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Recent questions tagged nielit2019feb-scientistd

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41
NIELIT 2019 Feb Scientist D - Section D: 15
The roots of the equation $x^{2/3}+x^{1/3}-2=0$ are : $1, -8$ $-1, -2$ $\frac{2}{3}, \frac{1}{3}$ $-2, -7$
The roots of the equation $x^{2/3}+x^{1/3}-2=0$ are :$1, -8$$-1, -2$$\frac{2}{3}, \frac{1}{3}$$-2, -7$
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43
NIELIT 2019 Feb Scientist D - Section D: 13
Find the value of the expression $1-6+2-7+3-8+\dots\dots$ to $100$ terms. $-250$ $-500$ $-450$ $-300$
Find the value of the expression $1-6+2-7+3-8+\dots\dots$ to $100$ terms.$-250$$-500$$-450$$-300$
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45
NIELIT 2019 Feb Scientist D - Section D: 11
What will be area of the rhombus with equations of sides $ax \pm$ $by \pm c$ = $1$ ? $\frac{3c^{2}}{ab}$sq. units $\frac{4c^{2}}{ab}$sq. units $\frac{2c^{2}}{ab}$sq. units $\frac{c^{2}}{ab}$sq. units
What will be area of the rhombus with equations of sides $ax \pm$ $by \pm c$ = $1$ ?$\frac{3c^{2}}{ab}$sq. units$\frac{4c^{2}}{ab}$sq. units$\frac{2c^{2}}{ab}$sq. units$\...
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46
NIELIT 2019 Feb Scientist D - Section D: 20
If $\left (-4, 0 \right), \left(1, -1 \right)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on : $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
If $\left (-4, 0 \right), \left(1, -1 \right)$ 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$$x-5y+4=...
1 votes
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47
NIELIT 2019 Feb Scientist D - Section D: 19
If $x= \frac{\sqrt{p^{2}+q^{2}}+\sqrt{p^{2}-q^{2}}}{{\sqrt{p^{2}+q^{2}}-\sqrt{p^{2}-q^{2}}}}$ then $q^{2}x^{2}-2p^{2}x+q^{2}$ equals to : $3$ $-1$ $-2$ $0$
If $x= \frac{\sqrt{p^{2}+q^{2}}+\sqrt{p^{2}-q^{2}}}{{\sqrt{p^{2}+q^{2}}-\sqrt{p^{2}-q^{2}}}}$ then $q^{2}x^{2}-2p^{2}x+q^{2}$ equals to :$3$$-1$$-2$$0$
1 votes
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48
NIELIT 2019 Feb Scientist D - Section D: 18
If $ x^{a}=y^{b}=z^{c} $ and $ y^{2}=zx $ then the value of $ \frac{1}{a} + \frac{1}{c}$ is : $ \frac{b}{2}$ $ \frac{c}{2}$ $ \frac{2}{b}$ $ \frac{2}{a}$
If $ x^{a}=y^{b}=z^{c} $ and $ y^{2}=zx $ then the value of $ \frac{1}{a} + \frac{1}{c}$ is :$ \frac{b}{2}$$ \frac{c}{2}$$ \frac{2}{b}$$ \frac{2}{a}$
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50
NIELIT 2019 Feb Scientist D - Section D: 17
If $ \ Sinx+Sin^{2} x=1$ then $ \ Cos^{8}x+ 2 \ Cos^{6} x+ \ Cos^{4} x$ equals to : $0$ $-1$ $1$ $2$
If $ \ Sinx+Sin^{2} x=1$ then $ \ Cos^{8}x+ 2 \ Cos^{6} x+ \ Cos^{4} x$ equals to :$0$$-1$$1$$2$
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51
NIELIT 2019 Feb Scientist D - Section D: 21
How many litres of a $3\%$ hydrogen peroxide solution should be mixed with $6$ liters of a $30\%$ hydrogen peroxide solution so as to get a mixture of $12\%$ solution ? $3$ litres $6$ liters $9$ litres $12$ litres
How many litres of a $3\%$ hydrogen peroxide solution should be mixed with $6$ liters of a $30\%$ hydrogen peroxide solution so as to get a mixture of $12\%$ solution ?$3...
