If log\(_{x^{\frac{1}{2}}}\)64 = 3, find the value of x
Απάντηση
(B)
16
9
If \(\frac{1+\sqrt{2}}{1-\sqrt{2}}\) is expressed in the form of x+y√2 find the values of x and y
Απάντηση
(A)
(-3, -2)
10
If X = {n\(^2\) + 1:n = 0,2,3} and Y = {n+1:n=2,3,5}, find X∩Y.
Απάντηση
(C)
∅
11
A book seller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books. How many customers has he altogether?
Απάντηση
(B)
40
12
Make Q the subject of formula when \(L=\frac{4}{3}M\sqrt{PQ}\)
Απάντηση
(A)
\(\frac{9L^2}{16M^2P}\)
13
If 2x\(^2\) - kx - 12 is divisible by x-4, Find the value of k.
The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term.
Απάντηση
(D)
-24
20
A binary operation * is defined on the set of positive integers is such x*y = 2x-3y+2 for all positive integers x and y. The binary operation is?
Απάντηση
(B)
neither commutative nor closed on the set of positive integers
21
A binary operation on the real set of numbers excluding -1 is such that for all m, n ∈ R, mΔn = m+n+mn. Find the identity element of the operation.
Απάντηση
(B)
zero
22
In the diagram above, PQ//RS. The size of the angle marked x is?
Απάντηση
(B)
80o
23
Find the exterior angle of a 12 sided regular polygon
Απάντηση
(D)
30o
24
In the diagram above ∠OPQ is?
Απάντηση
(B)
53o
25
Find the area of the figure above
[π = 22/7]
Απάντηση
(D)
84.8 cm2
26
Find the angle subtended at the center of a circle by a chord which is equal in length to the radius of the circle.
Απάντηση
(C)
60o
27
Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters
[π = 22/7]
Απάντηση
(A)
44,000 liters
28
The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through?
Απάντηση
(B)
(5,2)
29
Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0
Απάντηση
(B)
2/3
30
If sinθ = 3/5. Find Tanθ
Απάντηση
(A)
3/4
31
Find the derivative of \(y=\frac{x^7 - x^5}{x^4}\)
Απάντηση
(C)
3x2-1
32
Differentiate sin x - x cos x
Απάντηση
(B)
x sin x
33
Find the minimum value of the function y = x(1+x)
Απάντηση
(A)
-1/4
34
Evaluate \(\int_1 ^2(6x^2-2x)dx\)
Απάντηση
(D)
11
35
Evaluate \(\int^{\frac{\pi}{2}} _{\frac{-\pi}{2}} cos x dx\)
Απάντηση
(C)
2
36
On a pie chart there are six sectors of which four angles are 30°, 45°, 60°, 90° and the remaining two angles are in the ratio 2:1. Find the smallest angles of the remaining two angles.
Απάντηση
(C)
45o
37
The bar chart above shows the number of times the word "a, and , in, it, the ,to" appear in a paragraph in a book.
What is the ratio of the least frequent word to the most frequent word?
Απάντηση
(A)
1/6
38
What is the mean of the data t, 2t-1, t-2, 2t -1, 4t and 2t+2?
Απάντηση
(D)
2t-1/3
39
Find the median of 4, 1, 4, 1, 0, 4, 4, 2 and 0
Απάντηση
(C)
2
40
If x > 0, find the range of number x-3, 3x+2,x-1, 4x, 2x-1, x-2, 2x-2, 3x and 3x+1
Απάντηση
(A)
3x+3
41
Find the mean deviation of 2, 4, 5, and 9
Απάντηση
(B)
2
42
In how many ways can the letters of the word ACCEPTANCE be arranged?
Απάντηση
(A)
10! / (2!2!3!)
43
Find the number of ways of selecting 6 out of 10 subjects for an examination
Απάντηση
(D)
210
44
The probability of picking a letter T from the word OBSTRUCTION is?
Απάντηση
(B)
2/11
45
The result of rolling a fair die 150 times is as summarized in the table above. What is the probability of obtaining a 5?
