Lecture 3

Quantitative Aptitude

1. A and B together can complete a task in 36/5 days. The respective ratio of efficiency of A and B is 3 : 2. How many days will A alone take to complete the work ?

(1) 10

(2) 12

(3) 15

(4) 16

(5) 8

2. The simple interest on a cer­tain sum of money for 3 years at the rate of 8% per annum is Z 960. What would be the com­pound interest (compounded annually) on the same money for 2 years at the rate of 10% per annum?

(1) Z 720

(2) Z 800

(3) Z 840

(4) Z 920

(5) Z 990

3. A train passes a man on the platform in 4 seconds and the platform in 9 seconds. If the length of the platform is 135 metres, what is the length of the train ?

(1) 90 metre

(2) 92 metre

(3) 96 metre

(4) 102 metre

(5) 108 metre

Directions (48) : What will come in place of the question mark (?) in the following number series ?

4. 7, 6, 10, 27, 104,?

(1) 505

(2) 515

(3) 520

(4) 525

(5) 530

5. 13, 15, 20, 30, 47, ?

(1) 65

(2) 69

(3) 71

(4) 73

(5) 73

6. 18,9,9,13.5 ,?,67.5

(1) 39.5

(2) 36

(3) 32.5

(4) 30

(5)27

7. 2, 7, 15, 29, 52, ?

(1) 87

(2) 85

(3) 83

(4) 82

(5) 81

8. 11, 30, 68, 125, ?, 296

(1) 200

(2) 201

(3) 202

(4) 203

(5) 204

9. A boat covers 108 km upstream in 12 hours. The stream’s speed is 2/5 th of the boat’s speed in still water. If the speed of the stream increases by 50%, how much distance can the boat cover downstream in 5 hours ?

(1) 100 km.

(2) 110 km.

(3) 120 km.

(4) 125 km.

(5) 130 km.

Directions (1-5) Rearrange the given six sentences/group of sen­tences (A), (B), (C), (D), (E) and (F) in a proper sequence so as to form a meaningful paragraph and then answer the given questions.

A. And after a decade-old war in the press, we find the court ‘dis­charging’ the accused.

B. Who can pat. a DIG except the Home Minister.

C. But here the DIG. D.G. Van­zara was himself involved.

D. The boss, a DIG no less, will pat your back.

E. Get information, know the car or of the bus terrorist is trav­elling in, drag him out, make him ‘sing’ and shoot, the blight­

F. Encounters are safe bets for risk-averse policemen.

1. Which of the following should be the FIRST sentence after the rearrangement?

(1) A

(2) F

(3) D

(4) E

(5) B

2. Which of the following should be the SIXTH (LAST) sentence after the rearrangement?

(1) A

(2) B

(3) C

(4) D

(5) E

3. Which of the following shr.;_iir be the SECOND sentence ter the rearrangement?

(1) A

(2) B

(3) C

(4) E

(5) F

4. Which of the following sr be the THIRD sentence the rearrangement?

(1) A

(2) B

(3) C

(4) D

(5) E

5. Which of the following be the FIFTH sentence the rearrangement?

(1) A

(2) B

(3) C

(4) D

(5) F

Directions (6-10) : In the following questions, one part of the  sentence may have an error. Find out which part of the sentence has an error and choose the option corresponding to it. If the sentence is free from error, choose the “No error” option.

6. In two postings in (1)/ Chambal area (2)/ I have had Occasion (3)/ to involving in counters. (4)/ No error (5)

7.  The Five-day visit by (1)/ Nepal’s Prime Minister is an opportunity for (2)/ India to take a clear-eyed look (3)/ for relations among the two countries (4)/ No error (5)

8.Under Article 340 of the constitution(1)/ the president would be recommend to constituting (2)/ a commission that would examine (3)/ the central list of OBC and sub-categorise it. (4)/ No error (5)

9. The right to privacy question ­(1)/ was referred to the nine-judge bench (2)/ after a clutch of petitions challenged an  Aadhaar Act (3)/ came up be­fore the five-judge bench.(4)/ No error (5)

10 Nilekani, along with some other founders (1)/ stepped out on a road show (2)/ to restore in vestor confidence globally in  the wake of the (3)/ controversial churn at the top of the company. (4)/ No error (5)

Reasoning

Directions (1-5) : Read the fol­lowing information carefully and answer the questions given below :

Eight persons A, B, C, D, E, F, G and H are sitting around a circular ta­ble but not necessarily in the some order. Some people face the centre while some face outword (i.e, in a di­rection opposite to the centre). They work in an organisation in different departments — H R D, Finance, Man­agement and Programming. Two per­sons work in each department.

Note : Same direction means if one person faces the centre then other person also faces the centre and if one person is facing outward then the oth­er person is also facing outward Op­posite directions means if one per­son faces the centre then the other person faces outword and vice-versa.

  • E and G are facing in opposite directions and work in the some
  • C sits third to the left of H who works in management and both face the same direction.
  • D and F are immediate neigh­bours of H.
  • Immediate neighbour of E is not facing outward.
  • The person sitting immediate left of F is not facing centre. F is sit­ting second to the right of C.
  • G is sitting to immediate right of B who works in HRD.
  • The person who works in man­agement is the immediate neigh- • bour of the person working in
  • C and B are not facing the same direction but C is the immediate neighbour of E who is sitting fourth to the left of G. .
  • The persons working in finance department are facing the oppo­site directions.
  • The persons working in HRD sit adjacently but face the opposite
  • D is not facing the centre and he works in programming •

1. How many persons face the cen­tre ?

(1) 3

(2) 5

(3) 4

(4) cannot be determined

(5) None of these

2. Which one` of the following pair of immediate neighbours of the person working in programming is correct ?

(1) H, Management

(2) E, Finance

(3) H, HRD

(4) C, Management

(5) None of these

3. Who among the followings is on the immediate right of the per­son working in the finance de­partment.

(1) B

(2) E

(3) A

(4) D

(5) None of these

4. In which of the following depart­ments does A work ?

(1) Either programming or man­agement

(2) Either finance or manage­ment

(3) Management

(4) Cannot be determined

(5) None of these

5. If D and F exchange their plac­es, then who of the following is on the immediate left of G ?

(1) A

(2) F

(3) D

(4) H

(5) None of these