Question
In the questions given below, a part of the sentence is
given in bold . Below each sentence, some phrases are given which can substitute the underlined part. Identify the phrase that can correctly replace the bold part. If the sentence is correct as it is, choose “No improvement is required.” The teacher advised him to not waste time on unnecessary details.Solution
The correct infinitive structure is: “advised him not to waste”.The phrase “to not waste” is common in informal speech, but “not to waste” is grammatically preferable and more formal.
When a number is divided by 21, the quotient is 160, and the difference between the quotient and the remainder is 144. Find the number.
Find the smallest number divisible by 12, 18, and 24 that is greater than 1000.
21 is divided into three parts which are in arithmetic progression (A.P.) in such a way that the sum of their square is 155. Find the smallest part.
If '5731x7' is a six-digit number which is divisible by 33, then calculate the value of 'x'.
What is the remainder of function 5a³–15a² +14a–3 when divided by (2a-2)?
A number n when divided by 6, leaves a remainder of 3. What will be the remainder when (n² +5n+8) is divided by 6?
How many factors of 23 Ă— 33 Ă— 54 Ă—91Ă— is divisible by 50 but not by 100?
Find the least 4-digit number which is when divided by 16, 20, and 24 leaves a remainder of 9 in each case.

An eight-digit number, 6x2y824 is divisible by 72. Find the maximum possible value of x + y.