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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Amit donated 20% of his income to a school and deposited 20% of the remainder in his bank. If he is having Rs 12800 now, then what is the income (in Rs) of Amit?

A) 18000 B) 20000
C) 24000 D) 32000
 
Answer & Explanation Answer: B) 20000

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

0.0245¯ written as a vulgar fraction in its simplest form = ?

A) 9/370 B) 27/1111
C) 27/1100 D) 9/37
 
Answer & Explanation Answer: C) 27/1100

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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

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Q:

Rs 3200 is divided among A, B and C in the ratio of 3 : 5 : 8 respectively. What is the difference (in Rs) between the share of B and C?

A) 400 B) 600
C) 800 D) 900
 
Answer & Explanation Answer: B) 600

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

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Q:

The interest earned on Rs. 1600 at the rate of 5% S>I per annum for 6 yrs would be:

A) 2080 B) 450
C) 496 D) 480
 
Answer & Explanation Answer: D) 480

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

The length of the radius of the circumference of a triangle having sides 9 cm, 12 cm and 15 cm is

A) 6 cm B) 7.5 cm
C) 4.5 cm D) 8 cm
 
Answer & Explanation Answer: B) 7.5 cm

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

If (1 + secA)/tanA = x, then x is

A) cot(A/2) B) tan(A/2)
C) cosec(A/2) D) sec(A/2)
 
Answer & Explanation Answer: A) cot(A/2)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Sum of cubes of first n even natural numbers.

Answer

Proof of Sum of cubes of first n even natural numbers ::


sum_of_cubes_of_first_n_even_natural_numbers1556603651.png image


 


Hence, in other words, the sum of the first n cubes is the square of the sum of the first n natural numbers.

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Subject: Simplification Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

A uniformly moving train of length 480 m takes 3 minutes to completely cross a platform. If the same train, with the same speed crosses a pole completely in 30 sec, then the length of the platform is -

A) 1 km B) 600 m
C) 4.8 km D) 1.2 km
 
Answer & Explanation Answer:

Explanation:

Let length of platform be ‘y’metres.

Then, at the platform,Distance travelled = y + (length of train) = (y + 480)m

Then, Speed of train = (y + 480)m / (3x60) sec = (y+480)/180 ...(1)

Also, at the pole,Distance travelled = length of train = 480m

Then, Speed of train = 480m / 30sec = 16 m/s ...(2)

Equating eq.(1) & eq.(2), we get,

(y+480)/180 = 16(y+480) = 16 x 180 = 2880

y = 2880 –480 = 2400m or 2.4 km long platform.

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

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