What value should come in place of the questi | Quantitative Aptitude - Arithmetic Ability Questions & Answers

Q:

In the following question, select the related number from the given alternatives.

47 : 57 : : 93 : ?

A) 103	B) 122
C) 114	D) 98

Answer & Explanation Answer: A) 103

Explanation:

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0 800

Q:

In the diagram, M is the midpoint of YZ, angle XMZ = 32°, and angle XYZ = 16°. The measure of angle XZY is:

A) 68°	B) 84°
C) 78°	D) 74°

Answer & Explanation Answer: D) 74°

Explanation:

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3 2330

Q:

If tan a = √3 + 2, then the value of tan a - cot a is

A) 2	B) √3
C) 2√3	D) 4

Answer & Explanation Answer: C) 2√3

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0 780

Q:

Complete the number series by choosing the missing terms from the options. 32, 64, 256, 1536, ? ,122880,1474560

A) 122860	B) 12268
C) 12285	D) 12288

Answer & Explanation Answer: D) 12288

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0 778

Q:

In a computer game, a builder can build a wall in ten hours while a destroyer can demolish such a wall completely in fourteen hours. Both, the builder and the destroyer were initially set to work together on level ground. But after 7 hours the destroyer was taken out. What was the total time (in hrs) taken to build the wall ?

A) 17	B) 15
C) 24	D) 35

Answer & Explanation Answer: B) 15

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5 2063

Q:

Find the appropriate relation for quantity1 and quantity2 in the following question:

Quantity 1: In an examination, Ankita scored 35 marks less than Puneeta. Puneeta scored 65 more marks than Meenakshi. Rakhi scored 115 marks, which is 20 marks more than Meenakshi's. Simpy scored 108 marks less than the maximum marks of the test. What approximate percentage of marks did Simpy score in the examination, if she got 67 marks more than Ankita?

Quantity 2: The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

A) Quantity1 < Quantity2	B) Quantity1 ≤ Quantity2
C) Quantity1 ≥ Quantity2	D) Quantity1 > Quantity2

Answer & Explanation Answer: D) Quantity1 > Quantity2

Explanation:

Quantity1-
Rakhi’s marks= 115
Meenakshi’s marks= 115 - 20 = 95
Puneeta’s marks= 95 + 65= 160
Ankita’s marks=160 - 35= 125
Simpy’s marks= 125+ 67= 192
Total maximum marks= 192 + 108= 300
Required percentage marks of Simpy
= $\frac{192}{300} \times 100 = 64 %$
Quantity2-
Let length and breadth be 100.

After increase in length it become 160, then
reduction in breadth be ‘x’
Now, 160*x= 100*100
Hence, x = $\frac{10000}{160} = 62.5$

100-62.5=37.5%

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2 10975

Q:

Find the appropriate relation for quantity 1 and quantity 2 in the following question:

An artificial kund is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the kund at the same time during which the kund is filled by the third pipe alone. The second pipe fills the kund 5 hours faster than the first pipe and 4 hours slower than the third pipe.

Quantity 1: The time required by the first pipe?

Quantity 2: Time taken by all three pipes to fill the Kund simultaneously

A) Quantity 1 > Quantity 2	B) Quantity 1 ≥ Quantity 2
C) Quantity 1 < Quantity 2	D) Quantity 1 ≤ Quantity 2

Answer & Explanation Answer: A) Quantity 1 > Quantity 2

Explanation:

Quantity 1:
Let the first pipe alone takes x hours to fill the
tank.
⇒The second and third pipes will take (x-5) and
(x-9) hours respectively.
According to the given information:
∴ $\frac{1}{x - 9}$

⇒ (x-9)(2x-5) = x2 – 5x
⇒ 2x2 – 5x – 18x + 45 = x2 – 5x
⇒ x
2 -18x + 45 = 0
⇒ (x-15) (x-3) = 0
⇒ x = 15, 3

The first pipe can take 15 hours to fill the kund.
∵ 3 hours doesn’t satisfy the statement.
Quantity 2:
∴ Time taken by second pipe = x-5
⇒ Time taken by second pipe = 15-5 = 10hours
∴ Time taken by third pipe = x -9
⇒ Time taken by third pipe = 15- 9 = 6 hours
Now,

Net part filled in 1 hour = $\frac{1}{15} + \frac{1}{10} + \frac{1}{6}$
⇒ Net part filled in 1 hour = $\frac{4 + 6 + 10}{60}$
⇒Net part filled in 1 hour = $\frac{20}{60} = \frac{1}{3}$
∴The Kund will be full in 3/1 hours if all the pipes are opened simultaneously
Now, comparing
15 > 3
Thus, Quantity 1 > quantity 2

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2 10837

Q:

Find the appropriate relation for quantity 1 and quantity 2 in the following question:

Quantity I: the unit digit in (6817)754

Quantity II: the unit digit in (365×659×771)

A) Quantity I > Quantity II	B) Quantity I < Quantity II
C) Quantity I ≥ Quantity II	D) Quantity I ≤ Quantity II

Answer & Explanation Answer: A) Quantity I > Quantity II

Explanation:

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1 10401

A) 18.25	B) 19.98
C) 34.58	D) 65.25

What value should come in place of the question mark (?) in the following question?

$\frac{5^{2} x 14 + 1450}{18} = 1998 \div ?$

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What value should come in place of the question mark (?) in the following question? 52x14+145018=1998÷?

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What value should come in place of the question mark (?) in the following question?

$\frac{5^{2} x 14 + 1450}{18} = 1998 \div ?$