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Recent questions tagged quantitative-aptitude

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41
The image of the point $\left (3, 8 \right)$ in the line $x+3y=7$ is : $\left (1, 4 \right)$ $\left (4, 1 \right)$ $\left (-1, -4 \right)$ $\left (-4, -1 \right)$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 58 views
0 votes
1 answer
42
$\left [\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{4}{1+x^{4}}+\frac{8}{1+x^{8}} \right ]$ equal to : $1$ $0$ $\frac{8}{1-x^{8}}$ $\frac{16}{1-x^{16}}$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 82 views
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1 answer
43
If $5$ spiders can catch $5$ files in $5$ minutes. How many files can $100$ spiders catch in $100$ minutes : $100$ $1000$ $500$ $2000$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 109 views
2 votes
1 answer
44
Find the value of $x$ satisfying : $\log_{10} \left (2^{x}+x-41 \right)=x \left (1-\log_{10}5 \right)$ $40$ $41$ $-41$ $0$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 91 views
0 votes
1 answer
45
The minute hand is $10$ cm long. Find the area of the face of the clock described by the minute hand between $9$ a.m and $9:35$ a.m. ${183.3\ cm^{2}}$ ${366.6\ cm^{2}}$ ${244.4\ cm^{2}}$ ${188.39\ cm^{2}}$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 121 views
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1 answer
46
The line $x+y=4$ divides the line joining $\text{(-1,1) & (5,7)}$ in the ratio $\lambda : 1$ then the value of $\lambda$ is: $2$ $3$ $\dfrac{1}{2}$ $1$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 97 views
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47
Determine $a+b$ such that the following system of equations: $2x-(a-4)y=2b+1 \text{ and }4x-(a-1)y=5b-1$ infinite solutions. $11$ $9$ $10$ $8$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 62 views
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48
Which of the following statement is false? ... Statement(iii) Statement(ii) Statement(iv) Statement(i)
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 93 views
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49
The value of $\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+ \dots \dots \dots+\dfrac{1}{90}$ is: $\dfrac{1}{5}\\$ $\dfrac{2}{5} \\$ $\dfrac{3}{5} \\$ $1$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 79 views
1 vote
1 answer
50
If $\theta$ is an acute angle and $\tan\theta+\cot\theta =2$, Find the value of $\tan ^{7}\theta +\cot ^{7}\theta$. $-2$ $1$ $2$ $0$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 125 views
1 vote
0 answers
51
In a triangle $XYZ$, $P$ and $Q$ are points on ${XY,XZ}$ respectively such that $XP=2PY$, $XQ=2QZ$, then the ratio, of area of $\triangle XPQ$ and area of $\triangle XYZ$ is: $4:9$ $2:3$ $3:2$ $9:4$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 89 views
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52
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: $19$ $17$ $15$ $21$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 88 views
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53
sum of roots of the equation $\dfrac{3x^{3}-x^{2}+x-1}{3x^{3}-x^{2}-x+1}=\dfrac{4x^{3}-7x^{2}+x+1}{4x^{3}+7x^{2}-x-1}$ is : $0$ $1$ $-1$ $2$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 71 views
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54
Let $(x_{1},4),(-2,y_{1})$ lies on the line joining the points $(2,-1),(5,-3)$ then the point $P(x_{1},y_{1})$ lies on the line: $6(x+y)-25=0$ $2x+6y+1=0$ $2x+3y-6=0$ $6(x+y)+25=0$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 80 views
0 votes
1 answer
55
The expressions $\dfrac{\tan A}{1-\cot A}+\dfrac{\cot A}{1-\tan A}$ can be written as: $\sin A \ \cos A+1$ $\sec A \ cosec A+1$ $\tan A+ \cot A+1$ $\sec A +cosec A$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 103 views
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56
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. $\dfrac{(58x-39)}{45} \\$ $\dfrac{(98x-39)}{72} \\$ $\dfrac{(116x-39)}{90} \\$ $\dfrac{(98x-39)}{90}$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 48 views
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57
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
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 71 views
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1 answer
58
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
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 123 views
1 vote
1 answer
59
If $cosec\theta-\sin\theta=1$ and $\sec\theta-\cos\theta=m$, then $l^{2}m^{2}(l^{2}+m^{2}+3)$ equals to: $1$ $2$ $2 \sin\theta$ $\sin\theta \cos\theta$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 102 views
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60
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{32}+\sqrt{11}}{16}\bigg ) c $ $\bigg (\dfrac{\sqrt{33}+\sqrt{10}}{4} \bigg ) c^{2}$ $\bigg( \dfrac{\sqrt{33}+\sqrt{21}}{4} \bigg) c^{3}$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 64 views
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61
If $8v-3u=5uv \: \: \& \: \: 6v-5u=-2uv$ then $31u+46v$ is: $44$ $42$ $33$ $55$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 54 views
1 vote
1 answer
62
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: $0$ $1$ $2$ $3$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 96 views
