q: The entire range of values of x is marked by the dark region on the number line, as shown above. Which of the following expressions describes the range of values of x?
Options:
(A) (3+x) (2x) 0
(B) (3x) (2+x) 0
(C) (x3) (x+2) 0
(D) (x+3) (2x) 0
(E) (3x) (2x) 0
a: Stream of consciousness: Given: x3x3 and x2 x2
(x+3)0(x+3)0 and (x2)0(x2)0
(x+3)0(x+3)0 and (2x)0(2x)0 The answer is (D).
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q: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 30 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 3/200
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53
a: Stream of consciousness: The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 30/100 = 3/10
Three are independent;probability of rich and fair complexioned girl is:
(1/4) (1/5) (3/10) = 3/200 The answer is (A).
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q: How long does a train 110 m long traveling at 72 kmph takes to cross a bridge of 170 m in length?
Options:
(A) 16.5
(B) 16.0
(C) 16.4
(D) 14
(E) 16.1
a:
Stream of consciousness: D = 110 + 170 = 280 m
S = 72 * 5/18 = 20
T = 280 * 1/20 = 14 sec The answer is (D).
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