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Latest HPCET MSc Environmental Sciences Exam Question (Objective Questions), MCQ in English

Subjects : Earth Sciences, Physical and Chemical Sciences, Life Sciences

Question Bank HPCET M.Sc. Environmental Sciences Exam - English
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Earth Sciences

Question 1Single Answer
A and B move clockwise around a circle. starting from a common point O. A takes 9 minutes to complete a round but re-starts after a delay of 1 minute. B takes 13 minutes to complete the round but restarts after a delay of 2 minutes. How many minutes after they began would they meet again at O ?
  1. A
    30
  2. B
    29
  3. C
    31
  4. D
    28
Question 2Single Answer
Fourteen of the students in a class are girls. Eight students in the class wear blue shirts. Two are neither girls nor wear blue shirts. Five students who wear blue shirts are girls. How many students are there in the class ?
  1. A
    19
  2. B
    29
  3. C
    17
  4. D
    24
Question 3Single Answer
A stick of length L is broken into two pieces at random. What is the average length of the smaller piece ?
  1. A
    L/6
  2. B
    L/4
  3. C
    L/3
  4. D
    L/2
Question 4Single Answer
A long-distance runner finds a water station after completing  of the total distance After covering another  of the total distance he gets medical-aid. Another runner joins him 4 km after the medical-aid station. The second runner stops 4 km before the completion of run, coveringof the total distance. What is the total distance ?
  1. A
    21 km
  2. B
    30 km
  3. C
    42 km
  4. D
    50 km
Question 5Single Answer
Movement of a car with respect to time is given below :

The average speed of the car is :
  1. A
    30.42
  2. B
    20.43
  3. C
    10.43
  4. D
    21.43
Question 6Single Answer
A fuel station sold diesel costing Rs.15000 to 150 persons on a day. If the lower limit of sale to a person is Rs.50, what is the maximum amount in rupees for which one person could have purchased diesel on that day ?
  1. A
    7450
  2. B
    7500
  3. C
    7550
  4. D
    7600
Question 7Single Answer
The area of the triangle formed by joining the points (2017, 2017), (2027, 2027) and (2037, 2017) is
  1. A
    2017
  2. B
    100
  3. C
  4. D
Question 8Single Answer
If Sangeeta’s daughter is my daughter’s mother, then how am I related to Sangeeta ?
  1. A
    Son is the only possibility
  2. B
    Son-in-law is the only possibility
  3. C
    Daughter is the only possibility
  4. D
    Son-in-law or daughter
Question 9Single Answer
Four males M1, M2, M3, M4 and four females F1, F2, F3 and F4 are sitting around a round table facing away from the table as shown in the figure below. If each one moves three positions to his/her right and then one position to the left, then in which direction does F4 face ?
  1. A
    East
  2. B
    North - East
  3. C
    North - West
  4. D
    North
Question 10Single Answer
Prof. Murthy likes to let her students choose who their partners will be; however, no pair of students may work together for more than seven class periods in a row. Alice and Bob have worked together for seven class periods in a row. Calvin and Denny have worked together for three class periods in a row. Calvin does not want to work with Alice. Who should be assigned o work with Bob ?
  1. A
    Calvin
  2. B
    Alice
  3. C
    Denny
  4. D
    None
Question 11Single Answer
In a group of 44 players, 26 play hockey, 24 play football and 24 play cricket. Eight of them play both hockey and football, 12 play both football and cricket, and 5 play all the three games. How many play both hockey and cricket ?
  1. A
    10
  2. B
    15
  3. C
    None
  4. D
    7
Question 12Single Answer
It is given that  for any real number a Suppose for two real number x and y, (xy)* = (x)* (y)*. Then which of the following is necessarily true ?
  1. A
    x > 0 and y > 0
  2. B
    {x < 0 and y < 0} or {x > 0 and y > 0}
  3. C
  4. D
Question 13Single Answer
Number of times a research paper is viewed and cited is shown in the pict. In which month was the percentage increase in citation more than the double of the percentage increase in view ?
  1. A
    February
  2. B
    April
  3. C
    May
  4. D
    June
Question 14Single Answer
Which of the following options is the best choice for the missing number ?
0.1, 0.25, 0.3, 0.2, 0.5, 0.6, 0.3, ...., 0.9, 0.4, 1.0, 1.2
  1. A
    1.05
  2. B
    0.85
  3. C
    0.75
  4. D
    0.65
Question 15Single Answer
Consider a number 54 expressed in a base different from ten. What is the base of this number system if its equivalent value in the decimal system is 49 ?
  1. A
    1
  2. B
    3
  3. C
    6
  4. D
    9
Question 16Single Answer
Which of the options is appropriate for the blank space ?
  1. A
  2. B
  3. C
  4. D
Question 17Single Answer
In the diagram, what is the ratio of the total shaded area (of the circle and semi-circle) to the total area of the square and the retangle ?
  1. A
  2. B
  3. C
  4. D
Question 18Single Answer
Students are solving the same problem independently. If the probability that the first one solves the problem is  and the probability that the second solves the problem is , what is the probability that at least one of them solves the problem ?
  1. A
  2. B
  3. C
  4. D
Question 19Single Answer
A ball is dropped from a height of 100 m. The ball after each bounce rises vertically by half its previous height (This means at the first bounce it rises by 50 m, by 25 m at the second bounce and so on). What is the vertical distance travelled by the ball between the first and the fifth bounce ?
  1. A
  2. B
  3. C
  4. D
Question 20Single Answer
Three semi-circles are drawn inside a big circle as shown in the figure. If the radius of the two identical smaller semi-circles is th of that of the big circle and the radius of the bigger semi-circle  is twice that of the small semi-circle, what proportion of the big circle's area is shaded ?
  1. A
  2. B
  3. C
  4. D
Question 21Single Answer
Which one of the following isotope dating methods is based on the parent isotope abundances and not on the daughter isotope abundances ?
  1. A
    K – Ar dating
  2. B
    U – Pb dating
  3. C
    Radiocarbon dating
  4. D
    Rb – Sr dating
Question 22Single Answer
Which one of the following SiO2 polymorphs may form because of meteorite impact ?
  1. A
    Quartz
  2. B
    Tridymite
  3. C
    Opal
  4. D
    Stishovite
Question 23Single Answer
Correctly, match the mineral group and corresponding minerals that are used for dating geological events
1. Phophate          P. Galena
2. Silicate              Q. Monazite
3. Oxide                R. Zircon
4. Sulphide           S. Baddeleyite
  1. A
    1-P, 2-Q, 3-R, 4-S
  2. B
    1-Q, 2-R, 3-S, 4-P
  3. C
    1-R, 2-Q, 3-S, 4-P
  4. D
    1-S, 2-Q, 3-R, 4-P
Question 24Single Answer
Correctly match the processes with the corresponding mineral concentrations :
Processes                              Mineral concentration
1. Residual enrichment         P. Mn-oxide nodule
2. Chemical                           Q. Talc sedimentation
3. Metamorphic                     R. Chromite
4. Magmatic                          S. Bauxite
  1. A
    1-Q, 2-P, 3-S, 4-R
  2. B
    1-S, 2-R, 3-P, 4-Q
  3. C
    1-Q, 2-R, 3-P, 4-S
  4. D
    1-S, 2-P, 3-Q, 4-R
Question 25Single Answer
Which one of the mineral sequences, arranged in the order of increasing hardness (in Mohs scale) is correct ?
  1. A
    Talc, cacite, gypsum, apatite
  2. B
    Orthoclase, topaz, quatz, diamond
  3. C
    Calcite, apatite, orthoclase, quartz
  4. D
    Gypsum, talc, calcite, apatite

