Quantitative Analysis Test

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Quantitative Analysis Test - 2

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Question 1
1 / -0

Directions For Questions

Read the given table carefully and answer the following questions.

The table given below shows the sum of money borrowed by Ajay, Amar, Arun, Aman, and Anil on a certain rate for a certain period of time either on simple interest or compound interest. Some data are missing.

...view full instructions

The average amount borrowed by all five persons is Rs. 12000 and sum of the money borrowed by Ajay and Aman are in ratio 3 ∶ 2 then find the average of the sum of money borrowed by Ajay and Aman together?

A
Rs. 7500

B
Rs. 7200

C
Rs. 5500

D
Rs. 9500

Solution

Sum of money borrowed by Ajay and Aman are in ratio 3 ∶ 2

Let the ratio be x.

According to the question,
Question 2
1 / -0

Directions For Questions

Read the given table carefully and answer the following questions.

The table given below shows the sum of money borrowed by Ajay, Amar, Arun, Aman, and Anil on a certain rate for a certain period of time either on simple interest or compound interest. Some data are missing.

...view full instructions

Amar and Aman borrowed the sum of money on simple interest. Amar borrowed 25% less amount than that by Aman then find the rate of interest at which Aman borrowed the money.

A
2.5%

B
3.6%

C
4.5%

D
1.2%

Solution
Question 3
1 / -0

Directions For Questions

Read the given table carefully and answer the following questions.

The table given below shows the sum of money borrowed by Ajay, Amar, Arun, Aman, and Anil on a certain rate for a certain period of time either on simple interest or compound interest. Some data are missing.

...view full instructions

The ratio of Simple interest paid by Arun and Anil is 3 ∶ 4. Find the rate of interest paid by Arun if the time period for both Arun and Anil is the same?

A
11.50%

B
10.75%

C
11.25%

D
9.75%

Solution

The principal amount borrowed by Arun is Rs. 12000 and he paid Rs. 900 as a simple interest

And Principal amount borrowed by Anil is Rs. 18000 at a 10% rate of interest.

Ratio of Simple interest paid by Arun to Anil is 3 ∶ 4

Let the ratio be x.

⇒ 3x = 900

⇒ x = 300

Interest paid by Anil = 4x = 4 × 300 = Rs. 1200

We know that,
Question 4
1 / -0

There is an unlimited number of identical balls of three different colours. How many arrangements of almost 7 ball in a row can be made by using them?

A
2180

B
343

C
399

D
3279

Solution

Given, the question we have an unlimited number of identical balls of three different colours.

Now,

Therefore, the number of arrangements of almost 7 balls in a row that can be made (n) =

As we can see it is in GP. We will use GP because we can see here that there is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed number.
Question 5
1 / -0

The mean of five observations is 5 and their variance is 9.20. If three of the given five observations are 1,3 and 8 , then a ratio of the other two observations is:

A
6 : 7

B
10 : 3

C
4 : 9

D
5 : 8

Solution
Question 6
1 / -0

Two inlet pipes A and B together can fill a tank in 24 min, and it takes 6 min more when one leak is developed in the tank. Find the time taken by leak alone to empty the tank.

A
3 hours

B
4 hours

C
2.5 hours

D
2 hours

Solution

Given:

Two inlet pipes A and B together can fill a tank in 24 min

Two inlet pipes A and B together (with leak) can fill a tank in 30 min

CONCEPT:

Pipe and cistern

FORMULA USED:

Time taken by inlet pipes A, B and outlet pipe C together to fill the tank:
Question 7
1 / -0

Sum of two numbers is 2750. If the first number increases by 10% and second number increases by 20% , then their sum becomes 3170. Find the positive difference between the two numbers.

A
150

B
145

C
160

D
130

Solution

Given:

Sum of 2 numbers = 2750

If the first number increases by 10% and second number increases by 20%, then their sum becomes 3170

Let one of the numbers = x
Question 8
1 / -0

Directions For Questions

Study the following graph carefully to answer the given questions.

Time taken by the pipes to fill a tank/cistern (hours/minutes)

...view full instructions

A waste pipe, W can carry off 12 litre of water per minute. If all the pipes I, J and W are opened when the tank is full and it takes one hour to empty the tank. Find the capacity of the tank.

A
30

B
45

C
60

D
75

Solution
Question 9
1 / -0

Directions For Questions

Study the following graph carefully to answer the given questions.

Time taken by the pipes to fill a tank/cistern (hours/minutes)

...view full instructions

A large cistern can be filled by two pipes P and Q. How many minutes will it take to fill the Cistern from an empty state if Q is used for half the time and P and Q fill it together for the other half?

A
6.5 minutes

B
7.5 minutes

C
8.5 minutes

D
9.5 minutes

Solution
Question 10
1 / -0

Directions For Questions

Study the following graph carefully to answer the given questions.

Time taken by the pipes to fill a tank/cistern (hours/minutes)

...view full instructions

Two pipes, A and B are opened simultaneously and it is found that due to the leakage in the bottom, 17/7 minutes are taken extra to fill the tank. If the tank is full, in what approximate time would the leak empty it?

A
27 minutes

B
32 minutes

C
36 minutes

D
36 minutes

Solution