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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is ?

A) 56 days B) 54 days
C) 60 days D) 64 days
 
Answer & Explanation Answer: D) 64 days

Explanation:

(P+Q)'s 1 day work = 1/24

P's 1 day work = 1/32

=> Q's 1 day work = 1/24 - 1/32 = 1/96

Work done by (P+Q) in 8 days = 8/24 = 1/3

Remainining work = 1 - 1/3 = 2/3

Time taken by Q to complete the remaining work = 2/3 x 96 = 64 days.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

22 20770
Q:

Which number will fit in '?' place in the following series?

 

12, 23, 45, 89, ?

 

A) 175 B) 176
C) 177 D) 178
 
Answer & Explanation Answer: C) 177

Explanation:
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Filed Under: Numbers
Exam Prep: Bank Exams

9 20739
Q:

The difference between Simple Interest and True Discount on a certain sum of money for 6 months at 1212% per annum is Rs 25. Find the sum.

A) Rs.6800 B) Rs.6500
C) Rs.6000 D) Rs.6200
 
Answer & Explanation Answer: A) Rs.6800

Explanation:

 

 

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Filed Under: True Discount

53 20707
Q:

5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible?

A) 2880 B) 1440
C) 720 D) 2020
 
Answer & Explanation Answer: A) 2880

Explanation:

There are total 9 places out of which 4 are even and rest 5 places are odd.

 

4 women can be arranged at 4 even places in 4! ways.

 

and 5 men can be placed in remaining 5 places in 5! ways.

 

Hence, the required number of permutations  = 4! x 5! = 24 x 120 = 2880

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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8 20700
Q:

Find the volume (in cub.cm) of a hemisphere of diameter 28 cm.

 

A) 4789.67   B) 3675  
C) 2732 D) 5749.33
 
Answer & Explanation Answer: D) 5749.33

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

1 20699
Q:

A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ?

A) Rs.37,500 B) Rs.36,400
C) Rs.37,415 D) Rs.36,500
 
Answer & Explanation Answer: A) Rs.37,500

Explanation:

Assume A be the cost price.

 

Therefore,
35×A×10100 - 25×A×5100 = 1500

 

=>  A = Rs 37,500.

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Filed Under: Profit and Loss
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

30 20685
Q:

The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

A) 1677 B) 1683
C) 2523 D) 3363
 
Answer & Explanation Answer: B) 1683

Explanation:

L.C.M. of 5, 6, 7, 8 = 840.

 

 Required number is of the form 840k + 3

 

Least value of k for which (840k + 3) is divisible by 9 is k = 2.

 

 Required number = (840 x 2 + 3) = 1683.

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Filed Under: HCF and LCM

25 20670
Q:

If 6 years are subtracted from the present age of Arun and the remainder is divided by 18, then the present age of his grandson Gokul is obtained. If Gokul is 2 years younger to Madan whose age is 5 years, then what is the age of Arun ?

A) 72 years B) 54 years
C) 60 years D) 47 years
 
Answer & Explanation Answer: C) 60 years

Explanation:

Let the Present age of arun is x
Gokul's age = 5-2 = 3
x-6/18 = 3
x-6 = 54
x = 60
Arun's present age = 60 years

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

22 20659