Quantitative Aptitude - Arithmetic Ability Questions

Q:

If a merchant offers a discount of 40% on the list price, then he makes a loss of 10%. What % profit or % loss will he make if he sells at a discount of 20% of the list price?

A) 4 percent loss B) 14 percent profit
C) 5.5 percent loss D) 20 percent profit
 
Answer & Explanation Answer: D) 20 percent profit

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams , CAT

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Q:

A card is drawn from a pack of 52 cards. What is the probability that either card is black or a king? 

A) 15/52 B) 17/26
C) 13/17 D) 15/26
 
Answer & Explanation Answer: D) 15/26

Explanation:

Number of cards in a pack of cards = 52

Number of black cards = 26

Number of king cards = 4 (2 Red, 2 Black)

 

Required, the probability that if a card is drawn either card is black or a king = 

2652 + 452 = 3052 = 1526

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

Rithika had Rs 8000. She invested some of it in savings scheme P and the rest of the money in savings scheme Q. She invested for 3 years in savings scheme P and for 2 years in savings scheme Q. savings scheme P offers SI at a rate of 20% pa while savings scheme Q compounded annually at the rate of 30% pa. The interest received from savings scheme P is 930 more than the interest received from savings scheme Q. If Rs 1500 is debited from the invested amount of savings scheme P then find the difference between the amount invested by Rithika in savings scheme P & savings scheme Q.

A) Rs 200 B) Rs 300
C) Rs 400 D) Rs 500
 
Answer & Explanation Answer: D) Rs 500

Explanation:
Amount invested in savings scheme P= Rs X

Amount invested in savings scheme Q= Rs (8000-X)

Compounding 30 % for 2 years , rate

30+30+ (30*30)/100= 69 %

60 % of X-69 % of (8000-X)=930

X= 5000

In savings savings scheme Q = 8000-5000=3000

5000 - 1500 = 3500

Difference =3500-3000=Rs 500

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Filed Under: Partnership
Exam Prep: Bank Exams

0 2142
Q:

The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is - 

A) 3:2 B) 2:3
C) 5:7 D) 7:5
 
Answer & Explanation Answer: B) 2:3

Explanation:

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And,  height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

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Q:

If a number is decreased by 10%, it becomes 54. To make it 72, it should be increased by

A) 21% B) 18%
C) 200/9% D) 20%
 
Answer & Explanation Answer: D) 20%

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

The third proportional of two numbers 9 and 15 is

A) 21 B) 30
C) 25 D) 45
 
Answer & Explanation Answer: C) 25

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

If a cylinder of radius 4 cm and height 8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

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

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

In the given figure, PQRS is a square inscribed in a circle of radius 4 cm. PQ is produced till point Y. From Y a tangent is drawn to the circle at point R. What is the length (in cm) of SY ?

A) 4√10 B) 2√10
C) 6√10 D) 3√5
 
Answer & Explanation Answer: A) 4√10

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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