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Question 1
If α and β are roots of the equation x2 + bx + c =0, find the value of 
?
? Question 2
If ax = b, by = c, cz = a, then the value of xyz is:
Question 3
Out of a sum of Rs.640, a part was lent at 6% simple interest and the other at 9% simple interest. If the interest on the first part after 3 yr is equal to the interest on the second part after 6 yr, then what is the second part?
Question 4
Circumference of front and back wheels of truck are 161/12 cm and 207/20cm respectively. At any moment, a chalk mark is put on the point of contact of each wheel with the ground. Find distance travelled by wheel so that both the chalk marks are again on the ground at the same time.
Question 5
If θ is an acute angle and tanθ + cotθ = 2; then the value of tan5θ + cot5 θ is
Question 6
If 
and 
, then the value of
is
and , then the value of isQuestion 7
If 2cosθ − sinθ = 1/√2 ; 0° < θ < 90°, the value of 2sinθ + cosθ is -
Question 8
A cow is tied on the corner of a rectangular field of size 30 m × 20 m by a 14 m long rope. The area of the region, that she can graze, is 
:
:Question 9
A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls is (Take 
)
)Question 10
The ratio of the base to the height of right angled triangle is 5 : 4 if the area of right angled triangle is 160 cm^2 , what is the height of triangle ?
Question 11
Which of the following statement is incorrect?
Question 12
ABCD is a square. F is the mid point of AB. BE=1/3 BC. If Area of triangle FBE=108sqcm then find AC
Question 13
For which value of k, the points (1, 5), (k, –1) and (2, 7) will be collinear.
Question 14
The following data regarding the number of plants in 20 houses in a locality. What is the value of 
Question 15
What is the mode of data given below
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Dec 13CDS & Defence
