Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of (cos 40° – cos 140°)/(sin 80° + sin 20°)?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the value of Cot 45°+ 1/3 Cosec 60°?

A) √3 + 2 B) (9 + 2√3)/9
C) √3 D) (2√2 + 3)/√6
 
Answer & Explanation Answer: B) (9 + 2√3)/9

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If 17/3 + [3(2x - 5/3)]/2 = 1/6, then what is the value of x?

A) 1 B) 3
C) -3 D) -1
 
Answer & Explanation Answer: D) -1

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If 35% of (x + y) = 40% of (x – y), then x is what percentage of y?

A) 1500 B) 150
C) 15 D) 105
 
Answer & Explanation Answer: A) 1500

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Filed Under: Percentage
Exam Prep: Bank Exams , CAT

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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

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Q:

Mahesh buys a watch of Rs 300 and sells it. Mahesh gives two successive discount of 15% and 6% to the buyer. What will be the selling price (in Rs) ofthe watch?

A) 213.4 B) 242.3
C) 239.7 D) 247.4
 
Answer & Explanation Answer: C) 239.7

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

In what ratio should tea costing Rs 300/kg be mixed with tea costing Rs 200/kg so that the cost of the mixture is Rs 225/kg?

A) 3 : 1 B) 1 : 3
C) 1 : 4 D) 4 : 1
 
Answer & Explanation Answer: B) 1 : 3

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

A man travelled a distance of 50 km in 8 hours. He travelled partly on foot at 5 km/hr and partly on bicycle at 7 km/hr. What is the distance (in kms) travelled on foot?

A) 20 B) 25
C) 15 D) 30
 
Answer & Explanation Answer: C) 15

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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