# Quant Test for IBPS Clerk 2018 Main Exam Set – 7

Directions(1-2): What will come in place of question mark “?” in the following questions.

1. {(1764)^1/2 +700/25}% of 450 = ?% of 750
35
42
30
25
49
Option B
{(1764)^1/2 +700/25}% of 450 = ?% of 750
=> ?% of 750 = (42+28)% of 450
=> ?*7.5 = 0.7*450
=> ? = 42

2. {450/18 *25 + 35^2 – 25% of 488} = ?^3
18
14
20
12
10
Option D
{450/18 *25 + 35^2 – 25% of 488} = ?^3
=>? ^3 = 25*25+1225 – 122
=> ? ^3 = 625 + 1225 – 122
=> ? = 12

3. Directions(3-5): Solve statements individually and choose a required option.

4. A,B and C started a business together with initial investment Rs. 24000, Rs. 8000 and Rs. x resp. Find the profit share of A after two years.
Statement I: C increases the investment in the second year by 25% and the total investment of C i two years combined is Rs. (2x+4000). Total profit earned in 2 years is Rs. 4675.
Statement II: C increases the investment by 25% and gets Rs. 561 profit more than A.

Statement II alone is sufficient.
Either Statement I and Statement II is sufficient.
Neither Statement I nor Statement II is sufficient.
Statement I alone is sufficient.
Option D
Statement I: Total investment of A, B and C in two years = Rs. 48000,Rs.16000 and Rs.(2x+4000)
Initial investment of C = 4000/0.25 = Rs. 16000
Total investment of C in two years = Rs. 36000 Ratio of profit of share of A:B:C = 48000:16000:36000 = 12:4:9
Required Profit share of A = (12/25)*4675 = Rs. 2244
Statement II: Total investment of A, B and C in two years = Rs. 48000, Rs. 16000 and Rs. 2.25x
This statement alone is not sufficient to answer.

5. There are three types of coins of different denominations i.e (one rupee coin , two rupee coin and five rupee coin) in a bag. Find the probability of drawing two five rupee coins from the bag. Statement I: There are 5 one-rupee coins in the bag and the probability of drawing a one-rupee coin from the bag is 1/7.
Statement II: The ratio of the number of one-rupee coins, two-rupee coins and five-rupee coins is 1:2:4 resp.

Statement II alone is sufficient.
Neither Statement I nor Statement II is sufficient.
Statement I alone is sufficient.
Either Statement I and Statement II is sufficient.
Option E
Statement I: Total number of coins in the bag = 5*7 = 35
Since, we don’t know the number of five – rupee coins in the bag.
So, this statement is not sufficient to answer.
Statement II: We don’t know the total number of coins in the bag.
So, this statement alone is not sufficient to answer.
Adding I and II, we get
Number of one-rupee coins in the bag = 5
Total number of coins in the bag = 5*7 = 35
Number of five-rupee coins in the bag = (4/7)*35 = 20
Required Probability = 20C2/35C2 = 38/119

6. A man is running at the speed of 5 m/s in the same direction as that of the moving train. Find the length of the train.
Statement I: If the train was moving in the opposite direction towards the man, it would have taken 14.4 seconds to cross the man.
Statement II: The train crosses the man in 24 seconds and the ratio of the speed of man to speed of train is 1:4.

Neither Statement I nor Statement II is sufficient.
Statement I alone is sufficient.
Statement II alone is sufficient.
Either Statement I and Statement II is sufficient.
Option D
Statement I: Let the speed of the train and length of the train be x m/s and y m resp. y = (5+x)*14.4
This statement alone is not sufficient to answer.
Statement II: Let the length of the train be L m.
Speed of the man = 5 m/s
Speed of the train = 5*4 =20 m/s
L = (20-5)*24 L = 360 m
This statement is alone sufficient to answer.

7. A takes 24 hours more than B to complete the work And takes 32 hours more than C to complete the work. The time taken by A and B together to complete the work is same as the time taken by C alone to complete the work. Find the time taken by B alone to complete the work.
29 days
25 days
24 days
18 days
20 days
Option C
Let time taken by C alone to complete the work be x.
Then A will be = (x+32) days And B = (x+32-24) = (x+8) days
Now, 1/(x+32)+1/(x+8) = x
=> x^2 + 40x + 256 = x(2x+40)
=> x^2 = 256
=> x = 16
Hence , time taken by B to complete the work = 16+8 = 24 days

8. Ashish bought a cycle for Rs. 1200, spends some amount on its maintenance marks it up by 20% above the cost price including its maintenance and sells it to Anita at a discount of 10%. Anita spends same amount on its design as spent by Ashish on its maintenance and sells it for Rs. 2400 at a profit of 25%. Find the amount spent by Ashish on cycle’s maintenance.
600
300
400
200
500
Option B
Let the amount spent on cycle’s maintenance be Rs.x .
SP of cycle by Ashish = (1200+x)*1.2*0.9 = Rs. 1.08(1200+x)
Amount spent by Anita on cycle’s design = Rs.x
Now, {1.08*(1200+x)+x}*1.25 = 2400
=>1296 + 1.08x = 1920 – x
=>x = 300

9. Rohan invested equal amounts in two different schemes A and B. Scheme A is offering simple interest at the rate of 20% per annum and Scheme B is offering interest at the rate of 20% compounded annually. If the difference between the interest obtained from these two schemes after 2 years is Rs. 420 , then find the amount invested by Rohan.
Rs. 10000
Rs. 12000
Rs. 11000
Rs. 12500
Rs. 10500
Option E
Let amount invested in each scheme be Rs. x.
Simple interest obtained from scheme A = x*20% *2 = Rs. 0.4x
Compound interest obtained from scheme B = x*[1+(20/100)]^2 – x = Rs. 0.44x
Now, 0.44x – 0.4x= 420
=> x = Rs. 10500

10. The average age of three friends X , Y and Z is 28 years. The ratio of age of X and Y is 3:4 resp. If the age of Z is 4 years less than the age of Y. Find the age of Z.
30 years.
32 years.
20 years.
24 years.
28 years.
Option E
Let the age of X and Y be 3x and 4x resp.
Age of Z = (4x-4) years Therefore, 3x+4x+4x -4 = 28*3
=> x = 8
Hence, the age of Z = 4*8 – 4 = 28 years.

11. A vessel contains 480 litres of mixture of milk and water in the ratio of 5:3 resp. If (x+35) litres of water is added to the vessel then the ratio of milk to water in the vessel becomes 5:4, find the value of x.
15
18
27
20
25
Option E
Initially quantity of milk and water in the vessel
= 300 l and 180 l resp.
Now, 300/[108+(x+35)] = 5/4
=> 60*4 = 215+x
=>x = 25