Simplification problems
- 1. The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower in meters is
Options- A. ?3
- B. 5?3
- C. 10?3
- D. 20?3 Also asked in: Bank Exams
Correct Answer: 10?3
- 2. If 5 sec ? ? 3 tan ? = 5, then what is the value of 5 tan ? ? 3 sec ??
Options- A. 1
- B. 2
- C. 3
- D. 4 Also asked in: Bank Exams
Correct Answer: 3
- 3. If 4(x+y) = 256 and (256)(x-y) = 4 , then what is the value of x and y?
Options- A. 17/8, 15/8
- B. 17/4, 15/4
- C. 9/17, 15/17
- D. 8/17, 8/15 Also asked in: Bank Exams
Correct Answer: 17/8, 15/8
- 4. If m n = 2 , mn = 15 , (m , n > 0) then the value of m2-n2m3-n3
Options- A. 1856
- B. 1658
- C. 1586
- D. 1568 Also asked in: Bank Exams
Correct Answer: 1568
- 5. If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of x3 + y3+ z3 ?
Options- A. 104
- B. 144
- C. 196
- D. 288 Also asked in: Bank Exams
Correct Answer: 288
- 6. If x3 ? y3 = 81 and x ? y = 3, then what is the value of x2 + y2 ?
Options- A. 18
- B. 21
- C. 27
- D. 36 Also asked in: Bank Exams
Correct Answer: 21
- 7. If cot A = [sin B/(1 ? cos B)], then what is the value of cot 2A?
Options- A. cot(B/2)
- B. cot 2B
- C. cot B
- D. tan B Also asked in: Bank Exams
Correct Answer: cot B
- 8. For the inequation x^2?7x + 12 > 0, which one of the following is correct ?
Options- A. 3 < x < 4
- B. ?? < x < 3 only
- C. 4 < x < ? only
- D. ?? < x < 3 or 4 < x < ? Also asked in: Bank Exams
Correct Answer: ?? < x < 3 or 4 < x < ?
- 9. If tan x = 1, 0 < x < 90, then what is the value of 2 sin x cos x?
Options- A. 1/2
- B. 1
- C. ?3/2
- D. ?3 Also asked in: Bank Exams
Correct Answer: 1
Explanation:
tan x = 1
then x = 45
2sin x. cos x = 2× 1/?2 x 1/?2 = 1
an x = 1
then
x = 45
o
2sin x. cos x =
2
×
- 10. What is the value of sin 46 cos 44+ cos 46 sin 44?
Options- A. 2
- B. sin 2
- C. 1
- D. 0 Also asked in: Bank Exams
Correct Answer: 1
Explanation:
sin 46. cos 44+ cos 46. sin 44
sin 46. sin (90 -44)+ cos 46. cos (90 -44)
= sin^2 46 + cos^2 46
= 1
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Programming
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