Simplification problems
- 1. Suppose 0 < ? < 90, then for every ? 4 sin2 ? + 1 is greater than or equal to ?
Options- A. 2
- B. 4 sin ?
- C. 4 cos ?
- D. 4 tan ? Also asked in: Bank Exams
Correct Answer: 4 sin ?
Explanation:
We know that,
Arithmetic mean ? Geometric mean
- 2. Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30 deg, and the angle of elevation to the top of the tower at C is 45 deg. What is the ratio of the height of towers at B and C?
Options- A. 1:?3
- B. 1:3
- C. 1:2
- D. 1:2?3 Also asked in: Bank Exams
Correct Answer: 1:3
Explanation:
Let the side of regular hexagon be ?a?
Let height of the tower 1 be h1 and tower 2 be h2
Height of tower 1 = h1 = (distance between A and B)* (tan 30o)= a.1/?3
Distance between A and C = 2*?3.a/2= ?3a
Height of tower 2 = h2 = (distance between A and C)* (tan 45o) = ?3a.1 = ?3a
Ratio of height of towers at B and C respectively =a/?3/?3a = 1/3.
- 3. What is the value of tan 1° tan 2° tan 3°....... tan 89° ?
Options- A. 0
- B. 1
- C. 2
- D. infinity Also asked in: Bank Exams
Correct Answer: 1
- 4. Which of the following pair of numbers is the solution of the equation 3x+2+ 3?x= 10 ?
Options- A. 0, 2
- B. 0, -2
- C. 1, -1
- D. 1, 2 Also asked in: Bank Exams
Correct Answer: 0, -2
- 5. If 3x - 4 > 2 - x/3 and 3x + 5 > 4x - 5; then find the value of x?
Options- A. 7
- B. 10
- C. -11
- D. 1 Also asked in: Bank Exams, CAT
Correct Answer: 7
- 6. 5 bottles cost as much as 2 bags. The cost of 15 bottles and 4 bags is Rs 2,000. What is the price (in Rs.) of a single bag?
Options- A. 200
- B. 215
- C. 240
- D. 250 Also asked in: Bank Exams
Correct Answer: 200
- 7. If 4(2x - 4) - 2 > 3x - 1 ? 4x - 7, then x can take which of the following values?
Options- A. 7
- B. 6
- C. 2
- D. 0 Also asked in: Bank Exams
Correct Answer: 6
- 8. If a + b = 11 and a2+ b2= 61 , then value of ab is
Options- A. 12
- B. 96
- C. 24
- D. 30 Also asked in: Bank Exams
Correct Answer: 30
- 9. What is the value of tan -240°?
Options- A. -?3
- B. 1/?3
- C. -1/?3
- D. ?3 Also asked in: Bank Exams
Correct Answer: -?3
- 10. tan(A/2) is equal to
Options- A. tanA/(1 + secA)
- B. 1/(cosecA + cotA)
- C. tanA/(1 + cosecA)
- D. 1/(secA + cotA) Also asked in: Bank Exams
Correct Answer: tanA/(1 + secA)
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