Quantitative Aptitude - Arithmetic Ability Questions

Q:

The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?

A) 360sq metre B) 380 sq metre
C) 360 metre D) 400 sq metre
 
Answer & Explanation Answer: A) 360sq metre

Explanation:

Let the breadth of rectangle be x m.

Then, the length of rectangle = (x+ 6) m

Perimeter of rectangle = 2 (x+x+ 6) m

Therefore, 2 (x+x+ 6) = 84 m

4x+ 12 = 84

4x= 84 –12
4x = 72/4 = 18
Therefore, length of rectangle = 18 + 6 = 24 m = height of triangle

Diagonal of rectangle = √(324+576) = 30 m = base of triangle

Therefore, are of triangle =1/2× base × height =1/2× 24 × 30 = 360 sq. m

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Filed Under: Area
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Q:

A batsman scores 98 runs in the 17th match of his career. His average runs per match increased by 2.5. What is his average before the 17th match?

A) 58 B) 60.5
C) 63 D) 55.5
 
Answer & Explanation Answer: D) 55.5

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

0.0245¯ written as a vulgar fraction in its simplest form = ?

A) 9/370 B) 27/1111
C) 27/1100 D) 9/37
 
Answer & Explanation Answer: C) 27/1100

Explanation:
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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

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Q:

Cost price of a pen is 50 Rs. and that of notebook is 140 Rs. If pen is sold at 200% profit, then to purchase 10 such note books how many pens are required to sell if only profit money is used to buy notebooks?

A) 14 B) 18
C) 15 D) 20
 
Answer & Explanation Answer: A) 14

Explanation:

C.P. of 10 note books ⇒ 140 × 10 = 1400 Rs.
Profit on selling one pen ⇒ 50×200/100 = Rs 100
Number of pen required ⇒ 1400/100 = 14

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Q:

If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2?

A) 9 : 4 : 25 B) 25 : 4 : 9
C) 64 : 25 : 49 D) 49 : 25 : 64
 
Answer & Explanation Answer: C) 64 : 25 : 49

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A milk merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5 litres of water in it. If he sells this mixture at the rate of Rs 42 per litre, then what is the profit percentage for the dealer?

A) 17.2 B) 14.4
C) 16.6 D) 15.5
 
Answer & Explanation Answer: D) 15.5

Explanation:
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Filed Under: Alligation or Mixture
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Q:

A can do a work in 36 days and B in 12 days. If they work on it together, then in how many days will they be able to do the work?

A) 8 B) 6
C) 10 D) 9
 
Answer & Explanation Answer: D) 9

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

A man travels 420 kilometres in, partly by rail and partly by steamer. He spends 8 hours more time on steamer. If the velocity of the steamer is 35 km/hr and the velocity of rail is 65 km/hr, how much distance does he cover by steamer?

A) 395 km B) 329 km
C) 494 km D) 592 km
 
Answer & Explanation Answer: B) 329 km

Explanation:
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Filed Under: Time and Distance
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