Rationale: 10^2 - 20 = 80
20^2 - 30 = 370
30^2 - 40 = 860
40^2 - 50 = 1550
50^2 - 60 = 2440
60^2 - 70 = 3530.
The answer: (B)
Question: 80 370 860 1550 ? 3530
Options:
(A) 900
(B) 2440
(C) 750
(D) 244
(E) 960
Reasoning: Compound Interest: Total Balance = P(1 + R)T P = principle = starting balance = $124 R = interest rate = 4% T = time = 4 years Total balance = principle (1 + interest rate)time = 124 (1 + (4 / 100))4 = 145 Interest accrued = total balance - starting balance = 145 - 124 = 21
Ans: (A)
Question: Interest Rate: 4% monthly Starting Balance: 124 Time Passed: 4 months How much interest has accrued if calculated as compound interest? What is the new total balance?
Options:
(A) 21 & 145
(B) 22 & 146
(C) 23 & 145
(D) 20 & 140
(E) None
Rationale: |35 - 6n| represents the distance between 35 and 6n on the number line. Now, the distance will be minimized when 6n, which is multiple of 6, is closest to 35. Multiple of 6 which is closest to 35 is 36 (for n = 6), so the least distance is 1: |35 - 36| = 1.
The answer: (E)
Question: If n is an integer, then the least possible value of |35 - 6n| is?
Options:
(A) 2
(B) 3
(C) 5
(D) 0
(E) 1
Reasoning: L and M should serve on A
Ans: (D)
Question: In case K is the only individual sewing on committee B, which among the following shouldserve on committee A?
Options:
(A) V and U
(B) V and T
(C) U and S
(D) L and M
(E) T and U
Rationale: Rule of Subtraction: P(A) = 1 - P(A')
Rule of Multiplication: P(A B) = P(A) P(B)
The probability that the pitcher throws a strike at least once in 2 guesses is 1- (3/5)^2 = 1 - 9/25 = 16/25 > 50%.
The answer: (B)
Question: During a particular baseball game, the probability of a team's pitcher throwing a strike on each throw is 2/5. What is the least number of times that the pitcher should pitch the ball that will increase the probability of getting a strike at least once to more than 50%.
Options:
(A) 3
(B) 2
(C) 1
(D) 4
(E) 5
Rationale: Work done by X in 1 day = 1/24
Work done by Y in 1 day = 1/16
Work done by Y in 10 days = 10/16 = 5/8
Remaining work = 1 5/8 = 3/8
Number of days in which X can finish the remaining work = (3/8) / (1/24) = 9
The answer: (E)
Question: X can finish a work in 24 days. Y can finish the same work in 16 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 3
(B) 5
(C) 6
(D) 8
(E) 9