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CET / SIET SCHOLARSHIP PRACTICE- TEST 3 (SUBJECT: MATHEMATICS)
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"Please Answer all the Questions to know the correct Answers in view score after submission" .
(Estimated Answering Time Duration: 60 Min to 75 Min)
1)
In a class containing 120 students, 65 students drink tea and 84 students drink coffee. If X students drink both tea and coffee, what is the value of X?
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
2.
1 point
f(x)
2f(x)
–f(x)
f(-x
Clear selection
3.The function f(X) = max{(1-x),(1+x),2} is equivalent to
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
4.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
5.
1 point
2
7
11
27
Clear selection
6.
1 point
π/6
π/3
π
3π/2
Clear selection
7.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
8.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
9.
1 point
3
-3
0
None of these
Clear selection
10.
1 point
3
0
1
2
Clear selection
11.
1 point
-4/5 but not 4/5
-4/5 or 4/5
4/5 but not -4/5
None of these
Clear selection
12.
1 point
15/28
8/15
15/17
3/5
Clear selection
13.
1 point
m = n
m + n = 1
m + n = 0
mn=-1
Clear selection
14.
1 point
(-π/4, π/4)
(π/4, 3π/4)
(3π/4, 5π/4)
(5π/4, 7π/4)
Clear selection
15.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
16.
1 point
xyz
2xyz
4xyz
1+4xyz
Clear selection
17.
The third term of a geometric progression in 4. The product of the first five terms is:
1 point
Option 1
Option 2
Option 3
Option 4
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18.
1 point
A.P.
G.P.
H.P.
None of these
Clear selection
19 .There are four arithmetic means between2 and -18. The means are
1 point
-4, -7, -10, -13
1, -4, -7, -10
-2, -5, -9, -13
-2, -6, -10, -14
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20.
Which of the following is true?
1 point
Option 1
Option 2
Option 3
Option 4
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21.
1 point
Option 1
Option 2
Option 3
Option 4
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22. The coordinates of P and Q are (-3, 4) and (2, 1) respectively. If PQ is extended to R such that PR = 2QR, then what are the coordinates of R?
1 point
(3, 7)
(2, 4)
(-7, 2)
(7, -2)
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23.
A conic section with eccentricity e is a parabola if :
1 point
e = 0
e < 1
e > 1
e = 1
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24)
The equation of the hyperbola with vertices (3, 0) , (-3,0) and semi-latus rectum 4 is given by:
1 point
Option 1
Option 2
Option 3
Option 4
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25.
1 point
1
2
-1
4
Clear selection
26.The length of the semi-latus rectum of an ellipse is one third of its major its eccentricity would be
1 point
Option 1
Option 2
Option 3
Option 4
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27.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
28.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
29.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
30.
1 point
k = 0 or -1
k = 1 or -1
k = 0 or -3
k = 3 or -3
Clear selection
31.
What is the angle between the lines 6x = 4y = 3z and the plane 3x + 2y – 3z = 4?
1 point
0
π/6
π/3
π/2
Clear selection
32.
1 point
1
0
-1
None of these
Clear selection
33.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
34.
1 point
1
2
3
4
Clear selection
35.
1 point
a = 2, b = 3
a = 3, b = 2
a = -2, b = -3
a = -3, b = -2
Clear selection
36.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
37.The function f(x) = tanx – x
1 point
Always increases
Always decreases
Never decreases
Sometimes increases and sometimes decreases
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38.
The maximum area of the rectangle inscribed in a circle of diameter R is
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
39.
Maximum value of f(x)=Sin x + Cos x is
1 point
√2
2
1/√2
1
Clear selection
40.
1 point
1/2
3/2
2
1
Clear selection
41.
1 point
2
1
1/4
0
Clear selection
42.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
43.
1 point
π/4
π/2
π
2π
Clear selection
44.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
45.
The area bounded by the curve y = x sinx and the x-axis between x = 0 and x = 2 is
1 point
2π
3π
4π
5π
Clear selection
46.
1 point
2/3
4/3
8/3
16/3
Clear selection
47.
The degree and order of the differential equation of all parabolas whose axis is x – axis , are
1 point
2, 1
1, 2
3, 2
None of these
Clear selection
48.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
49.
1 point
2π/5
π/5
π/15
π/10
Clear selection
50.
1 point
( 2, 4 )
( 1, 4 )
( 3, 4 )
( 1, 3 )
Clear selection
51. How many 10 digit numbers can be written by using the digits 1 and 2:
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
52.
1 point
3
1/3
-1/3
None of these
Clear selection
53.
1 point
4
8
9
10
Clear selection
54.
1 point
11
12
23
22
Clear selection
55.
The mean of six numbers is 30. If one number is excluded, the mean of the remaining numbers is 29. The excluded number is
1 point
29
30
35
45
Clear selection
56.
Two events A and B have probabilities 0.25 and 0.50 respectively. The probability that both A and B occur is 0.14. Then the probability that neither A nor B occur is
1 point
0.39
0.25
0.11
None of these
Clear selection
57.
1 point
1/2
1/3
1/4
2/3
Clear selection
58. There are 5 pairs of shoes in a cupboard from which 4 shoes are picked at random. The probability that there is at least one pair is
1 point
8/21
11/21
13/21
12/31
Clear selection
59.
The system of linear equations: x + y + z = 2, 2x + y – z = 3, 3x + 2y + kz = 4 has a unique solution if
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
60.
1 point
Option 1
Option 2
Option 3
Option 4
Clear selection
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