Quantitative Aptitude - Arithmetic Ability Questions

Q:

Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ∠PQR = 40°, then what is the value (in degrees) of ∠QPR?

A) 40 B) 45
C) 50 D) 55
 
Answer & Explanation Answer: C) 50

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Filed Under: Simplification
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Q:

In an army selection process, the ratio of selected to unselected was 6:1. If 90 less had applied and 30 less selected, the ratio of selected to unselected would have been 8:1. How many candidates had applied for the process?

A) 3150 B) 6300
C) 4725 D) 1575
 
Answer & Explanation Answer: D) 1575

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

What is the value of √2 Sec 45 - Tan 30?

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

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Q:

In each of the following questions, a question is followed by information given in them Statements I, II and III. You have to study the question along with the statements and decide the information given in which or the statements/ is necessary to answer the question. 

What is the cost of flooring the rectangular hall?

I. Length and the breadth of the hall are in the ratio of 3:2

II. Length of the hall is 48 m and cost of flooring is ₹ 850 Per sq.m.

III. Perimeter of the hall is 160 m and cost of flooring is ₹ 850 per sq m

A) I and II B) I and III
C) Only III D) I and either II or III
 
Answer & Explanation Answer:

Explanation:

From I and II,
Length = 3x = 48 m
∴ x = 16
Breath = 2x = 32 m
Hence, Area of floor = 48 × 32
Cost of flooring = 48 × 32 × 850 = ₹ 1305600
From I and III, 2(l +b) = 160
2(3x + 2x) = 160
10x = 160
∴ x = 16
∴ Length = 3 × 16 = 48 m
Breadth = 2x = 32m
Cost of flooring = (48 × 32) × 850 = ₹ 1305600
Similarly, from II and III, we can find
l = 48 m
b = 32 m
and Total cost of flooring = ₹ 1305600

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Q:

P and Q are at a distance of 240 km from each other at 9:00 a.m. After 1 hour, P starts moving towards Q at a speed of 25 km/hr. At 11 a.m. Q startsmoving towards P at the speed of 18 km/hr. At what time (in p.m.) will they meet?

 

A) 6 B) 5
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

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Filed Under: Time and Distance
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Q:

The ratio of three numbers is 2 : 5 : 7. If their product is 1890, then what is the sum of the three numbers?

A) 82 B) 140
C) 42 D) 72
 
Answer & Explanation Answer: C) 42

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Filed Under: Ratios and Proportions
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Q:

In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?

A) 4.8 cm B) 9.8 cm
C) 7.8 cm D) 7.2 cm
 
Answer & Explanation Answer: D) 7.2 cm

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Filed Under: Area
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Q:

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

A) M B) E
C) S D) W
 
Answer & Explanation Answer: B) E

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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