List of top Mathematics Questions asked in GATE Humanities and Social Sciences- Linguistics

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.

For positive integers $p$ and $q$, with $\tfrac{p}{q} \neq 1$, $\Big(\tfrac{p}{q}\Big)^{\tfrac{p}{q}} = p^{\big(\tfrac{p}{q}-1\big)}$. Then,

A logician proves that $(P \land Q) \rightarrow (P \lor Q)$ is a tautology in the following steps:

i. $(P \land Q) \rightarrow (P \lor Q)$
ii. $\langle X \rangle \langle OP \rangle (P \lor Q)$
iii. $(\neg P \lor P \lor Q \lor \neg Q)$
iv. $T$ (TRUE)

Other symbols are standard logic operators: $\neg$ stands for NEGATION; $\land$ for AND; $\lor$ for OR; and $\rightarrow$ for IMPLIES.

Which of the following is/are the set of correct values of $X$ and $OP$?

Consider the predicate calculus expression, $\forall x\, P(x) \rightarrow \exists x\, P(x)$. Which of the following English sentences with respect to a club called Sunshine is/are equivalent to this predicate calculus expression?

During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be $89.85^\circ$, the ratio of the Earth-Sun and Earth-Moon distances is closest to

In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road. If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is

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)

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 $\underline{\hspace{1cm}}$.

Select the correct relation between $E$ and $F$. $E=\dfrac{x}{1+x}$ \; and \; $F=\dfrac{-x}{\,1-x\,}$, \; with $x>1$.

Which one of the following options represents the given graph?