Quantitative Aptitude - Arithmetic Ability Questions

Q:

If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

A) 12 cm B) 6 cm
C) 1 cm D) 2 cm
 
Answer & Explanation Answer: D) 2 cm

Explanation:
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Filed Under: Area
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Q:

In triangle ABC, AB = 8 cm, angle A is bisected internally to intersect BC at D. BD = 6 cm and DC = 7.5 cm. What is the length of CA?

A) 12 cm B) 10 cm
C) 12.5 cm D) 10.5 cm
 
Answer & Explanation Answer: B) 10 cm

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Q:

PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =

A) 65° B) 130°
C) 115° D) 55°
 
Answer & Explanation Answer: C) 115°

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

A) Only one B) Only two
C) Only three D) Infinitely many
 
Answer & Explanation Answer: A) Only one

Explanation:

let n-1, n, n+1 be 3 consecutive integers

So

(n+1)^2= n^2+ (n-1)^2

(n+1)^2-(n-1)^2= n^2

4n = n^2

So n = 0 or n = 4

n can’t be 0 as n-1 will be negative then

So 3,4 and 5 is the only triplet formed.

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Filed Under: Volume and Surface Area
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Q:

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If lengths of PS, SQ and PR are 6 cm, 9 cm and 12.5 cm respectively, what is the length of TR?

A) 7.5 cm B) 5 cm
C) 10 cm D) 2.5 cm
 
Answer & Explanation Answer: A) 7.5 cm

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Filed Under: Volume and Surface Area
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Q:

The average marks of 45 students is shown as 65. It includes a wrong entry of 84 marks instead of 48 marks. The correct average is:

A) 65.8 marks B) 67.4 marks
C) 62.6 marks D) 64.2 marks
 
Answer & Explanation Answer: D) 64.2 marks

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Filed Under: Average
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Q:

The ten's digit of a 2­digit number is greater than the units digit by 4. If we subtract 36 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 37 B) 18
C) 81 D) 73
 
Answer & Explanation Answer: D) 73

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Filed Under: Problems on Numbers
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Q:

A vendor buys 6 bananas for Rs 25 and sells them at 3 for Rs 20. What is his profit percentage?

A) 50 B) 40
C) 60 D) 30
 
Answer & Explanation Answer: C) 60

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Filed Under: Profit and Loss
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