Real Numbers Te...

Which of the following fractions will have a non-terminating decimal expansion?

A number when divided by 296 leaves the remainder 75. If the same number is divided by 37, then what will be the remainder?

On rationalising the denominator of the expression , we get . What are the respective values of a and b?

Which of the following is the correct fractional representation of ?

The increasing order of the numbers is

If x = (2 +), what is the value of x² + ?

What is the cube root of ?

Which of the following statements is FALSE?

Find a and b, if ^.

Traffic lights at three consecutive road crossings change after every 48 seconds, 72 seconds and 108 seconds. If the lights change simultaneously at 7:00:00 a.m, at what time will they again change simultaneously?

Which of the following is a rational number?

Which of the following fractions will have a terminating decimal expansion?

Euclid's division algorithm is a technique to compute the highest common factor of two given positive integers c and d , c > d following steps are to be followed : Apply Euclid's division lemma to c and d to get whole numbers q and r such that c = dq + r where

Which of the following are non-terminating decimal expansions?

(i)
(ii)
(iii)
(iv)

What is the greatest number that divides the numbers 38, 45 and 52 and leaves remainders 2, 3 and 4, respectively?

Bhumi is a teacher. She had to distribute books to her students. At first, she tried to distribute equally between two students, then among three, four, five and six students. But, every time, she was left with one book. When she finally tried to distribute equally among seven students, she succeeded. What would be the minimum number of books that she could have?

Some soldiers were practising for the republic day parade. Three soldiers started together to march along the Rajpath at the same rate. The lengths of their march were 68 cm, 51 cm and 85 cm, respectively. How far did they go before their steps were in the same line together (in meters)?

Rahul owns a garment shop. He sells t-shirts in his shop. He noticed that total number of t-shirts sold on Monday is the highest number, which divides 3838 and 5123 to leave remainders 3 and 13 respectively. Then find out total number of t-shirts sold on Monday.

Aryan and Vishal are friends. Aryan notices that his age is divisible by 14 and his friend notices that it is divisible by 3. What could be the lowest possible age of Aryan?

Three tube lights are connected in such a manner that they glow for every 60 seconds, 48 seconds and 72 seconds, respectively. All of them glow at once at 10 a.m. When will they again glow simultaneously?

Which of the following statement is/are correct?

(A) All natural numbers are whole numbers but all whole numbers are not natural numbers.
(B) Every integer, natural and whole number is a irrational number.
(C) All rational and all irrational numbers make the collection of real numbers.
(D) The product of two consecutive positive integers is divisible by 3.

Fill in the blanks.

(1) Every W represented by a numerical string of digits, possibly continuing forever. This is called the X representation of the number.
(2) The set of all Y and fractional numbers between them comprise the set of Z numbers.

Match Column 1 with Column 2:

	Column 1		Column 2
(A)	Rational form of 0.	1.
(B)	Rational form of	2.
(C)	Rational form of 0.1	3.
(D)	Rational form of 1.	4.

A cricket association distributes bats of different companies as gifts to players for their good performance in matches. The cricket association distributes 18 different bats of Reebok, 36 different bats of Adidas and 30 different bats of Puma to players. Each player is given maximum no. of bats of only one company of their interest and each player got equal number of bats.

1. What is the maximum number of bats each player can get if all the players get equal number of bats and each player can have bats of only one brand?
2. What will be the total number of players?

Read the statements carefully and state 'T' for True and 'F' for False.

(1) is a terminating decimal.

(2) is a non-terminating decimal.

(3) is a non-terminating decimal.

(4) is a terminating decimal.