Numerical Ability · General Aptitude · GATE ME

Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}

In the following series, identify the number that needs to be changed to form the Fibonacci series.1, 1, 2, 3, 6, 8, 13, 21, …

The real variables $x, y, z$, and the real constants $p, q, r$ satisfy$\frac{x}{pq - r^2} = \frac{y}{qr - p^2} = \frac{z}{rp - q^2}$Given that the den...

Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land o...

A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. What is...

The minute-hand and second-hand of a clock cross each other _______ times between 09:15:00 AM and 09:45:00 AM on a day. 

Which one of the following is a representation (not to scale and in bold) of all values of x satisfying the inequality $2-5x\leq-\left(\frac{6x-5...

If $f(x)=2\ln(\sqrt{e^x})$, what is the area bounded by f(x) for the interval [0, 2] on the x-axis?

The average of the monthly salaries of M, N and S is ₹ 4000. The average of the monthly salaries of N, S and P is ₹ 5000. The monthly salary of P is ₹...

A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform spee...

The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is ____.

A worker noticed that the hour hand on the factory clock had moved by 225 degrees during her stay at the factory. For how long did she stay in the fac...

The product of three integers X, Y and Z is 192. Z is equal to 4 and P is equal to the average of X and Y. What is the minimum possible value of P?

The value of the expression $${1 \over {1 + \log _u^{vw}}} + {1 \over {1 + \log _v^{wu}}} + {1 \over {1 + \log _w^{uv}}}$$ is

Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m2 of...

A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?

How many combinations of non-null sets A, B, C are possible from the subsets of {2, 3, 5} satisfying the conditions: (i) A is a subset of B, and (ii) ...

Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is...

Consider the following inequalities 𝑝2 − 4𝑞 < 4 3𝑝 + 2𝑞 < 6 where 𝑝 and 𝑞 are positive integers. The value of (𝑝 + 𝑞) is _______.&nb...

How many pairs of sets (S,T) are possible among the subsets of {1, 2, 3, 4, 5, 6} that satisfy the condition that S is a subset of T? 

Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but al...

For the past m days, the average daily production at a company was 100 units per day. If today’s production of 180 units changes the average to 110 u...

Consider the following functions for non-zero positive integers, p and q. $\rm f(p,q)=\frac{p\times p\times p\times.......\times p}{q\ terms}=p^q;\;$...

Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the f...

A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within t...

An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters of the equilateral triangle to square to circle?...

In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in...

M and N had four children P, Q, R and S. Of them, only P and R were married. They had children X and Y respectively. If Y is a legitimate child of W, ...

A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at these skill levels of total employment in 2010 is giv...

A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes. In one he got 10% profit and in the other he got 12%. ...

Two pipes P and Q can fill a tank in 6 hours and 9 hours respectively, while a third pipe R can empty the tank in 12 hours. Initially, P and R are ope...

Fiscal deficit was 4% of the GDP in 2015 and that increased to 5% in 2016. If the GDP increased by 10% from 2015 to 2016, the percentage increase in t...

Mola is a digital platform for taxis in a city. It offers three types of rides- Pool, Mini and Prime. The table below presents the number of rides for...

A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number. i. If the h...

Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen...

A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of th...

A wire would enclose an area of 1936 m2 , if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shor...

An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for ...

From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a const...

Which of the following functions describe the graph shown in the below figure? ...

For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log |a| + log |b| + log |c| = 0?

Given that a and b are integers and a + a2 b3 is odd, which one of the following statements is correct?