Directions (1-5): **In the following questions two quantities are given for each question. Compare the numeric value of both the quantities and answers accordingly.**

Q1. Quantity I: How many litres of water will flow through a pipe of cross-section area 10 cm² in 1 ½ min if the rate of flow of water through the pipe is 20 cm/sec.

Quantity II: A mixture of milk and water has 60% milk. Another mixture has 25% water. What quantity of 60% milk content is mixed with 9 liters of 25% milk content to prepare a new mixture of 65% milk content?

(a) Quantity I > Quantity II

(b) Quantity II > Quantity I

(c) Quantity I ≥ Quantity II

(d) Quantity II ≥ Quantity I

(e) Quantity I = Quantity II or relation can’t be established.

Q2. Quantity I : The ratio of age of Heena 7 years ago to that of Meena 12 years ago was 5 : 6. And the ratio of age of Meena and Heena 8 years hence will be 5 : 4. Then find the average of their present age.

Quantity II: The average age of 6 students in a school is 24.5 years. When a new student joined them, the average is increased by 1.5 years. Again, when another new student is included the average is further increased by 2.5 years. Find the average of the age of two new students.

(a) Quantity I > Quantity II

(b) Quantity II > Quantity I

(c) Quantity I ≥ Quantity II

(d) Quantity II ≥ Quantity I

(e) Quantity I = Quantity II or relation can’t be established.

Q3. Quantity I: Gopal saves 12% of his income. If his income is increased by 20% and expenditure increases by 1/8 th of the original expenditure. Then find the increment/decrement in his savings is what percent of his initial income.

Quantity II: The compound interest received on Rs. 40,000 in 2 years is Rs. 7961. Then find the rate of interest (per annum).

(a) Quantity I > Quantity II

(b) Quantity II > Quantity I

(c) Quantity I ≥ Quantity II

(d) Quantity II ≥ Quantity I

(e) Quantity I = Quantity II or relation can’t be established.

Q4. Quantity I: In a bag, there are 6 green and 4 red marbels, three marbels are taken one after the other. Find the probability of all three marbels being red if marbels taken are not replaced ?

Quantity II: An integer is choosen at random from the first 300 integers. What is the probability that this number will be divisible by 28.

(a) Quantity I > Quantity II

(b) Quantity II > Quantity I

(c) Quantity I ≥ Quantity II

(d) Quantity II ≥ Quantity I

(e) Quantity I = Quantity II or relation can’t be established.

Q5. Quantity I: Bhavya alone can do ⅔rd of a work in 12 days while Sambhu alone can do 3/4 th of the work in 18 days. Find the time taken by both to finish the same job.

QuantityII: 12 men can complete a work in 11 days. 5 days after they had started working, 4 more men joined them. Find the total time in which work will complete.

(a) Quantity I > Quantity II

(b) Quantity II > Quantity I

(c) Quantity I ≥ Quantity II

(d) Quantity II ≥ Quantity I

(e) Quantity I = Quantity II or relation can’t be established.

Q7. A, B & C can do a piece of work in 20 days, 40 days & 80 days respectively. All three start work simultaneously and after two days C left the work, after another two days B also left the work. Find the percentage of work done by A, If A working alone and complete the remaining work?

(a) 62.5%

(b) 85%

(c) 87%

(d) 87.5%

(e) 90%

Q8. A shopkeeper allows a two successive discount of 18% and 15% on a trouser. If he allows only a single discount of 27.5% on it, he will have a more profit of Rs. 35 then find the MRP of trouser?

(a) Rs. 1250

(b) Rs. 1275

(c) Rs. 1185

(d) Rs. 1215

(e) Rs. 1300

Q10. There are 6 red balls, 4 blue and X black balls in a bag. The probability of choosing exactly one ball red if two balls are drawn from the bag is 18/35. Find the value of X.

(a) 3

(b) 8

(c) 4

(d) 6

(e) 5

Q11. How many even numbers of 5 digits can be formed from digits 0 to 9 if repetition of digits is allowed?

(a) 45,000

(b) 48,000

(c) 36,000

(d) 54,000

(e) 20,000

Q13. Length of the first park is 24 m and ratio between magnitude of area to that of perimeter of this park is 36:7. Breadth of second park is 14 m and ratio between magnitude of area to that of perimeter of this park is 63 : 16. If total cost of fencing first park is Rs. 2100, then find the cost of fencing second park if cost of fencing per meter is same for both the parks?

(a) 1200 Rs.

(b) 1500 Rs.

(c) 1000 Rs.

(d) 1800 Rs.

(e) 1600 Rs.

Q14. Veer & Adarsh together can do a piece of work in 24 days and Divyaraj who is half efficient of Veer joined both. If all three start to work they will complete entire work in 20 days, then find how many days are required to complete the work if Veer and Divyaraj work together?

(a) 35 days

(b) 32 days

(c) 40 days

(d) 48 days

(e) 54 days

Q15. A tank has four inlet pipes. Through the first three inlets pipes opened together, tank can be filled in 12 min and through the last three inlets, tank can be filled in 15 minutes and through the first and last inlets, tank can be filled in 24 minutes. Then find the time taken by last pipe to fill half of the tank ?

(a) 80 min

(b) 60 min

(c) 40 min

(d) 20 min

(e) 30 min

Q16. There are 10 pens and 6 pencils in a box in which three are defective. Find the probability that one of them is pencil and two are pen ?

(a) 1/2

(b) None of these

(c) 27/57

(d) 27/56

(e) 3/5

Q17. How many 3 digit number can be formed by 0, 1, 2, 5, 7, 6, 9. Which is divisible by 5 and none of digit is repeated ?

(a) 55

(b) 58

(c) 68

(d) 54

(e) 52

Q18. (a+12) men can do a work in 12 days while (a+2) men take 6 more days to do that work then find value of ‘a’?

(a) 24

(b) 18

(c) 20

(d) 12

(e) 15

Q19. A cylinder has circular base of circumference 66 cm and its height is twice of its base radius. Then find ratio of its curved surface area to its total surface area?

(a) 3:5

(b) 1:3

(c) None of these

(d) 3:2

(e) 3:4

Q20. A person marks up his scooter by 80% on C.P. and after allowing two successive discounts of 25% and 20% he sold it and realized that after allowing a single discount of ‘z’% he will have 90% more profit. Find the value of ‘z’?

(a) 36%

(b) 40%

(c) 35%

(d) 37.5%

(e) 42.5%

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