List of top Mathematics Questions asked in GATE XH- C4

In the following figure, four overlapping shapes (rectangle, triangle, circle, and hexagon) are given. The sum of the numbers which belong to only two overlapping shapes is ________

Given a series $ 5, 8, 11, 14, \dots $, if the $ n $-th term of the given series is 320, then find $ n $ (where $ n \geq 1 $):

If $ \times $ means $ + $, $ + $ means $ \div $, $ - $ means $ \times $, and $ \div $ means $ - $, then evaluate: 8 $ \times $ 7 $ - $ 8 $ + $ 40 $ \div $ 2.

The table shows the data of 450 candidates who appeared in the examination of three subjects – Social Science, Mathematics, and Science. How many candidates have passed in at least one subject?

How many candidates have passed in at least one subject?

Which one of the following plots represents $ f(x) = -\frac{|x|}{x} $, where $ x $ is a non-zero real number?
Note: The figures shown are representative.

The population of a country increased by 5% from 2020 to 2021. Then, the population decreased by 5% from 2021 to 2022. By what percentage did the population change from 2020 to 2022?

A square with sides of length $6\,\text{cm}$ is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as shown. The area of the shaded region is $\underline{\hspace{1cm}}$ $\text{cm}^2$.

The digit in the unit's place of the product $3^{999\times 7^{1000}}$ is $\underline{\hspace{1cm}}$.

Which one of the following options represents the given graph?

A firm needs both skilled labour and unskilled labour. Skilled wage = ₹ 40,000 per month; unskilled wage = ₹ 15,000 per month. The total wage bill for 100 labourers is ₹ 23,75,000 in a month. How many skilled labour are employed? (in Integer)

$\sim q$ can be deduced from $\sim(p \supset (q \lor r))$ by using rules of propositional logic in the following sequence(s):

(i) $p \supset (q \cdot r)$ (ii) $\sim(p \supset s)$
Taking (i) and (ii) as premises, which of the following can be deduced?

Given a fair six-faced dice where the faces are labelled '1', '2', '3', '4', '5', and '6', what is the probability of getting a '1' on the first roll of the dice and a '4' on the second roll?