - 387.23A. 4327.64B. 4646.64C. 4676.64D. 4587.64
A.	C
B.	D
C.	B
D.	A
Answer» E.

Discussion

23.	Find n so that \({\left( {\frac{3}{5}} \right)^4} \times {\left( {\frac{3}{5}} \right)^3} = {\left( {\frac{3}{5}} \right)^{2n - 1}}\)
A.	3
B.	4
C.	5
D.	6
Answer» C. 5

Discussion

24.	\(\frac{2}{3} + \frac{4}{5} \) is _______.
A.	\(\frac{6}{8}\)
B.	\(1\frac{6}{15}\)
C.	\(1\frac{7}{15}\)
D.	\(\frac{8}{15}\)
Answer» D. \(\frac{8}{15}\)

Discussion

25.	An executive earns a salary of Rs. 12,600 every month, and he spends 5/7 of it. If his salary increases by 1/3rd and his spending increases by 1/5th of the present expenditure, what fraction of his salary will he save?
A.	7/16
B.	8/15
C.	7/15
D.	5/14
Answer» E.

Discussion

26.	20% of X = 400. Find the value of X ?
A.	2000
B.	2100
C.	1800
D.	1900
Answer» B. 2100

Discussion

27.	Find the value of x. \(\sqrt {121} \div 11 + \sqrt {144 = 1 \times x} \)
A.	16
B.	14
C.	13
D.	15
Answer» D. 15

Discussion

28.	If x - √x = 20; Find the value of √x.A. 5B. 6C. 8D. 7
A.	D
B.	B
C.	C
D.	A
Answer» E.

Discussion

29.	(72)2 = 51X4 Find the value of x.
A.	9
B.	2
C.	7
D.	8
Answer» E.

Discussion

30.	\(\frac{{0.16\; \times \;1.65}}{{0.075\; \times \;{{0.02}^2}\;}} = \;?\)
A.	7500
B.	8800
C.	8400
D.	8000
Answer» C. 8400

Discussion

31.	A student was asked to find the value of \(\left[ {\frac{4}{9} \div \left( {\frac{3}{5} \div \frac{3}{2}} \right) \times \frac{9}{{25}}} \right] \times \frac{{\left[ {\frac{2}{3}\;of\;\frac{4}{9}\; \div \;\left( {3\; \times \;\frac{3}{5}\;of\;\frac{4}{5}} \right)} \right]}}{{\frac{2}{3}\; \div \;\frac{3}{4}\;of\;\frac{5}{6}}}\). His answer was 2/9. What is the difference between his answer and the correct answer?
A.	1/24
B.	1/4
C.	47/324
D.	1/6
Answer» D. 1/6

Discussion

32.	31% of 400 is
A.	124
B.	134
C.	144
D.	154
Answer» B. 134

Discussion

33.	(153 ÷ 53)2
A.	81
B.	243
C.	729
D.	102 × 30
Answer» D. 102 × 30

Discussion

34.	If decreasing 70 by x% yields the same result as increasing 60 by x%, then x% of 91 is:
A.	7
B.	6
C.	8
D.	5
Answer» B. 6

Discussion

35.	Evaluate the following expression:36 – 2(20 + 12 ÷ 4 × 3 – 2 × 2) + 12 = ?
A.	-4
B.	2
C.	-2
D.	4
Answer» D. 4

Discussion

36.	If \(2 = x + \frac 1 {1 + \frac 1 {5 + \frac 1 2}},\) then the value of x is equal to:
A.	1
B.	\(\frac {13}{15}\)
C.	\(\frac {15}{13}\)
D.	\(\frac {14}{13}\)
Answer» D. \(\frac {14}{13}\)

