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Recent questions tagged nielit2019feb-scientistd
0
votes
1
answer
41
NIELIT 2019 Feb Scientist D - Section D: 15
The roots of the equation $x^{2/3}+x^{1/3}-2=0$ are : $1, -8$ $-1, -2$ $\frac{2}{3}, \frac{1}{3}$ $-2, -7$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
296
views
nielit2019feb-scientistd
quantitative-aptitude
polynomials
0
votes
1
answer
42
NIELIT 2019 Feb Scientist D - Section D: 14
A bag contains $12$ balls of the two different colours out of which $x$ are white. One ball is drawn at random. If $6$ more white balls are put in a bag, the probability of drawing a white ball now will be doubled to that of previous probability of drawing a white ball. The value of $x$ is : $4$ $5$ $6$ $3$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
357
views
nielit2019feb-scientistd
quantitative-aptitude
probability
0
votes
1
answer
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. $-250$ $-500$ $-450$ $-300$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
290
views
nielit2019feb-scientistd
quantitative-aptitude
sequences&series
0
votes
1
answer
44
NIELIT 2019 Feb Scientist D - Section D: 12
The value of the following expression : $\left [ \frac{1}{2^{2}-1} \right ]+\left [ \frac{1}{4^{2}-1} \right ]+\left [ \frac{1}{6^{2}-1} \right ]+\dots\dots+\left [ \frac{1}{20^{2}-1} \right ]$ is : $\frac{10}{21}$ $\frac{13}{27}$ $\frac{15}{22}$ $\frac{22}{15}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
276
views
nielit2019feb-scientistd
quantitative-aptitude
sequences&series
0
votes
1
answer
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
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
362
views
nielit2019feb-scientistd
quantitative-aptitude
geometry
0
votes
1
answer
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 : $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
246
views
nielit2019feb-scientistd
quantitative-aptitude
geometry
1
vote
1
answer
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 : $3$ $-1$ $-2$ $0$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
316
views
nielit2019feb-scientistd
quantitative-aptitude
quadratic-equations
1
vote
1
answer
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}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
266
views
nielit2019feb-scientistd
quantitative-aptitude
polynomials
0
votes
1
answer
49
NIELIT 2019 Feb Scientist D - Section D: 16
The sum of first $n$ terms of an $A.P$. whose first term is $\pi$ is zero. The sum of next $m$ terms is : $\frac{ \pi m \left(m+n \right)}{n-1}$ $\frac{ \pi n \left(m+n \right)}{1-n}$ $\frac{ \pi m \left(m+n \right)}{1-n}$ $1$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
284
views
nielit2019feb-scientistd
quantitative-aptitude
sequences&series
0
votes
1
answer
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 : $0$ $-1$ $1$ $2$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
234
views
nielit2019feb-scientistd
quantitative-aptitude
trigonometry
0
votes
1
answer
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
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
541
views
nielit2019feb-scientistd
quantitative-aptitude
alligation-mixture
0
votes
1
answer
52
NIELIT 2019 Feb Scientist D - Section D: 23
A train enters into a tunnel $AB$ at $A$ and exits at $B$. A jackal is sitting at $O$ in another by passing tunnel $AOB$, which is connected to $AB$ at $A$ and $B$, where $OA$ is perpendicular to $OB$. A cat is sitting at $P$ inside the tunnel $AB$ ... The ratio of speeds of jackal and cat is : $\frac{2}{3}$ $\frac{4}{3}$ $\frac{5}{3}$ $\frac{3}{2}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
275
views
nielit2019feb-scientistd
quantitative-aptitude
train
0
votes
1
answer
53
NIELIT 2019 Feb Scientist D - Section D: 26
A dog at point $A$ goes in pursuit of a fox $30$ $m$ away. The dog makes $2$ $m$ and the fox, $1$ m long leaps. If the dog makes two leaps to the fox’s three, at what distance from $A$ will the dog catch up with the fox ? $100$ $m$ $110$ $m$ $105$ $m$ $120$ $m$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
448
views
nielit2019feb-scientistd
quantitative-aptitude
algebra
1
vote
0
answers
54
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 : $\frac{1}{2}$ $\frac{3}{4}$ $\frac{1}{4}$ $1$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