1 votes
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52
NIELIT 2019 Feb Scientist D - Section D: 24
$ \sin^{-1}\left [ \frac{3}{5} \right ] + \tan^{-1}\left [ \frac{1}{7} \right ]=$ $\frac{\pi }{4}$ $\frac{\pi }{2}$ $ \cos^ {-1} \frac{4}{5} $ $\pi$
$ \sin^{-1}\left [ \frac{3}{5} \right ] + \tan^{-1}\left [ \frac{1}{7} \right ]=$$\frac{\pi }{4}$$\frac{\pi }{2}$$ \cos^ {-1} \frac{4}{5} $$\pi$
1 votes
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55
NIELIT 2019 Feb Scientist D - Section D: 25
In the following system of equations $2^{y-x} \left(x+y \right)=1$ & $\left(x+y \right)^{x-y}=2$ the value of $xy$ is : $\frac{1}{2}$ $\frac{3}{4}$ $\frac{1}{4}$ $1$
In the following system of equations $2^{y-x} \left(x+y \right)=1$ & $\left(x+y \right)^{x-y}=2$ the value of $xy$ is :$\frac{1}{2}$$\frac{3}{4}$$\frac{1}{4}$$1$
3 votes
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57
NIELIT 2019 Feb Scientist D - Section D: 30
Find the value of $x$ satisfying : $\log_{10} \left (2^{x}+x-41 \right)=x \left (1-\log_{10}5 \right)$ $40$ $41$ $-41$ $0$
Find the value of $x$ satisfying : $\log_{10} \left (2^{x}+x-41 \right)=x \left (1-\log_{10}5 \right)$$40$$41$$-41$$0$
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58
NIELIT 2019 Feb Scientist D - Section D: 28
$\left [\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{4}{1+x^{4}}+\frac{8}{1+x^{8}} \right ]$ equal to : $1$ $0$ $\frac{8}{1-x^{8}}$ $\frac{16}{1-x^{16}}$
$\left [\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{4}{1+x^{4}}+\frac{8}{1+x^{8}} \right ]$ equal to :$1$$0$$\frac{8}{1-x^{8}}$$\frac{16}{1-x^{16}}$
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59
NIELIT 2019 Feb Scientist D - Section D: 29
The image of the point $\left (3, 8 \right)$ in the line $x+3y=7$ is : $\left (1, 4 \right)$ $\left (4, 1 \right)$ $\left (-1, -4 \right)$ $\left (-4, -1 \right)$
The image of the point $\left (3, 8 \right)$ in the line $x+3y=7$ is :$\left (1, 4 \right)$$\left (4, 1 \right)$$\left (-1, -4 \right)$$\left (-4, -1 \right)$
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60
NIELIT 2019 Feb Scientist D - Section D: 27
If $5$ spiders can catch $5$ files in $5$ minutes. How many files can $100$ spiders catch in $100$ minutes : $100$ $1000$ $500$ $2000$
If $5$ spiders can catch $5$ files in $5$ minutes. How many files can $100$ spiders catch in $100$ minutes :$100$$1000$$500$$2000$
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61
NIELIT 2019 Feb Scientist D - Section C: 1
The $L.C.M$ of $\left (x^{3}-x^{2}-2x \right)$ and $\left (x^{3}+x^{2} \right)$ is : $\left (x^{3}-x^{2}-2x \right)$ $\left (x^{2}+x \right)$ $\left (x^{4}-x^{3}-2x^{2} \right)$ $x-2$
The $L.C.M$ of $\left (x^{3}-x^{2}-2x \right)$ and $\left (x^{3}+x^{2} \right)$ is : $\left (x^{3}-x^{2}-2x \right)$$\left (x^{2}+x \right)$$\left (x^{4}-x^{3}-2x^{2} \ri...
