Quantitative Aptitude - Arithmetic Ability Questions

Q:

To travel 672 km, an Express train takes 14 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 8 hours less than Rajdhani. The speed of Rajdhani is

A) 30.5 km/hr B) 14.3 km/hr
C) 38.7 km/hr D) 22.4 km/hr
 
Answer & Explanation Answer: D) 22.4 km/hr

Explanation:
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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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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:

A rectangular red carpet of size 6 ft ×12 ft has a dark red border 6 inches wide. What is the area of the dark red border?

 

A) 9 square feet B) 15 square feet
C) 17 square feet D) 18 square feet
 
Answer & Explanation Answer: C) 17 square feet

Explanation:
Initially carpet is 6×12 = 72 sq feet
Since red border is 6 inches wide from all 4 side
So area without border = 5× 11 = 55 sq feet
Area of border = total–area without border = 72–55 = 17 sq feet
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

A boy starts from his house and walks at a speed of 5 km/hr and reaches his school 3 minutes late. Next day he starts at the same time and increases hisspeed by 4 km/hr and reaches 3 minutes early. What is the distance (in km) between the school and his house?

A) 1 B) 1.25
C) 1.125 D) 1.5
 
Answer & Explanation Answer: C) 1.125

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Mansukh can do a piece of work in 10 hours. If he is joined by Jayanti who is 50% more efficient, in what time will they together finish the work?

A) 2 hours B) 6 hours
C) 4 hours D) 3 hours
 
Answer & Explanation Answer: C) 4 hours

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at a speed of 4 km/hour and partly on bicycle at a speed of 9 km/hour . The distance travelled on foot is

A) 14 km B) 16 km
C) 20 km D) 18 km
 
Answer & Explanation Answer: B) 16 km

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Two trains move from stations M and N. Both trains move towards each other at speeds of 54 km/hr and 63 km/hr respectively. When they meeteach other, the second train has travel 100 km more than the first. What is the distance (in km) between M and N

A) 600 B) 700
C) 1300 D) 1500
 
Answer & Explanation Answer: C) 1300

Explanation:
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Filed Under: Problems on Trains

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Q:

2 sec2A is equal to

A) (1 - tanA)2 - (1 + tanA)2 B) √[(1 - tanA)2 + (1 + tanA)2 ]
C) √[(1 - tanA)2 - (1 + tanA)2] D) (1 - tanA)2 + (1 + tanA)2
 
Answer & Explanation Answer: D) (1 - tanA)2 + (1 + tanA)2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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