CUET General Test: Quantitative ReasoningNumber System. Free, no login required.

7^6n - 6^6n, where n is an integer greater than 0, is divisible by

How many pairs of positive integers e, f satisfy 1/e + 4/f = 1/12 where f is an odd integer less than 60?

Which one of the following is/are correct?

(A) Every irrational number is a real number.

(B) Every real number is an irrational number.

(C) The sum or difference of a rational number and an irrational number is an irrational number.

(D) The product or quotient of a non-zero rational number with an irrational number is an irrational number.

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Match List-I with List-II

[a, b as given in the Euclidean algorithm, quotient (q), Remainder (r)]

Remainder (r)

$a = bq + r$

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How many numbers between -13 and 13 are multiples of 3 or 5?

The sum of the perfect squares between 150 and 250 is:

Determine the unit's digit in the product of consecutive numbers from 86 to 94?

Consider the following statements:

(A) The unit's digit in the product of (5236 x 6231) is 1.

(B) The digit in the unit's place for the product 31 x 32 x 33 x 34 x ....x 49 is 0.

(C) The sum of the face values of 7 and 4 in 8175349 is 11.

(D) The sum of the place values of 3 in 3935 is 6.

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Two numbers are in ratio 2:7 and their L.C.M. is 182. The greater number is

Consider the following statements

(A) 141 is a prime number.

(B) 2984234 is divisible by 11

(C) 39552 is divisible by 18.

(D) The sum of the face values of 3 and 5 in 36251 is 8.

Choose the correct answer from the options given below:

Consider the following statements

(A) Square of an odd number is of the form 4n + 1.

(B) 1 is a prime number.

(C) 83356768 is divisible by 11.

Which of the statement(s) given above is/are incorrect?

The difference between the squares of two consecutive even integers will always be divisible by which of the following?

(A) 2

(B) 3

(C) 4

(D) 5

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Six bells ring at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. Once, when they start ringing simultaneously for the first time, then determine how many times they will ring together in a continuous span of 30 minutes?

A number when divided by 95 leaves a remainder 43. If the same number is divided by 19, then the remainder will be:

Match List-I with List-II

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The nearest integer to 6650 which is exactly divisible by 429 is

The sum of the digits of a 4-digit number is subtracted from the number. The resulting number is always

Arrange the fractions in decreasing order:

(A) $\frac{4}{5}$

(B) $\frac{7}{8}$

(C) $\frac{3}{7}$

(D) $\frac{5}{9}$

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Match List-I with List-II

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Given below are two statements:

Statement (I): 2469385422 is divisible by 18.

Statement (II): 3475824638 is divisible by 11.

In light of the above statements, choose the most appropriate answer from the options given below.

If x and y are negative integers, then which of the following statements is/are always true?

(A) x + y is positive integer.

(B) xy is positive integer.

(C) x-y is positive integer.

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Match List-I with List-II

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The sum of first 10 prime numbers is:

Which of the following pair of numbers is relatively prime to each other?

How many two-digit numbers are divisible by 3?

The remainder when $(15^{23} + 23^{23})$ is divided by 19, is:

Match List-I with List-II

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Which one of the following statement(s) is/are correct?

(A) Every whole number is a natural number.

(B) Every natural number is a whole number.

(C) Every integer is a whole number.

(D) Every rational number is a whole number

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How many perfect squares lie between 120 and 300?

The sum of all prime numbers less than 20 is: