What is the value of sin (B ? C) cos (A ? D) + sin (A ? B) cos (C ? D) + sin (C

4. ABC is a right angled triangle. ?BAC = 90 deg and ?ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?
Options
A. 1 : 2
B. 1 : ?3
C. 2 : ?3
D. 2 : 3

Discuss

Correct Answer: 1 : ?3

5. Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?
Options
A. 415
B. 465
C. 440
D. Cannot be determined

Discuss

Correct Answer: 465

6. What is the value of cos [(180 ? ?)/2] cos [(180 ? 9?)/2] + sin [(180 ? 3?)/2] sin [(180 ? 13?)/2]?
Options
A. sin 2? sin 4?
B. cos 2? cos 6?
C. sin 2? sin 6?
D. cos 2? cos 4?

Discuss

Correct Answer: cos 2? cos 6?

7. What is the value of [tan2 (90 ? ?) ? sin2 (90 ? ?)] cosec2 (90 ? ?) cot2 (90 ? ?)?
Options
A. 0
B. 1
C. -1
D. 2

Discuss

Correct Answer: 1

8. Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?
Options
A. xy
B. ?( y/ x)
C. ?( x/ y)
D. ?( xy)

Discuss

Correct Answer: ?( xy)

9. What is the value of 4cos90-A sin390+A - 4sin90+A cos390-Acos180+8A2 ?
Options
A. 1
B. -1
C. 0
D. 2

Discuss

Correct Answer: -1

10. The cube root of .000216 is:
Options
A. .6
B. .06
C. 77
D. 87

Discuss

Correct Answer: .06

Explanation:

${(. 000216)}^{\frac{1}{3}} = {(\frac{216}{10^{6}})}^{\frac{1}{3}} = {[\frac{6 * 6 * 6}{10^{2} * 10^{2} * 10^{2}}]}^{\frac{1}{3}} = [\frac{6}{10^{2}}] = 0.06$

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