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Recent questions tagged nielit2019feb-scientistc
0
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1
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41
NIELIT 2019 Feb Scientist C - Section D: 8
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 is nearest to $\dfrac{2}{7}\log _{2} \left( \dfrac{y}{x}\right )$is: $19$ $17$ $15$ $21$
Lakshman Bhaiya
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in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
496
views
nielit2019feb-scientistc
quantitative-aptitude
trigonometry
0
votes
1
answer
42
NIELIT 2019 Feb Scientist C - Section D: 15
The simplified form of $\left[ \left ( \left( \dfrac{a+1}{a-1}\right)^2+3 \right)\div \left( \left( \dfrac{a-1}{a+1}\right)^2+3\right) \right] \div \left [\left( \dfrac{a^{3}+1}{a^{3}-1}\right)-\dfrac{2a}{a-1} \right]$ is: $a-1$ $1-a$ $-1$ $1$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
458
views
nielit2019feb-scientistc
algebra
0
votes
1
answer
43
NIELIT 2019 Feb Scientist C - Section D: 13
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 after $4$hrs. $4\sqrt{19}$ km $5$ km $7$ km $8\sqrt{19}$ km
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
668
views
nielit2019feb-scientistc
quantitative-aptitude
speed-distance-time
0
votes
1
answer
44
NIELIT 2019 Feb Scientist C - Section D: 12
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 $75$ m $15$ m
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
523
views
nielit2019feb-scientistc
quantitative-aptitude
geometry
0
votes
0
answers
45
NIELIT 2019 Feb Scientist C - Section D: 14
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 and fifteenth term of an AP. $\dfrac{(58x-39)}{45} \\$ $\dfrac{(98x-39)}{72} \\$ $\dfrac{(116x-39)}{90} \\$ $\dfrac{(98x-39)}{90}$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
361
views
nielit2019feb-scientistc
quantitative-aptitude
sequences&series
1
vote
1
answer
46
NIELIT 2019 Feb Scientist C - Section D: 16
If $cosec\theta-\sin\theta=1$ and $\sec\theta-\cos\theta=m$, then $l^{2}m^{2}(l^{2}+m^{2}+3)$ equals to: $1$ $2$ $2 \sin\theta$ $\sin\theta \cos\theta$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
660
views
nielit2019feb-scientistc
quantitative-aptitude
trigonometry
0
votes
0
answers
47
NIELIT 2019 Feb Scientist C - Section D: 17
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 $y={m_1}x, \: \: y={m_2}x, \: \: y=c$ is: $\bigg(\dfrac{\sqrt{33}+\sqrt{11}}{4}\bigg) c^{2} $ ... $\bigg (\dfrac{\sqrt{33}+\sqrt{10}}{4} \bigg ) c^{2}$ $\bigg( \dfrac{\sqrt{33}+\sqrt{21}}{4} \bigg) c^{3}$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
432
views
nielit2019feb-scientistc
quantitative-aptitude
quadratic-equations
0
votes
1
answer
48
NIELIT 2019 Feb Scientist C - Section D: 18
If $8v-3u=5uv \: \: \& \: \: 6v-5u=-2uv$ then $31u+46v$ is: $44$ $42$ $33$ $55$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
321
views
nielit2019feb-scientistc
quantitative-aptitude
equations
1
vote
1
answer
49
NIELIT 2019 Feb Scientist C - Section D: 19
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: $0$ $1$ $2$ $3$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
687
views
nielit2019feb-scientistc
quantitative-aptitude
equations
0
votes
2
answers
50
NIELIT 2019 Feb Scientist C - Section D: 23
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. $50$ $60$ $45$ $55$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
779
views
nielit2019feb-scientistc
quantitative-aptitude
algebra
0
votes
0
answers
51
NIELIT 2019 Feb Scientist C - Section D: 22
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 $1,2,3,4,\dots m$ respectively, then the value of $S_1+S_2+S_3+\dots \dots +S_m$ ... $\dfrac{mn(2m+1)}{3} \\$ $\dfrac{mn[3(m+1)+1]}{6} \\$ $\dfrac{mn(m+1)(4m+3n-1)}{12}$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
435
views
nielit2019feb-scientistc
quantitative-aptitude
sequences&series
0
votes
1
answer
52
NIELIT 2019 Feb Scientist C - Section D: 21
Find the number of numbers between $300$ to $400$ (both included) that are not divisible by $2,3,4$ and $5$ $50$ $33$ $26$ $17$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
363
views
nielit2019feb-scientistc
quantitative-aptitude
number-systems
divisibility
0
votes
1
answer
53
NIELIT 2019 Feb Scientist C - Section D: 20
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 struck in the course of $2$ days? $156$ $312$ $78$ $288$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
