An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠CBD=40⁰. Find the measure of ∠BCD.

LCM of two numbers is 56 times their HCF, with the sum of their HCF and LCM being 1710. If one of the two numbers is 240, then what is the other number?

Find the greatest number 23a68b, which is divisible by 3 but NOT divisible by 9.

A motorboat whose speed is 20 km/h in still water takes 30 minutes more to go 24 km upstream than to cover the same distance downstream. If the speed of the boat in still water is increased by 2 km/h, then bow much time will it take to go 39 km downstream and 30 km upstream?

‘A @ B’ means ‘A is the husband of B’.
 ‘A & B’ means ‘A is the mother of B’.
 ‘A # B’ means ‘B is the daughter of A’.
 If G # H & I @ J & K, then how is H related to J?

Study the given pattern carefully and select the number that can replace the question mark (?) in it.
 First row: 3, 2, 30
 Second row: 7, 5, 175
 Third row: 4, 6, ?
 (NOTE: Operations should be performed on the whole numbers, without breaking down the number into its constituent digits. For example, 13 – Operations on 13 such as adding / deleting / multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. The Romans had developed a (1)____ for chariot racing. The (2)_____ of the game are so excited that sometimes it may (3)____ into chaos, confusion and riots. The (4)_____ in which racing took place was called a circus. The (5)____ one was the Circus Maximus in Rome, that could hold up to 3,85,000 spectators, which shows the popularity of the sport

Select the most appropriate option to fill in blank no. 5.

Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. The Romans had developed a (1)____ for chariot racing. The (2)_____ of the game are so excited that sometimes it may (3)____ into chaos, confusion and riots. The (4)_____ in which racing took place was called a circus. The (5)____ one was the Circus Maximus in Rome, that could hold up to 3,85,000 spectators, which shows the popularity of the sport

Select the most appropriate option to fill in blank no. 4.