Tuesday, January 27, 2015

QUANT


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QUANT

1) In a match, awards are given to each of 11 members of the team and a trophy to the team. In all winning team gets 2.75 kg weight awards. If the weight of match winning trophy is 1.275 kg, what is the weight of the award given to each player?

a)200 grams (b)150 grams (c)124 grams (d)134 grams

ANS : (D) 134 grams

2) A train runs at a speed of 42 m/s and takes 35 seconds to pass a tunnel. After travelling some distance, it takes 15 seconds to pass a pole. What is the length of the tunnel?

a) 162 m (b) 630 m (c) 840 m (d )240 m

ANS: (C) 840 m

3) A car engine is half filled and holds 15 litres of petrol. What fraction of the engine is full if it contains 18 litres of pertrol?

a) 1/4 (b) 2/3 (c) 2/5 (d)3/5

ANS: (D) 3/5

4) Write 0.555.... as a fraction.

 

a) 1/5 (b) 5/9 (c) 1/3 (d) 4/5

ANS: (B) 5/9

5) A number when divided by 5 leaves remainder 2. When the square of the number is divided by 5, the remainder will be:

a) 4 (b) 2 (c) 1 (d) 3

ANS: (A) 4

6) A teacher asks the student to solve for x, where the given expression is: (a/b)^(x-1) = (b/a)^(x-3) Find x.

a)1 (b) 2 (c) 1/2 (d) 4

ANS: (b) 2

7) What is the smallest number, which when divided by 7, 18, 56 and 36, leaves a remainder zero?

a) 504 (b) 392 (c) 390 (d) 1012

ANS: (A) 504

8) If an integer "k" is divisible by 2, 5 and 13, what is the next largest number that is divisible by all the three given numbers?

(a) 2k (b) k + 13 (c) 2k + 13 (c) 2k + 65 (d) k+130

ANS: (D) k+130

9) On an average, a content developer can develop 6 questions in an hour. Resource manager wants to complete the project of 2400 questions in 20 hours. How many developers should he take in his team?

(a) 30 (b) 20 (c) 40 (d)10

ANS: (B) 20

QUANT

10) Supriya runs a marathon race in 50 minutes at an average speed of 48 km/hour. In order to set a national record, she needs to win the race in 40 minutes. Considering that her speed remains constant, at what minimum speed should she run to set the record?

(a)70 km/hr (b) 60 km/hr (c) 55 km/hr (d) 50 km/hr

ANS :(B) 60 km/hr

11) Manu has invested 30% of his capital in petro bonds and rest in a life insurance plan. He has invested Rs. 34,000 more in life insurance plan than in petro bonds. How much is the total investment made by Manu?

(a)Rs. 25,500 (b) Rs. 59,500 (c) Rs. 85,000 (d)Rs. 95,000 ANS: (C) Rs.85,000

12) Consider the following parameters:

A.A boat travels 300 metres upstream in 15 mins.

B.Its speed downstream is 8/5 times its speed upstream.

Which of the following options provides the correct relationship between speed of current and speed of the boat?

(a) Speed of the current = 12/10 times the speed of the boat

(b)Speed of the current = 3/13 times the speed of the boat ANS: (B) (c)Speed of the current = 12/10 times the speed of the boat

(d)Speed of the current = 9/13 times the speed of the boat

13) In a match, awards are given to each of 11 members of the team and a trophy to the team. In all winning team gets 2.75 kg weight awards. If the weight of match winning trophy is 1.275 kg, what is the weight of the award given to each player?

(a)200 grams (b)150 grams (c)124 grams (d)134 grams

ANS :(D) 134 grams

14) In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together ?

(1)120 (b)720 (c) 4320 (d) 2160 (e) None of the above

ANS :(B) 720

15) If 764xy is divisible by 90, then what is the value of x + y?

(a)1 (b) 3 (c) 5 (d) 6 ANS :(A) 1

16) In a test called ACSAT, the average marks of 15 test takers is 240. If the marks of 5 test takers are subtracted, the average marks decreases by 40. What is the average marks of 5 test

takers?

 

(a)1600 (b) 320 (c)200 (d) 40

ANS :(B) 320

QUANT

17) What will be the cost of fencing a rectangular compound if the wire costs Rs. 20 per metre?

Given:

1.Area = 40 m^2

2.Length = 2 x Breadth

(a) Only 1 (b) Only 2 (c) Either 1 or 2 (d) Both 1 and 2

ANS :(D) Both 1 and 2

18) What is the least number which should be added to 0.0282 to make it a perfect square?

(a)0.0007 (b) 0.0042 (c) 0.0002 (d) 0.0003

ANS :(A) 0.0007

19) What is the least perfect square, which is divisible by 24, 30 and 60?

(a)1600 (b) 3600 (c) 14400 (d) 32400

ANS :(B) 3600

20) A content manager is working on an excel sheet. She has 6 columns in the sheet- A,B,C,D,E and F. She has to check that no two columns should have the same entry. She can check only 2 columns at a time. How many times will she have to repeat the comparing process to complete the process for the whole file?

