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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?

A) 10 a.m B) 10.30 a.m
C) 11 a.m D) 11.30 a.m
 
Answer & Explanation Answer: C) 11 a.m

Explanation:

Suppose they meet x hrs after 8 a.m

then,

[Distance moved by first in x hrs] + [Distance moved by second in (x-1) hrs] = 330.

Therefore, 60x + 75(x-1) = 330.

 => x=3.

So,they meet at (8+3) i.e, 11a.m.

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Filed Under: Time and Distance

50 17250
Q:

If you deposit $6500 into an account paying 8% annual interest compounded monthly, how
much money will be in the account after 7 years?

A) 11358.24 B) 12334
C) 15789 D) 12386
 
Answer & Explanation Answer: A) 11358.24

Explanation:

FV=P(1+r/n)^nt

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

19 17224
Q:

Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions  ?

A) 10 sec B) 11 sec
C) 12 sec D) 8 sec
 
Answer & Explanation Answer: A) 10 sec

Explanation:

Relative Speed = 60 -40 = 20 x 5/18 = 100/18

Time = 50

Distance = 50 x 100/18 = 2500/9

Relative Speed = 60 + 40 = 100 x 5/18

Time = 2500/9 x 18/500 = 10 sec.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

13 17210
Q:

The cube root of .000216 is:

A) .6 B) .06
C) 77 D) 87
 
Answer & Explanation Answer: B) .06

Explanation:

.00021613=21610613=6*6*6102*102*10213=6102=0.06

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Filed Under: Square Roots and Cube Roots

72 17202
Q:

If two complimentary angles are in the ratio of 4 : 5, find the greater angle.

 

A) 40 deg B) 50 deg
C) 60 deg D) 30 deg
 
Answer & Explanation Answer: B) 50 deg

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

1 17193
Q:

If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?

A) 108 sq.cm B) 112 sq.cm
C) 116 sq.cm D) 120 sq.cm
 
Answer & Explanation Answer: D) 120 sq.cm

Explanation:

The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.

Area of the triangle =1/2 x base x height => 1/2 x 24 x 10 = 120 sq.cm

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

19 17135
Q:

How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

A) 5600 B) 6000
C) 6400 D) 7200
 
Answer & Explanation Answer: C) 6400

Explanation:

Number of bricks = volume of the wall/volume of one brick 

= (800 x 600 x 22.5)/(25 x 11.25 x 6 )= 6400

 

 

 

 

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Filed Under: Volume and Surface Area

20 17130
Q:

The total of 324 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is :

A) 50 B) 100
C) 150 D) 200
 
Answer & Explanation Answer: D) 200

Explanation:

Let the number  of 20 paise coins be x. Then the no of 25 paise coins = (324 - x).

0.20 * (x) + 0.25 (324 - x) = 71 => x = 200..

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Filed Under: Simplification

19 17091