6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h	B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h	D) 5 km/h and 2 km/h

Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

7 1865

Q:

If √ $(1 + \cot^{2} A) / cotA = x$ , then the value of x is

A) sinA	B) cosecA
C) secA	D) cosA

Answer & Explanation Answer: C) secA

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1865

Q:

2cos[(C+D)/2]sin[(C-D)/2] is equal to

A) sinC + sinD	B) sinC - sinD
C) cosC - cosD	D) cosC + cosD

Answer & Explanation Answer: B) sinC - sinD

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1864

Q:

The area of a rhombus having one side 10 cm and one diagonal 12 cm is

A) 48 cm2	B) 96 cm2
C) 144 cm2	D) 192 cm2

Answer & Explanation Answer: B) 96 cm2

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 1864

Q:

Diameter of a car wheel is 21 cm. A car driver moving at the speed of 66 km/hr takes 36 seconds to reach a destination. How many revolutions will the wheel make during the journey?

A) 1800	B) 1500
C) 1200	D) 1000

Answer & Explanation Answer: D) 1000

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams

7 1864

Q:

What is the simplified value of $[(\sec^{3} x - \tan^{3} x) / (\sec x - \tan x)] - 2 \tan^{2} x - \sec x \tan x ?$

A) 0	B) 2
C) -1	D) 1

Answer & Explanation Answer: D) 1

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

0 1864

Q:

The radius of a sphere and hemisphere are same. The ratio of their total surface area is

A) 3:1	B) 2:1
C) 3:2	D) 4:3

Answer & Explanation Answer: D) 4:3

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , Bank Exams , AIEEE

0 1864

Q:

U and V started a business by investing amounts Rs 184000 and Rs 224000 respectively. If U’s share in the profit received at the end of year is Rs 20700, then what will be the total profit (in Rs) earned by them together?

A) 43200	B) 45900
C) 52300	D) 56400

Quantitative Aptitude - Arithmetic Ability Questions

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