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

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Question Bank JK SET Mathematical Sciences Exam Paper 2 - English
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Mathematical Science

Question 1Single 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. 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 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. D
    All 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. D
    Zero
Question 4Single Answer
What will be the next figure in the following sequence?
  1. A
  2. B
  3. C
  4. D
Question 5Single 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 6Single 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 digits.
  1. A
    5478
  2. B
    5748
  3. C
    8745
  4. D
    8475
Question 7Single 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
    1 : 4
  3. C
    4 : 1
  4. D
    8 : 1
Question 8Single Answer
A frog hops and lands exactly 1 meter 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 at such a distance
Question 9Single 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
    120 m
  2. B
    280 m
  3. C
    40 m
  4. D
    160 m
Question 10Single Answer
When a polynomial f(x) is divided by it leaves a remainder of 1. Which of the following would be the polynomial?
  1. A
  2. B
  3. C
  4. D
Question 11Single 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 12Single 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. B
    24
  3. C
    26
  4. D
    Cannot be found from the above information
Question 13Single 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. A
    1 - (0.9)4
  2. B
    (1 - 0.9)4
  3. C
    1  -  (1 - 0.9)4
  4. D
    (0.9)4
Question 14Single 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. B
    4
  3. C
    5
  4. D
    6
Question 15Single Answer
How many digits are there in  when it is expressed in the decimal form?
  1. A
    Three
  2. B
    Six
  3. C
    Seven
  4. D
    Eight
Question 16Single Answer
A circle drawn in the x-y coordinate plane passes through the origin and has chords of lengths 8 units and 7 units on the x and y axes, respectively. The coordinates of its centre are:
  1. A
    (8,7)
  2. B
    (-8,7)
  3. C
    (-4, 3.5)
  4. D
    (4, 3.5) 
Question 17Single Answer
There is an inner circle and an outer circle around a square. What is the ratio of the area of the outer circle to that of the inner circle?
  1. A
  2. B
    2
  3. C
    2 
  4. D
Question 18Single Answer
The base diameter of a glass is 20% smaller than the diameter at the rim. The glass is filled to half the height. The ratio of empty to filled volume of the glass is:
  1. A
  2. B
  3. C
  4. D
Question 19Single Answer
A wheel barrow with unit spacing between its wheels is pushed along a semi-circular path of mean radius 10. The difference between distances covered by the inner and outer wheels is
  1. A
    0
  2. B
    10
  3. C
  4. D
    2 
Question 20Single Answer
Write d = 1 degree, r = 1 radian and g = 1 grad. Then which of the following is true? (100 grad = 1 right angle)
  1. A
    cos d < cos r < cos g
  2. B
    cos r < cos g < cos d
  3. C
    cos r < cos d < cos g
  4. D
    cos g < cos d< cos 
Question 21Single 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. A
    1 2  3  4
  2. B
    3, 2, 4, 1
  3. C
    1, 3, 4, 2
  4. D
    3, 4, 2, 1
Question 22Single Answer
Let m and n be two positive integers such that m + n + mn = 118. Then the value of m + n is:
  1. A
    Not uniquely determined
  2. B
    18
  3. C
    20
  4. D
    22
Question 23Single 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. A
    1
  2. B
    2.5
  3. C
    2
  4. D
    5
Question 24Single Answer
What is angle  in the schematic diagram given below?
  1. A
    60
  2. B
    50
  3. C
    40
  4. D
    30
Question 25Single Answer
From a group of 40 players, a cricket team of 11 players is chosen. Then, one of the eleven is chosen as the captain of the team. The total number of ways this can be done is below means the number of ways n objects can be chosen from m objects
  1. A
  2. B
    11 
  3. C
    29 
  4. D
Question 26Single Answer
Starting from a point A you fly one mile south, then one mile east, then one mile north which brings you back to point A. Point A is NOT the north pole. Which of the following MUST be true?
  1. A
    You are in the Northern Hemisphere 
  2. B
    You are in the Eastern Hemisphere 
  3. C
    You are in the Western Hemisphere
  4. D
    You are in the Southern Hemisphere 
Question 27Single Answer
A 3 m long car goes past a 4m long truck at rest on the road. The speed of the car is 7m/s. The time taken to go past is:
  1. A
  2. B
    1s
  3. C
  4. D
Question 28Single Answer
Jar W contains 40 white marbles and jar B contains 40 black marbles. Ten black marbles from B are transferred to W and mixed thoroughly. Now, ten randomly selected marbles from W are put back in Jar B to make 40 marbles in each jar. The number of black marbles in W:
  1. A
    Would be equal to the number of white marbles in B
  2. B
    Would be more than the number of white marbles in B 
  3. C
    Would be less than the number of white marbles in B
  4. D
    Cannot be determined from the information given
     
