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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 boy found the answer for the question "Subtract the sum of 1/4 and 1/5 from unity and express the answer in decimals" as 0.45. The percentage of error in his answer was
Options- A. (100/11) %
- B. 50%
- C. 10%
- D. (200/11)% Discuss
- 2. The sum of the squares of two numbers is 3341 and the diference of their squares is 891. The numbers are :
Options- A. 35 and 46
- B. 35 and 50
- C. 40 and 55
- D. 45 and 60 Discuss
- 3. Select the related word/letters/number from the given alternatives. 17: 71 :: 35: ?
Options- A. 69
- B. 56
- C. 60
- D. 53 Discuss
- 4. What is the value of sec 330°?
Options- A. 2
- B. -2/?3
- C. -2
- D. 2/?3 Discuss
- 5. How many numbers up to 101 and 300 are divisible by 11 ?
Options- A. 18
- B. 20
- C. 19
- D. 17 Discuss
- 6. A dinner set is quoted for Rs 1500. A customer pays Rs 1173 for it. If the customer got a series of two discounts and the rate of first discount is 15% then the rate of second discount was,
Options- A. 15%
- B. 7%
- C. 9%
- D. 8% Discuss
- 7. Coefficient of x2 in (x + 9)(6 - 4x)(4x - 7) is
Options- A. 216
- B. -4
- C. -92
- D. 108 Discuss
- 8. Fill in the blank with a suitable word from the given words. All the efforts of the batsmen went _____ vain as the bowlers failed to perform well.
Options- A. for
- B. off
- C. in
- D. out Discuss
- 9. A man spend 7.5% of his money and after spending 75% of the remaining, he had Rs. 370 left. How much money did he have
Options- A. 1200
- B. 1600
- C. 1500
- D. 1400 Discuss
- 10. If a watch is being sold at Rs 7,225 which is marked at Rs 8,500, then what is the discount (in %) at which the watch is being sold?
Options- A. 24
- B. 15
- C. 25
- D. 20 Discuss
More questions
Correct Answer: (200/11)%
Correct Answer: 35 and 46
Explanation:
Let the numbers be x and y. Then,
x^2+y^2=3341......(1)
x^2-y^2=891......(2)
Adding (i) and (ii), we get : 2x^2=4232 or x^2= 2116 or x =46
Subtracting (ii) from (i), we get : 2y^2= 2450 or y^2 = 1225 or y = 35
So, the numbers are 35 and 46
Correct Answer: 53
Correct Answer: 2/?3
Correct Answer: 18
Explanation:
(300 ? 101)/11 = 199/11 = 18 1/11
18 Numbers.
Correct Answer: 8%
Correct Answer: -92
Correct Answer: in
Correct Answer: 1600
Correct Answer: 15
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