(1) 7 (b) 8 (c) 15 (d)10

ANS :(B) 8

21) A long distance train is scheduled to reach its destination in 19 hours. After 10 hours of journey, due to disruption of rail traffic, the train has to be stationed for 1 hour. If the average speed of the train is 100km/hr, at what speed should it travel to cover the distance in same amount of time?

(a)110 (b) 110.5 (c) 112.5 (d)112

ANS:(C) 112.5

22) Simple interest on an amount at 4% per annum for 13 months is more than the simple interest on the same sum for 8 months at 6% per annum by Rs. 40. What is the principal amount?

(a)Rs. 3,600 (b) Rs. 12,000 (c) Rs. 4,800 (d) Rs. 24,000

ANS :(B) Rs.12,000

23) Micro-Sims Pvt. Ltd. produces 1,200 phones everyday. If out of these, 2purnak 1 ⁄3 % are faulty and 4purnak 1 ⁄3 % are defective in packaging, then how many nonfaulty and non- defective packaged phones are produced everyday?

(a)80 (b)120 (c)1080 (d) 1120

ANS:(D) 1120

24) A trend was observed in the growth of population in Saya Islands. The population tripled every month. Initially, the population of Saya Islands was 100. What would be its population after 4 months?

(a)100*4 (b) 100*3 (c)100*3*4 (d) (100 )^4

ANS:(B) 100*3^4

QUANT

25) Sudhir goes to the market once every 64 days and Sushil goes to the same market once every 72 days. They met each other one day. How many days later will they meet each other again?

(a)16 (b) 64 (c) 240 (d) 576 ANS:(D) 576

26) If Mini downloads three more songs in her mobile .she will have songs worth 512 MB in her mobile. If on an average each song is 4 MB, how many songs did she initially have in her phone before downloading?

(a)125 (b) 128 (c) 120 (d)137

ANS:(A) 125

27) The causes of productivity loss are to be written around a circle in the annual report. In how many ways can an analyst write them around the circle, if the number of causes are 5?

(a)5! (b) 5C5 (c) 5P5 (d) 4! (e) 4C4

ANS: (D) 4!

28Ravi has a bag full of 10 Nestle and 5 Cadbury chocolates. Out of these, he draws two chocolates. What is the probability that he would get at least one Nestle chocolate?

(a)19/21 (b) 3/7 (c) 2/21 (d) 1/3

ANS: (A) 19/21

29) If there are 150 babies born every minute, how many babies share the same birth date world wide?

(a)2,24,000 (b) 2,16,000 (c) 2,25,000 (d) 2,18,000

ANS:(B) 2,16,000

30) The list price of an electric iron is Rs. 300. If two successive discounts of 15% and 10%

are allowed, its selling price will be:

ANS :(A) Rs.229.50

(a) Rs. 229.50 (b) Rs. 231.50 (c) Rs. 232.50 (d) Rs. 234.50 (e) None of the above

31) A juice container was 4/5 full. Ravinder poured 4 glasses from it and then poured two glasses back. The container is 3/4 full now. How many glasses can be filled if the entire container of juice is emptied?

(a) 32 (b) 36 (c) 44 (d) 40

ANS:(A) 32

32) In a mall, 20% area is occupied by eateries, 60% area is open. In the remaining area of 1600 sq meter, there are different showrooms. What is the total area occupied by the mall?

(a) 10,000 sq m (b) 5,000 sq m (c) 8,000 sq m (d) 4,800 sq m

ANS:(B) 5,000 sq m

33) A company decides a new identity code for all its employees. The identity code would comprise of five letter initials that can be formed using the alphabets of English language such that the fifth letter is always a consonant. How many such combinations are possible?

(a) 26 ^3* 21^2 (b) 21^4 * 26 (c) 21^3 * 26^2 (d) 26^4 * 21

ANS:(D)26^4*21

QUANT

34) A number when divided by 5 leaves remainder 2. When the square of the number is divided by 5, the remainder will be:

(a) 4 (b) 2 (c) 1 (d) 3

ANS: (A) 4

35) In how many ways can at least two team members be selected for grade A out of 7 members in a group?

(a)7C2 (b) 7C2 +7 C3 +7 C4 + 7C5 +7 C6 + 7C7 (c)7P2 +7 P3 + 7P4 +7 P5 +7 P6 +7 7P7

(d) 7C0 +7 C1 (e)7P0 +7 P1 ANS: (B)

36) A large rubber cushion can be filled with air pump in 10 minutes, another pump can fill the same cushion in 12 minutes. If both the pumps operate together, how long will it take to fill the cushion?

(a) 6 purnak 5⁄11 minutes (b) 5purnak

6 ⁄11 minutes (c) 4purnak 5 ⁄11 minutes

(d) 5 purnak 5 ⁄11 minutes

ANS: (D) 5purnak5/11

37) Maithli purchased a walkman from her friend. She then sold it for Rs. 90. Had it been sold for Rs. 105, the gain would have been 1/4 of the former loss. What is the cost of the walkman?

