Aptitude and Reasoning Questions

Q:

cos3A is equal to

A) cos3A - 3sin2cosA B) cos3A + 4sin2cosA
C) cos3A + 3sin2cosA D) cos3A - 4sin2cosA
 
Answer & Explanation Answer: C) cos3A + 3sin2cosA

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Filed Under: Simplification
Exam Prep: Bank Exams

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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:

Madhya Pradesh is related to Diamond in the same way as Karnataka is related to

A) Platinum B) Copper
C) Gold D) Silver
 
Answer & Explanation Answer: C) Gold

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Filed Under: Analogy

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Q:

If a boat goes upstream at a speed of 24 km/hr and comes back the same distance at 40 km/hr. What is the average speed (in km/hr) for the total journey.

A) 32 B) 30
C) 31 D) 33
 
Answer & Explanation Answer: B) 30

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

Tan 45° + Cosec 60° =

A) (1 + 2√2)/2 B) (√3 + 2)/√6
C) 5/√3 D) (3 + 2√3)/3
 
Answer & Explanation Answer: D) (3 + 2√3)/3

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Select the related letters from the given alternatives.

HIJ : OPQ :: STU : ?

A) BCD B) ZAB
C) XYZ D) CBA
 
Answer & Explanation Answer: B) ZAB

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Q:

In the following question, select the related number from the given alternatives.
562 : 30 : : 663 : ?

A) 44 B) 49
C) 54 D) 58
 
Answer & Explanation Answer: C) 54

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Filed Under: Analogy
Exam Prep: Bank Exams

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Q:

If xy = 22 and x2+ y2= 100, then what will be the value of (x + y)?

A) 12 B) 144
C) 72 D) 6
 
Answer & Explanation Answer: A) 12

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Filed Under: Simplification
Exam Prep: Bank Exams

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