Quantitative Aptitude - Arithmetic Ability Questions

Q:

PQR is a triangle, whose area is 180 cm2. S is a point on side QR, such that PS is the angle bisector of ∠QPR. If PQ : PR = 2 : 3, then what is the area (in cm2) triangle PSR?

A) 90 B) 108
C) 144 D) 72
 
Answer & Explanation Answer: B) 108

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

Train A can cross a man in 8 sec and a 180 m long platform ‘P’ in 17 sec. If train A cross train B which is running in opposite direction at speed of 108 km/hr in 8 sec, then find time taken by train B to cross platform P? 

A) 16 sec B) 11 sec
C) 14 sec D) 12 sec
 
Answer & Explanation Answer: C) 14 sec

Explanation:

Let length of train A be ‘L’ m and speed be ‘V’ m/s

ATQ –

V =

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

A wholesaler sells a watch to a retailer at a profit of 25% and the retailer sells it to a customer at a loss of 12%. If the customer pays Rs 1045, what had it cost the wholesaler?

A) Rs 950 B) Rs 1149
C) Rs 1244 D) Rs 751
 
Answer & Explanation Answer: A) Rs 950

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

A man starts running from point P at 11:00 a.m. with a speed of 10 km/hr. He runs for 2 hours and then takes a 1 hour rest. He continues this till he is caught by another man who starts at 2:00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m.) will the first man be caught?

A) 6:20 B) 4:40
C) 6:00 D) 5:30
 
Answer & Explanation Answer: B) 4:40

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

If two successive discounts of 25% and 30% are given, then what will be the ratio of marked price to selling price?

A) 20 : 7 B) 40 : 21
C) 20 : 17 D) 40 : 33
 
Answer & Explanation Answer: B) 40 : 21

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

A) 10 & 12 B) 10 & 18
C) 12 & -18 D) -12 & 18
 
Answer & Explanation Answer: D) -12 & 18

Explanation:

Given, difference of the squares of two numbers is 180.

k2 - l2 - 180

 

Also, square of the smaller number is 8 times the larger.

= l= 8k

 

Thus, k2 - 8a - 180 = 0

k2 – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

 

Thus, the other number is

324 - 180 = l2 

 

→ Numbers are 12, 18 or -12, 18.

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

The LCM of 16, 24, 36, 52 and 54 is?

A) 5618 B) 5216
C) 432 D) 5616
 
Answer & Explanation Answer: D) 5616

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

From a pack of 52 cards, 3 cards are drawn together atrandom, What is the probability of both the cards are king?

A) 1/5225 B) 1/5525
C) 5525 D) 1/525
 
Answer & Explanation Answer: B) 1/5525

Explanation:

n(S) = 52C3 = 132600/6 = 22100

n(E) = 4C3 = 24/6 = 4

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