Recent questions tagged nielit2019feb-scientistc

If $x=\cos1^{\circ} \cdot \cos2^{\circ} \cdot \cos3^{\circ}\dots\cos89^{\circ}$ and $y=\cos2^{\circ}\cos6^{\circ}\cos10^{\circ}\dots\cos86^{\circ}$ then what the integer ...

The simplified form of $\left[ \left ( \left( \dfrac{a+1}{a-1}\right)^2+3 \right)\div \left( \left( \dfrac{a-1}{a+1}\right)^2+3\right) \right] \div \left [\left( \dfrac{a...

Two persons start walking on a road that diverge at an angle of $120^{\circ}$. If they walk at the rate of $3$km/h and $2$km/h respectively.Find the distance between them...

A conical tent is to accommodate $10$ persons. Each person must have $6m^{2}$ space to sit and $30m^{3}$ of air to breath. What will be height of cone?$37.5$ m$150$ m$75$...

If $cosec\theta-\sin\theta=1$ and $\sec\theta-\cos\theta=m$, then $l^{2}m^{2}(l^{2}+m^{2}+3)$ equals to:$1$$2$$2 \sin\theta$$\sin\theta \cos\theta$

If $8v-3u=5uv \: \: \& \: \: 6v-5u=-2uv$ then $31u+46v$ is:$44$$42$$33$$55$

If $x=\dfrac{\sqrt{10}+\sqrt{2}}{2}, \: \: y=\dfrac{\sqrt{10}-\sqrt{2}}{2}$ then the value of $\log _{2}(x^{2}+xy+y^{2})$ is:$0$$1$$2$$3$

If a clock strikes once at one o’clock, twice at two o’clock and twelve times at $12$ o’clock and again once at one o’clock and so on, How many times will the bell be str...

The price of an article was increased by $p\%$, later the new price was decreased by $p\%$. If the last price was Re. $1$ then the original price was:$\dfrac{1-p^{2}}{200...

In a bangle shop. If the shopkeeper displays the bangles in the form of a square then he is left with $38$ bangles. If he wanted to increase the size of square by one ban...

A cylindrical box of radius $5$ cm contains $10$ solid spherical balls each of radius $5$ cm. If the topmost ball touches the upper cover of the box, then the volume of t...

A charitable trust donates $28$ different books of Maths, $16$ different books of science and $12$ different books of social science to poor students. Each student is giv...

If $(-4,0),(1,-1)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on:$y=x$$5x+y+12=0$$x+5y-4=0$$x-5y+4=0$

The factors of $(x^{2}+4y^{2}+4y-4xy-2x-8)$ are:$(x-2y-4)(x-2y+2)$$(x-y+2)(x-4y-4)$$(x+2y-4)(x+2y+2)$None of these

If $\log _{e}x+\log _{e}(1+x)=0,$ then:$x^{2}+x-1=0$$x^{2}+x+1=0$$x^{2}+x-e=0$$x^{2}+x+e=0$

If the ratio of the areas of two squares is $9:1$, the ratios of their perimeters is:$9:1$$3:1$$3:4$$1:3$

In a class consisting of $100$ students, $20$ know English and $20$ do not know Hindi and $10$ know neither English nor Hindi. The number of students knowing both Hindi a...

By which one of the following should we multiply $152207$ so that the product is $11111111$?$53$$63$$73$$83$

Four milkmen rented a pasture. $A$ grazed $18$ cows for $4$ months, $B$ $25$ cows for $2$ months, $C$ $28$ cows for $5$ months and $D$ $21$ cows for $3$ months. If $A$’s ...

For a sphere of radius $10$ cm, the numerical value of the surface area is how many percent of the numerical value of its volume?$26.5\%$$24\%$$30\%$$45\%$

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of $2$ kmph and $4$ kmph and passes them completely in $9$ an...

A sum of money amounts to $₹6,690$ after $3$ years and to $₹10,035$ after $6$ years on compound interest. The sum is:$₹4,400$$₹4,460$$₹4,520$$₹4,445$

A can contains a mixture of two liquids $\text{A}$ and $\text{B}$ in proportion $7:5$. When $9$ litres of mixture are drawn off and the can is filled with $\text{B}$, the...

Kamla got married $6$ years ago. Today her age is $1\dfrac{1}{4}$ times of her age at the time of marriage. Her son’s age is $\dfrac{1}{10}$ times of her age. Her son’s a...

$A$ and $B$ can complete a task in $30$ days when working together. After $A$ and $B$ have been working together for $11$ days, $B$ is called away and $A$, himself comple...

Tarun bought a T.V with $20\%$ discount on the labelled price. If he had bought it with $25\%$ discount, he would have saved $₹500$. At what price did he buy the T.V.?$₹8...

About the number of pairs which have $16$ as their H.C.F. and $136$ as their L.C.M., we can definitely say that:Only one such pair existsOnly two such pairs existMany suc...

If $a^{x}=b, b^{y}=c$ and $c^{z}=a$, then $xyz$ equals:$abc$$\dfrac{1}{abc}$$1$None

On dividing $50$ into two parts such that the sum of their reciprocals is $\dfrac{1}{12}$, we get the parts as:$20,30$$24,26$$28,22$$36,14$