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63
$₹6500/-$ were divided among a certain number of persons. If there had been $15$ more persons, each would have got $₹30/-$ less. Find the original number of persons. $50$ $60$ $45$ $55$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 96 views
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64
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? $156$ $312$ $78$ $288$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 68 views
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65
Find the number of numbers between $300$ to $400$ (both included) that are not divisible by $2,3,4$ and $5$ $50$ $33$ $26$ $17$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 61 views
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66
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 $S_1+S_2+S_3+\dots \dots +S_m$ is : $\dfrac{mn(m+1)}{2} \\$ $\dfrac{mn(2m+1)}{3} \\$ $\dfrac{mn[3(m+1)+1]}{6} \\$ $\dfrac{mn(m+1)(4m+3n-1)}{12}$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 60 views
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1 answer
67
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: $\dfrac{1-p^{2}}{200}\\$ $\dfrac{\sqrt{1-p^{2}}}{100} \\$ $1-\dfrac{p^{2}}{10,000-p^{2}} \\$ $\dfrac{10,000}{10,000-p^{2}}$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 91 views
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68
If $x+y+z=2, \:\: xy+yz+zx=-1$ then the value of $x^{3}+y^{3}+z^{3}$ is: $20$ $16$ $8$ $0$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 75 views
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69
$A,B,C$ 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 from $B$, he takes $a-b+c$ ... from $A$ he takes $c+b-a$ hrs. The length of the triangle is: (assume the motion in anticlockwise direction) $60a$ $50a$ $40a$ $65a$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 59 views
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70
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
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 87 views
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71
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 short of in completing the square. The actual number of bangles which he had with him the shop was_________. $1690$ $999$ $538$ $1000$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 58 views
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1 answer
72
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. $14$ $10$ $12$ $15$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 146 views
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1 answer
73
If $(-4,0),(1,-1)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on: $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 76 views
1 vote
1 answer
74
Aamir and Birju can cut $5000\;\text{g}$ of wood in $20$ min. Birju and Charles can cut $5000\;\text{g}$ of wood in $40$ min. Charles and Aamir cut $5\;\text{kg}$ of wood in $30$ min. How much time Charles will take to cut $5\;\text{kg}$ wood alone? $120$ min $48$ min $240$ min $120/7$ min
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 263 views
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1 answer
75
An alloy contains copper and zinc in the ratio $5:3$ and another contains copper and tin in the ratio $8:5.$ If equal weights of the two are melted together to form a $3^{rd}$ alloy, find the weight of tin per kg in the new alloy. $40/129$ $5/13$ $5/26$ $28/5$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 231 views
1 vote
1 answer
76
The difference between the compound interest and the simple interest earned at the end of $3^{rd}$ year on a sum of money at a rate of $10\%$ per annum is Rs. $77.5.$ What is the sum? Rs. $3,500$ Rs. $2,500$ Rs. $3,000$ Rs. $2,000$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 263 views
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1 answer
77
$x$ is a whole number. If the only common factors of $x$ and $x2$ are $1$ and $x,$ then $x$ is ________. $1$ a perfect square an odd number a prime number
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 169 views
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1 answer
78
Line $AB$ is $24$ metres in length and is tangent to the inner one of the two concentric circles at point $C.$ Points $A$ and $B$ lie on the circumference of the outer circle. It is known that the radii of the two circles are integers. The radius of the outer circle is $13$ m $5$ m $7$ m $4$ m
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 196 views
1 vote
1 answer
79
Assume that a sum of money is divided equally among $n$ girls. Each girl will receive $\$60.$ If another girl is added to the group and the sum is divided equally among all the girls, each child girl gets a $\$50$ share. What is the sum of money? $\$3000$ $\$300$ $\$110$ $\$10$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 161 views
0 votes
1 answer
80
A $300$ metre long metro train crosses a platform in a metro station in $39$ seconds while it crosses a lamp post in $18$ seconds. What is the length of the platform? $250$ metre $350$ metre $520$ metre $300$ metre
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 31 523 813 131 views
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