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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Consider the following two triangles as shown in the figure below.


Choose the correct statement for the above situation.

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 37646
Q:

4 men can repair a road in 7 hours. How many men are required to repair the road in 2 hours ?

A) 17 men B) 14 men
C) 13 men D) 16 men
 
Answer & Explanation Answer: B) 14 men

Explanation:

M x T / W = Constant
where, M= Men (no. of men)
T= Time taken
W= Work load
So, here we apply
M1 x T1/ W1 = M2 x T2 / W2
Given that, M1 = 4 men, T1 = 7 hours ; T2 = 2 hours, we have to find M2 =?
Note that here, W1 = W2 = 1 road, ie. equal work load.
Clearly, substituting in the above equation we get, M2 = 14 men.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

40 37614
Q:

If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3  is equal to : 

A) 22 B) 23
C) 24 D) 25
 
Answer & Explanation Answer: A) 22

Explanation:

3 * 5 + 5 * 3 = (2 * 3 - 3 * 5 + 3 * 5) + ( 2 * 5 - 3 * 3 + 5 * 3)

                    = (6 + 10 - 9 + 15) = 22.

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Filed Under: Simplification

87 37603
Q:

Find the unit digit of the expression

312+322+332+342+352+362+372+382+392

A) 1 B) 4
C) 5 D) 9
 
Answer & Explanation Answer: C) 5

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

2 37465
Q:

Consider the following for real numbers α, β, γ and δ ?

1) sec α = 1/4

2) tan β = 20

3) cosec γ = 1/2

4) cos δ = 2

How many of the above statements are not possible?

 

A) one  B) two
C) three D) four
 
Answer & Explanation Answer: C) three

Explanation:
Sec of any number can never be less than 1
tan can take any value from -∞ to + ∞
cosec of any number can never be less than 1
cos of any number can never be greater than 1
so option 1,3,4 are not possible
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Filed Under: Simplification
Exam Prep: Bank Exams

1 37399
Q:

To fill a tank, 25 buckets of water is required.  How many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two-fifth of its present ?

A) 52.5 B) 62.5
C) 72.5 D) 82.5
 
Answer & Explanation Answer: B) 62.5

Explanation:

Let the capacity of 1 bucket = x.

 

 

 

Then, capacity of tank = 25x.

 

 

 

New capacity of bucket  = (2/5)x

 

 

 

Required no of buckets = 25x/(2x/5)  = 62.5

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Filed Under: Simplification

48 37386
Q:

Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is

A) 42 B) 36
C) 28 D) 20
 
Answer & Explanation Answer: B) 36

Explanation:

Distance covered = 120+120 = 240 m

Time = 12 s

Let the speed of each train = v. Then relative speed = v + v = 2v

2v = distance/time = 240/12 = 20 m/s

Speed of each train = v = 20/2 = 10 m/s

= 10 × 36/10 km/hr = 36 km/hr

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Filed Under: Problems on Trains

78 37348
Q:

 Find the Odd One Out?

3, 4, 14, 48, 576, 27648

A) 4 B) 14
C) 48 D) 27648
 
Answer & Explanation Answer: B) 14

Explanation:

Given Number series is :

 

3   4   14   48   576   27648

 

It follows a pattern that,

 

3

 

4

 

4 x 3 = 12   but not 14

 

12 x 4 = 48

 

48 x 12 = 576

 

576 x 48 = 27648

 

 

 

Hence, the odd one in the given Number Series is 14.

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

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