Quantitative Aptitude - Arithmetic Ability Questions

Q:

Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ?

A) Rs. 500 B) Rs. 245
C) Rs. 1250 D) Rs. 635
 
Answer & Explanation Answer: A) Rs. 500

Explanation:

(kx5x1)/100 + [(1500 - k)x6x1]/100 = 85

5k/100 + 90 – 6k/100 = 85

k/100 = 5

=> k = 500

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Filed Under: Simple Interest
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12 17698
Q:

12 buckets of water fill a tank when the capacity of each tank is 13.5 liters. How many buckets will be needed to fill the same tank,if the capacity of each bucket is 9 liters?

A) 8 B) 15
C) 16 D) 18
 
Answer & Explanation Answer: D) 18

Explanation:

Capacity of the tank =(12 x 13.5) liters =162 liters.

Capacity of each bucket =9 liters

Number of buckets needed = 162/9 =18.

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Filed Under: Pipes and Cistern

26 17679
Q:

A sum of money invested at compound interest amounts to Rs. 800 in 3 years and to Rs. 840 in 4 years. The rate of interest per annum is

A) 6% B) 4%
C) 5% D) 7%
 
Answer & Explanation Answer: C) 5%

Explanation:

S.I. on Rs.800 for 1 year

=Rs[840 - 800]

= Rs.40

 

Rate

=(100x40/800x1)%

= 5%

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Filed Under: Compound Interest
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15 17671
Q:

In a village the average age of n people is 42 years. But after the verification it was found that the age of a person had been  considered 20 years less than the actual age, so the new average, after the correction,increased by 1. The value of n is :

A) 21 B) 20
C) 22 D) None of these
 
Answer & Explanation Answer: B) 20

Explanation:

It is the same as a person with 20 years more age  replaces an existing person of the group ( or village)

Since the total age of the village having n persons, is being increased by 20 years and the average age of village is being increased by 1 year, hence there are total 20 people in the village.

 

Alternatively :  ( n x 42 ) + 20 = ( n x 43 )

                          => n=20

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Filed Under: Average

14 17647
Q:

If a number 657423547X46 is divisible by 11, then find the value of X.

 

A) 7 B) 9
C) 8 D) 6
 
Answer & Explanation Answer: B) 9

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

1 17637
Q:

With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 35 km/hr, it is late by 15 minutes. Find the length of the total journey?

A) 70 kms B) 60 kms
C) 45 kms D) 30 kms
 
Answer & Explanation Answer: A) 70 kms

Explanation:

Let the time taken by train be 't' hrs.

Then,

40t = 35t + 1560

40t = 35t + 35/4

t = 7/4 hrs

Therefore, Required length of the total journey d = s x t

= 40 x 7/4

= 70 kms.

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Filed Under: Time and Distance
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22 17625
Q:

Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?

A) Rs.2010 B) Rs.2200
C) Rs.2000 D) Rs.2100
 
Answer & Explanation Answer: C) Rs.2000

Explanation:

Let money invested by Raghu = Rs. x
Money invested by Trishul = 9/10 x = 0.9x
Money invested by Vishal = 9/10x * 110/100 = 0.99x
Also, x+0.9x+0.99x = 5780
= x= 5780/2.89 = 2000

Therefore, amount invested by Raghu is Rs. 2000.

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Filed Under: Partnership
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12 17620
Q:

4 kg of a metal contains 1/5 copper and rest in Zinc. Another 5 kg of metal contains 1/6 copper and rest in Zinc.The ratio of Copper and Zinc  into the mixture of these two metals:

A) 49 : 221 B) 39:231
C) 94:181 D) None of these
 
Answer & Explanation Answer: A) 49 : 221

Explanation:

Copper in 4 kg = 4/5 kg          and      Zinc in 4 kg = 4 x (4/5) kg

 

Copper in 5 kg = 5/6 kg          and      Zinc in 5 kg = 5 x (5/6) kg

 

Therefore, Copper in mixture = 45+56=4930 kg

 

and  Zinc in the mixture = 165+256=22130kg

 

Therefore the required ratio = 49 : 221

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Filed Under: Alligation or Mixture

30 17617