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**QUANTITATIVE APTITUDE**

**1).**A boat running downstream covers a distance of 20 km in 2 hours. While coming back the boat takes 4 hours to cover the same distance. What is the speed of the boat in still water in kmph?

a) 6.5

b) 7.5

c) 8.5

d) 9

e) None of these

**2).**A, B and C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the twice the same amount as before while B and C withdrew half of their investment. The ratio of their profits at the end of the year is?

a) 4 : 3 : 5

b) 5 : 6 : 10

c) 6 : 5 : 10

d) 10 : 5 : 6

e) none of these

**3).**A and B can do a piece of work in 30 days while B and C can do the same work in 24 days and C and A can do it in 20 days. They all work together for 10 days, after that B and C leave, how many more days will A take to finish the remaining work?

a) 18

b) 24

c) 30

d) 36

e) none of these

**4).**A sum of money is to be distributed among A, B and C in the ratio of 6 : 19 : 7. If C gives Rs. 200 from his share to B, then the ratio of A, B and C becomes 3 : 10 : 3. What is the total sum?

a) Rs.6400

b) Rs.12800

c) Rs.3200

d) data inadequate

e) None of these

**5).**In a team there are 240 members (males and females). Two-third of them are males. Fifteen percent of males are graduates. Remaining males are non-graduates. Three-fourth of the females are graduates. Remaining females are non-graduates. What is the ratio between the total number of males and the number of females who are non-graduates?

a) 6 : 1

b) 8 : 1

c) 8 : 3

d) 5 : 2

e) 7 : 2

**REASONING**

**Directions (6 – 10): Study the following information carefully and answer the given questions.**

· Raju, Ram, Rita and Reena are 4 students of different classroom coaching centres of ABC, a leading classroom coaching centre for IAS aspirants.

· Each belongs to a different state, ie UP, Uttarakhand, Bihar and Odisha, but not necessarily in the same order.

· ABC arranged an All India Mock-Test series for all the classroom coaching centres students of ABC in 4 cities Bangalore, Kolkata, Dehradun and Chennai.

· The students Raju, Ram, Rita and Reena appeared for the test series in different cities. When the results were declared they got first to fourth position in All-India ranking. They were students of ABC, ie Lucknow, Delhi, Patna and Cuttack, but not necessarily in the same order.

· The one who appeared at the Bangalore test centre got the 4th position in All-India ranking. But he is not Ram. The one who appeared at Chennai for the test got the first position. The one who belongs to Uttarakhand got the third position, while the one who studied at the Lucknow centre got the second position in All-India ranking.

· Raju and Ram studied neither at the Lucknow centre not at Delhi. They appeared for test neither at Kolkata nor at Dehradun. They belong neither to Odisha nor to Uttarakhand.

· The one who studied at the Patna centre does not belong to Bihar. The one who belongs to Uttarakhand is not Reena. The one who studied in Delhi did not appear for the test at Kolkata centre. The one who belongs to UP did not appear at Bangalore centre.

**6).**In which of the following cities did Raju appear for the test?

a) Bangalore

b) Dehradun

c) Chennai

d) Kolkata

e) Data inadequate

**7).**Which of the following combinations is definitely true in respect of the given information?

a) Ram – Dehradun – 2

b) Rita – Bangalore – 4

c) Reena – Kolkata – 3

d) Raju – Chennai – 1

e) None is true

**8).**Ram belongs to which of the following states?

a) UP

b) Bihar

c) Odisha

d) Can’t say

e) None of these

**9).**Who got the second position in the All-India ranking?

a) Ram

b) Rita

c) Raju

d) Reena

e) Can’t say

**10).**Which of the following information is not true regarding Rita?

a) Rita got 3rd position in All-India ranking.

b) Rita belongs to UP.

c) Rita appeared for the test at the Dehradun centre.

d) She was a student of Delhi centre.

e) None of these

**ENGLISH**

**Directions (11 – 15):**Read each sentence to find out whether there is any grammatical error in it. The error, if any, will be in one part of the sentence. The number of that part is the answer. If there is no error, the answer is 5). (Ignore errors of punctuation, if any.)

**11).**A) If anyone happens / B) to call while I / C) am out, please ask them / D) to leave a message for me. / 5) No error

**12).**A) These kind of shoes / B) seem to be expensive / C) but they are relatively / D) easy to care for. / 5) No error

**13).**A) He has had / B) an active career / C) writing poetry and / D) reporting for a newspaper. / E) No error

**14).**A) She held something / B) at her side / C) which was hiding / D) by the folds of her dress. / E) No error

**15).**A) Whomever / B) we think deserve / C) the award will / D) certainly get it. / E) No error

__Solutions:__**1. B)**rate of downstream = 20/2 = 10kmph

Rate of upstream = 20/4 = 5kmph

Speed of boat in still water = ½(10 + 5) = 15/2 = 7.5 kmph

**2. B)**Let initial investment be x, 3x, 5x. Then,

A : B : C = ((x*4) + (2x*8)) : ((3x*4) + (3x/2*8)) : ((5x*4) + (5x/2*8) = 20x : 24x : 40x

= 5 : 6 : 10

**3. A)**2 (A + B + C)’s 1 day work = 1/30 + 1/24 + 1/20 = 1/8

A + B + C’s 1 day work = 1/16

Work done by A, B and C in 10 days = 10/16 = 5/8

Remaining work = 1 – 5/8 = 3/8

A’s one day work = 1/16 – 1/24 = 1/48

1/48 work is done by A in 1 day

So 3/8 work will be done in – 48 * (3/8) = 18 days

**4. A)**Let the total amount be x

Now, A’s share = 6/32x, B’s share = 19/32x, C’s share = 7/32x

After C gives Rs. 200 to B, New share of B = 10/16x (Ratio = 3 : 10 : 3)

As per question, 19/32x + 200 = 10/16x, x = 6400

**5. B)**In a team there are 240 members (males and females).

Male = 240 * 283 = 160; Female = 80

Male graduate = 15/100 * 160 = 24

Male Non-Graduates = 160 – 24 = 136

Female Graduates = ¾ * 80 = 60

Female non – graduates = 80 – 60 = 20

Therefore, required ratio = 160 : 20 = 8 : 1

**(6 – 10):**

**6. A) 7. E) 8. A) 9. D) 10. B)**

**11. C)**“please ask him”

**12. A)**“these kind of shoes”

**13. E)**

**14. C)**“which was hidden”

**15. E)**“whoever”

/ 5. Reviews

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