Discussion
Home ‣ Aptitude ‣ Permutation and Combination See What Others Are Saying!
- Question
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
Options- A. 10080
- B. 4989600
- C. 120960
- D. None of these
- Correct Answer
- 120960
ExplanationIn the word 'MATHEMATICS', we treat the vowels AEAI as one letter.Thus, we have MTHMTCS (AEAI).
Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different.
∴ Number of ways of arranging these letters = 8! = 10080. (2!)(2!) Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.
Number of ways of arranging these letters = 4! = 12. 2! ∴ Required number of words = (10080 x 12) = 120960.
More questions
- 1. ?. x 2 ? 6x = 7
?. 2y 2 + 13y + 15 = 0
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
Correct Answer: 2
Explanation:
- 2. If U = {a, b, c, d, e, f}, A = {a, b, c}, find (U ? A)?.
Options- A. U
- B. A
- C. ?
- D. None of these Discuss
Correct Answer: ?
Explanation:
U ? A = {a, b, c, d, e, f} ? {a, b, c} = {a, b, c, d, e, f} = U
(U ? A)? = ?.- 3. Mukul's income is 10% more than Sunil's. How much less is Sunil's income than that of Mukul's?
Options- A. 8.09 %
- B. 9.09 %
- C. 7.09 %
- D. 7.90 % Discuss
Correct Answer: 9.09 %
Explanation:
Sunil's income is less than Mukul's = [(10 / (100 + 10)] × 100 %
= ( 1000 / 110 )%
= 9.09 %- 4. 3, 7, 15, 39, 63, 127, 255, 511
Options- A. 7
- B. 15
- C. 39
- D. 63
- E. 127 Discuss
Correct Answer: 39
Explanation:
Go on multiplying 2 and adding 1 to get the next number.So, 39 is wrong.
- 5. 19, 26, 33, 46, 59, 74, 91
Options- A. 26
- B. 33
- C. 46
- D. 59
- E. 74 Discuss
Correct Answer: 33
Explanation:
Go on adding 7, 9, 11, 13, 15, 17 respectively to obtain the next number.So, 33 is wrong. It must be 35
- 6. If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:
Options- A. 2
- B. 5
- C. 6
- D. 7
- E. None of these Discuss
Correct Answer: 7
Explanation:
Sum of digits = (4 + 8 + 1 + x + 6 + 7 + 3) = (29 + x), which must be divisible by 9.∴ x = 7.
- 7. 6, 13, 18, 25, 30, 37, 40
Options- A. 25
- B. 30
- C. 37
- D. 40 Discuss
Correct Answer: 40
Explanation:
The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5.So, 40 is wrong.
- 8. The true discount on a certain bill due for nine months at 4 % simple interest is ?150. Find the amount of the bill.
Options- A. ?5150
- B. ?5250
- C. ?4750
- D. ?5650 Discuss
Correct Answer: ?5150
Explanation:
- 9. The present worth of $ 220.50 due in 2 years reckoning compound interest at 5 % is :
Options- A. $ 200
- B. $ 197.5
- C. $ 202
- D. $ 192.25 Discuss
Correct Answer: $ 200
Explanation:
- 10. The value of 12x2y4z3 ÷ (2xy2 × 3yz2) will be :
Options- A. 2xyz
- B. xyz
- C. 1 xyz
- D. 2 xyz Discuss
Correct Answer: 2xyz
Explanation:
Comments
There are no comments.
More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.
- 1.