List of top Mathematics Questions

A simple vapor compression refrigeration cycle with ammonia as the working fluid operates between 30°C and -10 °C as shown in the following figure. The saturated liquid and vapor enthalpies at 30 °C and -10 °C are provided in the table below. If the COP of the cycle is 5.6, the specific enthalpy at the inlet to the condenser is .................... kJ/kg (round off to the nearest integer) 

A vessel of 100 m length has a constant triangular cross-section with a depth of 12 m and breadth of 15 m as shown in following figure. The vessel has a vertical center of gravity (KG) = 6.675 m. The minimum draft (d), at which the vessel will become stable is .................... m (round off to one decimal place) 

 

A 'T' section is welded to the flat bottom shell plate of a ship as shown in the following figure (bottom shell longitudinal). The neutral axis of the ship's midship section is 14 m above the bottom shell plate. The distance (X) of neutral axis of the 'T' section from the ship's neutral axis is .................... m (round off to two decimal places) 

 

In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.) 

 

Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.

A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. 
The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry? (The figure is representative)

Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.
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?
Select the correct relation between $E$ and $F$. $E=\dfrac{x}{1+x}$ \; and \; $F=\dfrac{-x}{\,1-x\,}$, \; with $x>1$.
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}} $\text{cm}^2$.} \includegraphics[width=0.35\linewidth]{image10.png}
Which one of the following options represents the given graph? \includegraphics[width=0.5\linewidth]{image7.png}
The digit in the unit's place of the product $3^{999\times 7^{1000}$ is \underline{\hspace{1cm}}.}
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?

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?
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)