NMAT - Qa - Paper - 1

48 Questions

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NMAT - Qa - Paper - 1

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Questions and Answers
  • 1. 
    A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. Z spends Rs. 38 on these fruits. The number of pineapples purchased is
    • A. 

      2

    • B. 

      3

    • C. 

      4

    • D. 

      Can't Say

  • 2. 
    The area of the shaded portion of the figure given above is
    • A. 
    • B. 
    • C. 
    • D. 

      None of these

  • 3. 
    For a college debating team, 5 gents and 3 lady students were available. It is desired to select 2 gents and 2 ladies to form the team. In how many ways, the team can be selected?
    • A. 

      30

    • B. 

      60

    • C. 

      15

    • D. 

      12

  • 4. 
    In the figure given above, what is the ratio of a to b?
    • A. 

      2/1

    • B. 

      4/1

    • C. 

      1/4

    • D. 

      None of the above

  • 5. 
    Three friends had dinner at a restaurant. When the bill was received, Roopa paid 2/3 as much as Shilpa paid and Silpa paid ½ as much as Deepa paid. What fraction of the bill did Shilpa pay?
    • A. 

      15/24

    • B. 

      12/31

    • C. 

      3/11

    • D. 

      1/3

  • 6. 
    A rectangle has width a and length b. If the width is decreased by 20% and the length is increased by 10%, what is the new area of the rectangle?
    • A. 

      0.9ab

    • B. 

      0.92ab

    • C. 

      1.1ab

    • D. 

      0.88ab

  • 7. 
    • A. 

      36

    • B. 

      56

    • C. 

      22

    • D. 

      13

  • 8. 
    Solve the equation above
    • A. 

      (-7,-3)

    • B. 

      (3,7)

    • C. 

      (-7,3)

    • D. 

      (-3,-7)

  • 9. 
    Two boys A and B start as office attenders in two different establishments. A starts on a salary of Rs. 450 with an annual increment of Rs. 25, and B on a starting of Rs. 60 with an annual increment of Rs. 20. After how many  years will A begin to draw a salary more than what B will draw?
    • A. 

      30

    • B. 

      31

    • C. 

      32

    • D. 

      29

  • 10. 
    Due to reduction in price of mangoes by 30 %, a man can buy 15 mangoes more for the same amount. What was the initial number of mangoes he could buy?
    • A. 

      50

    • B. 

      35

    • C. 

      25

    • D. 

      45

  • 11. 
    A alone can finish a work in 15 days and B alone can do it in 25 days. If they work together and finish it, then out of a total wages of Rs.64, A will get:
    • A. 

      Rs.34

    • B. 

      Rs.30

    • C. 

      Rs.24

    • D. 

      Rs.40

  • 12. 
    The sale recorded by a dealer in a week from Monday to Saturday are as follows:
    • Rs. 210000 per day for the first three days
    • Rs. 81000 on Thursday
    • Rs. 45000on Friday
    • Rs. 156000 on Saturday
    Find his average sales per day during that week.
    • A. 

      152000

    • B. 

      125000

    • C. 

      135000

    • D. 

      132000

  • 13. 
    A trader giving a discount of 11.11% on his product. At how many percent above the cost price does he mark his goods so that he makes a gain of 14.28%. ?
    • A. 

      28.56 %

    • B. 

      35 %

    • C. 

      22.22 %

    • D. 

      None of These

  • 14. 
    Two men, Mohit and Neerej started walking towards each other, simultaneously from places P and Q respectively, which are 72 miles apart. They met after 6 hours. After their meeting, Mohit reduced his speed by 1 mile/h and Neerej increased by 1 mile/h. They arrived at Q and P respectively at the same time. Find their initial speeds :
    • A. 

      6.5 miles/h and 7.5 miles/h

    • B. 

      6 miles/h and 7 miles/h

    • C. 

      6.5 miles/h and 5.5 miles/h

    • D. 

      15.5 miles/h and 9 miles/h

  • 15. 
    The weight of an empty bucket is 25% of the weight of the bucket when filled with some liquid. Some of the liquid has been removed. Then, the bucket, along with the remaining liquid, weighed three-fifth of the original weight. What fractional part of the liquid has been removed?
    • A. 

      2/5

    • B. 

      8/15

    • C. 

      7/13

    • D. 

      5/8

  • 16. 
    If the square of a two digit number is reduced by the square of the number formed by reversing the digits of the number, the final result is.
    • A. 

      Divisible by 11

    • B. 

      Divisible by 9

    • C. 

      Necessarily irrational

    • D. 

      (A) & (B) both

  • 17. 
    Mrs. Kapoor goes to the market and after hassling with the fruit vendor is able to get the price of a dozen bananas reduced by Rs.1, from the initial price. Thus she gets 1 bananas extra for every rupee saved. The initial and final prices of a dozen bananas are (in Rs.) :
    • A. 

      9,8

    • B. 

      12,11

    • C. 

      14,13

    • D. 

      24,23

  • 18. 
    A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it?
    • A. 

      175 days

    • B. 

      100 days

    • C. 

      90 days

    • D. 

      None of these

  • 19. 
    A company makes toy cars at a production cost of Rs 17.50 per unit. A market survey reveals that 10% of the product will be lost, 5% will be rejected, 5% will decay and 5% will be stolen. At what unit price must the company sell it to realize 28% profit ?
    • A. 

      Rs. 29.86

    • B. 

      Rs. 28

    • C. 

      Rs. 31.70

    • D. 

      Rs. 20.5

  • 20. 
    Divya made a profit of 25% when selling a salwar Kameez at Rs. 6000. If she has to now pay Rs. 600 more for the same dress, what should be her new selling price in order to make the same percentage profit?
    • A. 

      8250

    • B. 

      7500

    • C. 

      6750

    • D. 

      6600

  • 21. 
    With an average speed of 50 km/hr a train reaches its destination in time. If it goes with an average speed of 40 km/hr, it is late by 24 minutes. The total journey is
    • A. 

      40

    • B. 

      70

    • C. 

      30

    • D. 

      80

  • 22. 
    An employer reduces the number of his employees in the ratio 12 : 7 and increases their wages in the ratio 14 : 15. State whether his bill of total wages increases or decreases and in what ratio
    • A. 

      5:8

    • B. 

      8:5

    • C. 

      10:11

    • D. 

      9:8

  • 23. 
    A train which travels at the uniform rate of 20 m per second leaves Madras for Arconum at 6:30 a. m. At what distance from Madras will it meet a train which leaves Arconum for Madras at 7:15 a. m., and travels one-fourth faster than the former does, the distance from Madras to Arconum being 162 km?
    • A. 

      72 Km

    • B. 

      90 Km

    • C. 

      102 Km

    • D. 

      None of these

  • 24. 
    The average age of a husband and wife at the time of their marriages was 25 years. A son was born to them two years after their marriage. The present average age of all three of them is 24 years. How many years is it since the couple got married?
    • A. 

      5 yrs

    • B. 

      6 yrs

    • C. 

      8 yrs

    • D. 

      9 yrs

  • 25. 
    If the harmonic mean of two numbers is to their Geometric mean as 24 to 25. Find the ratio of numbers.
    • A. 

      2/3, 3/2

    • B. 

      4/3, 3/4

    • C. 

      4/9, 9/4

    • D. 

      16/9, 9/16

  • 26. 
    A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done is
    • A. 

      216

    • B. 

      240

    • C. 

      600

    • D. 

      3125

  • 27. 
    The entrance fee for the movie “LAJJA” in the ORIENT cinema is Rs. 50. When the price of the ticket was lowered, the number of visitors increased by 60% and the box office collection recorded an increase of 36%. Find the reduction in the ticket price.
    • A. 

      Rs. 12.50

    • B. 

      Re. 5

    • C. 

      Re. 7.50

    • D. 

      Re. 6

  • 28. 
    15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men?
    • A. 

      20

    • B. 

      18

    • C. 

      25

    • D. 

      30

  • 29. 
    A wheel makes 1000 revolutions in covering a distance of 88 km. The diameter of the wheel is:
    • A. 

      24 m

    • B. 

      40 m

    • C. 

      28 m

    • D. 

      14 m

  • 30. 
    will be equal to
    • A. 

      2

    • B. 

      3

    • C. 

      2.327

    • D. 

      2.273

  • 31. 
    The problem below contain a question and two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the questions. f 'x' is an integer, is x/2 an even integer? I. x is multiple of 2 II. x is multiple of 4
    • A. 

      If Statement I alone is sufficient but Statement II alone is not sufficient.

    • B. 

      If Statement II alone is sufficient but Statement I alone is not sufficient.

    • C. 

      If both statements I and II together are sufficient but neither of statements alone is sufficient.

    • D. 

      If Statement I and II together are not sufficient.

