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- Question
- A person distributes his pens among four friends A, B, C and D in the ratio 1/3 : 1 / 4 : 1/5 : 1/6. What is the minimum number of pens that the person should have?
Options- A. 75
- B. 45
- C. 57
- D. 65
- Correct Answer
- 57
ExplanationThe ratio among A, B, C and D = 1/3 : 1 / 4 : 1/5 : 1/6
On rearranging the ratio = 60/3 : 60/4: 60/5 : 60/6 = 20 : 15 : 12 : 10
So minimum number of pens can be when the common ration is 1.
So minimum number of pen = 20 + 15 + 12 + 10 = 57 - 1. Expanded and simplification of (x + 3)(x - 1) will be equal to
Options- A. x2+ 2x - 3
- B. x2 + 3x + 2
- C. x2 - 2x + 3
- D. x2 + 3x - 2 Discuss
- 2. If sinC + sinD =X, then the value of X is?
Options- A. 2cos[(C+D)/2]sin[(C-D)/2]
- B. 2sin[(C+D)/2]cos[(C-D)/2]
- C. 2cos[(C+D)/2]cos[(C-D)/2]
- D. 2sin[(C+D)/2]sin[(D-C)/2] Discuss
- 3. Find co-ordinates of the mid point of the segment joining points C (3,-5) and D (-7,3).
Options- A. (-2, -1)
- B. (5, -4)
- C. (-5, 4)
- D. (2, 1) Discuss
- 4. A line passing through the origin perpendicularly cuts the line 2x + 3y = 6 at point M. Find M?
Options- A. (6/11, 9/11)
- B. (6/7, 9/7)
- C. (6/11, -9/11)
- D. (-6/7, 9/7) Discuss
- 5. If 2x + 3(5-2x) > 2 - 3x < 2x - x/3, then x can take which of the following values?
Options- A. 0
- B. -2
- C. -4
- D. 2 Discuss
- 6. If x + y = 12 and xy = 32, then what is the value of x2 + y2 ?
Options- A. 24
- B. 144
- C. 128
- D. 80 Discuss
- 7. If cosC + cosD = x, then value of x is
Options- A. 2cos[(C+D)/2]cos[(C-D)/2]
- B. 2sin[(C+D)/2]sin[(C-D)/2]
- C. 2cos[(C+D)/2]sin[(C-D)/2]
- D. 2sin[(C+D)/2]cos[(C-D)/2] Discuss
- 8. What is the value of cosec -150°?
Options- A. -2
- B. 2/?3
- C. 2
- D. -2/?3 Discuss
- 9. If tanA - cotA = x, then value of x is?
Options- A. (1 + 2cos2A)/(sinA cosA)
- B. (sinA cosA)/(1 - 2cos2A)
- C. (sinA cosA)/(1 + 2cos2A)
- D. (1 - 2cos2A)/(sinA cosA) Discuss
- 10. Directions: What value should come in place of question mark (?) in the following question? 69÷3×0.85+24.5-13.8=?
Options- A. 31.75
- B. 30.25
- C. 28.95
- D. 35.25 Discuss
More questions
Correct Answer: x2+ 2x - 3
Correct Answer: 2sin[(C+D)/2]cos[(C-D)/2]
Correct Answer: (-2, -1)
Correct Answer: (6/11, 9/11)
Correct Answer: 2
Correct Answer: 80
Correct Answer: 2cos[(C+D)/2]cos[(C-D)/2]
Correct Answer: -2
Correct Answer: (1 - 2cos2A)/(sinA cosA)
Correct Answer: 30.25
Explanation:
= (69x85/3x100) + 10.7
= 30.25.
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