The first 5 odd natural numbers are written in every possible order. How many numbers can be formed if no repetition is allowed and what is their sum?
5! 6666600
5C1, 105
5!, 55555
None of these
The figure below shows the network connecting cities A, B, C, D, E and F. the arrows indicate permissible direction of travel. What is the number of distinct paths from A to F?
9
10
11
None of these
In a chess competition involving some boys n girls of a school, every student had to play exactly one game with every other student. It was found that in 45 games both the players were girls and in 190 games both were boys. The number of games in which one player was a boy and the other was a girl is
200
216
235
256
The probability of solving a question by three students is respectively. Probability of question is being solved is ____.
Comprehension
We are familiar with elementary conditional identities in a triangle. We know that A+B+C=180( in a triangle. General conditional identities can be derived by taking sine, cosine or tangent of both sides or taking sine, cosines, or tangents after transposing one angle to the other sied. We may also divide by 2 and follow the same steps.
In any triangle sin3(= sin(A-() sin (B-() sin(C-() then, cot( must be equal to
cotA cotB cotC
cotA + cotB + cotC
tan A + tan B + tan C
none of these
Solve: ( x + 2 ( = 3
x = 1 or x = (5
x = 3 or x = (3
x = (1 or x = 5
x ( 1 or x = (5
x ( 1 or x = (5
2/7th of a flag post was buried under earth during the process of fixing it. When 1/5th of it is pulled out 210 inches of the pole is still under the earth. Find the full length of the pole.
2000 inches
1500 inches
2500 inches
2450 inches
3000 inches
In a 26 question test, 5 points are deducted for each wrong answer and 8 points are credited for each correct answer. If the score was zero after having answered all the questions, how many of them were correct?
12
13
10
16
15
Six cows cost as much as nine bullocks. Eighteen bullocks cost as much as twenty-one horses; three horses cost as much as four camels. If the cost of one camel is 330$, find the cost of one cow.
770$
440$
330$
500$
750$
Albert reads 3/8 of a book on a day and 4/5 of the remainder on the second day. If the number of pages still unread is 65, how many pages does the book contain?
130
320
240
160
520
5x + 7y = 21 and 20x + ty = (18 form a system of equations. For which of the following values of t will the system of equations given have no solution?
14
21
28
(18
(21
If the population of bacteria during its first 10 months is increasing at a rate proportional to its number present, then how much the population of the bacteria will be after 6 months, if it is known that the population was 2 million at the beginning and 3 million three months later?
4.1 millions
3.5 millions
3.8 millions
4.5 millions
5.5 millions
The sum of the ages of a mother and daughter is 45 years. Five years ago, the product of their ages was four times the mother’s age at that time. Find the present age of the mother.
32 years
25 years
42 years
30 years
36 years
If f(x) = x + 4, g(x) = x2, find g[f((4)].
(4
4
0
16
(16
If the line 4x + 3y + 6 = 0 is perpendicular to 5x – ky + 7 = 0, find k.
20/3
3/20
(15/4
(4/15
15/4
If a line passes through (2,x), (5,y) and (-1,2), what is the value of
2x - y?
5
2
7
(2
6
What are the coordinates of a point on the X-axis which is equidistant from P(2,(5) and Q((2,9)?
(2,0).
(0,7).
(0,(7)
(7,0)
((7,0)
PQ is the diameter of a circle whose centre is O(4,(6). If the coordinates of Q are (2,4), what are the coordinates of P?
(16,(16)
(6,(16)
(6,(6)
(6,6)
((6,(6)
Find the fourth vertex of a parallelogram whose three vertices in order are A((3,(4), B(12,5) and C(14,12).
((1,(3)
(1,(3)
(1,3)
((1,3)
(1,4)
The centre of a circle is at the origin. Its radius is 5 units. A(3,y) is a point on the circle. Find y.
3
1
{3}
{0}
{3, –13}
none of these
If ?, ? are roots of ax2 + bx + c = 0, ac ( 0, then roots of cx2 + bx + a = 0 are
–?, –?
If the equation x2 – (k + 4)x + (4k + 1) = 0 has equal roots, then
k = 6
k = 2
k = 6, 2
k = ( 6
A
B
C
Triangle ABC has angle A=106
Angle B=31,AND BC=10cm
FIND THE ANGLE C
AND LENGHT OF AB,AND AC?
A
B
C
D
AB AND CD ARE PARALLEL AND ANGLE W=135 degrees and angle Z=147 degrees,find ANGLE X?
A
M
N
B
C
=
115 degrees
127
deg
TWO angles as shown in the figure are given,find the interior angles of TRIANGLE AMN(A,M,N) From this data in degrees?