  • 32. 
    The problem below contain a question and two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the questions. Is pq a prime number? I. p is a prime number II. q is a fraction
    • A. 

      If Statement I alone is sufficient but Statement II alone is not sufficient.

    • B. 

      If Statement II alone is sufficient but Statement I atone is not sufficient.

    • C. 

      If both statements I and II together are sufficient but neither of statements alone is sufficient.

    • D. 

      If Statement I and II together are not sufficient.

  • 33. 
    The problem below contain a question and two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the questions Is PQ > RP? I. x = y II. y = z
    • A. 

      If Statement I alone is sufficient but Statement II alone is not sufficient.

    • B. 

      If Statement II alone is sufficient but Statement I atone is not sufficient.

    • C. 

      If both statements I and II together are sufficient but neither of statements alone is sufficient.

    • D. 

      If Statement I and II together are not sufficient.

  • 34. 
    The problem below contain a question and two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the questions. a, b, c are in geometric progression. Is the common ratio negative? I. b is less than a II. abc is greater than ac
    • A. 

      If Statement I alone is sufficient but Statement II alone is not sufficient.

    • B. 

      If Statement II alone is sufficient but Statement I atone is not sufficient.

    • C. 

      If both statements I and II together are sufficient but neither of statements alone is sufficient.

    • D. 

      If Statement I and II together are not sufficient.

  • 35. 
    The problem below contain a question and two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the questions. If 5 is added to the numerator and denominator each of the fraction a/b, will the new fraction be less than the original one? I. a =101, b = 161 II. a > b, a and b are real numbers.
    • A. 

      If Statement I alone is sufficient but Statement II alone is not sufficient.

    • B. 

      If Statement II alone is sufficient but Statement I atone is not sufficient.

    • C. 

      If both statements I and II together are sufficient but neither of statements alone is sufficient.

    • D. 

      If Statement I and II together are not sufficient.

  • 36. 
    The problem below contain a question and two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the questions. What is the area of right angled triangle ABC? I. The hypotenuse BC = 8 II. AC = 4
    • A. 

      If Statement I alone is sufficient but Statement II alone is not sufficient.

    • B. 

      If Statement II alone is sufficient but Statement I atone is not sufficient.

    • C. 

      If both statements I and II together are sufficient but neither of statements alone is sufficient.

    • D. 

      If Statement I and II together are not sufficient.

  • 37. 
    The problem below contain a question and two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the questions. When a body falls from rest its distance from the starting point varies as the square of the time it has fallen. How far does it fall in 10th second? I. it falls through 122.6 m in 5 seconds. II. it falls through 490.4 m.
    • A. 

      If Statement I alone is sufficient but Statement II alone is not sufficient.

    • B. 

      If Statement II alone is sufficient but Statement I atone is not sufficient.

    • C. 

      If both statements I and II together are sufficient but neither of statements alone is sufficient.

    • D. 

      If Statement I and II together are not sufficient.

  • 38. 
    The problem below contain a question and two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the questions. How many revolutions does a cycle wheel make in traveling one km? I. It is pedalled at the speed of 3 kms an hour II. The height of the topmost point of the wheel from the ground is 1.3 meters.
    • A. 

      If Statement I alone is sufficient but Statement II alone is not sufficient.

    • B. 

      If Statement II alone is sufficient but Statement I atone is not sufficient.

    • C. 

      If both statements I and II together are sufficient but neither of statements alone is sufficient.

    • D. 

      If Statement I and II together are not sufficient.

  • 39. 
    Question given below is followed by various steps. Some or all the steps may be required to find correct answer. In each case, decide the steps which are both correct and necessary to answer that questions and accordingly choose your answer. If all the steps are not given, choose the ones out of the given which are correct as well as necessary. A trader sells two articles at the same sales price. On one of the articles, he makes a profit of 20% while on the other, he incurs a loss of 15%. If the sales price of both the articles is Rs. 10,200 each what is the overall profit/loss made by the trader? (a) Calculate the profit earned on the first article and the loss incurred on the second article (b) Calculate the cost price for both the articles. (c) Deduct the sum of the cost prices of both articles from Rs. 20,400,
    • A. 

      All (a), (b) and (c) are correct and necessary

    • B. 

      Only (b) and (c) are correct and necessary

    • C. 

      Only (a) and (c) are correct and necessary

    • D. 

