MAT 2005 Question Paper

In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?

Five children were administered psychological tests to know their intellectual levels. In the report, psychologists pointed out that the child A is less intelligent than the child B, the child C is less intelligent than the child D, the child is less intelligent than the child C and child A is more intelligent than the child E. Which child is the most intelligent?

In certain code '247' means ‘spread red carpet’, '256' means ‘dust one carpet’ and '264' means ‘one red carpet’. Which digit in that code means ‘dust’?

In a certain code language, ‘nee muk pic’ means ‘grave and concern’; ‘ill dic so’ means‘every body else’, and 'tur muk so’ means body and soul.’ Which of the following would mean ‘every concern’?

In a certain code language, ‘col tip mot’ means ‘singing is appreciable’; ‘mot baj min’ means ‘dancing is good’ and ‘tip nop baj’ means ‘singing and dancing’. Which of the following means ‘good' in that code language?

In a shop, the items were arranged in a shelf consisting of six rows. Biscuists are arranged above  the tins of chocolates but below the rows of packets of chips, cakes are at the bottom an the bottles of peppermints are below the chocolates. The top most row had the display of jam bottles. Where exactly are the bottles of peppermints? Mention the place from the top.

Ashish leaves his house at 20 minutes to seven in the morning, reaches Kunal's house in 25 minutes, they finish their breakfast in another 15 minutes and leave for their office which takes another 35 minutes. At what time do they leave Kunal's house to reach their office?

In a row of girls, Rita and Monika occupy the ninth place from the right end and tenth place from the left end, respectively. If they interchange their places, Rita and Monika occupy seventeenth place from the right and eighteenth place from the left, respectively. How many girls are there in the row?

One morning after sunrise, Reeta and Kavita were talking to each other face to face at Tilak Square. If Kavita's shadow was exactly to the right of Reeta, which direction was kavita facing

At a farm, there are hens, cows and bullocks, and keepers to look after them. There are 69 heads less than legs; the number of cows is double of that of bullocks; the number of cows and hens is the same and there is one keeper per ten birds and cattle. The total number of hens plus cows and bullocks and their keepers does not exceed 50. How many cows are there?