Physical and Chemical Sciences

Question 26Single Answer
It takes 2 hours for Tiwari and Deo to do a job. Tiwari and 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. 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. D
    Hari is the fastest worker 
Question 27Single 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 1/2 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. D
    All three together 
Question 28Single 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. D
    Zero
Question 29Single Answer
A tall metal cylinder is filled end-to-end with n snugly fitting
spherical wax balls of diameter d. If the balls melt completely, the
volume fraction occupied by the melted wax is :
  1. A
    independent of both d and n
  2. B
    dependent on both d and n
  3. C
    independent of d, but dependent on n
  4. D
    dependent on d, but independent of n
Question 30Single Answer
A, B, C, D are points on a circle with AB = 5 cm, BC = 12 cm, AC = 13 cm and AD = 7 cm. Then, the closest approximation of CD is— 
  1. A
    9 cm  
  2. B
    10 cm
  3. C
    11 cm
  4. D
    14 cm             
Question 31Single Answer
Choose the four digit number, in which the product Of the first & fourth digits is 40 and the product of the middle digits is 28. The thousands digit is as much less than the unit digit as the hundreds digit is less than the tens digit— 
  1. A
    5478    
  2. B
    5748
  3. C
    8745  
  4. D
    8475 
Question 32Single Answer
Equilateral triangles are drawn one inside the other as shown. What is the ratio of the two shaded areas ?
  1. A
    2 : 1  
  2. B
    3: 4
  3. C
    4 : 1 
  4. D
    8 : 1  
Question 33Single Answer
A frog hops and lands exactly 1 metre away at a time. What is the least number of hops required to reach a point 10 cm away ? 
  1. A
     1
  2. B
    2
  3. C
    3
  4. D
    It cannot travel such a distance          
Question 34Single Answer
A train running at 36 km/h crosses a mark on the platform in 8 sec and takes 20 sec to cross the platform. What is the length of the platform ? 
  1. A
    120m
  2. B
    280 m
  3. C
    40 m      
  4. D
    160m                              
Question 35Single Answer
When a polynomial f(x) is divided by x - 5 or x - 3 or x - 2, it leaves a remainder of 1. Which of the following would be the polynomial ? 
  1. A
    x3 - 10x2 + 31x + 31
  2. B
    x3 - 10x2 + 31x - 29
  3. C
    x3 - 10x2 + 31x - 31
  4. D
    x3 - 10x2 + 31x + 29   
Question 36Single Answer
Water is slowly dripping out of a tiny hole at the bottom of a hollow metallic sphere initially full of water. Ignoring the water that has flowed away, the centre of mass of the system — 
  1. A
    remains fixed at the centre of the sphere
  2. B
    moves down steadily as the amount of water decreases
  3. C
    moves down for sometime but eventually returns to the centre of the sphere 
  4. D
    moves down until half of the water is lost and then moves up 
Question 37Single Answer
The diagram (not to scale) shows the top view and cross section of a pond having a square outline and equal sized steps of 0.5 m width and 0.1 m height. What will be the volume of water (in m3) in the pond when it is completely filled ?
  1. A
    40.0                                            
  2. B
    29.4                     
  3. C
    19.4                                         
  4. D
    11.3                                                                
Question 38Single Answer
An inverted cone is filled with water at a constant rate. The volume of water inside the cone as a function of time is represented by the curve :

