Discussion
Home ‣ Aptitude ‣ Permutation and Combination See What Others Are Saying!
- Question
How many arrangements of the letters of the word ?BENGALI? can be made if the vowels are never together.
Options- A. 120
- B. 640
- C. 720
- D. 540
- Correct Answer
- 720
ExplanationThere are 7 letters in the word ?Bengali of these 3 are vowels and 4 consonants.
Considering vowels a, e, i as one letter, we can arrange 4+1 letters in 5! ways in each of which vowels are together. These 3 vowels can be arranged among themselves in 3! ways.
Total number of words = 5! x 3!= 120 x 6 = 720
- 1.
?. 12 - 23 = 5?x ? x ? x
?. ? y - 5 ? y = 1 12 12 ? y
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 2. Raju runs 1250 meter on Monday and Friday. Another days he runs 1500 meter except for Sunday (He does not run on Sunday). How many kilometer will he run in 3 weeks (first day starting from Monday)?
Options- A. 12.5 Km
- B. 20.5 Km
- C. 8.5 Km
- D. 25.5 Km Discuss
- 3. 4 2/ 17 ÷ 1 2/ 5 x 2 2/ 33 =?
Options- A. 42/13
- B. 62/33
- C. 61/11
- D. 81/11 Discuss
- 4. The banker's discount on a bill due 6 months hence at 6% is Rs. 37.08. The true discount is?
Options- A. Rs. 6.18
- B. Rs. 12.36
- C. Rs. 48
- D. Rs. 36 Discuss
- 5. In an examination, 40% students failed in Hindi, 50% students failed in English. If 21% students failed in both the subjects, find the percentage of those who passed in Hindi.
Options- A. 31%
- B. 40%
- C. 55%
- D. 60% Discuss
- 6. Excluding stoppages, the speed of a train is 108 km/h and including stoppages, it is 90 km/h. For how many minute does the train stop per hour?
Options- A. 5
- B. 9
- C. 10
- D. 6 Discuss
- 7. A vertical pole is 75m high. Find the angle subtended by the pole a point 75 m away from its base.
Options- A. 30°
- B. 45°
- C. 60°
- D. 90° Discuss
- 8. When the sun is 30° above the horizontal, the length of shadow cast by a building 50 m high is :
Options- A. 50 m ?3
- B. 50?3 m
- C. 25 m
- D. 25?3 m Discuss
- 9. The banker's gain on a bill due 1 year 4 months hence at 7 1/ 2% per annum simple interest is Rs. 16. Find the sum?
Options- A. Rs. 1760
- B. Rs. 1560
- C. Rs. 1660
- D. Rs. 1860 Discuss
- 10. The ratio of father's age to the son's age is 4 : 1. The product of their ages is 196. the ratio of their ages after 5 years will be?
Options- A. 3 : 1
- B. 10 : 3
- C. 11 : 4
- D. 14 : 5 Discuss
More questions
Correct Answer: 1
Explanation:
Correct Answer: 25.5 Km
Explanation:
Raju runs on Monday and Friday = 1250 × 2 = 2500 m
On Tuesday, Wednesday, Thursday and Saturday,
Raju runs 1500 × 4 = 6000 m
In 1 week Raju runs 6000 + 2500 = 8500 m
In 3 weeks Raju runs 3 × 8500 = 25500 m = 25.5 K
Correct Answer: 62/33
Explanation:
Give expression
= 70/17 ÷ 7/5 x 68/33
= 70/17 x 5/7 x 68/33
= 200/33
= 62/33
Correct Answer: Rs. 36
Explanation:
T.D. = (B.D. X 100) / {100 + (R X T)}
= Rs. (37.08 x 100) / {100 + (6 x 1/2)}
= Rs. 36
Correct Answer: 60%
Explanation:
In 40% students failed Hindi then 60% students passed in Hindi.
Correct Answer: 10
Explanation:
Because of stoppages, train covers 18 km less per hour .
? Time taken to cover 18 km = 18/108 = 1/6 h = (1/6) x 60 = 10 min
Correct Answer: 45°
Explanation:
Let us draw a figure below as per given question.
Let AB = 75 m be the height of pole and C is a point on the ground such that BC = 75m
Now, from right triangle ABC.
tan ? = AB/BC = 75/75
? tan? = 1
? ? = 45°
Correct Answer: 50?3 m
Explanation:
Correct Answer: Rs. 1760
Explanation:
T.D = (16 x 100)/ (4/3 x 15/2) = Rs. 160
B.D. = Rs. 160 + Rs. 16 = Rs. 176
? Sum = [176 x 100] / [(4/3) x (15/2)] = Rs. 1760
Correct Answer: 11 : 4
Explanation:
Let father's age be 4T and son's age T years.
? 4T x T = 196
? T2 = 49
? T = 7
Father's age after 5 years = (4T + 5) = 33 years
Son's age after 5 years = (T + 5) = 12 years
? Ratio of their ages after 5 years = 33 : 12 = 11 : 4
Comments
There are no comments.More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.