Rationale: Vowel: E O
Consonants: V R M N T
First letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)
Fifth letter can be filled in 5 Ways ( As the question states that the last letter has to be a consonant)
Second letter can be filled in 7 Ways
Third letter can be filled in 7 Ways
Fourth letter can be filled in 7 Ways
So, Total number of ways = 2 Ways x 7 Ways x 7 ways x 7 ways x 5 ways = 3430
The answer: (D)
Question: How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and repetition is allowed?
Options:
(A) 3441
(B) 3433
(C) 3333
(D) 3430
(E) 3773
Reasoning: Speed = 50 * 5/18 = 125/9 m/sec
Time taken = 250 *9/125 = 18 sec
Ans: (A)
Question: A train 250 m long, running with a speed of 50 km/hr will pass a tree in?
Options:
(A) 18sec
(B) 20sec
(C) 25sec
(D) 30sec
(E) 1min
Rationale: There are 2 odd days in the year 2004
So, the day on 21th January 2005 will be two days beyond the day on 21th January 2004
On 21th January 2004, it was Wednesday
The answer: (B)
Question: If Friday occurred on 21th January 2005. What was the day of the week on 21th January 2004?
Options:
(A) Sunday
(B) Wednesday
(C) Friday
(D) Monday
(E) Tuesday
Reasoning: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 4*2 = 8
Ans: (B)
Question: How many factors does 25^2 have?
Options:
(A) 2
(B) 8
(C) 24
(D) 25
(E) 26
Rationale: The correct answer should not take the form: 4x + 2. Hence, it is
The answer: (D)
Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a green shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?
Options:
(A) 18
(B) 22
(C) 42
(D) 41
(E) 74
Rationale: Saving = (42-32)% of 42400 = 4240.
The answer: (C)
Question: If the personal income tax rate is lowered from 42% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $42400?
Options:
(A) $3500
(B) $5000
(C) $4240
(D) $7000
(E) $10000