454
views
nielit2019feb-scientistc
quantitative-aptitude
clocks
0
votes
1
answer
54
NIELIT 2019 Feb Scientist C - Section D: 28
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: $\dfrac{1-p^{2}}{200}\\$ $\dfrac{\sqrt{1-p^{2}}}{100} \\$ $1-\dfrac{p^{2}}{10,000-p^{2}} \\$ $\dfrac{10,000}{10,000-p^{2}}$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
443
views
nielit2019feb-scientistc
quantitative-aptitude
percentage
0
votes
1
answer
55
NIELIT 2019 Feb Scientist C - Section D: 27
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 bangle each side of the square he found that $25$ bangles fall ... completing the square. The actual number of bangles which he had with him the shop was_________. $1690$ $999$ $538$ $1000$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
416
views
nielit2019feb-scientistc
quantitative-aptitude
geometry
0
votes
0
answers
56
NIELIT 2019 Feb Scientist C - Section D: 26
$A,B,C$ 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 walk,ride,drive a km in $a,b,c$ minutes respectively. If he starts ... $c+b-a$ hrs. The length of the triangle is: (assume the motion in anticlockwise direction) $60a$ $50a$ $40a$ $65a$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
418
views
nielit2019feb-scientistc
quantitative-aptitude
geometry
0
votes
0
answers
57
NIELIT 2019 Feb Scientist C - Section D: 25
If $x+y+z=2, \:\: xy+yz+zx=-1$ then the value of $x^{3}+y^{3}+z^{3}$ is: $20$ $16$ $8$ $0$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
412
views
nielit2019feb-scientistc
quantitative-aptitude
equations
0
votes
1
answer
58
NIELIT 2019 Feb Scientist C - Section D: 24
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 the empty space in the box is: $\dfrac{2500\pi}{3}$ cubic cm $500\pi$ cubic cm $2500\pi$ cubic cm $\dfrac{5000\pi}{3}$ cubic cm
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
527
views
nielit2019feb-scientistc
quantitative-aptitude
geometry
0
votes
1
answer
59
NIELIT 2019 Feb Scientist C - Section D: 30
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 given maximum number of books of only one subject of their interest and each student got equal number of books. Find the total number of students who got books. $14$ $10$ $12$ $15$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
743
views
nielit2019feb-scientistc
quantitative-aptitude
algebra
0
votes
2
answers
60
NIELIT 2019 Feb Scientist C - Section D: 29
If $(-4,0),(1,-1)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on: $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
362
views
nielit2019feb-scientistc
quantitative-aptitude
geometry
0
votes
1
answer
61
NIELIT 2019 Feb Scientist C - Section C: 3
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
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
559
views
nielit2019feb-scientistc
algebra
0
votes
1
answer
62
NIELIT 2019 Feb Scientist C - Section C: 1
If $\log _{e}x+\log _{e}(1+x)=0,$ then: $x^{2}+x-1=0$ $x^{2}+x+1=0$ $x^{2}+x-e=0$ $x^{2}+x+e=0$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
432
views
nielit2019feb-scientistc
logarithms
0
votes
1
answer
63
NIELIT 2019 Feb Scientist C - Section C: 2
If the ratio of the areas of two squares is $9:1$, the ratios of their perimeters is: $9:1$ $3:1$ $3:4$ $1:3$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
592
views
nielit2019feb-scientistc
ratio-proportion
2
votes
1
answer
64
NIELIT 2019 Feb Scientist C - Section C: 6
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 and English is: $5$ $10$ $15$ $20$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
668
views
nielit2019feb-scientistc
quantitative-aptitude
sets
0
votes
1
answer
65
NIELIT 2019 Feb Scientist C - Section C: 4
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) should he sell the T.V. set to earn a profit of $10\%$? $8,692$ $8,702$ $8,712$ $8,722$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
709
views
nielit2019feb-scientistc
quantitative-aptitude
profit-loss
0
votes
1
answer
66
NIELIT 2019 Feb Scientist C - Section C: 5
By which one of the following should we multiply $152207$ so that the product is $11111111$? $53$ $63$ $73$ $83$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
837
views
nielit2019feb-scientistc
quantitative-aptitude
number-systems
divisibility
0
votes
1
answer
67
NIELIT 2019 Feb Scientist C - Section C: 7
