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

- {(1764)^1/2 +700/25}% of 450 = ?% of 750
3542302549Option B

{(1764)^1/2 +700/25}% of 450 = ?% of 750

=> ?% of 750 = (42+28)% of 450

=> ?*7.5 = 0.7*450

=> ? = 42 - {450/18 *25 + 35^2 – 25% of 488} = ?^3
1814201210Option D

{450/18 *25 + 35^2 – 25% of 488} = ?^3

=>? ^3 = 25*25+1225 – 122

=> ? ^3 = 625 + 1225 – 122

=> ? = 12 - 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.Both together necessary to answer.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. - 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.Both together necessary to answer.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 - 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.Both together necessary to answer.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. - 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 days25 days24 days18 days20 daysOption 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 - 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.
600300400200500Option 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 - 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. 10000Rs. 12000Rs. 11000Rs. 12500Rs. 10500Option 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 - 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. - 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.
1518272025Option 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

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