Quantitative Aptitude - Arithmetic Ability Questions

Q:

The difference between the present ages of Avanthi and Kapil is 9 years. After 7 years, Kapil’s age is twice of Avanthi’s age. What will be Kapil’s age after 4 years?

A) 15 B) 16
C) 18 D) 20
 
Answer & Explanation Answer: A) 15

Explanation:

Let the present ages of Kapil and Avanthi be K & A

Given difference in their ages = K - A = 9 years ...........(1)

After 7 years, K + 7 =  2(A + 7) ......(2)

K + 7 = 2A + 14

K - 2A = 7 ............(3)

K - A = 9 ....(1)

From (1) & (3),

-A = -2

=> A = 2 years

=> K = 9 + 2 = 11 years

 

Required, age of Kapil after 4 years = 11 + 4 = 15 years.

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3 2853
Q:

8 litres are drawn from a flask containing milk and then filledwith water. The operation is performed 3 more times. Theratio of the quantity of milk left and total solution is 81/625.How much milk the flask initially holds?

A) 10 ltr B) 20 ltr
C) 30 ltr D) 40 ltr
 
Answer & Explanation Answer: B) 20 ltr

Explanation:

Let initial quantity be Q, and final quantity be F

F = Q(1 - 8/Q)4

=> Q = 20

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Filed Under: Alligation or Mixture

5 2852
Q:

If a + b + c = 7/12, 3a – 4b + 5c = 3/4 and 7a – 11b – 13c = – 7/12, then what is the value of a + c?

A) 1/2 B) 5/12
C) 3/4 D) 1/4
 
Answer & Explanation Answer: B) 5/12

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

2 2849
Q:

The average weight of L, M and N is 93 kg. If the average weight of L and M be 89 kg and that of M and N be 96.5 kg, then the weight (in kg) of M is ________.

A) 92 B) 86
C) 101 D) 95
 
Answer & Explanation Answer: A) 92

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

3 2848
Q:

A student has to secure 40% marks to pass. He gets 67 and fails by 13 marks. What is the maximum marks?

A) 300 B) 200
C) 150 D) 240
 
Answer & Explanation Answer: B) 200

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

2 2844
Q:

Kanchan bought a clock with 25% discount on marked price. She sold it with 75% gain on the price she bought. What was her profit percentage on the marked price?

A) 31.25 B) 50
C) 56.25 D) 60
 
Answer & Explanation Answer: A) 31.25

Explanation:
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Filed Under: Clocks
Exam Prep: Bank Exams

21 2842
Q:

‘X’ is a bread seller who marked up price of each bread packet by 150% above and allow discounts of 40% and made a profit of Rs. 30 on each bread packet. If ‘X’ allows 37.5% discount on each packet, then find how much profit he gets on selling 80 bread packets?

A)  Rs 2750  B)  Rs 3200 
C)  Rs 2500  D)  Rs 2700 
 
Answer & Explanation Answer: D)  Rs 2700 

Explanation:

Let cost price of each bread packet = a Rs.

So, marked price of each bread packet = 2.5a

And selling price of each bread packet = 2.5a × 60/100 = 1.5a

Given, 1.5a –

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT

4 2842
Q:

A man who recently died left a sum of Rs. 3,90,000 to be divided among his wife, five sons and four daughters. He directed that each son should receive 3 times as much as each daughter receives and that each daughter receives and that each daughter should receive twice as much as their mother receives. What was the wife’s share?

A) Rs. 14,000 B) Rs. 12,000
C) Rs. 10,000 D) Rs. 9,000
 
Answer & Explanation Answer: C) Rs. 10,000

Explanation:
Let his wife get a share of Rs x
Each of the 4 daughters get = Rs 2x
Each of the 5 sons get = Rs 6x
So x + 4*2x + 5*6x = 390000
So 39x = 390000
X=10000 = wife’s share
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Filed Under: Partnership
Exam Prep: Bank Exams

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