212
views
nielit2019feb-scientistd
quantitative-aptitude
system-of-equation
1
vote
1
answer
55
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} $ $\pi$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
270
views
nielit2019feb-scientistd
quantitative-aptitude
trigonometry
0
votes
1
answer
56
NIELIT 2019 Feb Scientist D - Section D: 22
A train travelling from Delhi to Ambala meets with an accident after $1$ hr. It is stopped for $\frac{1}{2}$ hr, after which it proceeds at fourth-fifth of its usual rate, arriving at Ambala at $2$ hr late. If the train has covered $80$ km more before the ... just $1$ hr late. The usual speed of the train is : $20$ km/hr $30$ km/hr $40$ km/hr $50$ km/hr
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
258
views
nielit2019feb-scientistd
quantitative-aptitude
train
0
votes
1
answer
57
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 : $1$ $0$ $\frac{8}{1-x^{8}}$ $\frac{16}{1-x^{16}}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
265
views
nielit2019feb-scientistd
quantitative-aptitude
polynomials
0
votes
0
answers
58
NIELIT 2019 Feb Scientist D - Section D: 29
The image of the point $\left (3, 8 \right)$ in the line $x+3y=7$ is : $\left (1, 4 \right)$ $\left (4, 1 \right)$ $\left (-1, -4 \right)$ $\left (-4, -1 \right)$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
240
views
nielit2019feb-scientistd
quantitative-aptitude
straight-lines
2
votes
1
answer
59
NIELIT 2019 Feb Scientist D - Section D: 30
Find the value of $x$ satisfying : $\log_{10} \left (2^{x}+x-41 \right)=x \left (1-\log_{10}5 \right)$ $40$ $41$ $-41$ $0$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
208
views
nielit2019feb-scientistd
quantitative-aptitude
equations
0
votes
1
answer
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 : $100$ $1000$ $500$ $2000$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
240
views
nielit2019feb-scientistd
quantitative-aptitude
algebra
0
votes
0
answers
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 : $\left (x^{3}-x^{2}-2x \right)$ $\left (x^{2}+x \right)$ $\left (x^{4}-x^{3}-2x^{2} \right)$ $x-2$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
207
views
nielit2019feb-scientistd
lcm-hcf
0
votes
1
answer
62
NIELIT 2019 Feb Scientist D - Section C: 5
A man travels $35$ km partly at $4$ $kmph$ and partly at $5$ $kmph$. If he covers the former distance at $5$ $kmph$ and the later distance at $4$ $kmph$, he could cover $2$ km more in the same time. The time taken to cover the whole distance at the original rate (in hours) is : $4\frac{1}{2}$ $7$ $8$ $9$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
347
views
nielit2019feb-scientistd
speed-distance-time
0
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 : $45$ $36$ $54$ $63$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
262
views
nielit2019feb-scientistd
number-systems
1
vote
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 : $44$ $48$ $52$ $64$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
300
views
nielit2019feb-scientistd
polynomials
0
votes
1
answer
65
NIELIT 2019 Feb Scientist D - Section C: 2
Ashok's age is $\left (\frac{1}{6} \right)^{th}$ of his father's age. The father's age will be twice of Kamal's age after $10$ years. If Kamal's eighth birthday was celebrated $2$ years before, what is Ashok's present age ? $24$ years $30$ years $\frac{20}{3}$ years None
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
313
views
nielit2019feb-scientistd
ages
0
votes
1
answer
66
NIELIT 2019 Feb Scientist D - Section C: 4
The difference between simple interest and compound interest on a sum for $2$ years at $8\%$, when the interest is compounded annually is ₹ $16$. If the interest were compounded half-yearly, the difference in $2$ years would be nearly : ₹ $16$ ₹ $16.80$ ₹ $21.85$ ₹ $24.64$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
248
views
nielit2019feb-scientistd
simple-interest
compound-interest
0
votes
0
answers
67
NIELIT 2019 Feb Scientist D - Section C: 8
$A$ can do a piece of work in $14$ days which $B$ can do in $21$ days. They begin together but $3$ days before the completion of the work, $A$ leaves off. The total number of days to complete the work is : $\frac{33}{5}$ $8\frac{1}{2}$ $\frac{51}{5}$ $13\frac{1}{2}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
204
views
nielit2019feb-scientistd
work-time
0
votes
1
answer
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 : ₹ $21, 400$ ₹ $20,800$ ₹ $22,300$ ₹ $24,000$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
409
views
nielit2019feb-scientistd
simple-interest
0
votes
1
answer
69
NIELIT 2019 Feb Scientist D - Section C: 10
If $9$ men working $7\frac{1}{2}$ hours a day can finish a work in $20$ days, then how many days will be taken by $12$ men working $6$ hours a day to finish the work, it being given that $3$ men of former type work as much as $2$ men of the latter type in the same time ? $12\frac{1}{2}$ $13$ $9\frac{1}{2}$ $11$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
339
views
nielit2019feb-scientistd
work-time
0
votes
0
answers
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 : $83\%$ $23\%$ $64\%$ $55.5\%$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
240
views
nielit2019feb-scientistd
percentage
0
votes
1
answer
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 : $9848$ $9864$ $9828$ $9636$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
357
views
nielit2019feb-scientistd
sequences&series
0
votes
0
answers
72
NIELIT 2019 Feb Scientist D - Section C: 17
A dinner party is to be fixed for a group consisting of $100$ persons. In this party, $50$ persons do not prefer fish, $60$ prefer chicken and $10$ do not prefer either chicken or fish. The number of persons who prefer both fish and chicken is: $10$ $20$ $30$ $40$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
185
views
nielit2019feb-scientistd
sets
0
votes
1
answer
73
NIELIT 2019 Feb Scientist D - Section C: 15
$21$ mango trees, $42$ apple trees and $56$ orange trees have to be planted in rows such that each row contains the same number of trees of one variety only. Minimum number of rows in which the above trees may be planted is : $3$ $15$ $17$ $20$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
243
views
nielit2019feb-scientistd
divisibility
0
votes
1
answer
74
NIELIT 2019 Feb Scientist D - Section C: 14
$A$ and $B$ entered into partnership with capitals in the ratio $4$ and $5$. After $3$ months, A withdrew $\frac{1}{4}$ of his capital and $B$ withdrew $\frac{1}{5}$ of his capital. The gain at the end of $10$ months was ₹ $760$. The share of $A$ in this profit is ₹ $360$ ₹ $330$ ₹ $430$ ₹ $380$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
212
views
nielit2019feb-scientistd
ratio-proportion
0
votes
1
answer
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: $4.63 m$ $3.21 m$ $6.3 m$ $5.6 m$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
319
views
nielit2019feb-scientistd
triangle
shadow
0
votes
1
answer
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 ? $100$ $102$ $104$ $105$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
304
views
nielit2019feb-scientistd
divisibility
0
votes
1
answer
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
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
400
views
nielit2019feb-scientistd
percentage
0
votes
1
answer
78
NIELIT 2019 Feb Scientist D - Section C: 16
The rates of simple interest in two banks $A$ and $B$ are in the ratio $5: 4$. A person wants to deposit his total savings in two banks in such a way that he received equal half-yearly interest from both. He should deposit the savings in Banks $A$ and $B$ in the ratio: $5:2$ $2:5$ $4:5$ $5:4$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
307
views
nielit2019feb-scientistd
ratio-proportion
0
votes
1
answer
79
NIELIT 2019 Feb Scientist D - Section C: 22
Three different containers contain different qualities of mixtures of milk and water whose measurements are $403$ $kg$, $434$ $kg$ and $465$ $kg$. What biggest measure must be there to measure all different qualities an exact number of times ? $1$ $kg$ $7$ $kg$ $41$ $kg$ $31$ $kg$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
221
views
nielit2019feb-scientistd
alligation-mixture
0
votes
1
answer
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 : $16 : 25$ $4 : 3$ $4 : 5$ $3 : 5$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
263
views
nielit2019feb-scientistd
ratio-proportion
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