Math21-31

Mock Test on Mathematics

[1-10]   [11-20]   [21-31]  

21.If P(n) is the statement “n(n + 1) (n + 2) is divisible by 12”, then which of the following is not true?
P(2)
P(3)
P(4)
P(5)

22. At what point the Centigrade and the Fahrenheit temperatures are the same?
10 degree
0 degree
-10 degree
-40 degree

23. The chance of throwing 12 in a single throw with three dice is
12/216
21/216
15/216
25/216

24. The number of solutions of the equation tan x + sec x = 2 cos x, lying in the interval [0, 2 ] is
0
1
2
3

25. If the sum of the areas of a cube and a sphere is constant, the ratio of an edge of the cube to the diameter of the sphere, when the sum of their volume is minimum, is
1:1
2:1
1:3
None of these

26.If x : y = 3 : 4, then the ratio of 7x – 4y : 3x + y is
5/18
Copper
5/13
None of the above

27. A relation R is said to be partial order if
R is reflexive, symmetric and transitive
R is reflexive, asymmetric and transitive
R is reflexive, antisymmetric and transitive
R is reflexive, antisymmetric but not transitive

28. A speaks truth 3 times out of 4 and B speaks 7 times out of 10. They both assert that a white ball has been drawn from a bag containing 6 different color balls. Find the probability of the truth of the assertion.
21/40
35/36
39/40
None of the above 7/12

29. tan A + 2 tan 2A + 4 tan 4A + 8 cot 8 A is equal to
tan 2A
cot A
sin 3A
None of the above

30.Ram pours four ounces of coffee in to an eight-ounces of coffee into an eight-ounce cup and four ounces of cream to a second cup of the same size. He then transfers half of the coffee from the 1st cup to the 2nd cup and after stirring it thoroughly, transfers half the liquid in the 2nd cup back to the 1st. What percentage of liquid in the 1st cup is cream?
20
30
40
None of the above

31.A boatman rows 1km in 5 minutes, along the stream and 6 km in 1 hour against the stream. The speed of the stream is:
3 kmph
6 kmph
10 kmph
12 kmph

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