CAT 2023 Daily Practice Questions for 9 September

Question 1. Suppose the length of each side of a regular hexagon ABCDEF is 2 cm. If T is the midpoint of CD, then the length of AT, in cm is-

1. √12

2. √15

3. √14

4. √13

Question 2. If r is a constant such that Ix2-4x-13I= r has exactly three distinct real roots, then the value of r is-

1. 17

2. 15

3. 21

4. 18

Question 3. A basket of 2 apples, 4 oranges, and 6 mangoes costs the same as a basket of 1 apple, 4 oranges, and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the mangoes in a basket of mangoes that have the same cost as the other baskets are:

1. 13

2. 10

3. 11

4. 12

Question 4. How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order? 

Question 5. Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6km/ hr less than the faster one, its length, in m, is-

1. 190

2. 184

3. 180

4. 192