CAT Result<\/a><\/strong><\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\nQuestion 34:<\/h3>\n\n\n\n A pipe can empty a tank in 48 minutes. A second and a third pipe with diameters twice and four times as much as that of the first respectively, are also attached to the tank to empty it. The three pipes together can empty the tank in ______ (minutes).<\/strong><\/p>\n\n\n\nQuestion 35:<\/h3>\n\n\n\n John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?<\/strong><\/p>\n\n\n\nQuestion 36:<\/h3>\n\n\n\n A man drives a car at 40 km\/h for 3 hours and at a speed of 60 km\/h for next 4.5 hours. After that he finds that he has covered only 3\/5th<\/sup> of the total distance. At what speed he must travel the remaining distance to complete his entire journey in 10 hours.<\/strong><\/p>\n\n\n\n(A) 104 km\/h
Question 37:<\/h3>\n\n\n\n A person covers a distance in following manner. He covers first half of the distance at 50 kmph, 40% of the remaining at 40 kmph and the remaining distance at 60 kmph. Find the average speed over the entire journey.<\/strong><\/p>\n\n\n\nQuestion 38:<\/h3>\n\n\n\n In covering a certain distance, the speed of A and B are in the ratio of 3: 4. A takes 30 minutes more than B to reach the destination. The time taken by B to reach the destination is:<\/strong><\/p>\n\n\n\n(A) 1 hour
Question 39:<\/h3>\n\n\n\n Two persons A and B started from the same place and in the same direction. After 2 hours distance between them is observed to be 3.6 km. If the speed of the faster person rson is 2 m\/s, find the speed of the slower person.<\/strong><\/p>\n\n\n\nQuestion 40:<\/h3>\n\n\n\n Raju and Baburao started simultaneously from towns P and Q respectively towards the starting point of the other. After crossing each other, Raju and Baburao took 36 minutes and 81 minutes respectively to reach their destinations. Find the time taken by them to cross each other.<\/strong><\/p>\n\n\n\nQuestion 41:<\/h3>\n\n\n\n A boat travels 63 km upstream in river and returns to its starting point. The time taken by the boat to travel upstream is two hours more than the time taken to travel downstream. The speed of the boat in still water is 8 times the speed of the stream. Find the speed of the stream.<\/strong><\/p>\n\n\n\nQuestion 42:<\/h3>\n\n\n\n Ant-Man started from a point on a lake in his sailboat and rowed in the same direction as the wind. He travelled 60 km in 6 hours and returned to his starting point after 10 more hours of rowing against the wind. If there were no wind, how long would he have taken for the entire trip?<\/strong><\/p>\n\n\n\nQuestion 43:<\/h3>\n\n\n\n In a race of 500 m, L beats M by 40 seconds and beats N by 125 m. If M and N run a 500 m race, M beats N by 40 seconds. Find the time taken (in seconds) by M to run the race.<\/strong><\/p>\n\n\n\n(A) 160
Question 44:<\/h3>\n\n\n\n Shizuka, Nobita and Doraemon start running simultaneously in the same direction from a point on a circular track of length 900 m. If their respective speeds are 3 m\/s, 6 m\/s and 9 m\/s, after how much time will all three of them meet for the first time at the starting point?<\/strong><\/p>\n\n\n\nQuestion 45:<\/h3>\n\n\n\n The average age of 12 players of a team is 25 years. If the captain’s age is included, the average are increases by 1 year. The age of the captain is : <\/strong><\/p>\n\n\n\n(A) 25 yrs
Question 46:<\/h3>\n\n\n\n The average weight of 3 men A, B and C is 84 kg. Another man D joins the group, and the average now becomes 80 kg. If another man E, whose weight is 3 kg more than that of D, replaces A, then average weight of B, C, D and E becomes 79 kg. The weight of A is:<\/strong> <\/p>\n\n\n\n(A) 70 kg
Question 47:<\/h3>\n\n\n\n The average marks of classes A and B is 48, that of classes B and C is 72 and that of A and C is 60. Which of the following values are not possible for the average of all three classes together?<\/strong><\/p>\n\n\n\nI. 48
(A) Only I and II <\/span>CAT Quant Questions: Geometry & Mensuration<\/span><\/h2>\n\n\n\nLet\u2019s go through the top quantitative questions for CAT related to geometry and mesuration, covering triangles, trapezium, rhombus, circles, fields, and quadratics.<\/p>\n\n\n\n
Question 48:<\/h3>\n\n\n\n Six litres of a solution containing 20% alcohol are mixed with 4 litres of a solution containing 60% alcohol. Find the percentage of alcohol in the mixture.<\/strong><\/p>\n\n\n\n(A) 80%
Question 49:<\/h3>\n\n\n\n A man purchased a TV set and a washing machine for a total of \u20b975,000, and made an overall gain of 30% on selling both. If the profits on selling the TV set and the washing machine are 20% and 45% respectively, find the cost price of the washing machine.<\/strong><\/p>\n\n\n\nQuestion 50:<\/h3>\n\n\n\n In the figure, AB \u2502\u2502 CD \u2502\u2502 EF. PQ and RS are the transversals cutting these parallel lines as shown.<\/strong> If TU = 1.65, TV = 6.6 cm and WY = 6.4, then find XY = ? <\/strong><\/p>\n\n\n\nQuestion 51:<\/h3>\n\n\n\n In a triangle PQR, \u2220Q = 120\u00ba then which of the following is true- ?<\/strong><\/p>\n\n\n\n(A) p\u00b2 + r\u00b2 = q\u00b2 \u2212 2pr
Question 52:<\/h3>\n\n\n\n In the given figure, \u2206PQR ~ \u2206 LMN. PX QR and LY MN. If PQ = 3 cm and LM = 2 cm Then PXLY is<\/strong> <\/p>\n\n\n\n(A). \u00be
Question 53:<\/h3>\n\n\n\n The area of a trapezium is 768 cm, If parallel sides are in the ratio, 3:5 and perpendicular distance between them is 12 cm, then the sum of the parallel sides is?<\/strong><\/p>\n\n\n\n(A). 144 cm.
Question 54:<\/h3>\n\n\n\n Each side of a rhombus is equal to side of a square whose diagonal is 402 cm. if the ratio of diagonals of rhombus are in the ratio 3:4, find it\u2019s area?<\/strong><\/p>\n\n\n\nQuestion 55:<\/h3>\n\n\n\n In the figure given below, PQ is diameter of the semicircle PQRS, center O , \u2220SOR = 48\u00b0 , If PR cuts SQ at X, calculate \u2220PXS<\/strong><\/p>\n\n\n\n(a). 50\u00b0
Question 56:<\/h3>\n\n\n\n The base of triangular field is three times its altitude. If the cost of cultivating the field at 50 per hectare be 675, then its base and height are?<\/strong><\/p>\n\n\n\n(A). 900m and 300m
Question 57:<\/h3>\n\n\n\n The length of a rectangle is twice its breadth. If its length is decreased by 5cm and breadth is increase by 5cm, the area of the rectangle is increased by 75 cm2<\/sup> , then length of the rectangle is:<\/strong><\/p>\n\n\n\n(A) 20 cm
![\"free](\"https:\/\/lptedtech.com\/blog\/wp-content\/uploads\/2026\/04\/free-online-ipmat-coaching-1024x299.webp\")
<\/a><\/figure>\n\n\n\n