Let R be a relation defined as xRy if and only if 2x + 3y = 20, where x, y ∈ N. How many elements of the form (x, y) are there in R?

Some parts of the sentence have an error and some parts are correct. Find out which part of the sentence has an error. If a sentence is free from error, choose 'No error' as the answer.

The pollution level is very (a) / high in our city, and (b) / becomes a health hazard. (c) / No error (d).

Which among the following is major component of Gobar Gas?

Which is the lowermost layer of the earth’s atmosphere?

Which of the following regions was known as Jejakabhukti in early Medieval India?

A parallelogram has three consecutive vertices (-3, 4), (0, -4) and (5, 2). The fourth vertex is

Consider the following statements:

1. A = {1, 3, 5} and B = {2, 4, 7} are equivalent sets.
2. A = {1, 5, 9} and B = {1, 5, 5, 9, 9} are equal sets.

Which of the above statements is/are correct?

Which among the following tunnel connects France and Italy?

Some parts of the sentence have an error and some parts are correct. Find out which part of the sentence has an error. If a sentence is free from error, choose 'No error' as the answer.

India is a country of linguistic (a) / and cultural diversity with (b) / multiple ethnic and social groups. (c) / No

With the numbers 2, 4, 6, 8, all the possible determinants with these four different elements are constructed. What is the sum of the values of all such determinants?

Which among the following xeric landform is a deep shaped valley formed by erosion?

Which of the following acids is used in the Lead storage battery?

Directions: Given below are some idioms/phrases followed by four alternative meanings to each. Choose the response (a), (b), (c) or (d) which is the most appropriate meaning, and mark your response accordingly.

A bag of bones

The temple city of Osian, near Jodhpur was built by which among the following Rajput Kings?

Which among the following countries does not border Uzbekistan?

The element in the ith row and the jth column of a determinant of third order is equal to 2(i + j). What is the value of the determinant?

Conifers can tolerate extreme environments because of__?

The collision of which protoplanet to Earth is related to the formation of the Moon?

What is the sum of the coefficients of first and last terms in the expansion of (1 + x)2n, where n is a natural number?

Which plant material is called an embryo?

What is the coefficient of the middle term in the expansion of (1 + 4x + 4x2)5?

What is C(n, 1) + C(n, 2) + _ _ _ _ _ + C(n, n) equal to

Given below are some idioms/phrases followed by four alternative meanings to each. Choose the response (a), (b), (c) or (d) which is the most appropriate meaning, and mark your response accordingly.

Once-over

Who among the following built the Alai Darwaza?

Oxidative phosphorylation usually refers to__?

Which of the following is NOT correct about Ethanol?

Which of the following glacier is not situated in Antarctica?

Direction: Choose the response, whichever is the most appropriate expression and mark your response in your answer sheet accordingly.

To pull up

What is the value of the following?

tan 31° tan 33° tan 35° _ _ _ _ _ tan 57° tan 59°

Which of the following metals is a bad conductor of heat?