(a)Rs. 82 (b) Rs. 102 (c) Rs. 114 (d) Rs. 126

ANS: (B) Rs.102

38) Rahul played well in this season. His current batting average is 51. If he scores 78 runs in today's match, his batting average will become 54. How many matches had he played in this season?

(a) 8 (b) 10 (c) 9 (d) 6

ANS: ( A) 8

39) What is the least perfect square, which is divisible by 24, 30 and 60?

(a)1600 (b) 3600 (c) 14400 (d) 32400

ANS: (B) 3600

40) Malini solved the following question in her Mathematics examination:

(6/4 + 5pur 16 of 3/7)/(5 + 2pur1 ⁄3) and her answer was 38/77. By how much was her answer wrong?

(a) 1 (b) 1/77 (c) 2 (d) 2/77 (e) 39/77

ANS: (B) 1/77

41) x and y are 2 numbers which when divided by 6 leave a remainder of 4 and 5 respectively. What will be the remainder when y + x is divided by 6?

(a) 6 (b) 9 (c) 1 (d) None of the above

ANS:(D) None of these

QUANT

42) On an average, a content developer can develop 6 questions in an hour. Resource manager wants to complete the project of 2400 questions in 20 hours. How many developers should he take in his team?

(a) 30 (b) 20 (c) 40 (d) 10 ANS: (B) 20

43) If 764xy is divisible by 90, then what is the value of x + y?

(a) 1 (b)3 (c) 5 (d) 6

ANS: (A) 1

44) There are 2 bags A and B. Bag A contains 6 red flowers and 3 pink flowers whereas Bag B contains 2 red flowers and 7 pink flowers. One flower is chosen from a bag randomly. What is the probability that the flower chosen is pink?

(a) 4/9 (b) 1/3 (c) 5/4 (d) 5/9

ANS: (D) 5/9

45) A long distance train is scheduled to reach its destination in 19 hours. After 10 hours of journey, due to disruption of rail traffic, the train has to be stationed for 1 hour. If the average speed of the train is 100km/hr, at what speed should it travel to cover the distance in same amount of time?

(a) 110 (b) 110.5 (c)112.5 (d)112

ANS: (C)112.5

46) What is the least number by which 16,800 must be divided to get a number which is a perfect square?

(a) 42 (b) 24 (c) 21 (d) 40

ANS: (A) 42

47) Martha was supposed to multiply the number of cans sold with the price of one can to ascertain the amount earned by her. Instead of taking 41 as the number of cans, she wrote 14 by mistake. As a result, the product went down by 135. What is the other multiplier?

(a)5 (b) 7 (c) 9 (d) 12

ANS: (A) 5

48) A company decides a new identity code for all its employees. The identity code would comprise of five letter initials that can be formed using the alphabets of English language such that the fifth letter is always a consonant. How many such combinations are possible?

(a) 26^3 * 21^2 (b) 21^4 * 26 (c) 21^3 * 26^2 (d) 26^4 * 21 ANS: (D) 26^4*21

49) 5/11 of the paper produced can be recycled. If 6,42,400 tonnes of paper is produced, what quantity of recycled paper can be made after its use? ANS: (B) 2,92,000 tonnes

(a) 3,92,000 tonnes (b) 2,92,000 tonnes (c) 1,92,000 tonnes (d) 4,92,000 tonnes

50)Ratio between speeds of 2 trains is 5:3. If the first train runs 350 km in 2 hours, then what is the speed of the second train?

(a)100 kmph (b)115 kmph (c)105 kmph (d)210 kmph

ANS: (C) 105 kmph

QUANT

51) In a quiz competition, the host asked a question and provided three possible answers. What is the probability that the answer choice which Rohit selects for a question is wrong?

(a) 1/3 (b) 1/2 (c) 3C1 * 3/2 (d) 2/3 ANS: (D) 2/3

52) The packaging unit of a factory has two panels. Each of the panel contains 4 rows of items stored. Each row has 4 kinds of items that are to be packed. How many items are stored for packaging in the packaging unit?

a) 2^4 (b) 4^4 (c) (4^4)^2 (d) 2^5 ANS:(C) (4^4)^2

53) Ram and Ravi were playing with a paper phone, frustums of which are attached to each other by 95 m long string. If both start moving in opposite directions at a speed of 18 m/min and 20 m/min respectively, after how many minutes will both have to stop?

(a) 2 min (b) 2.5 min (c) 3 min (d) 3.5 min ANS:(B) 2.5 min

54) Ramakant wants to earn Rs. 1,500 interest on his deposits. He plans to buy a sack of grains with the interest. He puts Rs. 5,000 into his account that earns 2.5% interest. How long will he need to leave his money in the account to earn this interest that would help him buy

the sack of grains?

 

(a) 8 years (b)10 years (c)12 years (d)15 years

ANS:(C) 12yesrs

55) A store has a banner of 25% off on MRP of all branded items. Sheetal goes into the store and buys a belt worth Rs. 75, a shirt of Rs. 1,999 and a shawl of Rs. 2,900. How much

amount will she have to pay?

 

(a) Rs. 1243.50 (b) Rs. 1240 (c) Rs. 3,700 (d) Rs. 3,730.50

ANS: (A) Rs.1243.50

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