Aptitude and Reasoning Questions

Q:

Ranjith can complete a task in 25 days while Anji can finish it in 20 days. They work together on the task for 5 days and then Ranjith leaves. In how many days will Anji finish the remaining work?

A) 15 days B) 10 days
C) 11 days D) 9 days
 
Answer & Explanation Answer: C) 11 days

Explanation:

Lcm of 25 and 20 is 100. So total work = 100 units
Ranjith can do 4 units per day while anju can do 5 units per day
They together complete 5 days of work i.e 9 x 5 = 45 units
The remaining 55 units of work is done by anju in 55/5 days (or) 11 days

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then
300 x 10 – 5 + 36 ÷ 57 = ?

A) 150 B) 171
C) 230 D) 234
 
Answer & Explanation Answer: B) 171

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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Q:

If x3  y3 = 81 and x – y = 3, then what is the value of x2 + y2?

A) 18 B) 21
C) 27 D) 36
 
Answer & Explanation Answer: B) 21

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Average of 11 numbers is 7. If every number is doubled, then what will be the new average of the numbers?

A) 3.5 B) 7
C) 10.5 D) 14
 
Answer & Explanation Answer: D) 14

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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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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Q:

The standard deviation of the set {10, 10, 10, 10, 10} is

A) 0 B) 1
C) 5 D) 10
 
Answer & Explanation Answer: A) 0

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

3rd January 2018 was a Wednesday. Which of the following years will also have 3rd January on a Wednesday?

A) 2020 B) 2024
C) 2022 D) 2023
 
Answer & Explanation Answer: B) 2024

Explanation:
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Filed Under: Calendar
Exam Prep: Bank Exams

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Q:

If a+b=5 and a­b=3, then the value of (a2+b2) is

A) 17 B) 18
C) 19 D) 20
 
Answer & Explanation Answer: A) 17

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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