Aptitude Questions 2011

(1)
A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ‘At least n of the statements on this sheet are false.’ Which statements are true and which are false?
(a) The even numbered statements are true and the odd numbered are false.
(b) The odd numbered statements are true and the even numbered are false.
(c) The first 35 statements are true and the last 35 are false.
(d) The first 35 statements are false and the last 35 are false.

(2)
Unnecessary data. A lady has fine gloves and hats in her closet- 18 blue- 32 red , 10 white , 25 yellow, 55 purple, 30 orange. The lights are out and it is totally dark in spite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color of blue, red, yellow?
(a) 59
(b) 8
(c) 50
(d) 42

(3)
Which of the following is not permitted under the
rules as stated.
(A) A brown male marrying his father’s sister
(B) A red female marrying her mother’s brother
(C) A widower marrying his wife’s sister
(D) A widow marrying her divorced daughter’s
ex-husband

(4)
How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4? Can you help Alok find the answer?
(a) 100
(b) 125
(c) 75
(d) 85

(5)
If “PROMPT” is coded as QSPLOS ,then “PLAYER” should be
(a) QMBZFS
(b) QWMFDW
(c) QUREXM
(d) URESTI

(1)
Ans: c
Sol:
70/2=35.hence first half 35 are true and second half 35 are false
Note
For this type of Questions, follow this tricks:
(i)At least first half are true, Last half are false
(ii)Exactly- Last second one is true or (N-1)th Statement is true
(iii)Almost- All are true.

(2)
Ans: a
Sol:
(32+25+2)
Note:
For this type of questions , use this formula:
(i)Bigger+Middle+1 (Suppose 18, 32, 25 =32+25+1)
(ii) If you do not find answer in options, choose the one closer those the answer you got.

(3)
Ans:b

(4)
Ans: b
Sol:
5^n-1= 5^4-1=125, n= no of digits

(5)
Sol:
PROMPT=QSPLOS
(P=Q)&(R=S).Hence starting and ending should beQ and S respectively
Therefore,PLAYER=QMBZFS