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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

In how many ways can 4 girls and 5 boys be arranged in a row so that all the four girls are together ?

A) 18000 B) 17280
C) 17829 D) 18270
 
Answer & Explanation Answer: B) 17280

Explanation:

Let 4 girls be one unit and now there are 6 units in all.

 

They can be arranged in 6! ways.

 

In each of these arrangements 4 girls can be arranged in 4! ways. 

 

Total number of arrangements in which girls are always together = 6! x 4!= 720 x 24 = 17280

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Filed Under: Permutations and Combinations

22 26419
Q:

What smallest number should be added to 4456 so that the sum is completely divisible by 6 ?

A) 4 B) 3
C) 2 D) 1
 
Answer & Explanation Answer: C) 2

Explanation:

6)4456(742
42
--------
25
24
-------
16
12
-----
4
------
Required number = (6-4) = 2.

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Filed Under: Numbers

25 26395
Q:

The least number that must be subtracted from 7577 to get a perfect square is

 

A) 7 B) 6
C) 5 D) 8
 
Answer & Explanation Answer: D) 8

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

4 26392
Q:

Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.

A) Rs.625 B) Rs.626
C) Rs.286 D) Rs.627
 
Answer & Explanation Answer: A) Rs.625

Explanation:

Let the two parts be Rs. x and Rs. (1301 - x).

 x1+41007=1301-x1+41009

 x1301-x=1+41002=2625*2526

 

=> 625x=676(1301-x) 

1301x=676 x 1301x=676.
So,the parts are rs.676 and rs.(1301-676)i.e rs.676 and rs.625

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

33 26354
Q:

Sivagami is 2 years elder than Meena. After 6 years the total of their ages will be 7 times of their current age. Then age of Sivagami is :

A) 19 years B) 17 years
C) 15 years D) data inadequate
 
Answer & Explanation Answer: D) data inadequate

Explanation:

Let Meena’s age = A.
Then Sivagami’s age = A + 2
After 6 years the total of their ages will be 7 times of what?
Not clear.
So the given data are inadequate.

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Filed Under: Problems on Ages

49 26262
Q:

David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?

A) 75 B) 68
C) 65 D) 60
 
Answer & Explanation Answer: A) 75

Explanation:

Average =   (76 + 65 + 82 + 67 + 85 )/ 5 = 375/5   =  75.

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Filed Under: Average

24 26237
Q:

A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year  ?

A) 21:29 B) 41:54
C) 32:45 D) 37:51
 
Answer & Explanation Answer: C) 32:45

Explanation:

             A              :               B
(8000x4)+(4000x8) : (9000x6)+(6000x6)
         64000           :      90000
=>        32 : 45

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

28 26236
Q:

A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.

A) 14 B) 13
C) 12 D) 11
 
Answer & Explanation Answer: A) 14

Explanation:

Distance covered in one revolution = 88×10001000= 88m. 

 

2πR2=88  ⇒2×227×R=88  ⇒R=88×744

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

23 26232