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Question 1
If 
then y is equal to
then y is equal to Question 2
If 
and 
; then (x + y) is equal to
and ; then (x + y) is equal to Question 3
If a = x + y , b = x - y , c = x + 2y , then a2 + b2 + c2 - ab - bc - ca is:
Question 4
Consider the following statements:
1) There is only value of x in the first quadrant that satisfies sinx + cosx = 2.
2) There is only one value of x in the first quadrant that satisfies sinx–cosx = 0
Which of the above is/are correct?
1) There is only value of x in the first quadrant that satisfies sinx + cosx = 2.
2) There is only one value of x in the first quadrant that satisfies sinx–cosx = 0
Which of the above is/are correct?
Question 5
The length of the shadow of a person s cm tall when the angle of elevation of the sun is 
is p cm. It is q cm when the angle of elevation of the sun is 
. Which one of the following is correct when 
= 3
?
is p cm. It is q cm when the angle of elevation of the sun is . Which one of the following is correct when = 3 ? Question 6
Radha can row 20 kmph upstream and 40 kmph downstream. Find the speed of Radha in still water and rate of stream?
Question 7
The wages of labourers in a factory has increased in the ratio 22 : 25 and their number decreased in the ratio 15:11. What was the original wage bill of the factory if the present bill is Rs. 5,000/-?
Question 8
A cone of height 25 cm and diameter 21 cm is mounted on a hemisphere of the same diameter. Find the volume of the solid thus formed? (Take n = 22/7)
Question 9
The area of a rectangle in 60 cm2 and its perimeter is 34 cm, then the length of the diagonal is
Question 10
The height of a right prism is 7 cm. The base of the prism is a square having diagonal 6 cm. Find the volume of prism.
Question 11
For triangle ABC, find equation of median AD if co-ordinates of A, B and C are (-1,-3), (5,-4) and (3,2) respectively?
Question 12
A, O, B are three points on a line segment and C is a point not lying on AOB. if ∠AOC = 40 and OX, OY are the internal and external bisector of ∠AOC respectively ,then ∠BOY is
Question 13
In figure 
if 
and 
then the value of x
if and then the value of x Question 14
What is the mean proportional between 
?
? Question 15
A new frequency distribution is constructured by doubling each frequency of the original distribution each frequency of the original distribution keeping the other entries intact. The following measures are computed for both the tables:
1) Airthmetic mean
2) Median
3) Harmonic mean
Which of the following statements with reference to above is correct?
1) Airthmetic mean
2) Median
3) Harmonic mean
Which of the following statements with reference to above is correct?
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Oct 10CDS & Defence
