Discussion
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- Question
In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?
Options- A. 4! x 4!
- B. 5! x 5!
- C. 4! x 5!
- D. 3! x 4!
- Correct Answer
- 4! x 5!
ExplanationThe word EDUCATION is a 9 letter word, with none of the letters repeating.
The vowels occupy 3rd,5th,7th and 8th position in the word and the remaining 5 positions are occupied by consonants
As the relative position of the vowels and consonants in any arrangement should remain the same as in the word EDUCATION, the vowels can occupy only the afore mentioned 4 places and the consonants can occupy1st,2nd,4th,6th and 9th positions.
The 4 vowels can be arranged in the 3rd,5th,7th and 8th position in 4! Ways.
Similarly, the 5 consonants can be arranged in1st,2nd,4th,6th and 9th position in5! Ways.
Hence, the total number of ways = 4! × 5! - 1. A question paper consists of two sections having respectively 3 and 5 questions. The following note is given on the paper. "It is not necessary to attempt all the question". One question from each section is compulsory. In how many ways, a candidate can select the question?
Options- A. 38
- B. 217
- C. 256
- D. 320 Discuss
- 2. The median for the data 2, 4, 6, 8, 10, 12, 14 is
Options- A. 6
- B. 8
- C. 9.5
- D. 10 Discuss
- 3. The value of 47 / 10000 is?
Options- A. .0047
- B. .0470
- C. .00047
- D. .000047 Discuss
- 4. If 4x = 18y, then the value of ( x/y - 1) is
Options- A. 1 3
- B. 7 2
- C. 2 3
- D. 3 2 Discuss
- 5. If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
Options- A. 144
- B. 158
- C. 159
- D. 166 Discuss
- 6. .02 =(......?.....)%
Options- A. 20
- B. 2
- C. .02
- D. .2 Discuss
- 7. If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?
Options- A. 45
- B. 55
- C. 60
- D. 72 Discuss
- 8. 2?63 / 11 =233
Options- A. 4
- B. 3
- C. 6
- D. 5 Discuss
- 9. When 121012 is divided by 12, the remainder is
Options- A. 0
- B. 2
- C. 3
- D. 4 Discuss
- 10. Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
Options- A. 18 days
- B. 21 days
- C. 3 days
- D. 6 days Discuss
More questions
Correct Answer: 217
Explanation:
Here, we have two sections A and B. Section A has 3 question and B has 5 question and one question from each section is compulsory according to the given condition.
? Number of ways selecting one or more than one question from section A
= 23 - 1 = 7
Similarly, from section B = 25 - 1 = 31
According to the rule of multiplication, the required number of ways in which a candidate can select the question
= 7 x 31 = 217
Correct Answer: 8
Explanation:
4th observation i.e., 8 is the median.
Correct Answer: .0047
Explanation:
47/10000 = .0047
Correct Answer: 7 2
Correct Answer: 144
Explanation:
Correct Answer: 2
Explanation:
.02 =(2/100) x 100% =2%
Correct Answer: 60
Explanation:
Correct Answer: 5
Explanation:
Let N / 11 = 233
Then, N = 233 x 11 = 2563
? Missing digit is 5.
Correct Answer: 4
Explanation:
121012 = 12 x 10084 + 4
? remainder = 4
Correct Answer: 18 days
Explanation:
We have the important relation, More work, More time (days)
? A piece of work can be done in 6 days.
? Three times of work of same type can be done in 6 x 3
= 18 days
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