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- Question
- In how many ways, can 24 persons be seated around a circular table if there are is 13 seats?
Options- A. 24! / [13 x 11! ]
- B. 22! / [14 x 12!]
- C. 23! / [13 x 11!]
- D. 24! / [12 x 12!]
- Correct Answer
- 24! / [13 x 11! ]
ExplanationFirst , we select 13 persons out of 24 persons in 24 C13 ways.
Now, these 13 persons can be seated in 12! ways around a table .
So required number of ways = 24 C13 x 12!
= [24! / {13!(24 - 13)!}] x 12!
= [24! / {13! x 11!}] x 12!
= 24! / (13 x 11!) - 1. The value of 1 + 1/(4 x 3) + 1/(4 x 3 2) +1/(4 x 3 3) up to four places of decimals is?
Options- A. 1.1202
- B. 1.1203
- C. 1.1204
- D. None of these Discuss
- 2. What least number must be added to 1056 get a number exactly divisible by 23?
Options- A. 21
- B. 25
- C. 3
- D. 2 Discuss
- 3. 15 7/ 8 x 23 1/ 5 + 3 4/ 5 x 5 1/ 8 =?
Options- A. 360
- B. 350
- C. 370
- D. 385 Discuss
- 4. If one cap is picked at random, what is the probability that it is either blue or yellow?
Options- A. 2/9
- B. 1/4
- C. 3/8
- D. 6/11 Discuss
- 5. 0.04 x 0.0162 is equal to:
Options- A. 6.48 x 10-3
- B. 6.48 x 10-4
- C. 6.48 x 10-5
- D. 6.48 x 10-6 Discuss
- 6. If a x = b, b y = c, c z = a, then the value of xyz is?
Options- A. 0
- B. 1
- C. 2
- D. 4 Discuss
- 7. The letters B, G, I, N, R are rearranged to form the word 'BRING'. Find its probability?
Options- A. 1/120
- B. 1/54
- C. 1/24
- D. 5/5 x 42 Discuss
- 8. Find the HCF of 1/2, 3/4, and 4/5?
Options- A. 1/20
- B. 1/40
- C. 20
- D. 15 Discuss
- 9. A person covers a distance of 100 kms in 10 hours, partly by walking at 7 km/hr and rest by running at 12 km/hr. Find the distance covered in each part.
Options- A. 48 kms
- B. 72 kms
- C. 108 kms
- D. 124 kms Discuss
- 10. If log 10 x = 7, then value of x is?
Options- A. 1010
- B. 107
- C. 710
- D. None of these Discuss
More questions
Correct Answer: 1.1203
Explanation:
Given expression = (108 + 9 + 3 +1) / 108
= 121 / 108
= 1.1203
Correct Answer: 2
Explanation:
On dividing 1056 by 23, we get 21 as remainder
? Required number to be added = (23 - 21 ) = 2.
Correct Answer: 385
Explanation:
? = 127/8 x 116/5 + 19/5 x 41/8
= 14732/40 + 779/40 = 15511/40 = 387.7 ? 385
Correct Answer: 1/4
Explanation:
Total number of caps = 12
n(s) = 12c1 = 12
Out of ( 2 blue + 1 yellow) caps, number of ways to pick one cap n(E) = 3c1 = 3
? Required probability = p(E) = n (E) / n(s) = 3/12 = 1/4
Correct Answer: 6.48 x 10-4
Explanation:
So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10 -4
Correct Answer: 1
Explanation:
? ax = b
? loga b = x
? by = c
? logb c = y
? cz = a
? logc a = z
? xyz = logab x logbc x logca = 1
Correct Answer: 1/120
Explanation:
The five letters could be arrange in 5! ways.
One of them is 'BRING'.
? Required probability = 1/5!
= 1/(5 x 4 x 3 x 2 x 1)
= 1/120
Correct Answer: 1/20
Explanation:
Required HCF = (HCF of numerators) / (LCM of denominators)
= (HCF of 1, 3 and 4) / (LCM of 2, 4, and 5)
= 1/20
Correct Answer: 72 kms
Explanation:
Average speed = (100 / 10) = 10 km/hr.
Ratio of time taken at 7 km/hr to 12 km/hr = 2 : 3
Time taken at 7 km/hr = 2 (2 + 3) × 10 = 4 hrs.
Distance covered at 7 km/hr = 7 × 4 = 28 km.
Distance covered at 12 km/hr = 100 ? 28 = 72 km.
Correct Answer: 107
Explanation:
log10x = 7
? x = 107
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