**Quantitative Aptitude Questions and Answers 2016**

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**Quantitative Aptitude Questions and Answers 2016**

**Questions on Permutations and Combinations:**

- 1: A group consists of 4 men, 6 women, and 5 children. In how many ways can 2 men, 3 women and 1 child selected from the given group?
- 600
- 200
- 1050
- 500
- None of these

**Answer: Option B**

- 2: Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
- 17
- 40
- 26
- 10
- 32

**Answer: Option E**

- 3: A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
- 20
- 22
- 66
- 47
- 82

**Answer: Option A**

- 4: The number of new words that can be formed by rearranging the letters of the word ‘ALIVE’ is -.
- 29
- 12
- 219
- 420
- None of these

**Answer: Option C**

- 5: In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
- 100
- 500
- 300
- 440
- 57

**Answer: Option B**

**Questions on Problems on Trains:**

- 1: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
- 69 m
- 12 2/9 m
- 38 m
- 27 7/9 m

**Answer: Option D**

- 2: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
- 8:3
- 4:3
- 1:7
- 10:16

**Answer: Option B**

- 3: Two train 132 meters and 108 meters long are running in opposite directions, one at the rate of 32 kmph and another one at the rate of 40 kmph. From the moment they meet the will cross each other in:

05 seconds

20 seconds

12 seconds

40 seconds

**Answer: Option C**

- 4: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross another travelling in opposite direction?
- 04
- 12
- 22
- 32

**Answer: Option B**

- 5: A person sees a train passing over 1 km long bridge. The length of the train is half that of the bridge. If the train clears the bridge in 2 minutes the speed of the train is:

30 km/hr

45 km/hr

90/km/hr

50 km/hr

**Answer: Option B**

**Questions on Problems on L.C.M and H.C.F:**

- 1: A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
- 21 min 59 sec
- 32 min 10 sec
- 55 min
- 46 min 12 sec

**Answer: Option D**

- 2: The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is:
- 10
- 22
- 44
- 66

**Answer: Option A**

- 3: Product of two co-prime numbers is 117. Their L.C.M should be:
- 09
- 117
- Equivalent to their H.C.F
- Not calculated

**Answer: Option B**

- 4: The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is:
- 30/7
- 20/78
- 48/347
- 80/194

**Answer: Option A**

- 5: Three numbers which are coprime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
- 75
- 81
- 85
- 89

**Answer: Option C**

**Questions on Averages:**

- 1: The arithmetic mean of the scores of a group of students on a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is:
- 45
- 50
- 4 approx.
- 6 approx.

**Answer: Option C**

- 2: The average age of 15 students in a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is:
- 11 years
- 14 years
- 15 years
- 15 2/7 years

**Answer: Option A**

- 3: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
- 3500
- 4000
- 4050
- 5000

**Answer: Option B**

- 4: If the arithmetic mean of seventy-five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is:
- 30
- 40
- 70
- 90

**Answer: Option B**

- 5: The average of the daily income of A, B and C is Rs. 60. If B earns Rs. 20 more than C and A earns double of what C earns; what is the daily income of C?
- 75
- 60
- 40
- None of these

**Answer: Option C**

**Questions on Compound Interest:**

- 1: What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
- 550
- 551.25
- 560
- 560.75

**Answer: Option B**

- 2: The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
- 8
- 10
- 12
- Cannot be determined

**Answer: Option A**

- 3: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
- 3
- 4
- 5
- 6

**Answer: Option B**

- 4: What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
- Rs. 550
- Rs. 551.25
- Rs. 560
- Rs. 560.75

**Answer: Option B**

- 5: A loan was repaid in two annual installments of Rs. 112 each. If the rate of interest be 10% per annum compounded annually, the sum borrowed was:
- 200
- 210
- 217.80
- 280

**Answer: Option B **

**Questions on Profit and Loss:**

- 1: The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%?
- 5%
- 48%
- 5%
- 52%

**Answer: Option A**

- 2: A shopkeeper mixes two varieties of tea, one costing Rs. 35 per kg and another at Rs. 45 per kg in the ratio 3:2 If he sells the mixed variety at Rs. 41.60 per kg, his gain or loss percent is:
- 6 gain
- 6 loss
- 4% gain
- 4% loss

**Answer: Option B**

- 3: A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to the retailer at a profit of 20%. The retailer, in turn, sells them to a customer for Rs. 30.09, thereby earning a profit of 25%. The cost price for the manufacturer is:
- Rs. 15
- Rs. 16
- Rs. 17
- Rs. 18

**Answer: Option C**

- 4: A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:
- no profit, no loss
- 20% profit
- less than 20% profit
- more than 20% profit

**Answer: Option D**

- 5: By selling 36 oranges, a vendor loses the selling price of 4 oranges. His loss percent is:
- 12
- 11
- 10%
- None of these

