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Latest HP SET Mathematical Sciences Exam Question (Objective Questions), MCQ in English

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Question Bank HP SET Mathematical Sciences Exam Paper 2 - English
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Mathematical Sciences

Question 1Single Answer
It takes 2 hours for Tiwari and Deo to do a job. Hari takes 3 hours to do the same job. Deo and Hari take 6 hours to do the same job. Which of the following statements is incorrect?
  1. A
    Tiwari alone can do the job in 3 hours
  2. B
    Deo alone can do the job in 6 hours
  3. C
    Hari does not work at all
  4. DHari is the fastest worker
Question 2Single Answer
Abdul travels thrice the distance Catherine travels, which is also twice the distance that Binoy travels. Catherine’s speed is 1/3 of Abdul’s speed, which is also ½ of Binoy’s speed. If they start at the same time then who reaches first?
  1. A
    Both Abdul and Catherine
  2. B
    Binoy
  3. C
    Catherine
  4. DAll three together
Question 3Single Answer
For a certain regular solid: number of faces + number of vertices = number of edges + 2. For three such distinct (not touching each other) objects, what is the total value of faces + vertices – edges?
  1. A
    Two
  2. B
    Four
  3. C
    Six
  4. DZero
Question 4Single Answer
What will be the next figure in the following sequence?
    Question 5Single Answer
    The area of the shaded region in cm2 is
      Question 6Single Answer
      The angles of a right-handed triangle shaped garden are in arithmetic progression and the smallest side is 10.00m. The total length of the fencing of the garden in m is
      1. A
        60.00
      2. B
        47.32
      3. C
        12.68
      4. D
        22.68
      Question 7Single Answer
      AB is the diameter of the semicircle as shown in the diagram. If AQ = 2 AP then which of the following is correct?
        Question 8Single Answer
        The rabbit population in community A increases at 25% per year while that in B increases at 50% per year. If the present populations of A and B are equal, the ratio of the number of the rabbits in B to that in A after 2 years will be
        1. A
          1.44
        2. B
          1.72
        3. C
          1.90
        4. D
          1.25
        Question 9Single Answer
        The houses of three sisters lie in the same row, but the middle sister does not live in the middle house. In the morning, the shadow of the eldest sister’s house falls on the youngest sister’s house. What can be concluded for sure?
        1. AThe youngest sister lives in the middle
        2. BThe eldest sister lives in the middle.
        3. CEither the youngest or the eldest sister lives in the middle.
        4. DThe youngest sister’s house lies on the east of the middle sister’s house.
        Question 10Single Answer
        A woman starts shopping with Rs. X and Y paise, spends Rs. 3.50 and is left with Rs. 2Y and 2X paise. The amount she started with is
        1. ARs 48.24
        2. BRs 28.64
        3. CRs  32.14
        4. DRs 23.42
        Question 11Single Answer
        A mine supplies 10000 tons of copper ore,containing an average of 1.5 wt% copper, to a smelter every day. The smelter extracts 80% of the copper from the ore on the same day. What is the production of copper in tons/ day?
        1. A80
        2. B12
        3. C120
        4. D150
        Question 12Single Answer
        Wheat production of a country over a number of years is shown. Which year recorded highest per cent reduction in production over the previous year?
        1. A2001 
        2. B2002
        3. C2003
        4. D2004
        Question 13Single Answer
        Which of the following numbers is the largest?
          Question 14Single Answer
          The cube ABCDEFGH in the figure has each edge equal to . The area of the triangle with vertices at A, C and F is
            Question 15Single Answer
            What is the number of distinct arrangements of the letters of the word UGCCSIR so that U and I cannot come together?
            1. A2520
            2. B720
            3. C1520
            4. D1800
            Question 16Single Answer
            Suppose the sum of the seven positive numbers is 21. What is the minimum possible value of the average of the squares of these numbers?
            1. A63
            2. B21
            3. C9
            4. D7
            Question 17Single Answer
            What is the angle between the minute and hour hands if a clock at 7:35?
            1. A00
            2. B17.50
            3. C19.50
            4. D200
            Question 18Single Answer
            A stream of ants go from point A to point B and return to A along the same path. All the ants move at a constant speed and from any given point 2 ants pass per second one way. It takes 1 minute for an ant to go from A to B. How many returning ants will an ant meet in its journey from A to B?
            1. A
              120
            2. B
              60
            3. C240
            4. D
              180
            Question 19Single Answer
            The capacity of the conical vessel shown above is V. It is filled with water up to half its height. The volume of water in the vessel is
            1. Av
              2
            2. Bv
              4
            3. C v
              8
            4. D v
              16
            Question 20Single Answer
            A large tank filled with water is to be emptied by removing half of the water present in it everyday. After how many days will there be closest to 10% water left in the tank?
            1. A
              One
            2. B
              Two
            3. C
              Three
            4. D
              Four
            Question 21Single Answer
            A cart wheel rolls along a straight line. If the distance covered is equal to the diameter of the wheel. What is the angle through which the wheel has turned?
            1. A90°
            2. B
              Between 90° and 120°
            3. CBetween 120° and 150°
            4. DBetween 150° and 180°
            Question 22Single Answer
            In a class of 10 students, 3 failed in History, 6 failed in Geography and 2 failed in both. How many passed in both the subjects?
            1. A1
            2. B2
            3. C3
            4. D5
            Question 23Single Answer
            Helium and argon gases in two separate containers are at the same temperature and so have different root-mean-square (r.m.s.) velocities. The two are mixed in a third container keeping the same temperature. The r.m.s. velocity of the helium atoms in the mixture is
            1. AMore than what it was before mixing
            2. BLess than what it was before mixing
            3. C
              Equal to what it was before mixing
            4. D
              Equal to that of argon atoms in the mixture
            Question 24Single Answer
            On a certain night the moon in its waning phase was a half-moon. At midnight the moon will be 
            1. AOn the eastern horizon
            2. BAt  angular height above the eastern horizon
            3. CAt the zenith
            4. DOn the western horizon
            Question 25Single Answer
            Marks obtained by two students S1 and S2 in a four semester course are plotted in the following graph Which of the following statements are true ?
             