Discussion

37.	If 20% of A = 35% of B, then A : B =
A.	5 : 7
B.	2 : 3
C.	7 : 4
D.	1 : 2
Answer» D. 1 : 2

Discussion

38.	If N = (√8 + √6)/(√8 - √6), then what is the value of N - (1/N)?
A.	8√3
B.	14
C.	7
D.	0
Answer» B. 14

Discussion

39.	Evaluate the following expression.(64 × 7) + (8 ÷ 2) – 6 × 8
A.	451
B.	404
C.	67
D.	208
Answer» C. 67

Discussion

40.	If \(2a + \frac{1}{{a\;}} = 4\), then find the value of \({a^2} + \frac{1}{{4{a^2}}} \) is:
A.	5
B.	3
C.	12
D.	4
Answer» C. 12

Discussion

41.	100% is equivalent to?
A.	0
B.	10
C.	1
D.	100
Answer» D. 100

Discussion

42.	If 2508 ÷ 12.54 + (X × 11) = 200, then find the value of 'X'.
A.	2.5
B.	3.5
C.	4
D.	0
Answer» E.

Discussion

43.	Compute 35968 ÷ 562 ÷ 8 = ?A. 80B. 512C. 8D. 521
A.	B
B.	C
C.	D
D.	A
Answer» C. D

Discussion

44.	A student multiplied a number by 4 / 5 instead of 5 / 4. What is the percentage error in the calculation?
A.	16
B.	25
C.	36
D.	20
Answer» D. 20

Discussion

45.	(1024 - 263 - 233) ÷ (986 - 764 - 156) is equal to,
A.	9
B.	6
C.	7
D.	8
Answer» E.

Discussion

46.	Determine the value of 'a' so that (2/5)2 × (2/5)a+5 = (2/5)15
A.	6
B.	8
C.	10
D.	13
Answer» C. 10

Discussion

47.	Find the value of \(\sqrt {5\sqrt {5\sqrt {5\sqrt 5 } } }\)
A.	51/16
B.	516/32
C.	515/16
D.	51/32
Answer» D. 51/32

Discussion

48.	Compute:150% of 60
A.	\(\dfrac{1}{9}\)
B.	900
C.	0.009
D.	90
Answer» E.

Discussion

49.	A batsman scored 150 runs in a one-day cricket match. He hit 20 fours and 5 sixes. Calculate the percentage of runs he scored by running between the wickets.
A.	25%
B.	73.33%
C.	50.66%
D.	26.67%
Answer» E.

Discussion

50.	0.41 × 0.2 = ?
A.	82
B.	8.2
C.	0.82
D.	0.082
Answer» E.

Discussion

Explore topic-wise MCQs in Testing Subject.

\((\frac{1}{5} + \frac{3}{4}) - (\frac{1}{5} - \frac{3}{4}) = ?\)

Find which fractions in the correct ascending order?A. 3/7, 15/41, 19/35, 7/11B. 15/41, 3/7, 19/35, 7/11C. 3/7, 15/41, 7/11, 19/35D. 19/35, 7/11, 15/41, 3/7

If x = ya, y = zb and z = xc, then the value of abc is

Find out the approximate value which should replace the question mark (?) in the following question.√2300 + (8.015)2 = ? ÷ 0.0625

If x1/4 + x-1/4 = 2, then what is the value of x81 + (1/ x81)?

Compute: (50 + 0.5 × 20) ÷ 0.7A. 8.571B. 857.1C. 85.71D. 72.85

Compute: 4992 ÷ 624 - 10

If \(3\frac{1}{2} + 4\frac{1}{4} + 6\frac{1}{6}+x = 60 / 2\), then what will be the value of x?

Find the value of x.\(\frac{2}{5}\left( x \right) + \frac{3}{{10}}\left( x \right) - \frac{3}{5}\left( x \right) = 531\)

If a+ b + c = 0, then the value of \(\frac{1}{{{b^2} + {c^2} - {a^2}}} + \frac{1}{{{c^2} + {a^2} - {b^2}}} + \frac{1}{{{a^2} + {b^2} - {c^2}}}\) is

8589 - X = 4434

If ax = by = cz and b2 = ac, then y is equals to

A train leaves Delhi on 29th August 2019 at 16 : 30 hours and reaches its destination on 31st August at 08 : 45 hours. The total travel time of the journey is

If \(x + \frac{1}{{1 + \;\frac{1}{{2 + \;\frac{1}{3}}}}} = 2,\) then what is x equal to?

