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Ratios & Averages

Q.No: 1
Test Name : CAT Paper 2007

The question is followed by two statements A and B. Indicate your response based on the following directives.
Mark (1) if the questions can be answered using A alone but not using B alone.
Mark (2) if the question can be answered using B alone but not using A alone.
Mark (3) if the question can be answered using A and B together, but not using either A or B alone.
Mark (4) if the question cannot be answered even using A and B together.


The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and II, each with 50 students. The average weight, WI , of Section I is smaller than the average weight WII, of the Section II. If the heaviest student say Deepak, of section II is moved to Section I, and the lightest student, say Poonam, of Section I is moved to Section II, then the average weights of the two sections are switched, i.e., the average weight of Section I becomes WIIand that of Section II becomes WI. What is the weight of Poonam?
A: WII-WI=1.0.
B: Moving Deepak from Section II to I (without any move I to II) makes the average weights of the two sections equal.

A
(1)
B
(2)
C
(3)
D
(4)
Answer key/Solution
Solution:
Q.No: 2
Test Name : CAT Paper 1996

The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1 : 2 : 3 : 4. When the pieces were sold, the merchant got Rs. 70,000 less. Find the original price of the diamond.

A
Rs. 1.4 lakh
B
Rs. 2 lakh
C
Rs. 1 lakh
D
Rs. 2.1 lakh
Answer key/Solution
Solution:
Q.No: 3
Test Name : CAT Paper 1996

Out of two-thirds of the total number of basketball matches, a team has won 17 matches and lost 3 of them. What is the maximum number of matches that the team can lose and still win more than threefourths of the total number of matches, if it is true that no match can end in a tie?

A
4
B
6
C
5
D
3
Answer key/Solution
Solution:
Q.No: 4
Test Name : CAT Paper 2001
Directions for questions 1 to 37: Answer the questions independently.

A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is

A
2
B
3
C
4
D
5
Answer key/Solution
Solution:
Q.No: 5
Test Name : CAT Paper 2001
Directions for questions 1 to 37: Answer the questions independently.

Three classes X, Y and Z take an algebra test.
The average score in class X is 83.
The average score in class Y is 76.
The average score in class Z is 85.
The average score of all students in classes X and Y together is 79.
The average score of all students in classes Y and Z together is 81.

What is the average for all the three classes?

A
81
B
81.5
C
82
D
84.5
Answer key/Solution
Solution:
Q.No: 6
Test Name : CAT Paper 2001
Directions for questions 1 to 37: Answer the questions independently.

A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers isWhat was the number erased?

A
7
B
8
C
9
D
None of these
Answer key/Solution
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