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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work  ?

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

Explanation:

(5m + 9w)10 = (6m + 12w)8 

=> 50m + 90w = 48w + 96 w    => 1m = 3w

5m + 9w = 5m + 3m = 8m

 

8 men can do the work in 10 days.

3m +3w = 3m + 1w = 4m

So, 4 men can do the work in (10 x 8)/4 = 20 days.

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

9 17437
Q:

Amit can do a piece of work in 45 days, but Bharath can do the same work in 5 days less, than Amit, when  working alone. Amit and Bharath both started the work together but Bharath  left after some days and Amit finished the remaining work in 56 days with half of his efficiency but he did the work with Bharath with his complete efficiency. For how many days they had worked together?

A) 6 B) 8
C) 9 D) 12
 
Answer & Explanation Answer: B) 8

Explanation:

    AmitBharatNo.of Days4540Efficiency2.22Percent(=145)2.5 Percent(=140)

 

Amit did the work in 56 days = 56×145×2=2845 

 

Therefore, Rest work 17/45 was done by Amit and Bharath = 174517360 = 8 days

 

 

 

( since Amit and Bharath  do the work in one day = 145+140=17360)

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

30 17435
Q:

If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :

A) 55.6003 B) 53.603
C) 153.6003 D) 213.003
 
Answer & Explanation Answer: C) 153.6003

Explanation:

4*A + 7/B + 2*C + 5/D + 6*E =47.2506
=> 4 * A + 7/B + 2 *C + 5/D + 6*E = 40 + 7 + 0.2 + 0.05 + 0.0006
Comparing the terms on both sides, we get :
4*A =40, 7/B = 7, 2*C = 0.2, 5/D = 0.05, 6*E = 0.0006
A = 10,
B = 1,
C = 0.1,
D = 100,
E = 0.0001.
5*A + 3*B + 6*C + D + 3*E =(5*10) + (3*1) + (6*0.1) +100 +(3*0.0001)
=50 + 3 + 0.6 + 100 + 0.003 = 153.6003.

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Filed Under: Decimal Fractions

60 17431
Q:

If the cost price of a certain object doubles, then the loss gets tripled of what it was initially. The initial loss % was ?

A) 0 % B) 25 %
C) 75 % D) 50 %
 
Answer & Explanation Answer: D) 50 %

Explanation:

Let the cost price be x and selling price be y.
Loss = x – y

 

When the cost price doubles, the loss gets tripled.
So it becomes like this, 2x – y = 3(x-y)

=> x = 2y

 

Loss % = (loss/ C.P) x 100 = [(2y-y)/2y] x 100= 50 %

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Filed Under: Profit and Loss
Exam Prep: CAT
Job Role: Bank PO

24 17422
Q:

Among the following which is a rational number?

 

A) 23 B) 123
C) 83 D) 43
 
Answer & Explanation Answer: C) 83

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

0 17413
Q:

1. The simple interest on a sum of money is Rs. 50. What is the sum?
I. The interest rate is 10% p.a.
II. The sum earned simple interest in 10 years

A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer D) Both I and II are necessary to answer
 
Answer & Explanation Answer: D) Both I and II are necessary to answer

Explanation:

Given : S.I. = Rs. 50.

I  gives,  R = 10% p.a.

II gives,  T = 10 years.

Sum = (100 x S.I)/(t x r ) =  Rs.(100 x 50)/(10 x 10) = Rs.50

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Filed Under: Simple Interest
Exam Prep: GRE

4 17337
Q:

Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is

A) 12 B) 32
C) 42 D) 52
 
Answer & Explanation Answer: C) 42

Explanation:

required area = [14 x 14 - (4 x 1/4 x 22/7 x 7 x 7) ]sq.cm

= 196 - 154 = 42 sq.cm.

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

11 17336
Q:

A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be

A) 6 B) 9
C) 24 D) 30
 
Answer & Explanation Answer: C) 24

Explanation:

Volume of block=(6 x 9 x 12) cu.cm = 648 cu.cm 

Side of largest cube = H.C.F of 6,9,12 = 3cm 

Volume of the cube=(3 x 3 x 3)=27cu.cm 

Number of cubes=(648/27)=24

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

18 17323