Rationale: Since 32P6 = k32C6
32/ ( 32-6 ) = k(32/ ( 32-6 )
k = 6! = 720
The answer: (D)
Question: If P(32, 6) = kC (32, 6), then what is the value of k?
Options:
(A) 6
(B) 32
(C) 120
(D) 720
(E) None
Reasoning: I = (350*10*5)/100 = 175
Ans: (B)
Question: Find the simple interest on Rs.350 for 10 months at 5 paisa per month?
Options:
(A) 277
(B) 175
(C) 288
(D) 266
(E) 121
Rationale: 3/8 * 32000 = 12000
5/8 * 32000 = 20000
The answer: (A)
Question: Divide Rs.32000 in the ratio 3:5?
Options:
(A) 12000, 20000
(B) 12000, 200098
(C) 12000, 20007
(D) 12000, 20006
(E) 12000, 20001
Reasoning: T = 200/50 = 4 h
T = 4 - 3 = 1
Time Ratio = 4:1
Speed Ratio = 1:4
Ans: (D)
Question: A motorcyclist goes from Bombay to Delhi, a distance of 200 kms at an average of 50 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Delhi hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:7
(C) 1:9
(D) 1:4
(E) 1:1
Rationale: The prompt is essentially asking for the maximum number of 10 x 10 squares that can be cut from a larger 20 by 20square. Since each 'row' and each 'column' of the larger square can be sub-divided into 2 'pieces' each, we have (2)(2) = 4 total smaller squares (at maximum).
The answer: (A)
Question: What is the maximum number of pieces of birthday cake of size 10" by 10" that can be cut from a cake 20" by 20"?
Options:
(A) 4
(B) 10
(C) 16
(D) 20
(E) 25
Rationale: Any number multiplied by 2 has to be an even number henc
The answer: (E)
Question: If x and y are unique prime integers, which of the following must be odd?
Options:
(A) xy^2
(B) 2x+2y
(C) 2x2y
(D) 2x/2y
(E) xy