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Question 1
Simplify log216 + log1/216 – log416
Question 2
If , then P equals to:
Question 3
If a = 9, b=7 and c=5 then find the value of
Question 4
In an acute angled triangle ABC, if sin 2(A+B-C) = 1 and tan (B+C-A) = , then value of B is
Question 5
A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is α and that of the top of the flag staff is β. Then the height of the tower is
Question 6
The numerical value of:
Question 7
There is 40% increase in an amount in 10 years at simple interest. What will be the compound interest on Rs 25000 after 2 years at the same rate?
Question 8
To travel 660 km, an Express train takes 10 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 7 hours less than Rajdhani. The speed of Rajdhani is
Question 9
A cylindrical vessel of height 9 cm and radius 7 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 10 cm. what will be the height of this cone?
Question 10
The base of a right pyramid is a square of side 24cm long. If its height be 16cm, then the area of the lateral surface in square (in ) is:
Question 11
ABC is a right angled triangle. B being the right angle. Midpoints of BC and AC are respectively B' and A'. Area of ∆A'B'C' is
Question 12
O is the centre of a circle. AB is a chord of the circle but not its diameter. OC is perpendicular to AB. if OC = CB and radius of the circle be 7 cm, then the length of AB is
Question 13
ΔABC is right angled at B BD is the altitude. AD is 18 cm and DC is 50 cm. Find length of BD?
Question 14
A set of observations is defined as . If mean of these observations is What will be the mean of
Question 15
Which one among the following statements is correct?
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Nov 3CDS & Defence