Reasoning: Answer will be A
The time they take will be what the 1st friend takes to complete one circumference as he is the slowest and that is the point all 3 of them will be together at the end of 4 mins.
Ans: (A)
Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 240 feet in circumference.After how many minutes are the three of them together again?
Options:
(A) 4 mins
(B) 10 mins
(C) 15 mins
(D) 3 mins
(E) 7 mins
Rationale: Since average price of a pencil = 2
Price of 75 pencils = 150
Price of 30 pens = (630 150) = 480
Average price of a pen = 48060 = 16
The answer: (E)
Question: 30 pens and 75 pencils were purchased for 630. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 16
Reasoning: (1056 / 28) gives remainder 20
20 + 8 = 28, So we need to add 8
Ans: (E)
Question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 28?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 8
Rationale: {Total} = {M} + {N} - {Both}
{Total} = 23 + 28 - 12 = 39.
The answer: (A)
Question: There are 23 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63
Reasoning: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 6*6 = 36
Ans: (E)
Question: How many factors does 49^2 have?
Options:
(A) 2
(B) 8
(C) 24
(D) 25
(E) 36
Reasoning: Original price = 1120 10070 10080 = 2000
Ans: (D)
Question: A shopkeeper gave an additional 20 per cent concession on the reduced price after giving 30 per cent standard concession on an article. If Arun bought that article for 1,120, what was the original price?
Options:
(A) 3,000
(B) 4,000
(C) 2,400
(D) 2,000
(E) None of these