            1. AS2 got higher marks than S1 in all four semesters
            2. BOver four semesters, S1 improved by a higher percentage compared to S2
            3. CTotal marks of S1 and S2 are equal.S1 and S2 did not get the same marks in any semester
            4. DS1 and S2 did not get the same marks in any semester
            Question 26Single Answer
            The price of 349 coconuts is Rs.2094. What will be the price of 26 dozens of coconuts?
            1. A1248
            2. B1982
            3. C1872
            4. D1524
            Question 27Single Answer
            How many digits are there in 217 X 32 X 517 X 7?
            1. A14
            2. B15
            3. C16
            4. D17
            Question 28Single Answer
            A man on the equator moves along  longitude up to 45  N. He then turns east and moves up to E, and returns to the equator along E. the distance covered in multiples of Earth’s radius R is
              Question 29Single Answer
              We define a function f(N)= sum of digits of N, expressed as decimal number. E.g. 
              1. A10
              2. B
                18
              3. C28
              4. D11
              Question 30Single Answer
              Every month the price of a particular commodity falls in this order:1024, 640, 400, 250 …
              What is the next value?
              1. A156.25
              2. BApproximately 39
              3. C64
              4. D40
              Question 31Single Answer
              A cubical piece of wood was filed to make it into the largest possible sphere. What fraction of the original volume was removed?
              1. AMore than
              2. CSlightly less than
              3. D
                Slightly more than 
              Question 32Single Answer
              Three volumes of a Hindi book, identical in shape and size, are next to each other in a shelf, all upright, so that their spines are visible, left to right: I, II and III. A worm starts eating from the outside front cover of volume I, and eats its way horizontally to the outside back cover of volume III. What is the distance travelled by the worm, if each volume is 6 cm thick?
              1. A6 cm
              2. B12 cm
              3. C18 cm
              4. DA little more than 18 cm
              Question 33Single Answer
              In each of the following groups of words is a hidden number, based on which you should arrange them in ascending order. Pick the right answer:
              1.Tinsel event
              2.Man in England
              3.Good height
              4.Last encounter
              1. A1 2  3  4
              2. B3, 2, 4, 1
              3. C1, 3, 4, 2
              4. D3, 4, 2, 1
              Question 34Single Answer
              Let m and n be two positive integers such that m + n + mn = 118. Then the value of m + n is:
              1. ANot uniquely determined
              2. B18
              3. C20
              4. D22
              Question 35Single Answer
              AB is the diameter of a circle. The chord CD is perpendicular to AB intersecting it at P. If CP = 2 and PB = 1, the radius of the circle is:
              1. A1
              2. B2.5
              3. C2
              4. D5
              Question 36Single Answer
              What is angle  in the schematic diagram given below?
              1. A60
              2. B50
              3. C40
              4. D30
              Question 37Single Answer
              “The clue is hidden in this statement”, read the note handed to Sherlock by Moriarty who hid the stolen treasure in one of the ten pillars. Which pillar is it?
              1. A
                X
              2. B
                II
              3. C
                III
              4. D
                IX
              Question 38Single Answer
              Suppose three meetings of a group of professors were arranged in Mumbai, Delhi and Chennai. Each professor of the group attended exactly two meetings, 21 professors attended Mumbai meeting and 30 attended Chennai meeting. How many of them attended both the Chennai and Delhi meetings?
              1. A
                18
              2. B24
              3. C26
              4. DCannot be found from the above information
              Question 39Single Answer
              The probability that a ticketless traveller is caught during a trip is 0.1. if the traveller makes 4 trips, the probability that he/she will be caught during at least one of the trips is :
              1. A1 - (0.9)4
              2. B(1 - 0.9)4
              3. C1  -  (1 - 0.9)4
              4. D(0.9)4
              Question 40Single Answer
              The minimum number of straight lines required to connect the nine points above without lifting the pen or retracting is:
              1. A
                3
              2. B4
              3. C5
              4. D6
              Question 41Single Answer
              It takes 2 hours for Tiwari and Deo to do a job. Hari take 3 hours to do the same job. Deo and Hari take 6 hours to do the same job. Which of the following statements is incorrect?
              1. ATiwari alone can do the job in 3 hours
              2. BDeo alone can do the job in 6 hours
              3. CHari does not work at all
              4. DHari is the fastest worker
              Question 42Single Answer
              Abdul travels thrice the distance Catherine travels, which is also twice the distance that Binoy travels. Catherine’s speed is 1/3 of Abdul’s speed, which is also ½ of Binoy’s speed. If they start at the same time then who reaches first?
              1. ABoth Abdul and Catherine
              2. BBinoy
              3. CCatherine
              4. DAll three together
              Question 43Single Answer
              For a certain regular solid: number of faces + number of vertices = number of edges + 2. For three such distinct (not touching each other) objects, what is the total value of faces + vertices – edges?
              1. ATwo
              2. BFour
              3. CSix
              4. DZero
              Question 44Single Answer
              What will be the next figure in the following sequence?
                Question 45Single Answer
                Marks obtained by two students S1 and S2 in a four semester course are plotted in the following graph


