Quantitative Aptitude - Arithmetic Ability Questions

Q:

A box contains 5 green, 4 yellow and 3 white marbles. Threemarbles are drawn at random. What is the probability thatthey are not of the same colour ?

A) 40/44 B) 44/41
C) 41/44 D) 40/39
 
Answer & Explanation Answer: C) 41/44

Explanation:

n(E) = 5C3 + 4C3 + 3C3 = 10 + 4 + 1 = 15n(S) = 12C3 = 220

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Filed Under: Permutations and Combinations
Exam Prep: Bank Exams

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Q:

Mohit and Anshu invested some money in a business in the ratio 8 : 15 respectively. After 9 months Mohit withdraws his capital. If they receive profits in the ratio 4 : 5, then for how many months did Anshu invest in the business?

A) 4 B) 5
C) 8 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

The sum of three numbers is 162. If the ratio of the first number to the second number is 5 : 7 and that of the second number to the third number is 5 :3, then what is the second number?

A) 35 B) 70
C) 80 D) 40
 
Answer & Explanation Answer: B) 70

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

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Q:

XYZ is right angled at Y. If m ∠Z = 60. What is the length (in cm) of YZ, if ZX = 9√3 cm?

A) 3√3 B) 3√3/2
C) 9√3/2 D) √3
 
Answer & Explanation Answer: C) 9√3/2

Explanation:
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Filed Under: Simplification
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:

Madhur works 2 times faster than Sagar. If Sagar can complete a job alone in 18 days, then in how many days can they together finish the job?

A) 5 days B) 2 days
C) 6 days D) 4 days
 
Answer & Explanation Answer: C) 6 days

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

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Q:

Profit of Rs 728000 has to be divided among three partners Amir, Balaraj and Charan in the ratio 7:5:4. How much share (in Rs) does Charan get?

A) 227500 B) 318500
C) 91000 D) 182000
 
Answer & Explanation Answer: D) 182000

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

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Q:

A train travels 20% faster than a car. Both start from point A at the same time and reach point B, 180 km away at the same time. On the way the train takes 30 minutes for stopping at the stations. What is the speed (in km/hr) of the train?

A) 56 B) 66
C) 72 D) 84
 
Answer & Explanation Answer: C) 72

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

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