Evaluate the following.
sin 25° sin 65° – cos 25° cos 65°.
(A) 4
(B) 1
(C) 3
(D) 0
A man can row 10 km/h in still water. When the river is running at a speed of 4.5 km/h, then it takes him 2 h to row to a place and comes back to the initial point . How far is the place (in km) (rounded off to two decimal places)?
(A) 5.50
(B) 8.98
(C) 7.98
(D) 6.25
For what value of m will the system of equations 17x+my+102=0 and 23x+299y+138=0 have infinite number of solutions?
(A) 221
(B) 223
(C) 220
(D) 219
40 litres of milk are kept in a container. 4 litres of milk were removed from this container and replaced with water. This procedure was performed two more times. How much milk does the container now hold?
(A) 30 litres
(B) 34.23 litres
(C) 29.16 litres
(D) 32 litres
if
(A) 45° and 15°
(B) 15° and 45°
(C) 30° and 30°
(D) 60° and 30°
If interest be compounded half-yearly, then find the compound interest on ₹8,000 at the rate of 20% per annum for 1 year.
(A) ₹1,675
(B) ₹1,690
(C) ₹1,685
(D) ₹1,680
A circle touches all four sides of a quadrilateral ABCD. If AB = 18 cm, BC = 21 cm and = 15 cm, then length CD is:
(A) 16 cm
(B) 14 cm
(C) 12 cm
(D) 18 cm
Find the value of given expression.
30 – [40 – {56 – (25 – 13 – 12)}]
(A) 38
(B) 22
(C) 14
(D) 46
If radius of a sphere is decreased by 48%, then by what percent does its surface area decrease?
(A) 82.91%
(B) 72.96%
(C) 78.98%
(D) 86.26%
The product of the two numbers is 1500 and their HCF is 10. The number of such possible pairs is/are:
(A) 1
(B) 3
(C) 4
(D) 2
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