Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 2y cosθ = x sinθ and 2x secθ - y cosecθ = 3 then what is the value of x2+4y2

A) 4 B) 1
C) 2 D) 5
 
Answer & Explanation Answer: A) 4

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Q:

Pipes A, B, and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hours, respectively, the third can drain the cistern, when filled, in 6 hours. If all the three pipes are opened simultaneously when the cistern is three-fifth full, how many hours will be needed to fill the cistern?

A) 36/11 B) 48/11
C) 60/11 D) 24/11
 
Answer & Explanation Answer: D) 24/11

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

A tap can fill a tank in 50 minutes. If the tank has a leakage which alone is capable of emptying the tank in 2.5 hours, the tank will now be filled in

A) 1 hour B) 1 hour 15 minutes
C) 1 hour 25 minutes D) 1 hour 30 minutes
 
Answer & Explanation Answer: B) 1 hour 15 minutes

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

Find the odd numbers/letters/numbers from the given alternatives.

A) 1, 0.75, 0.5, 1.25 B) 4, 3, 2, 5
C) 1, 4, 2, 8 D) 2, 1.5, 1, 2.5
 
Answer & Explanation Answer: C) 1, 4, 2, 8

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

What is the value of sec 30° + cot 30°?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Δ XYZ is right angled at Y. If m∠Z = 60°, then what is the value of (1/√2) Sec X?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In ΔABC measure of angle B is 900. If cotA = 8/15, and AB = 0.8cm, then what is the length (in cm) of side BC?

 

A) 1.7 B)  2
C)  1.5 D)  2.5
 
Answer & Explanation Answer: C)  1.5

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

A box of 20 items was bought for Rs. 6,400 after a discount of 20%. Find the cost of each item.

A) Rs. 300 B) Rs. 350
C) Rs. 400 D) Rs. 450
 
Answer & Explanation Answer: C) Rs. 400

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Filed Under: Percentage
Exam Prep: Bank Exams

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