Question 29Single Answer
Consider 3 parallel strips of 10 m width running around the Earth, parallel to the equator,  at the equator,  at the Tropic of Cancer and  at the Arctic Circle. The order of the areas of the strips is:
  1. A
    A123
  2. B
    A1=A2>A3
  3. C
    A1>A2=A3
  4. D
    A1>A2>A3
Question 30Single Answer
If aN⇒S eF⇒1gH M then ns⇒S?
  1. A
    T
  2. B
    A
  3. C
    L
  4. D
    K
Question 31Single Answer
We define a function f(N)= sum of digits of N, expressed as decimal number. E.g. 
  1. A
    10
  2. B
    18
  3. C
    28
  4. D
    11
Question 32Single Answer
Every month the price of a particular commodity falls in this order:1024, 640, 400, 250 …
What is the next value?
  1. A
    156.25
  2. B
    Approximately 39
  3. C
    64
  4. D
    40
Question 33Single 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. A
    More than
  2. B
  3. C
    Slightly less than
  4. D
    Slightly more than 
Question 34Single 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. A
    6 cm
  2. B
    12 cm
  3. C
    18 cm
  4. D
    A little more than 18 cm
Question 35Single Answer
A 2.2 m wide rectangular steel plate is corrugated as shown in the diagram. Each corrugation is a semi-circle in cross-section having a diameter of 7cm. What will be the width of steel sheet after it is corrugated ?
  1. A
    1.4 m
  2. B
    1.6 m
  3. C
    0.7 m
  4. D
    1.1 m
Question 36Single Answer
Ajay, Bunty, Chinu and Deb were agent, baker, compounder and designer, but not necessarily in that order. Deb told the baker that Chinu is on his way. Ajay is sitting across the designer and next to the compounder. The designer didn’t say anything. What is each person’s occupation?
  1. A
    Ajay-compounder, Bunty-designer, Chinu-baker,  Deb-agent
  2. B
    Ajay-compounder, Bunty-baker, Chinu-agent,  Deb-designer
  3. C
    Ajay- baker, Bunty-agent, Chinu- designer,  Deb-compounder
  4. D
    Ajay- baker, Bunty- designer, Chinu- agent,  Deb-compounder
Question 37Single Answer
Two platforms are separated horizontally by distance A and vertically by distance B. They are to be connected by a staircase having identical steps. If the minimum permissible step length is a, and the maximum permissible step height is b, the number of steps the staircase can have is
  1. A
  2. B
  3. C
  4. D
Question 38Single Answer
The sum of first n natural numbers with one of them missed is 42. What is the number that was missed?
  1. A
    1
  2. B
    2
  3. C
    3
  4. D
    4
Question 39Single Answer
A mouse has to go from point A to B without retracing any part of the path, and never moving backwards. What is the total number of distinct paths that the mouse may take to go from A to B?
  1. A
    11
  2. B
    48
  3. C
    72
  4. D
    24
Question 40Single Answer
A certain day, which is x days before 17th August, is such that 50 days prior to that day, it was 4x days since March 30th of the same year. What is x?
  1. A
    18
  2. B
    30
  3. C
    22
  4. D
    16
Question 41Single 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. A
    S2 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.S1 and S2 did not get the same marks in any semester
  4. D
    S1 and S2 did not get the same marks in any semester
Question 42Single Answer
The price of 349 coconuts is Rs.2094. What will be the price of 26 dozens of coconuts?
  1. A
    1248
  2. B
    1982
  3. C
    1872
  4. D
    1524
Question 43Single Answer
How many digits are there in 217 X 32 X 517 X 7?
  1. A
    14
  2. B
    15
  3. C
    16
  4. D
    17
Question 44Single 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
  1. A
  2. B
  3. C
  4. D
Question 45Single Answer

On a semi-circle of diameter 10m drawn on a horizontal ground are standing 4 boys A, B, C and D with distances AB = BC = CD. The length of the line segment joining A and B is
  1. A
    5m
  2. B
    6m
  3. C
    7m
  4. D
Question 46Single Answer
What is the next number in the following sequence?2, 3, 5, 6, 3, 4, 7, 12, 4, 5, 9…
  1. A
    10
  2. B
    20
  3. C
    13
  4. D
    6
Question 47Single Answer
The following sum is1 + 1 – 2 + 3 – 4 + 5 – 6 … - 20=?
  1. A
    10
  2. B
    -10
  3. C
    -11
  4. D
    -9
Question 48Single Answer
You are given 100 verbs using which you have to form sentences containing at least one verb, without repeating the verbs, under the condition that the number of verbs (from this set of 100) in any two sentences should not be equal. The maximum number of sentences you can form is
  1. A
    10
  2. B
    13
  3. C
    14
  4. D
    100
Question 49Single Answer
A 4x4 magic square is given below.

How many 2x2  squares are there in it whose elements add up to 34?
  1. A
    6
  2. B
    9
  3. C
    4
  4. D
    5
Question 50Single Answer
To go from the engine to the last coach of his train of length 200 m, a man jumped from his train to another train moving on a parallel track in the opposite direction, waited till the last coach of his original train appeared and then jumped back. In how much time did he reach the last coach if the speed of the each train was 60 km/hr?
  1. A
    5 s
  2. B
    6s
  3. C
    10s
  4. D
    12s
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