$A$ 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, $B$ invested for: $3$ months $4$ months $\dfrac{11}{3}$ months $6$ months
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
628
views
nielit2019feb-scientistc
ratio-proportion
0
votes
1
answer
68
NIELIT 2019 Feb Scientist C - Section C: 9
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 share of rent in $\text₹360$, the total rent of the field (in rupees) is: $1,500$ $1,600$ $1,625$ $1,650$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
523
views
nielit2019feb-scientistc
ratio-proportion
0
votes
1
answer
69
NIELIT 2019 Feb Scientist C - Section C: 11
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? $26.5\%$ $24\%$ $30\%$ $45\%$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
480
views
nielit2019feb-scientistc
geometry
0
votes
1
answer
70
NIELIT 2019 Feb Scientist C - Section C: 8
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 $9$ and $10$ seconds respectively. The length of the train(in metres) is: $45$ $54$ $50$ $72$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
468
views
nielit2019feb-scientistc
train
0
votes
1
answer
71
NIELIT 2019 Feb Scientist C - Section C: 10
A sum of money amounts to $₹6,690$ after $3$ years and to $₹10,035$ after $6$ years on compound interest. The sum is: $₹4,400$ $₹4,460$ $₹4,520$ $₹4,445$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
479
views
nielit2019feb-scientistc
compound-interest
2
votes
1
answer
72
NIELIT 2019 Feb Scientist C - Section C: 16
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 proportion of $\text{A}$ and $\text{B}$ becomes $7:9$. How many litres of liquid $\text{A}$ was contained by the can initially? $25$ $10$ $20$ $21$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
586
views
nielit2019feb-scientistc
quantitative-aptitude
alligation-mixture
1
vote
1
answer
73
NIELIT 2019 Feb Scientist C - Section C: 14
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 age is : $2$ years $3$ years $4$ years $5$ years
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
592
views
nielit2019feb-scientistc
ages
0
votes
1
answer
74
NIELIT 2019 Feb Scientist C - Section C: 13
$A$ 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 completes the task in the next $28$ days. Had $A$ been working alone, the number of days ... would have been: $\dfrac{379}{9} \\$ $\dfrac{840}{19} \\$ $\dfrac{520}{11} \\$ $\dfrac{590}{11}$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
509
views
nielit2019feb-scientistc
work-time
0
votes
1
answer
75
NIELIT 2019 Feb Scientist C - Section C: 15
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.? $₹8,000$ $₹10,000$ $₹12,000$ $₹16,000$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
482
views
nielit2019feb-scientistc
percentage
discount
0
votes
2
answers
76
NIELIT 2019 Feb Scientist C - Section C: 12
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 exists Only two such pairs exist Many such pairs exist No such pair exists
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
572
views
nielit2019feb-scientistc
lcm-hcf
0
votes
1
answer
77
NIELIT 2019 Feb Scientist C - Section C: 17
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 respectively. If the rate of simple interest is $5\%$ ... $\dfrac{1}{10} : \dfrac{1}{15}:\dfrac{1}{20}$ $\dfrac{1}{110}:\frac{1}{115}:\frac{1}{120}$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
464
views
nielit2019feb-scientistc
ratio-proportion
1
vote
2
answers
78
NIELIT 2019 Feb Scientist C - Section C: 19
If $a^{x}=b, b^{y}=c$ and $c^{z}=a$, then $xyz$ equals: $abc$ $\dfrac{1}{abc}$ $1$ None
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
571
views
nielit2019feb-scientistc
algebra
0
votes
2
answers
79
NIELIT 2019 Feb Scientist C - Section C: 18
On dividing $50$ into two parts such that the sum of their reciprocals is $\dfrac{1}{12}$, we get the parts as: $20,30$ $24,26$ $28,22$ $36,14$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
867
views
nielit2019feb-scientistc
divisibility
0
votes
0
answers
80
NIELIT 2019 Feb Scientist C - Section C: 20
$A$ 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. Counting, the rate of interest at $10\%$ per annum in this new mode of payment: There is no gain or loss to anyone $A$ gains $\text ₹7.34$ $A$ loses $\text ₹7.34$ $A$ gains $\text ₹11$
Lakshman Bhaiya
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Bhaiya
13.6k
points
570
views
nielit2019feb-scientistc
profit-loss
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