**Answer: Option C**

**Questions on Indices and Surds:**

- 1: [(√7 + √5: / ( (√7 – √5)] + [(√7 – √5: / (√7 + √5)] = ?
- 6
- 12
- 14
- 18

**Answer: Option B**

- 2: If x = √8 – √7, y = √6 – √5 and z = √10 – 3, which of the following is true?
- x < z < y
- z < x < y
- x < y < z
- z < y < x
- None of these

**Answer: Option B**

- 3: If x = √3 – √2, then find (x – 1/x)2
- 2
- 4
- 2√2
- 9
- None of these

**Answer: Option E**

- 4: If x = √196 + √200, then x/2 + 2/x is?
- 14
- 7
- 2√50
- √50

**Answer: Option C**

- 5: If x = 3 – √7, then find the value of x + 1/x.
- 1/2 (9 + √7)
- 1/2 (9 – √7)
- 1/2 (7 + √10)
- 1/2 (7 – √10)

**Answer: Option B**

**Questions on Probability:**

- 1: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is -.
- 0.4869
- 0.5904
- 0.6234
- 0.5834
- 0.2952

**Answer: Option B**

- 2: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
- 1/6
- 5/8
- 3/8
- 5/6
- 7/8

**Answer: Option D**

- 3: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
- 17/91
- 33/91
- 51/91
- 65/91
- None of these

**Answer: Option B**

- 4: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds and both primes is -.
- 10/17
- 10/19
- 46/105
- 11/15
- Cannot be determined

**Answer: Option E**

- 5: 10 books are placed at random on a shelf. The probability that a pair of books will always be together is -.
- 1/10
- 9/10
- 1/5
- 3/10
- 1/2

**Answer: Option C**

**Questions on Time and Distance:**

- 1: A distance is covered in 2 hours 45min. at 4km/hr. How much time will be taken to cover it at 16.5 km/hr:
- 40min
- 41min 15sec
- 45min
- 90min

**Answer: Option A**

- 2: Two trains start at the same time from Aligarh and Delhi and proceed towards each other at 16km/hr and 21km/hr respectively, When they meet, it is found that one train has travelled 60 km more than the other. The distance between the two stations is:
- 445km
- 444km
- 440km
- 450km

**Answer: Option B**

- 3: X and Y are two stations 500 km apart. A train starts from X and moves towards Y at 20 km/hr. Another rain starts from Y at the same time and moves towards X at 30 km/hr. How far from X will they cross each other?
- 200 km
- 300 km
- 120 km
- 40 km

**Answer: Option C**

- 4: Suresh travelled 1200 km by air which formed (2/5: of his trip. One-third of the whole trip, he travelled by car and the rest of the journey he performed by train. The distance travelled by train was:
- 1100km
- 800km
- 1600km
- 320km

**Answer: Option B**

- 5: A and B are two towns. Mr. Farugui covers the distance from A to B on cycle at 16 km/hr. However, he covers the distance from B to A on foot at 9 km/hr. His average speed during the whole journey is:
- 5 km/hr
- 25 km/hr
- 52 km/hr
- 32 km/hr

**Answer: Option C**

**Questions on Time and Work:**

- 1: A can do a piece of work in 14 days which B can do in 21 days. They begin together but 3 days before the completion of the work. A leaves off. The total number of days to complete the work is:
- 2 days
- 16 days
- 10 days
- 21 days

**Answer: Option C**

- 2: X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
- 09 days
- 10 days
- 14 days
- 26 days

**Answer: Option B**

- 3: Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
- 10
- 60
- 40
- 66

**Answer: Option B**

- 4: 20 women can do a work in 9 days. After they have worked for 6 days. 6 more men join them. How many days will they take to complete the remaining work?
- 2:4
- 4:3
- 8:3
- Data inadequate

**Answer: Option B**

- 5: A, B and C together earn Rs. 150 per day while A and C together earn Rs. 94 and B and C together earn Rs. 76. The daily earning of C is:
- 75
- 46
- 64
- 80

**Answer: Option A**

**Questions on Simple Interest:**

- 1: The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trebled after 5 years. What will be the total interest at the end of the tenth years?
- 200
- 1400
- 1200
- Data Inadequate

**Answer: Option C**

- 2: A lent Rs. 600 to B for 2 years and Rs. 150 to C for 4 years and received altogether from both Rs. 90 as simple interest. The rate of interest is:
- 8%
- 5%
- 01%
- 20%

**Answer: Option B**

- 3: An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
- 22500; Rs. 32500
- 62500; Rs. 37500
- 63500; Rs. 87500
- 91500; Rs. 42500

**Answer: Option B**

- 4: Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
- 479
- 262
- 928
- 828

**Answer: Option D**

- 5: Peter invested an amount of Rs. 12,000 at the rate of 10% p.a simple interest and another amount at the rate of 20% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
- 20,000
- 32,000
- 12,000
- 45,000

**Answer: Option A**

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