Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which of the following is correct?

A) (4x + 5y)(5x - 4y) = 20x2 + 9xy - 20y2 B) (4x + 5y)(5x - 4y) = 20x2 + 41xy - 20y2
C) (4x + 5y)(5x - 4y) = 20x2 - 9xy + 20y2 D) (4x + 5y)(5x - 4y) = 20x2 - 41xy + 20y2
 
Answer & Explanation Answer: A) (4x + 5y)(5x - 4y) = 20x2 + 9xy - 20y2

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Filed Under: Simplification
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Q:

The angle of elevation of the top of a hill at the foot of the tower is 60 deg and the angle of elevation of the top of the tower from the foot of the hill is 30 deg. If the tower is 50 m high, what is the height of the hill?

A) 100 m B) 120 m
C) 180 m D) 150 m
 
Answer & Explanation Answer: D) 150 m

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Filed Under: Height and Distance
Exam Prep: Bank Exams

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Q:

Which of the following quadratic equations has real roots?

A) 4x2 - 3x + 6 = 0 B) 2x2 + 7x + 6 = 0
C) x2 - 2x + 4 = 0 D) 3x2 - 4x + 3 = 0
 
Answer & Explanation Answer: B) 2x2 + 7x + 6 = 0

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Filed Under: Simplification
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Q:

In the following question, select the odd letter/letters from the given alternatives.

A) RTVX B) GIKM
C) DFIK D) LNPR
 
Answer & Explanation Answer: C) DFIK

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

The compound interest on Rs. 64,000 for 3 years, compounded annually at 7.5% p.a. is Rs. 64,000

A) Rs. 14,400 B) Rs. 15,705
C) Rs. 15,507 D) Rs. 15,075
 
Answer & Explanation Answer: C) Rs. 15,507

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Q:

If a cone of radius 10.5 cm and height 12 cm is melted and constructed into a cylinder of the same radius, what will be the height of this cylinder?

A) 8 cm B) 6 cm
C) 4 cm D) 2 cm
 
Answer & Explanation Answer: C) 4 cm

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Q:

In the first 36 overs of a cricket match, the run rate was 4.3 runs/over. Calculate the required run rate in the remaining 14 overs to reach the target of 271 runs?

A) 8.9 B) 9.5
C) 8.3 D) 7.7
 
Answer & Explanation Answer: C) 8.3

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

The corners of a square of side ‘a’ are cut away so as to form a regular octagon. What is the side of the octagon?

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

Explanation:

Since we are forming a regular octagon

so AE = AL = FB = BG and so on

So AE = SB = x/√2

AE + EF + FB = side of square = a (Given)

So x/√2 + x + x/√2 = a

X = a/(√2+1) = a(√2 -1)

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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