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1
Let $a_{1},a_{2}\dots$ be integers such that $a_{1}-a_{2}+a_{3}-a_{4}+\dots+(-1)^{n-1}a_{n}=n$, for all $n\geq 1$ Then $a_{51}+a_{52}+\dots+a_{1023}$ equals $-1$ $10$ $0$ $1$
answered 8 hours ago in Quantitative Aptitude Anam_ALP 642 points 2 2 5 75 views
1 vote
1 answer
2
The real root of the equation $2^{6x}+2^{3x+2}-21=0$ is $\frac{\log_{2}7}{3}$ $log_{2}9$ $\frac{\log_{2}3}{3}$ $log_{2}27$
answered 9 hours ago in Quantitative Aptitude Anam_ALP 642 points 2 2 5 103 views
1 vote
1 answer
3
Let $ABC$ be a right-angled triangle with hypotenuse $BC$ of length $20$ cm. If $AP$ is perpendicular on $BC$, then the maximum possible length of $AP$, in cm, is $10$ $6\sqrt{2}$ $8\sqrt{2}$ $5$
answered 10 hours ago in Quantitative Aptitude Anam_ALP 642 points 2 2 5 70 views
1 vote
1 answer
4
If $(2n+1)+(2n+3)+(2n+5)+\dots+(2n+47)=5280,$ then what is the value of $1+2+3+\dots+n$?______
answered 11 hours ago in Quantitative Aptitude Anam_ALP 642 points 2 2 5 89 views
1 vote
1 answer
5
Amal invests Rs $12000$ at $8$% interest, compounded annually, and Rs $10000$ at $6$% interest, compounded semi-annually, both investments being for one year. Bimal invests his money at $7.5$% simple interest for one year. If Amal and Bimal get the same amount of interest, then the amount, in Rupees, invested by Bimal is ______
answered 1 day ago in Quantitative Aptitude Anam_ALP 642 points 2 2 5 111 views
1 vote
1 answer
6
The number of common terms in the two sequences: $15, 19, 23, 27,\dots,415$ and $14, 19, 24, 29,\dots,464$ is $18$ $19$ $21$ $20$
answered 1 day ago in Quantitative Aptitude Anam_ALP 642 points 2 2 5 90 views
1 vote
1 answer
7
If $5^{x}-3^{y}=13438$ and $5^{x-1}+3^{y+1}=9686$, then $x+y$ equals_______
answered 1 day ago in Quantitative Aptitude Anam_ALP 642 points 2 2 5 138 views
1 vote
1 answer
8
A shopkeeper sells two tables, each procured at cost price p, to Amal and Asim at a profit of $20$% and at a loss of $20$%, respectively. Amal sells his table to Bimal at a profit of $30$%, while Asim sells his table to Barun at a loss of $30$%. If the amounts paid by Bimal and Barun are $x$ and $y$, respectively, then $(x −y) / p$ equals $0.7$ $1$ $1.2$ $0.50$
answered 1 day ago in Quantitative Aptitude Anam_ALP 642 points 2 2 5 105 views
1 vote
1 answer
9
John gets Rs $57$ per hour of regular work and Rs $114$ per hour of overtime work. He works altogether $172$ hours and his income from overtime hours is $15$%of his income from regular hours. Then, for how many hours did he work overtime?_______
answered 6 days ago in Quantitative Aptitude Anam_ALP 642 points 2 2 5 203 views
1 vote
1 answer
10
In $2010$, a library contained a total of $11500$ books in two categories -fiction and nonfiction. In $2015$, the library contained a total of $12760$ books in these two categories. During this period, there was $10$% increase in the fiction category while there was $12$% increase in the non-fiction category. How many fiction books were in the library in $2015$? $6000$ $6160$ $5500$ $6600$
answered 6 days ago in Quantitative Aptitude Anam_ALP 642 points 2 2 5 149 views
1 vote
1 answer
11
In an examination, the score of $A$ was $10$% less than that of $B$, the score of $B$ was $25$% more than that of $C$, and the score of $C$ was $20$% less than that of $D$. If $A$ scored $72$, then the score of $D$ was_____
answered Jul 22 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 169 views
2 votes
1 answer
12
Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related. A. All falcons fly high. B. All falcons are blind. C. All falcons are birds. D. All birds are yellow. E. All birds are thirsty. F. All falcons are yellow. ABC CDF DEF BCA
answered Jul 7 in Logical Reasoning prashant32535 18 points 1 1k views
1 vote
1 answer
13
The average of $30$ integers is $5$. Among these $30$ integers, there are exactly $20$ which do not exceed $5$. What is the highest possible value of the average of these $20$ integers? $4$ $3.5$ $4.5$ $5$
answered Jul 5 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 146 views
0 votes
1 answer
14
Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to- person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English, and only one Englishman knows French. what is the minimum number of phone calls needed for the above purpose? 5 10 9 15
answered Jun 22 in Quantitative Aptitude Amit puri 28 points 1 1 2 263 views
0 votes
1 answer
15
Anil alone can do a job in $20$ days while Sunil alone can do it in $40$ days. Anil starts the job, and after $3$ days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done $10$% of the job, then in how many days was the job done? $14$ $13$ $15$ $12$
answered Jun 19 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 250 views
0 votes
1 answer
16
Read the following information carefully and answer the question based on that. Two families are planning to go on a canoe trip together. The families consist of the following people: Robert and Mary Henderson and their three sons Tommy, Don and William, Jerome and Ellen Penick ... Penick parents do not ride together. The Henderson parents do not ride together. Only I Only II I and II I and III
answered Jun 14 in Logical Reasoning linkonsam76 18 points 1 460 views
1 vote
1 answer
17
Let $x$ and $y$ be positive real numbers such that $\log _{5}(x+y)+\log _{5}(x-y)=3$, and $\log _{2}y-\log _{2}x=1-log_{2}3$. Then xy equals $250$ $25$ $100$ $150$
answered Jun 1 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 156 views
1 vote
1 answer
18
If the population of a town is $p$ in the beginning of any year then it becomes $3+2p$ in the beginning of the next year. If the population in the beginning of $2019$ is $1000$, then the population in the beginning of $2034$ will be $(997)2^{14}+3$ $(1003)^{15}+6$ $(1003)2^{15}-3$ $(997)^{15}-3$
answered Jun 1 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 142 views
0 votes
1 answer
19
The line AB is $6$ metres in length and is tangent to the inner one of the two concentric circles at point C. It is known that the radii of the two circles are integers. The radius of the outer circle is $5$ metres $4$ metres $6$ metres $3$ metres
answered Jun 1 in Logical Reasoning Amit puri 28 points 1 1 2 325 views
1 vote
2 answers
20
Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is $5:6$ $4:5$ $3:4$ $2:3$
answered May 31 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 141 views
1 vote
1 answer
21
If $a_{1}+a_{2}+a_{3}+\dots+a_{n}=3(2^{n+1}-2)$, for every $n\geq 1$, then $a_{11}$ equals ____
answered May 31 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 97 views
1 vote
1 answer
22
The product of two positive numbers is $616$. If the ratio of the difference of their cubes to the cube of their difference is $157:3$, then the sum of the two numbers is $58$ $50$ $95$ $85$
answered May 31 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 175 views
0 votes
1 answer
23
The number of solutions to the equation $|x|(6x^{2}+1)=5x^{2}$ is _____.
