Rationale: Here both numbers are less than 100. So they are deficient of - 6 and - 3 compared with 100. So
The answer: (C)
Question: Find 94 97
Options:
(A) 93/198
(B) 93/12
(C) 93/18
(D) 93/10
(E) 93/11
Reasoning: Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(33X1) = 49 Years
Ans: (E)
Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 28 Years
(B) 30 Years
(C) 32 Years
(D) 37 Years
(E) 49 Years
Rationale: 1/30 + 1/40 = 7/120
120/7 = 17 1/7 days
The answer: (A)
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Options:
(A) 17 1/7
(B) 17 1/5
(C) 17 1/8
(D) 17 1/1
(E) 17 1/2
Reasoning: Mother has a fixed place and father, so there are 4! ways to arrange the children, hence
Ans: (D)
Question: A family with 1 mother, 1 father, and 4 children sit in a car with 2 front seats and 4 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other three children on either side of him, how many seating arrangements are possible?
Options:
(A) 3
(B) 4
(C) 6
(D) 24
(E) 10
Rationale: Sum of all the 13 numbers = 13 * 59 = 767
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 767 = 59.
The answer: (A)
Question: The average of 13 numbers is 59. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 59
(B) 83
(C) 45
(D) 53
(E) 64
Rationale: 40x100 + y = 125x100 xy = 2017
The answer: (E)
Question: If 40 per cent of a number is added to an other number then it becomes 125 per cent of itself. What will be the ratio of first and second numbers?
Options:
(A) 8 : 5
(B) 5 : 7
(C) 5 : 8
(D) Data inadequate
(E) None of these