6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Length of two trains are 150 m and 200 m respectively and the ratio (shorter: longer) of their speed is 2 : 5. If they cross each other in opposite direction in 15 second then in what time faster train will overtake the slower train.

A) 20 seconds	B) 25 seconds
C) 32 seconds	D) 35 seconds

Answer & Explanation Answer: D) 35 seconds

Explanation:

Let speed of slower train = 2x
⇒ speed of faster train = 5x
ATQ, (150 + 200)/(2x + 5x) = 15
x = 10/3
Time required=350/[50/3–20/3]= 35 seconds

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

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Q:

On a certain date, Pakistan has a success rate of 60% against India in all the ODIs played between the two countries. They lost the next 30 ODIs in a row to India and their success rate comes down to 30%. The total number of ODIs played between the two countries is

A) 50	B) 45
C) 60	D) 30

Answer & Explanation Answer: C) 60

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

2 2322

Q:

$2 \sec^{2} A$ is equal to

A) (1 - tanA)2 - (1 + tanA)2	B) √[(1 - tanA)2 + (1 + tanA)2 ]
C) √[(1 - tanA)2 - (1 + tanA)2]	D) (1 - tanA)2 + (1 + tanA)2

Answer & Explanation Answer: D) (1 - tanA)2 + (1 + tanA)2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A and B can complete a task in 1.5 days. However, A had to leave a few days before the task wascompleted and hence it took 2 days in all to complete the task. If A alone could complete the work in2.625 days, how many days before the work getting over did A leave?

A) 1.125	B) 0.625
C) 0.375	D) 0.875

Answer & Explanation Answer: D) 0.875

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

A and B have to type a book together containing 120 pages. A takes 9 hrs to type 36 pages and B takes 5 hrs to type 40 pages. A typed first 60 pages alone and the last 60 pages were typed by A and B together. How much time (in hours) will be taken to type the complete book?

A) 24	B) 20
C) 12	D) 15

Answer & Explanation Answer: B) 20

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If $(2$ ³)2= 4x then $3^{x}$ is equal to

A) 3	B) 6
C) 9	D) 27

Answer & Explanation Answer: D) 27

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If Tan θ = 9/40, then Sec θ = ?

A) 40/41	B) 9/41
C) 41/40	D) 41/9

Answer & Explanation Answer: C) 41/40

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the value of $\sin^{2} 25 ° + \sin^{2} 65 °$ ?

A) 0	B) 1
C) 2	D) 4

Quantitative Aptitude - Arithmetic Ability Questions

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