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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Q:

70000 a year is how much an hour?

A) 80 B) 8
C) 0.8 D) 0.08
 
Answer & Explanation Answer: B) 8

Explanation:

Given for year = 70000

=> 365 days = 70000

=> 365 x 24 hours = 70000

=>   1 hour = ?

70000/365x24 = 7.990 = 8

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3 2936
Q:

The HCF of two numbers is 11 and their LCM is 330. If one of the number is 55. Find the other number.

A) 33 B) 66
C) 44 D) 77
 
Answer & Explanation Answer: B) 66

Explanation:
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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT

4 2936
Q:

7 hrs after a goods train passed a station, another train travelling at a speed of 54 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 11 hours. What is the speed of the goods train?

A) 39.6 km/hr B) 49.5 km/hr
C) 33 km/hr D) 26.4 km/hr
 
Answer & Explanation Answer: C) 33 km/hr

Explanation:
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Filed Under: Problems on Trains

3 2930
Q:

Area of the circle inscribed in a square of diagonal 6√2 cm (in sq cm) is

A) 9 Π B) 6 Π
C) 3 Π D) 9√2 Π
 
Answer & Explanation Answer: A) 9 Π

Explanation:
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Filed Under: Area
Exam Prep: AIEEE , Bank Exams

1 2923
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 2922
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 2921
Q:

The cost price of an article is Rs x. It is marked up by 200%. It is sold at Rs 540 after giving 25% discount. What is the value of x (in Rs)?

A) 360 B) 250
C) 300 D) 240
 
Answer & Explanation Answer: D) 240

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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