Rationale: Here, l = 8 and m = 16
Therefore, first number = l/m x 100% of second number = 8/16 x 100% of second number = 50% of second number
The answer: (D)
Question: If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 50%
(E) none of these
Reasoning: 1/8 + 1/24 = 1/6
6 * 2 = 12
Ans: (C)
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Options:
(A) 10
(B) 26
(C) 12
(D) 24
(E) 48
Rationale: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 5*4 = 20
The answer: (C)
Question: How many factors does 34^2 have?
Options:
(A) 2
(B) 8
(C) 20
(D) 25
(E) 26
Reasoning: Final number = Initial number + 50%(original number) = 100 + 50%(100) = 100 + 50 = 150.
Ans: (C)
Question: 100 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 150
(D) 155
(E) 160
Rationale: First $20 million: royalties/sales ratio = 3/20 = 36/240
Next $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240
The answer: (C)
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Options:
(A) 8%
(B) 15%
(C) 45%
(D) 52%
(E) 56%
Rationale: Total boxes = 23
Filled with toys = 18
Filled with appliance = 5
Total boxes for sale = 8
Toy boxes for sale = 5
Appliance boxes for sale = 3
Appliance boxes not for sale = 5 - 3 = 2
The answer: (B)

Question: In Sam's hanger there are 23 boxes, 18 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Options:
(A) 1.
(B) 2.
(C) 3.
(D) 4.
(E) 5.
Rationale: Here, l = 8 and m = 16
Therefore, first number = l/m x 100% of second number = 8/16 x 100% of second number = 50% of second number
The answer: (D)
Question: If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 50%
(E) none of these
Reasoning: 1/8 + 1/24 = 1/6
6 * 2 = 12
Ans: (C)
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Options:
(A) 10
(B) 26
(C) 12
(D) 24
(E) 48
Rationale: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 5*4 = 20
The answer: (C)
Question: How many factors does 34^2 have?
Options:
(A) 2
(B) 8
(C) 20
(D) 25
(E) 26
Reasoning: Final number = Initial number + 50%(original number) = 100 + 50%(100) = 100 + 50 = 150.
Ans: (C)
Question: 100 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 150
(D) 155
(E) 160
Rationale: First $20 million: royalties/sales ratio = 3/20 = 36/240
Next $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240
The answer: (C)
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Options:
(A) 8%
(B) 15%
(C) 45%
(D) 52%
(E) 56%
Rationale: Total boxes = 23
Filled with toys = 18
Filled with appliance = 5
Total boxes for sale = 8
Toy boxes for sale = 5
Appliance boxes for sale = 3
Appliance boxes not for sale = 5 - 3 = 2
The answer: (B)

user
Question: In Sam's hanger there are 23 boxes, 18 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Options:
(A) 1.
(B) 2.
(C) 3.
(D) 4.
(E) 5.
assistant
Rationale: Here, l = 8 and m = 16
Therefore, first number = l/m x 100% of second number = 8/16 x 100% of second number = 50% of second number
The answer: (D)
Question: If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 50%
(E) none of these
Reasoning: 1/8 + 1/24 = 1/6
6 * 2 = 12
Ans: (C)
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Options:
(A) 10
(B) 26
(C) 12
(D) 24
(E) 48
Rationale: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 5*4 = 20
The answer: (C)
Question: How many factors does 34^2 have?
Options:
(A) 2
(B) 8
(C) 20
(D) 25
(E) 26
Reasoning: Final number = Initial number + 50%(original number) = 100 + 50%(100) = 100 + 50 = 150.
Ans: (C)
Question: 100 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 150
(D) 155
(E) 160
Rationale: First $20 million: royalties/sales ratio = 3/20 = 36/240
Next $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240
The answer: (C)
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Options:
(A) 8%
(B) 15%
(C) 45%
(D) 52%
(E) 56%
Rationale: Total boxes = 23
Filled with toys = 18
Filled with appliance = 5
Total boxes for sale = 8
Toy boxes for sale = 5
Appliance boxes for sale = 3
Appliance boxes not for sale = 5 - 3 = 2
The answer: (B)

Question: In Sam's hanger there are 23 boxes, 18 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Options:
(A) 1.
(B) 2.
(C) 3.
(D) 4.
(E) 5.