A fraction whose denominator is 30 and placed between \(\dfrac{5}{8} \rm{and} \dfrac{7}{11}\) is

If 'k' means '+' 'm' means '-', 'n' means '×', and 'p' means '÷' then 15 n 2 k 5 m 6 p 4 =

Amongst the following fractions, the largest and second-largest fractions, respectively are \(\dfrac{5}{6}, \dfrac{3}{4}, \dfrac{1}{2}, \dfrac{2}{3}, \dfrac{3}{5}\)

a, b and c are three fraction such that a < b < c. If c divided by a, the result is 9/2, which exceeds b by 23/6. The sum of a, b and c is 19/12. What is the value of (2a + b – c)?

Evaluate: (0.00032)3/5

\(\dfrac{160}{32} \ of \ 18.2 \div \dfrac{15}{80.1} \ of \ 160.2 \ equal:\)

If 3√2 + √18 + √50 = 15.55, then what is the value of √32 + √72?

Compute: 4237.43 + 453.32 + 24.12 - 387.23A. 4327.64B. 4646.64C. 4676.64D. 4587.64

Find n so that \({\left( {\frac{3}{5}} \right)^4} \times {\left( {\frac{3}{5}} \right)^3} = {\left( {\frac{3}{5}} \right)^{2n - 1}}\)

\(\frac{2}{3} + \frac{4}{5} \) is _______.

An executive earns a salary of Rs. 12,600 every month, and he spends 5/7 of it. If his salary increases by 1/3rd and his spending increases by 1/5th of the present expenditure, what fraction of his salary will he save?

20% of X = 400. Find the value of X ?

Find the value of x. \(\sqrt {121} \div 11 + \sqrt {144 = 1 \times x} \)

If x - √x = 20; Find the value of √x.A. 5B. 6C. 8D. 7

(72)2 = 51X4 Find the value of x.

\(\frac{{0.16\; \times \;1.65}}{{0.075\; \times \;{{0.02}^2}\;}} = \;?\)

31% of 400 is

(153 ÷ 53)2

If decreasing 70 by x% yields the same result as increasing 60 by x%, then x% of 91 is:

Evaluate the following expression:36 – 2(20 + 12 ÷ 4 × 3 – 2 × 2) + 12 = ?

If \(2 = x + \frac 1 {1 + \frac 1 {5 + \frac 1 2}},\) then the value of x is equal to:

If 20% of A = 35% of B, then A : B =

If N = (√8 + √6)/(√8 - √6), then what is the value of N - (1/N)?

Evaluate the following expression.(64 × 7) + (8 ÷ 2) – 6 × 8

If \(2a + \frac{1}{{a\;}} = 4\), then find the value of \({a^2} + \frac{1}{{4{a^2}}} \) is:

100% is equivalent to?

If 2508 ÷ 12.54 + (X × 11) = 200, then find the value of 'X'.

Compute 35968 ÷ 562 ÷ 8 = ?A. 80B. 512C. 8D. 521

A student multiplied a number by 4 / 5 instead of 5 / 4. What is the percentage error in the calculation?

(1024 - 263 - 233) ÷ (986 - 764 - 156) is equal to,

Determine the value of 'a' so that (2/5)2 × (2/5)a+5 = (2/5)15

Find the value of \(\sqrt {5\sqrt {5\sqrt {5\sqrt 5 } } }\)

Compute:150% of 60

A batsman scored 150 runs in a one-day cricket match. He hit 20 fours and 5 sixes. Calculate the percentage of runs he scored by running between the wickets.

0.41 × 0.2 = ?