(a) 0 (b) 2 (c) infinite (d) 1 (a) 0.9 (b) 0.75 (c) 0.6 (d) 0.45 (a) 2b2 = h2 (b) 2h2 = b2 (c) 3b2 = 2h2 (d) 3h2 = 2b2 A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top … Read more
(a) 5 (b) 4 (c) 3 (d) 6 (a) √14 (b) √12 (c) √13 (d) √15 (a) 20 (b) 30 (c) 40 (d) 25 (a) √13 + √12 (b) √37 + √13 (c) (√13 + √12)/2 (d) (√37 + √13)/2 (a) 25(√3 + √15)/2 (b) 25(√5 + √15) (c) 25(√3 + √15) (d) 25(√5 + … Read more
CAT 2020 Slot 3 Question 1- How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7? A.41 B.42 C.40 D.43 CAT 2019 Slot 2 Question 2- How many factors of 2^4 × 3^5 × 10^4 are perfect squares which are greater than 1? CAT 2018 Slot … Read more
CAT 2022 Slot 1 Question 1- Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3 : 5. If the total number of persons in the queue is less than 300, … Read more
CAT 2022 Slot 3 Question 1- Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take 1.5 hours if they travel towards each other, but 10.5 hours if they travel in the same direction. If the speed of the slower car is 60 km/hr, … Read more
CAT 2022 Slot 3 Question 1- Bob can finish a job in 40 days, if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job. Suppose Alex and Bob work together on the first day, Bob and Cole work together on the second day, Cole … Read more
CAT 2022 Slot 3 Question 1- A glass contains 500 cc of milk and a cup contains 500 cc of water. From the glass, 150 cc of milk is transferred to the cup and mixed thoroughly. Next, 150 cc of this mixture is transferred from the cup to the glass. Now, the amount of water … Read more
CAT 2022 Slot 3 Question 1- In an examination, the average marks of students in sections A and B are 32 and 60, respectively. The number of students in section A is 10 less than that in section B. If the average marks of all the students across both the sections combined is an integer, … Read more
CAT 2020 Slot 3 Question 1- A person invested a certain amount of money at 10% annual interest, compounded half-yearly. After one and a half years, the interest and principal together became Rs 18522. The amount, in rupees, that the person had invested is CAT 2020 Slot 2 Question 2- For the same principal amount, … Read more
CAT 2022 Slot 1 – Question 1- Amal buys 110 kg of syrup and 120 kg of juice, syrup being 20% less costly than juice, per kg. He sells 10 kg of syrup at 10% profit and 20 kg of juice at 20% profit. Mixing the remaining juice and syrup, Amal sells the mixture at … Read more
13. CAT 2017 QA Slot 1 | Geometry – Triangles CAT Question From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is: (a) … Read more
In triangle ABC, altitudes AD and BE are drawn to the corresponding bases. If ∠BAC = 45° and ∠ABC = θ, then AD/BE equals 2. CAT 2022 QA Slot 2| Geometry – Triangles CAT Question The length of each side of an equilateral triangle ABC is 3 cm. Let D be a point on BC … Read more
In a right angled triangle, one of the acute angles is four times the other. What is the measure of the smallest angle of the triangle?(a)15°(b)18°(c)20°(d)22° What is the length of the altitude of an equilateral triangle of side 4 cm?(a)4 cm(b)6 cm(c)2√3 cm(d)2 cm 2.If a triangle has two sides having lengths 8 units … Read more
7Measure of the supplementary angle of ∠A is 100° more than that of the complementary angle. What is the type of ∠A? (a) Acute angle (b) Reflex angle (c) Obtuse angle (d) Not possible 8Which of the following is definitely true for two lines in a plane? (a) If two lines are not parallel, they … Read more
(a) 55° (b) 33° (c) 45° (d) 37° (a) 43° (b) 133° (c) 12° (d) 123° (a) Perpendicular (b) Line bisector (c) Transversal (d) Perpendicular bisector (a) 30° (b) 120° (c) 180° (d) 230° 5.Two lines intersect each other and make four angles. Of these, any two adjacent angles are(a) Equal (b) Complementary (c) Supplementary … Read more
In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science and Social Science. Due to a certain emergency situation, a few of the examinations could not be conducted for some students. Hence, some students missed one examination and some others missed two examinations. Nobody missed more than … Read more
A chain of departmental stores has outlets in Delhi, Mumbai, Bengaluru and Kolkata. The sales are categorized by its three departments – ‘Apparel’, ‘Electronics’, and ‘Home Decor’. An Accountant has been asked to prepare a summary of the 2018 and 2019 sales amounts for an internal report. He has collated partial information and prepared the … Read more
Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and has decided to pool blood samples of patients into eight vials for the tests. The patients are numbered 1 through 16, and the … Read more
The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 … Read more
A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below: The plots in rows X, Y, Z contained mango, teak and … Read more