Quantitative Aptitude - Arithmetic Ability Questions

Q:

10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?

A) 215 days B) 225 days
C) 235 days D) 240 days
 
Answer & Explanation Answer: B) 225 days

Explanation:

Given that

(10M + 15W) x 6 days = 1M x 100 days

=> 60M + 90W = 100M

=> 40M = 90W

=> 4M = 9W.

From the given data,

1M can do the work in 100 days

=> 4M can do the same work in 100/4= 25 days.

=> 9W can do the same work in 25 days.

=> 1W can do the same work in 25 x 9 = 225 days.

 

Hence, 1 woman can do the same work in 225 days.

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Q:

A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?

A) 24.52 litres B) 29.63 litres
C) 28.21 litres D) 25.14 litres
 
Answer & Explanation Answer: B) 29.63 litres

Explanation:

Given that container has 50 litres of milk.

 After replacing 8 litres of milk with water for three times, milk contained in the container is:

 501-8503

50×4250×4250×4250  = 29.63 litres.

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Filed Under: Alligation or Mixture
Exam Prep: CAT
Job Role: Bank PO

51 33856
Q:

Due to reduction of 25% in price of oranges a customer can purchase 4 oranges more for Rs. 16. what is original price of an orange?

A) Rs 1 B) Rs 1.33
C) Rs 1.5 D) Rs 1.6
 
Answer & Explanation Answer: B) Rs 1.33

Explanation:

Recall it is based on inverse proportion or product constancy concept.

 

 

 

     Reducion in price                      increase in amount

 

 

 

         25%     1/4                              1/3   33.33% = 4 oranges

 

 

 

It means original number of oranges = 4 x 3 = 12

 

 

 

original price of oranges = 16/12 = Rs. 1.33

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

185 33792
Q:

In each of these questions, two equations (I) and (II) are given.

I. 2x2+19x+42 = 0II. 4y2+43y+30 = 0

A)  x > y B) x < y
C)  x ≥ y D) x ≤ y
 
Answer & Explanation Answer:

Explanation:

I. 2x2 + 19x + 42 = 0

2x2 + 12x + 7x + 42 = 0

2x (x+6) + 7(x +6) = 0

(2x+7) (x+6) = 0 x = -7/2, -6 I

I. 4y2 + 43y + 30 = 0

4y2 +40y + 3y + 30 = 0

4y(y + 10) + 3(y + 10) (4y + 3)(y + 10) = 0

y = -3/4, -10

So answer is no relation.

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Filed Under: Simplification

2 33712
Q:

The value of 0.592 ÷ 0.8 = ?

 

A) 7.4 B) 0.74
C) 740 D) 0.074
 
Answer & Explanation Answer: B) 0.74

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If x2 + kx + k = 0, has two distinct real solutions, then the value of k will satisfy

 

A) k<0 or k>4 B) k>4 only
C) 0<k<4 D) k<0 only
 
Answer & Explanation Answer: A) k<0 or k>4

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :

A) 20000 B) 40000
C) 60000 D) 80000
 
Answer & Explanation Answer: C) 60000

Explanation:

Suppose Y invested Rs. y. Then 40000/y = 2/3 or y = 60000 .

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Filed Under: Partnership

23 33674
Q:

Find the odd man out of the series?

128, 32, 14, 2.66, 0.88

A) 32 B) 14
C) 2.66 D) 0.88
 
Answer & Explanation Answer: B) 14

Explanation:

Here the given series is 128, 32, 14, 2.66, 0.88

 

128 / 4 = 32

32 / 3 = 10.666

10.666 / 4 = 2.666

2.666 / 3 = 0.888

 

Hence, the odd man in the given number series is 14.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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