# Recent questions tagged nielit2019feb-scientistc

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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 ...
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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... 1 answer 43 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... 1 answer 44 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$75$... 0 answers 45 The sum of the squares of the fifth and the eleventh term of an AP is$3$and the product of the second and fourteenth term is equal to$x$. Find the product of the first... 1 answer 46 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$$\sin\theta \cos\theta 0 answers 47 If {m_1} and {m_2} are the roots of equation x^{2}+(\sqrt{3}+2)x+\sqrt{3}-1=0 then area of the triangle formed by the lines y={m_1}x, \: \: y={m_2}x, \: \: y=c i... 1 answer 48 If 8v-3u=5uv \: \: \& \: \: 6v-5u=-2uv then 31u+46v is:44$$42$$33$$55$1 answer 49 If$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$$3 2 answers 50 Rs.6500 were divided among a certain number of persons. If there had been 15 more persons, each would have got Rs.30 less. Find the original number of persons.50$$...
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If $S_1,S_2,S_3,\dots\dots,S_m$ are the sum of first $n$ terms of $m$ arithmetic progressions, whose first terms are $1,4,9,16,\dots,m^{2}$ and common differences are $1... 1 answer 52 Find the number of numbers between$300$to$400$(both included) that are not divisible by$2,3,4$and$5$$50$$33$$26$$17$1 answer 53 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 bel... 1 answer 54 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...
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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...
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$A,B,C$ are three towns forming a triangle. A man has to walk from one town to next town, then ride to the next town then again drive towards his starting point. He can ...
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If $x+y+z=2, \:\: xy+yz+zx=-1$ then the value of $x^{3}+y^{3}+z^{3}$ is:$20$$16$$8$$0 1 answer 58 A cylindrical box of radius 5 cm contains 10 solid spherical balls each of radius 5 cm. If the topmost ball touches the upper cover of the box, then the volume of t... 1 answer 59 A charitable trust donates 28 different books of Maths, 16 different books of science and 12 different books of social science to poor students. Each student is giv... 2 answers 60 If (-4,0),(1,-1) are two vertices of a triangle whose area is 4 Sq units then its third vertex lies on:y=x$$5x+y+12=0$$x+5y-4=0$$x-5y+4=0$
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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
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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$$x^{2}+x+e=0 1 answer 63 If the ratio of the areas of two squares is 9:1, the ratios of their perimeters is:9:1$$3:1$$3:4$$1:3$
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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...
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An agent buys a T.V set listed at $\text₹10,000$ and gets $10\%$ and $20\%$ successive discounts. He spends $10\%$ of his C.P. on transport. At what price(in rupees) sh...
By which one of the following should we multiply $152207$ so that the product is $11111111$?$53$$63$$73$$83 1 answer 67 A and B start a business with initial investments in the ratio 12:11 and their annual profits were in the ratio 4:1. If A invested the money for 11 months, B... 1 answer 68 Four milkmen rented a pasture. A grazed 18 cows for 4 months, B 25 cows for 2 months, C 28 cows for 5 months and D 21 cows for 3 months. If A’... 1 answer 69 For a sphere of radius 10 cm, the numerical value of the surface area is how many percent of the numerical value of its volume?26.5\%$$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$$₹4,445 1 answer 72 A can contains a mixture of two liquids \text{A} and \text{B} in proportion 7:5. When 9 litres of mixture are drawn off and the can is filled with \text{B}, the... 1 answer 73 Kamla got married 6 years ago. Today her age is 1\dfrac{1}{4} times of her age at the time of marriage. Her son’s age is \dfrac{1}{10} times of her age. Her son�... 1 answer 74 A and B can complete a task in 30 days when working together. After A and B have been working together for 11 days, B is called away and A, himself comple... 1 answer 75 Tarun bought a T.V with 20\% discount on the labelled price. If he had bought it with 25\% discount, he would have saved ₹500. At what price did he buy the T.V.?... 2 answers 76 About the number of pairs which have 16 as their H.C.F. and 136 as their L.C.M., we can definitely say that:Only one such pair existsOnly two such pairs existMany suc... 1 answer 77 A man invests an amount of \text₹15,860 in the names of his three sons A,B and C in such a way that they get the same interest after 2,3 and 4 years respectiv... 2 answers 78 If a^{x}=b, b^{y}=c and c^{z}=a, then xyz equals:abc$$\dfrac{1}{abc}$$1None 2 answers 79 On dividing 50 into two parts such that the sum of their reciprocals is \dfrac{1}{12}, we get the parts as:20,30$$24,26$$28,22$$36,14$
$A$ has to pay $\text ₹220$ to $B$ after $1$ year. $B$ asks $A$ to pay $\text ₹110$ in cash and defer the payment of $\text ₹110$ for $2$ years. $A$ agrees to it. C...