      Only (c) is correct and necessary

  • 40. 
    Question given below is followed by various steps. Some or all the steps may be required to find correct answer. In each case, decide the steps which are both correct and necessary to answer that questions and accordingly choose your answer. If all the steps are not given, choose the ones out of the given which are correct as well as necessary. A sum of Rs. 25000 is invested at the simple rate of interest of 12.5% p.a. How much interest would it earn in a span of 5 years? (a) Calculate the simple interest for one year (b) Multiply (a) by 5 (c) Calculate the simple interest for 5 years
    • A. 

      Only (c) is correct and necessary

    • B. 

      Only (a) and (b) are correct and necessary

    • C. 

      Either (a) and (b) together or (c) alone is correct and necessary

    • D. 

      Only (a) is correct and necessary

  • 41. 
    Question given below is followed by various steps. Some or all the steps may be required to find correct answer. In each case, decide the steps which are both correct and necessary to answer that questions and accordingly choose your answer. If all the steps are not given, choose the ones out of the given which are correct as well as necessary. From a 20 litre mixture of water and milk, containing water and milk in the ratio 1:4, 2 litres of mixture is removed and replaced by milk. What would be the ratio of water and milk in the resultant solution? (a) Subtract the quantities of water and milk in the 2 lit. mixture from those in the 20 litres mixture respectively. (b) Calculate the individual quantities of water and milk in the original solution of 20 litres as well those in the 2 litres. (c) Add 2 litres to the quantity of milk obtained as per step (a) and determine the required ratio.
    • A. 

      All the steps (a), (b) and (c) are correct and necessary, to be performed in the order of (b) - (a) - (c).

    • B. 

      All the steps (a), (b) and (c) are correct and necessary, to be performed in the order of (a) - (b) - (c).

    • C. 

      Only (b) and (c) are correct and necessary.

    • D. 

      All the steps (a), (b) and (c) are correct and necessary, to be performed in the order of (a)- (c) – (b).

  • 42. 
    Following graph gives data about the population of Mumbai over two decades. The population figures are given for Mumbai Island, Mumbai Suburbs, Greater Mumbai and Total population of Mumbai on Y1 axis on the left. Further, the population figures for Kalyan, Thane and Virar are given on Y2 axis on the right. Which of the following shows the maximum % increase in population?
    • A. 

      Thane, 81

    • B. 

      Virar, 71

    • C. 

      Kalyan, 81

    • D. 

      Thane, 71

  • 43. 
    Following graph gives data about the population of Mumbai over two decades. The population figures are given for Mumbai Island, Mumbai Suburbs, Greater Mumbai and Total population of Mumbai on Y1 axis on the left. Further, the population figures for Kalyan, Thane and Virar are given on Y2 axis on the right. Which of the following shows the minimum % increase in population over the given period?
    • A. 

      Mumbai Island

    • B. 

      Mumbai Suburbs

    • C. 

      Greater Mumbai

    • D. 

      Total population

  • 44. 
    Following graph gives data about the population of Mumbai over two decades. The population figures are given for Mumbai Island, Mumbai Suburbs, Greater Mumbai and Total population of Mumbai on Y1 axis on the left. Further, the population figures for Kalyan, Thane and Virar are given on Y2 axis on the right. Which of the following shows a constant % increase in population over the given period?
    • A. 

      Mumbai Island

    • B. 

      Mumbai Suburbs

    • C. 

      Greater Mumbai

    • D. 

      Total population

  • 45. 
    Following graph gives data about the population of Mumbai over two decades. The population figures are given for Mumbai Island, Mumbai Suburbs, Greater Mumbai and Total population of Mumbai on Y1 axis on the left. Further, the population figures for Kalyan, Thane and Virar are given on Y2 axis on the right. In 1961, the population of suburbs and island is what fraction of total population?
    • A. 

      33/55

    • B. 

      3/5

    • C. 

      11/55

    • D. 

      'A' or 'B'

  • 46. 
    Refer to the pie-chart given below: What fraction of Ghosh babu’s weight consists of muscular and skin proteins?
    • A. 

      1/13

    • B. 

      1/30

    • C. 

      1/20

    • D. 

      Cannot be determined

  • 47. 
    Refer to the pie-chart given below: Ratio of distribution of protein in muscle to the distribution of protein in skin is
    • A. 

      3:1

    • B. 

      3:10

    • C. 

      1:3

    • D. 

      3.5:1

  • 48. 
    Refer to the pie-chart given below: What percent of Ghoshbabu’s body weight is made up of skin
    • A. 

      0.15

    • B. 

      10

    • C. 

      1.2

    • D. 

      Cannot be determined