Arithmetic - Ratio, Proportion & Variation - Previous Year CAT/MBA Questions
You can practice all previous year CAT questions from the topic Arithmetic - Ratio, Proportion & Variation. This will help you understand the type of questions asked in CAT. It would be best if you clear your concepts before you practice previous year CAT questions.
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.
Rs. 1.4 lakh
Rs. 2 lakh
Rs. 1 lakh
Rs. 2.1 lakh
Answer: Option C
Let the original weight of the diamond be 10x. Hence, its original price will be k(100x2) . . . where k is a constant.
The weights of the pieces after breaking are x, 2x, 3x and 4x. Therefore, their prices will be kx2, 4kx2, 9kx2 and 16kx2. So the total price of the pieces = (1 + 4 + 9 + 16)kx2 = 30kx2. Hence, the difference in the price of the original diamond and its pieces = 100kx2 – 30kx2 = 70kx2 = 70000.
Hence, kx2 = 1000 and the original price = 100kx2 = 100 × 1000 = 100000 = Rs. 1 lakh.
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?
Answer: Option A
The team has played a total of (17 + 3) = 20 matches. This constitutes of the matches. Hence, total number of matches played = 30. To win of them, a team has to win 22.5, i.e. at least win 23 of them. In other words, the team has to win a minimum of 6 matches (since it has already won 17) out of remaining 10. So it can lose a maximum of 4 of them.
From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the ratio of the two numbers?
2 : 1
3 : 1
3 : 2
Answer: Option A
Let the two given numbers be x and y such that x > y.
According to the question,
Help us build a Free and Comprehensive CAT/MBA Preparation portal by providing us your valuable feedback about Apti4All and how it can be improved.