Question
Using all the letters of the word POETRY, how many words
start with a vowel but end with a consonant?Solution
The word POETRY has two vowels – O and E.
If a word starts and ends with a vowel, the two letters to occupy the first and the last positions can be selected and arranged in 2P2 = 2 × 1 = 2 ways.
The remaining 4 letters can be arranged in 4! = 24 ways.
Number of words that start and end with a vowel = 2 × 24 = 48
If a word starts with a vowel but ends with a consonant, its first letter can be selected from O and E = 2 ways.
Last letter can be selected from P, T, R, Y = 4 ways.
Remaining 4 letters arranged in 4! = 24 ways.
So total = 2 × 4 × 24 = 192
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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance...
Statement: M > N ≥ P > Q ≥ R > S ≥ T ≥ U > W
Conclusion:
1. U ≤ S
2. S < Q
Statements: M ≥ X ≥ B > V ≤ G = Y > K > U < N
Conclusion
I: G > U
II: V ≤ M
Statements: Z ≥ S > H, C > H, T = O ≥ H
Conclusions:
I. T > C
II. Z > H
Read the given statements and conclusions carefully and decide which of the conclusions logically follow(s) from the statements.
Statements:
Given below are two statements, followed by two conclusions. Assume the given statements to be true even if they vary with commonly known facts. Based o...
Read the given statements and the following conclusions carefully and select which of the conclusions logically follow(s) from the statements.
S...
Statements:
No truck is a bus.
All bus are train. Â
Only a few train are car.
Conclusions:
I. All bus may be car.
Statements: X ≥ P ≥ O = S; S ≤ H < N; N > I
Conclusions:
I. O ≥ N
II. I > O
III. S < X