## Mini Mock

(Set – 12)

**1) The number of days taken by M to complete the task is half that taken by N while working alone and the number of days taken by P to complete the task alone is 30 days. If all three M, N and P work together, then in how many days can the task be completed?**

Statement l: The average of number of days taken by M, N and P to complete the task is 50 days

while working alone. Statement Il: While working at twice his original speed, N can complete the

task in 40 days.

a) The data in statement I alone are sufficient to answer the question, while the data in statement

II alone are not sufficient to answer the question.

b) The data in statement II alone are sufficient to answer the question, while the data in statement

I alone are not sufficient to answer the question.

c) The data either in statement I alone or in statement II alone are sufficient to answer the question.

d) The data given in both statements I and Il together are not sufficient to answer the question.

e) The data in both statements I and II together are necessary to answer the question.

**2) A, B and C started a business by investing Rs. 90000, Rs. 120000 and Rs. 40000 respectively. A ****and B introduced total additional capital of Rs. 60000 at the end of the 9th month. What was the ****profit sharing ratio between A, B and C at the end of a year?**

Statement l: A’s additional investment was twice that of B’s additional investment.

Statement II: A’s additional investment was more than 150% of B’s additional investment.

a) The data in statement I alone are sufficient to answer the question, while the data in statement

II alone are not sufficient to answer the question.

b) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

c) The data either in statement I alone or in statement II alone are sufficient to answer the question.

d) The data given in both statements I and Il together are not sufficient to answer the question.

e) The data in both statements I and II together are necessary to answer the question

**3) A train crosses a platform in 24 sec. Find out the length of the platform.**

A. Ratio between the lengths of a tunnel and the train is 7 : 5.

B. The train crosses the tunnel in 18 sec.

C. The speed of the train is 54 km/hr.

(a) Only A and B together

(b) Only B and C together

(c) Only A and C together

(d) Questions can’t be answered even after using all the information

(e) All statements are required

**4) M deposited Rs. 60000 at simple interest for 5 years and N deposited Rs. 100000 at compound ****interest for 2 years. What was the rate of compound interest?**

Statement l: The average of rate of simple and compound interest is 8%.

Statement Il: The sum of the accumulated amounts for M and N was Rs. 199000.

a) The data in statement I alone are sufficient to answer the question, while the data in statement

II alone are not sufficient to answer the question.

b) The data in statement II alone are sufficient to answer the question, while the data in statement

I alone are not sufficient to answer the question.

c) The data either in statement I alone or in statement II alone are sufficient to answer the question.

d) The data given in both statements I and Il together are not sufficient to answer the question.

e) The data in both statements I and II together are necessary to answer the question.

**5) What is the selling price of the sofa set if no discount is offered?**

I. Profit earned was 15%

II. Had 12% discount been offered on selling price the profit would have been Rs. 1500.

III. Cost price is Rs. 25000.

(a) Any two of the three

(b) Only I & II

(c) Only I I & III

(d) Only II & III

(e) None of these

**6) A man can row at a speed of 6km/h in still water and the speed of water current is 3 km/h. If he rows to a place downstream during night, from there covers a distance upstream ahead of him in the morning and he has to pay Rs. 15 per kilometer to row**

** through the river, then what is the amount that he ****pays?**

(a) Rs. 1622

(b) Rs. 1524

(c) Rs. 1422

(d) Rs. 1545

(e) None of these

**7) A boat travels 36 km downstream in the morning and returns against the current at night. The speed of water current is what percent of the speed of boat in still water?**

(a) 9.91%

(b) 5.62%

(c) 4.95%

(d) 13.53%

(e) 9.58%

**8) A can row a boat in still water at 8 km/hr. If speed of water current is 3/4th of the speed of boat in still water, and he rows downstream in noon, then what was the distance between the initial point and the place he travelled to?**

(a) 9.6 km

(b) 14.4 km

(c) 67.2 km

(d) 28 km

(e) None of these

**9) The ratio of the speed of the boat to that of current of water is 42 : 5. If the boat goes downstream during early morning, then it will come back in (approximately)?**

(a) 8.99 h

(b) 7.11 h

(c) 9.88 h

(d) 6.12 h

(e) 6.27 h

**10) A motorboat covers a certain distance downstream in evening and returns covering the same distance upstream on the next day in early morning. If the speed of the stream is 6 km/hr, then what was the speed of motorboat in still water?**

(a) 56 km/h

(b) 162 km/h

(c) 146 km/h

(d) 156 km/h

(e) None of these