1 votes
1 answer
63
NIELIT 2019 Feb Scientist D - Section C: 6
A certain number consists of two digits whose sum is $9$. It the order of digits is reversed, the new number is $9$ less than the original number. The original number is : $45$ $36$ $54$ $63$
A certain number consists of two digits whose sum is $9$. It the order of digits is reversed, the new number is $9$ less than the original number. The original number is ...
1 votes
1 answer
64
NIELIT 2019 Feb Scientist D - Section C: 3
If $t^{2}-4t+1=0$, then the value of $\left[t^{3}+1/t^{3} \right]$ is : $44$ $48$ $52$ $64$
If $t^{2}-4t+1=0$, then the value of $\left[t^{3}+1/t^{3} \right]$ is :$44$$48$$52$$64$
0 votes
2 answers
68
NIELIT 2019 Feb Scientist D - Section C: 11
Due to a fall in the rate of interest from $13\%$ p.a. to $12\frac{1}{2}\%$ p.a., a money lender's yearly income diminishes by ₹ $104$. His capital is : ₹ $21, 400$ ₹ $20,800$ ₹ $22,300$ ₹ $24,000$
Due to a fall in the rate of interest from $13\%$ p.a. to $12\frac{1}{2}\%$ p.a., a money lender's yearly income diminishes by ₹ $104$. His capital is :₹ $21, 400$₹...
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70
NIELIT 2019 Feb Scientist D - Section C: 7
In an examination, $52\%$ of the candidates failed in English, $42\%$ in Mathematics and $17\%$ in both. The number of those who passed in both the subjects, is : $83\%$ $23\%$ $64\%$ $55.5\%$
In an examination, $52\%$ of the candidates failed in English, $42\%$ in Mathematics and $17\%$ in both. The number of those who passed in both the subjects, is :$83\%$$2...
0 votes
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71
NIELIT 2019 Feb Scientist D - Section C: 9
The greatest number of four digits which is divisible by each one of the numbers $12$, $18$, $21$ & $28$, is : $9848$ $9864$ $9828$ $9636$
The greatest number of four digits which is divisible by each one of the numbers $12$, $18$, $21$ & $28$, is :$9848$$9864$$9828$$9636$
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75
NIELIT 2019 Feb Scientist D - Section C: 13
A boy $1.4$ $m$ tall casts a shadow $1.2$ $m$ long at the time when a building casts a shadow $5.4$ $m$ long. The height of the building is: $4.63 m$ $3.21 m$ $6.3 m$ $5.6 m$
A boy $1.4$ $m$ tall casts a shadow $1.2$ $m$ long at the time when a building casts a shadow $5.4$ $m$ long. The height of the building is:$4.63 m$$3.21 m$$6.3 m$$5.6 m$...
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76
NIELIT 2019 Feb Scientist D - Section C: 12
₹ $49$ were divided among $150$ children. Each girl got $50$ paise and a boy $25$ paise. How many boys were there ? $100$ $102$ $104$ $105$
₹ $49$ were divided among $150$ children. Each girl got $50$ paise and a boy $25$ paise. How many boys were there ?$100$$102$$104$$105$
0 votes
2 answers
77
NIELIT 2019 Feb Scientist D - Section C: 18
A dishonest milkman professes to sell his milk at $C.P$. but he mixes it with water and thereby gains $25\%$. The percentage of water in the mixture is : $25\%$ $20\%$ $4\%$ None of these
A dishonest milkman professes to sell his milk at $C.P$. but he mixes it with water and thereby gains $25\%$. The percentage of water in the mixture is :$25\%$$20\%$$4\%$...
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80
NIELIT 2019 Feb Scientist D - Section C: 19
A man invests some money partly in $3\%$ stock at $96$ and partly in $4\%$ stock at $120$. To get equal dividends from both, he must invest the money in the ratio : $16 : 25$ $4 : 3$ $4 : 5$ $3 : 5$
A man invests some money partly in $3\%$ stock at $96$ and partly in $4\%$ stock at $120$. To get equal dividends from both, he must invest the money in the ratio :$16 : ...
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