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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A boy running at 10/9 th of his actual speed covers 39 km in 2 hours 20 minutes and 24 seconds. Find the actual speed of the boy (approx.)

A) 15 kmph B) 50 kmph
C) 39 kmph D) 150 kmph
 
Answer & Explanation Answer: A) 15 kmph

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A shopkeeper allows a discount of 20% to his customers and still gains 25%. Find the Marked price of an article which costs Rs.600 to the shopkeeper.

A) Rs.937.50 B) Rs.937
C) Rs.930 D) Rs.1000
 
Answer & Explanation Answer: A) Rs.937.50

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

O is the circumcentre of ΔABC. If AO = 8 cm, then the length of BO is

A) 12 cm B) 3 cm
C) 6 cm D) 8 cm
 
Answer & Explanation Answer: D) 8 cm

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

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Q:

Point Q(-1,b) is the midpoint of segment EF. Co-ordinates of point E are (-4,a) and point F are (2,0). What is the value of a and b?

A) a = 2; b = 1 B) a = -2; b = -1
C) a = -4; b = -8 D) a = 4; b = 8
 
Answer & Explanation Answer: B) a = -2; b = -1

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 1,800, and Rs 1,926 respectively, what is the rate of interest?

A) 7.5% B) 7%
C) 6% D) 6.5%
 
Answer & Explanation Answer: B) 7%

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Filed Under: Compound Interest
Exam Prep: Bank Exams

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Q:

At 30% discount the selling price of an article is Rs 1050. What is the selling price (in Rs) if the discount is 15%?

A) 1200 B) 1175
C) 1100 D) 1275
 
Answer & Explanation Answer: D) 1275

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If a--b = 4 and ab = 45, find the value of a3 - b3

A) 604 B) 370
C) 253 D) 199
 
Answer & Explanation Answer: A) 604

Explanation:

(a – b)2 = a2 + b2 -2ab ⇒ 16 = a2 + b2 – 90 ⇒ a2 + b2 = 106 a3 – b3 = (a – b) (a2 + b2 + ab) ⇒ a3 – b3 = 4 X (106 + 45) ⇒ a3 – b3 = 4 X 151 ⇒ a3 – b3 = 604

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The length and breadth of a rectangle is in the ratio of 3 : 1. If its perimeter is 96 m, then what is the length of the rectangle?

A) 36m B) 24m
C) 12m D) 48m
 
Answer & Explanation Answer: A) 36m

Explanation:

Let the length of the rectangle be 3x and breadth be 1x
Given, perimeter = 96 m
2(l + b) = 96 (or) l + b = 48 (or) 3x + 1x = 48 (or) x = 12 m
Now, Length of the rectangle = 12 x 3 = 36 m

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT

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