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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

What is the percentage decrease in the area of a triangle if its each side is halved?

A) 75% B) 50%
C) 25% D) No change
 
Answer & Explanation Answer: A) 75%

Explanation:
Area of triangle of = ½*a*b* sinθ = A
Where a and b are sides of the triangle and θ be the angle between them
After decreasing each side
New area = ½*(a/2)*(b/2)*sinθ = ¼ A
%decrease = [(A–¼ A)/A ]*100 = 75%
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

If 5A = 13B = 7C; find the value of A : B : C.

A) 91:35:65 B) 65:35:91
C) 35:91:65 D) 7:13:5
 
Answer & Explanation Answer: A) 91:35:65

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

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Q:

If a boat goes upstream at a speed of 18 km/hr and comes back the same distance at 30 km/hr. What is the average speed (in km/hr) for the total journey?

A) 22.5 B) 24
C) 20.5 D) 25
 
Answer & Explanation Answer: A) 22.5

Explanation:
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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

Priya got 9 marks more in History than what she got in Geography. Her history marks are 56% of the sum of her History and Geography marks. What are her Geography marks?

A) 42 B) 65
C) 53 D) 33
 
Answer & Explanation Answer: D) 33

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Rs 6300 is divided among A, B and C in the ratio of 1/2 : 1 : 3/5. What is the share (in Rs) of B?

A) 3300 B) 2700
C) 3000 D) 4200
 
Answer & Explanation Answer: C) 3000

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams , CAT

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Q:

Select the time that would depict the correct mirror image of 9:30 on a clock.

A) 2:30 B) 6:30
C) 7:30 D) 4:30
 
Answer & Explanation Answer: A) 2:30

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Filed Under: Clocks
Exam Prep: Bank Exams

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Q:

Two cars, a Maruthi and a Toyato, start at the same time in opposite directions from two distinct points A and B. Starting from A, the Maruthi reaches B in 6 hrs 20 minutes and the Toyato starting from B, reaches A in 4 hrs 45 minutes. What is the speed of the Toyato, if the speed of the Maruthi is 60 Km/h?

A) 75 kmph B) 80 kmph
C) 86 kmph D) 90 kmph
 
Answer & Explanation Answer: B) 80 kmph

Explanation:

Let the distance between A and B = D

Given the speed of maruthi = 60 kmph

Maruthi reaches from A to B in 6 hrs 20 min = 6 + 20/60 = 6 1/3 hrs

Now, the distance between A & B = D = speed x time = 60 x 19/3 = 380 kms

As the distance is same for toyato also,

given time for toyato = 4 hrs 45 min = 4 + 45/60 = 4 3/4 = 19/4 hrs

speed of toyato = distance/time = 380/19/4 = 380 x 4/19 = 80 kmph.

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

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Q:

A sum of Rs 3170 is divided among X, Y and Z such that if Rs 13, Rs 12 and Rs 18 will be diminished from the shares of X, Y and Z respectively, then their shares will be in the ratio 20 : 18 : 21. What is the initial share (in Rs) of Z?

A) 1131 B) 1530
C) 910 D) 1350
 
Answer & Explanation Answer: A) 1131

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Filed Under: Partnership
Exam Prep: Bank Exams

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