answered May 31 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 102 views
0 votes
1 answer
24
Consider a function $f$ satisfying $f(x+y)=f(x)f(y)$ where $x,y$ are positive integers, and $f(1)=2$. If $f(a+1)+f(a+2)+\ldots +f(a+n)=16(2^{n}-1)$ then $a$ is equal to ______
answered May 31 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 87 views
0 votes
1 answer
25
A chemist mixes two liquids $1$ and $2$. One litre of liquid $1$ weighs $1$ kg and one litre of liquid $2$ weighs $800$ gm. If half litre of the mixture weighs $480$ gm, then the percentage of liquid $1$ in the mixture, in terms of volume, is $85$ $70$ $75$ $80$
answered May 31 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 118 views
1 vote
1 answer
26
In a circle of radius $11$ cm, CD is a diameter and AB is a chord of length $20.5$ cm. If AB and CD intersect at a point E inside the circle and CE has length $7$ cm, then the difference of the lengths of BE and AE, in cm, is $2.5$ $3.5$ $0.5$ $1.5$
answered May 31 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 103 views
0 votes
1 answer
27
Meena scores $40$% in an examination and after review, even though her score is increased by $50$%, she fails by $35$ marks. If her post-review score is increased by $20$%, she will have $7$ marks more than the passing score. The percentage score needed for passing the examination is $70$ $60$ $75$ $80$
answered May 31 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 170 views
0 votes
1 answer
28
The wheel of bicycles $A$ and $B$ have radii $30$ cm and $40$ cm, respectively. While traveling a certain distance, each wheel of $A$ required $5000$ more revolutions than each wheel of $B$. If bicycle $B$ traveled this distance in $45$ minutes, then its speed, in km per hour, was $18\pi$ $12\pi$ $16\pi$ $14\pi$
answered May 31 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 114 views
0 votes
1 answer
29
In a race of three horses, the first beat the second by $11$ metres and the third by $90$ metres. If the second beat the third by $80$ metres, what was the length, in metres,of the racecourse? ____
answered May 31 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 98 views
0 votes
1 answer
30
For any positive integer $n$, let $f(n)=n(n+1)$ if n is even, and $f(n)=n+3$ if n is odd. if $m$ is a positive integer such that $8f(m+1)-f(m)=2$, then $m$ equals____
answered May 31 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 108 views
0 votes
1 answer
31
The age of a son, who is more than two years old, is equal to the units digit of the age of his father. After ten years, the age of the father will be thrice the age of the son. What is the sum of the present ages of the son and the father? $30$ years $36$ years $40$ years Cannot be determined
answered May 30 in Quantitative Aptitude Xavier 18 points 1 122 views
1 vote
1 answer
32
If $a_{1},a_{2}\dots$ are in A.P., then, $\frac{1}{\sqrt{a_{1}}+\sqrt{a_{2}}}+\frac{1}{\sqrt{a_{2}}+\sqrt{a_{3}}}+\dots+\frac{1}{\sqrt{a_{n}}+\sqrt{a_{n+1}}}$ is equal to $\frac{n-1}{\sqrt{a_{1}}+\sqrt{a_{n-1}}}$ $\frac{n}{\sqrt{a_{1}}+\sqrt{a_{n+1}}}$ $\frac{n-1}{\sqrt{a_{1}}+\sqrt{a_{n}}}$ $\frac{n}{\sqrt{a_{1}}-\sqrt{a_{n+1}}}$
answered May 28 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 137 views
0 votes
1 answer
33
A person invested a total amount of Rs $15$ lakh. A part of it was invested in a fixed deposit earning $6$% annual interest, and the remaining amount was invested in two other deposits in the ratio $2:1$, earning annual interest at the rates of $4$% and $3$%, respectively. If the total annual interest income is Rs $76000$ then the amount (in Rs lakh) invested in the fixed deposit was___
answered May 28 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 111 views
0 votes
1 answer
34
$AB$ is a diameter of a circle of radius $5$ cm. Let $P$ and $Q$ be two points on the circle so that the length of $PB$ is $6$ cm, and the length of $AP$ is twice that of $AQ$. Then the length, in cm, of $QB$ is nearest to $7.8$ $8.5$ $9.1$ $9.3$
answered May 28 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 90 views
1 vote
1 answer
35
Two cars travel the same distance starting at $10:00$ am and $11:00$ am, respectively, on the same day. They reach their common destination at the same point of time. If the first car traveled for at least $6$ hours, then the highest possible value of the percentage by which the speed of the second car could exceed that of the first car is $30$ $25$ $10$ $20$
answered May 28 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 116 views
2 votes
1 answer
36
If $m$ and $n$ are integers such that $(\sqrt{2})^{19}3^{4}4^{2}9^{m}8^{n}=3^{n}16^{m}(\sqrt[4]{64})$ then $m$ is $-20$ $-12$ $-24$ $-16$
answered May 26 in Quantitative Aptitude Anam_ALP 642 points 2 2 5 176 views
1 vote
1 answer
37
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 : $3$ $-1$ $-2$ $0$
answered May 25 in Quantitative Aptitude Nikhil_dhama 518 points 1 2 12 124 views
0 votes
1 answer
38
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 : $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
answered May 25 in Quantitative Aptitude Nikhil_dhama 518 points 1 2 12 115 views
0 votes
1 answer
39
0 votes
1 answer
40
Advanced LIGO recently observed the Black Hole activity Gravitational waves UFO Sun Temperature
answered May 25 in General Awareness Nikhil_dhama 518 points 1 2 12 105 views
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