q: Three years ago, the average age of a family of 5 members was 17. A baby having been born, the average age of the family is the same today. What is the age of the child?
Options:
(A) 3
(B) 2
(C) 4
(D) 1
(E) 5
a: Present age of 5 members = 5 x 17 + 3 x 5 = 100 years
Also, present ages of 5 members + Age of the baby = 6 x 17 = 102 years
Age of the baby = 102 100 = 2 years. The answer is (B).
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q: Which value of x does statisfy the inequality 2x2 + x 3 < 0?
Options:
(A) -32 < x < 1
(B) -1 < x < 32
(C) x > 1
(D) x < -25
(E) None of these
a: 2x2 + x 3 < 0
(x 1)(2x + 3) < 0 or, -32 < x < 1 The answer is (A).
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q: John makes $40 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 76.69%
(D) 76.98%
(E) 75%
a: Increase = (30/40)*100 = (3/4)*100 = 75%. The answer is (E).
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q: A cricket bat is sold for $900, making a profit of $300. The profit percentage would be
Options:
(A) 24%
(B) 25%
(C) 30%
(D) 50%
(E) 40%
a:
300/(900 - 300) = 50%. The answer is (D).
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