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- Question
- If nC r - 1 = 36, nC r = 84 and nC r + 1 = 126 then?
Options- A. n = 8, r = 4
- B. n = 9, r = 3
- C. n = 7, r = 5
- D. None of these
- Correct Answer
- n = 9, r = 3
ExplanationnCr - 1 = 36, nCr = 84 and nCr + 1 = 126
? nCr / nCr - 1 = 84/36
? 3n - 10r + 3 = 0 ....(i)
nCr + 1 / nCr = 126/84
? 2n - 5r - 3 = 0 .............(ii)
From (i) and (ii) r = 3, n = 9 - 1. A man reduces his travelling time by a fraction of 2/5, as a result the distance covered by the man is increased by 20%, find the percentage increase in the speed of the man ?
Options- A. 77%
- B. 88%
- C. 100%
- D. 99% Discuss
- 2. Find the odd word/letters/number pair from the given alternatives. (A) AE (B) CG (C) JN (D) MO
Options- A. A
- B. B
- C. C
- D. D Discuss
- 3. 3 brothers divided Rs. 1620 among them in such a way that the share of second is equal to 5/13 of share of other two, combined. What is the share of the second one?
Options- A. Rs. 1170
- B. Rs. 450
- C. Rs. 540
- D. Rs. 500 Discuss
- 4. A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?
Options- A. 1/6
- B. 2/3
- C. 14/33
- D. 5/6 Discuss
- 5. Find the odd word/letters/number from the given alternatives.
Options- A. DAEH
- B. KIMP
- C. HEIL
- D. FCGJ Discuss
- 6. Rs 6300 is divided among A, B and C in the ratio of 1/2 : 1 : 3/5. What is the share (in Rs) of B?
Options- A. 3300
- B. 2700
- C. 3000
- D. 4200 Discuss
- 7. Three unbiased coins are tossed. What is the probability of getting at most two heads?
Options- A. 3/4
- B. 7/8
- C. 1/2
- D. 1/4 Discuss
- 8. A missile travels at 1278 km/h. How many metres does it travel in one second?
Options- A. 355 metres
- B. 358 metres
- C. 345 metres
- D. 313 metres Discuss
- 9. Select the odd letters from the given alternatives.
Options- A. ADG
- B. HKN
- C. ORU
- D. BDF Discuss
- 10. A sum of Rs 3170 is divided among X, Y and Z such that if Rs 13, Rs 12 and Rs 18 will be diminished from the shares of X, Y and Z respectively, then their shares will be in the ratio 20 : 18 : 21. What is the initial share (in Rs) of Z?
Options- A. 1131
- B. 1530
- C. 910
- D. 1350 Discuss
More questions
Correct Answer: 100%
Correct Answer: D
Correct Answer: Rs. 450
Correct Answer: 2/3
Explanation:
Possible outcomes = (RY, YP, PR)
2C1 4C1 + 4C1 6C1 + 6C1 2C1
Required probability = (2C1 4C1 + 4C1 6C1 + 6C1 2C1)/(12C2)
= 8 + 24 + 12/66
= 44/66
= 2/3.
Correct Answer: KIMP
Correct Answer: 3000
Correct Answer: 7/8
Explanation:
Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}
Let E = event of getting at most two heads.
Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.
P(E) =n(E)/n(S)=7/8.
Correct Answer: 355 metres
Correct Answer: BDF
Correct Answer: 1131
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