# Recent questions tagged quantitative-aptitude

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For any natural numbers $\mathrm{m}, \mathrm{n}$, and $\mathrm{k}$, such that $\mathrm{k}$ divides both $m+2 n$ and $3 m+4 n \mathrm{k}$ must be a common divisor of$m$ an...
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If $x$ and $y$ are real numbers such that $x^{2}+(x-2 y-1)^{2}=-4 y(x+y)$, then the value $x-2 y$ is$1$$2$$-1$$0 0 answers 3 If \sqrt{5 x+9}+\sqrt{5 x-9}=3(2+\sqrt{2}), then \sqrt{10 x+9} is equal to3 \sqrt{7}$$4 \sqrt{5}$$3 \sqrt{31}$$2 \sqrt{7}$
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If $x$ and $y$ are positive real numbers such that $\log _{x}\left(x^{2}+12\right)=4$ and $3 \log _{y} x=1$, then $x+y$ equals$11$$20$$10$$68 0 answers 5 The number of integer solutions of equation 2|x|\left(x^{2}+1\right)=5 x^{2} is 0 answers 6 Let \alpha and \beta be the two distinct roots of the equation 2 x^{2}-6 x+k=0, such that (\alpha+\beta) and \alpha \beta are the distinct roots of the equation... 0 answers 7 In an examination, the average marks of 4 girls and 6 boys is 24. Each of the girls has the same marks while each of the boys has the same marks. If the marks of an... 0 answers 8 The minor angle between the hours hand and minutes hand of a clock was observed at 8:48 am. The minimum duration, in minutes, after 8.48 am when this angle increases ... 1 answer 9 A container has 20 L of milk. 4 L of milk is replaced with an equal quantity of water. What was will be the final quantity of milk in the container if the process is repe... 1 answer 10 If c=\dfrac{16 x}{y}+\dfrac{49 y}{x} for some non-zero real numbers x and y, then c cannot take the value-60 -50 60 -70 1 answer 11 A group of \mathrm{N} people worked on a project. They finished 35 \% of the project by working 7 hours a day for 10 days. Thereafter, 10 people left the group ... 1 answer 12 Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio 5: 8: 10. They accept a job which they can finish in 4 days if they all work... 0 answers 13 Mr. Pinto invests one-fifth of his capital at 6 \%, one-third at 10 \% and the remaining at 1 \%, each rate being simple interest per annum. Then, the minimum numbe... 0 answers 14 Regular polygons \mathrm{A} and \mathrm{B} have number of sides in the ratio 1: 2 and interior angles in the ratio 3: 4. Then the number of sides of \mathrm{B} ... 0 answers 15 The number of distinct integer values of n satisfying \frac{4-\log 2 n}{3-\log _{4} n}<0, is 0 answers 16 The average of a non-decreasing sequence of \mathrm{N} numbers a_{1}, a_{2}, \ldots \ldots, a_{N} is 300 . If a_{1} is replaced by 6 a_{1}, the new average beco... 0 answers 17 If a and b are non-negative real numbers such that a+2 b=6, then the average of the maximum and minimum possible values of (a+b) is3.5$$4.5$$3$$4$
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The length of each side of an equilateral triangle $\mathrm{A B C}$ is $3 \mathrm{~cm}$. Let $\mathrm{D}$ be a point on $\mathrm{B C}$ such that the area of triangle $\ma... 0 answers 19 The number of integers greater than$2000$that can be formed with the digits$0,1,2,3,4,5$, using each digit at most once, is$1480$$1440$$1200$$1420 0 answers 20 Let f(x) be a quadratic polynomial in x such that f(x) \geq 0 for all real numbers x. If f(2)=0 and f(4)=6, then f(-2) is equal to36$$12$$24$$6$0 answers 21 Manu earns ₹$4000$per month and wants to save an average of ₹$550$per month in a year. In the first nine months, his monthly expense was ₹$3500$, and he foresees ... 0 answers 22 In an election, there were four candidates and$80 \%$of the registered voters casted their votes. One of the candidates received$30 \%$of the casted votes while the o... 0 answers 23 On day one, there are$100$particles in a laboratory experiment. On day$n$, where$n \geq 2$, one out of every$n$particles produces another particle. If the total num... 1 answer 24 There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first co... 0 answers 25 Five students, including Amit, appear for an examination in which possible marks are integers between$0$and$50$, both inclusive. The average marks for all the student... 0 answers 26 Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are$60 \mathrm{~km}$apar... 0 answers 27 For some natural number$n$, assume that$(15,000) !$is divisible by$(n !) !$. The largest possible value of$n$is$5$$4$$6$$7 0 answers 28 Suppose for all integers x, there are two functions f and g such that f(x)+ f(x-1)-1=0 and g(x)=x^{2}. If f\left(x^{2}-x\right)=5, then the value of the sum... 0 answers 29 In triangle \mathrm{A B C}, altitudes \mathrm{A D} and \mathrm{B E} are drawn to the corresponding bases. If \angle \mathrm{B A C}=45^{\circ} and \angle \mathrm{... 0 answers 30 The number of integer solutions of the equation \left(x^{2}-10\right)^{\left(x^{2}-3 x-10\right)}=1 is 0 answers 31 Let r and c be real numbers. If r and -r are roots of 5 x^{3}+c x^{2}-10 x+9=0, then c equals4$$-4$$-\frac{9}{2}$$\frac{9}{2}$0 answers 32 Consider the arithmetic progression$3,7,11, \ldots$and let$A_{n}$denote the sum of the first$\mathrm{n}$terms of this progression. Then the value of$1^{25}, A$is$...
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In an examination, there were $75$ questions. $3$ marks were awarded for each correct answer, $1$ mark was deducted for each wrong answer and $1$ mark was awarded for eac...
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Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the q...
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The largest real value of $a$ for which the equation $|x+a|+|x-1|=2$ has an infinite number of solutions for $x$ is$2$$-1$$0$$1$
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The average of three integers is $13$. When a natural number $n$ is included, the average of these four integers remains an odd integer. The minimum possible value of $n$...
Let $A$ be the largest positive integer that divides all the numbers of the form $3^{k}+4^{k}+5^{k}$, and $B$ be the largest positive integer that divides all the numbers...
In a village, the ratio of number of males to females is $5: 4$. The ratio of number of literate males to literate females is $2: 3$. The ratio of the number of illiterat...
Let $\text{A B C D}$ be a parallelogram such that the coordinates of its three vertices $\text{A, B, C}$ are $(1,1),(3,4)$ and $(-2,8)$, respectively. Then, the coordinat...
Alex invested his savings in two parts. The simple interest earned on the first part at $15 \%$ per annum for 4 years is the same as the simple interest earned on the sec...