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- Question
In the question, two equations I and II are given. You have to solve both the equations and give answer x2-11x+28=0y2-18y+81=0
Options- A. x > y
- B. x < y
- C. x=y, or relation cannot be established between x and y
- D. x ? y
- Correct Answer
- x < y
Explanationx2 ? 11x + 28=0
x2 ? 7x ? 4x + 28=0
x (x-7) ? 4 (x-7)=0
(x-4) (x-7)=0 x=4, 7
y2 ? 18y + 81=0
y2 ?9y ? 9y + 81=0
y (y-9) ? 9 (y-9)=0
(y-9) (y-9)=0 y=9, 9
So, x<y.
- 1. 9997 x 10003 = ?
Options- A. 9999991
- B. 99999911
- C. 99999991
- D. 9999911 Discuss
- 2. If (-1/2) * ( x - 5) + 3 = -5/2, then what is the value of x?
Options- A. 16
- B. 4
- C. -6
- D. -4 Discuss
- 3. What is the value of Cot 45° + Cosec 60°?
Options- A. (?6 + 1)/?3
- B. (1 + ?3)/2
- C. 5/?3
- D. (?3 + 2)/?3 Discuss
- 4. Two trains are moving in the opposite direction at speed of 30 km/hr and 45 km/hr respectively, whose lengths are 450 m and 550 m respectively. What is the time taken (in seconds) by slower train to cross the faster train?
Options- A. 48
- B. 54
- C. 62
- D. 72 Discuss
- 5. If a + b = 4 and ab = 3, then what is the value of a3 + b3 ?
Options- A. 21
- B. 17
- C. 28
- D. 31 Discuss
- 6. Excluding stoppages, the speed of a train is 120 kmph and including stoppages, it is 50 kmph. For how many minutes does the train stop per hour?
Options- A. 25
- B. 40
- C. 35
- D. 20 Discuss
- 7. If 5x - (1/2)(2x -7) = 5.5, then what is the value of x?
Options- A. 3/2
- B. 1/2
- C. -1/2
- D. -3/2 Discuss
- 8. A Group consists of 4 couples in which each of the 4 persons have one wife each. In how many ways could they be arranged in a straight line such that the men and women occupy alternate positions?
Options- A. 1152
- B. 1278
- C. 1296
- D. None of these Discuss
- 9. Two trains move from stations M and N. Both trains move towards each other at speeds of 54 km/hr and 63 km/hr respectively. When they meeteach other, the second train has travel 100 km more than the first. What is the distance (in km) between M and N
Options- A. 600
- B. 700
- C. 1300
- D. 1500 Discuss
- 10. A train takes 10 sec to cross a bridge of length 100 m travelling at 90 kmph. Find the length of the train in meters.
Options- A. 130
- B. 120
- C. 140
- D. 150 Discuss
More questions
Correct Answer: 99999991
Correct Answer: 16
Correct Answer: (?3 + 2)/?3
Correct Answer: 48
Correct Answer: 28
Correct Answer: 35
Correct Answer: 1/2
Correct Answer: 1152
Explanation:
Case I : MW MW MW MW
Case II: WM WM WM WM
Let us arrange 4 men in 4! ways, then we arrange 4 women in 4P4 ways at 4 places either left of the men or right of the men. Hence required number of arrangements
Correct Answer: 1300
Correct Answer: 150
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