                Which of the following statements are true ?
                1. AS2 got higher marks than S1 in all four semesters
                2. B
                  Over four semesters, S1 improved by a higher percentage compared to S2
                3. C
                  Total marks of S1 and S2 are equal.
                4. D
                  S1 and S2 did not get the same marks in any semester
                Question 46Single Answer
                The following table shows the price of diamond crystals of a particular quality



                What will be the price (in lakh Rs) of a 2.5 carat diamond crystal?
                1. A10
                2. B20
                3. C25
                4. D50
                Question 47Single Answer
                How many digits are there in 217 X 32 X 514 X 7 ?
                1. A14
                2. B15
                3. C16
                4. D17
                Question 48Single Answer
                A man on the equator moves along 0° longitude up to 45°  N. He then turns east and moves up to 90° E, and returns to the equator along 90° E. the distance covered in multiples of Earth’s radius R is
                  Question 49Single Answer
                  We define a function f(N)= sum of digits of N, expressed as decimal number. E.g. f(137)=1+3+7=11 Evaluate f(27 3556). 
                  1. A10
                  2. B18
                  3. C28
                  4. D11
                  Question 50Single Answer
                  Every month the price of a particular commodity falls in this order:1024, 640, 400, 250 …What is the next value?
                  1. A156.25
                  2. BApproximately 39
                  3. C64
                  4. D40
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