 
  1. A
    A
  2. B
    B
  3. C
    C
  4. D
    D
Question 39Single Answer
A spacecraft flies at a constant height R above a planet of radius R. At the instant the spacecraft is over the north pole, the lowest latitude visible from the spacecraft is :
  1. A
    0° (equator)
  2. B
    30° N
  3. C
    45° N
  4. D
    45° N
  5. E
    60° N
Question 40Single Answer
An experiment consists of tossing a coin 20 times. Such an experiment is performed 50 times. The number of heads and the number of tails in each experiment are noted. What is the correlation coefficient between the two ?
  1. A
    –1
  2. B
    –20 / 50
  3. C
    20 / 50
  4. D
    1
Question 41Single Answer
Which of these groups of numbers has the smallest mean ?
Group A : 1, 2, 3, 4, 5, 6, 7, 8, 9
Group B : 1, 2, 3, 4, 6, 6, 7, 8, 9
Group C : 1, 2, 2, 4, 5, 6, 7, 8, 9
Group D : 1, 3, 3, 4, 5, 6, 7, 9, 9
  1. A
    A
  2. B
    B
  3. C
    C
  4. D
    D
Question 42Single Answer
Identical balls are tightly arranged in the shape of an equilateral triangle with each side containing n balls. How many balls are there in the arrangement ?
  1. A
    n2 / 2
  2. B
    n (n + 1) / 2
  3. C
    n (n – 1) / 2
  4. D
    (n + 1)2 / 2
Question 43Single Answer
A shopkeeper has a faulty pan balance with a zero offset. When an object is placed in the left. plan it is balanced by a standard 100 g weight. When it is placed in the right pan it is bálanced by a standard 80 g weight. What is the actual weight of the object ?
  1. A
    90 g
  2. B
    88.88 g
  3. C
    95 g
  4. D
    85 g
Question 44Single Answer
A and B start from the same point in opposite directions along a circular track simultaneously. Speed of B is 2 / 3 rd that of A. How many times will A and B cross each other before meeting at the starting point ?
  1. A
    2
  2. B
    3
  3. C
    5
  4. D
    4
Question 45Single Answer
Consider a solid cube of side 5 units. After painting, it is cut into cubes of 1 unit. Find the probability that a randomly chosen unit cube has only one side painted .
  1. A
    56 / 125
  2. B
    36 / 125
  3. C
    44 / 125
  4. D
    54 / 125
Question 46Single Answer
How many integers in the set {1, 2, 3, .... 100} have exactly 3 divisors ?
  1. A
    4
  2. B
    12
  3. C
    5
  4. D
    9
Question 47Single Answer
The arithmetic and geometric means of two numbers are 65 and 25, respectively. What are these two numbers ?
  1. A
    110,20
  2. B
    115,15
  3. C
    120,10
  4. D
    125,5
Question 48Single Answer
Shyam spent half of his money and was left with as many as he had rupees before, but with half as many rupees as he had paise before. Which of the following is a possible amount of money he is left with ?
  1. A
    49 rupees and 98 paise
  2. B
    49 rupees and 99 paise
  3. C
    99 rupees and 99 paise
  4. D
    99 rupees and 98 paise
Question 49Single Answer
A cylindrical road roller having a diameter of 1.5 m moves at a speed of 3 km / h while levelling a road. How much length of the road will be levelled in 45 minutes ?
  1. A
    2.25 km
  2. B
    0.375p km
  3. C
    0.75p km
  4. D
    1.5 km
Question 50Single Answer
An intravenous fluid is given to a child of 7.5 kg, at the rate of 20 drop/minute. The prescribed dose of the fluid is 40 ml per kg of body weight. If the volume of a drop is 0.05 ml, how many hours are needed to complete the dose ?
  1. A
    2
  2. B
    3
  3. C
    4
  4. D
    5
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