# Recent questions tagged quantitative-aptitude

81
If a certain weight of an alloy of silver and copper is mixed with $3 \; \text{kg}$ of pure silver, the resulting alloy will have $90 \%$ silver by weight. If the same we...
82
One day, Rahul started a work at $9 \; \text{AM}$ and Gautam joined him two hours later. They then worked together and completed the work at $5 \; \text{PM}$ the same day...
83
A park is shaped like a rhombus and has area $96 \; \text{sq m}.$ If $40 \; \text{m}$ of fencing is needed to enclose the park, the cost, in $\text{INR},$ of laying elect...
84
The total of male and female populations in a city increased by $25 \%$ from $1970$ to $1980.$ During the same period, the male population increased by $40 \%$ while the ...
85
If $n$ is a positive integer such that $( \sqrt[7]{10}) ( \sqrt[7]{10})^{2} \dots ( \sqrt[7]{10})^{n} 999,$ then the smallest value of $n$ is
86
If $3x + 2|y| + y = 7$ and $x + |x| + 3y = 1,$ then $x + 2y$ is$\frac{8}{3}$$1$$ – \frac{4}{3}$$0 1 answer 87 A tea shop offers tea in cups of three different sizes. The product of the prices, in \text{INR}, of three different sizes is equal to 800. The prices of the smallest... 0 answers 88 One part of a hostel’s monthly expenses is fixed, and the other part is proportional to the number of its boarders. The hostel collects ₹ \; 1600 per month from ea... 1 answer 89 In a tournament, a team has played 40 matches so far and won 30 \% of them. If they win 60 \% of the remaining matches, their overall win percentage will be 50 \%.... 1 answer 90 Consider the pair of equations: x^{2} – xy – x = 22 and y^{2} – xy + y = 34. If x>y, then x – y equals7$$8$$6$$4$
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Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil’s share of investment is $70 \%.$ His...
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If a rhombus has area $12 \; \text{sq cm}$ and side length $5 \; \text{cm},$ then the length, $\text{in cm},$ of its longer diagonal is$\sqrt{13} + \sqrt{12}$$\sqrt{37} +... 1 answer 93 The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four ba... 1 answer 94 For a sequence of real numbers x_{1}, x_{2}, \dots , x_{n}, if x_{1} – x_{2} + x_{3} – \dots + (-1)^{n+1} x_{n} = n^{2} + 2n for all natural numbers n, then the... 1 answer 95 For a real number x the condition |3x – 20| + |3x – 40| = 20 necessarily holds if9 < x < 14$$6 < x < 11$$7 < x < 12$$10 < x < 15$
96
A box has $450$ balls, each either white or black, there being as many metallic white balls as metallic black balls. If $40 \%$ of the white balls and $50 \%$ of the blac...
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The sides $\text{AB}$ and $\text{CD}$ of a trapezium $\text{ABCD}$ are parallel, with $\text{AB}$ being the smaller side. $\text{P}$ is the midpoint of $\text{CD}$ and $\... 1 answer 98 Raj invested ₹$10000$in a fund. At the end of first year, he incurred a loss but his balance was more than ₹$5000.$This balance, when invested for another year, gre... 1 answer 99 Three positive integers$x,y$and$z$are in arithmetic progression. If$y – x 2$and$xyz = 5(x+y+z),$then$z-x$equals$12$$8$$14$$10 1 answer 100 In a football tournament, a player has played a certain number of matches and 10 more matches are to be played. If he scores a total of one goal over the next 10 matc... 1 answer 101 For all possible integers n satisfying 2.25 \leq 2 + 2^{n+2} \leq 202, the number of integer values of 3 + 3^{n+1} is 1 answer 102 Anil can paint a house in 60 \; \text{days} while Bimal can paint it in 84 \; \text{days}. Anil starts painting and after 10 \; \text{days}, Bimal and Charu join hi... 1 answer 103 Let \text{D} and \text{E} be points on sides \text{AB} and \text{AC}, respectively, of a triangle \text{ABC}, such that \text{AD} : \text{BD} = 2 : 1 and ... 1 answer 104 For all real values of x, the range of the function f(x) = \dfrac{x^{2} + 2x + 4}{2x^{2} + 4x + 9} is \left(\frac{3}{7}, \frac{1}{2} \right)$$ \left[\frac{3}{7}, \fr...
105
Suppose one of the roots of the equation $ax^{2} – bx + c = 0$ is $2 + \sqrt{3},$ where $a, b$ and $c$ are rational numbers and $a \neq 0.$ If $b = c^{3}$ then $|a|$ eq...
106
Two trains $\text{A}$ and $\text{B}$ were moving in opposite directions, their speeds being in the ratio $5:3.$ The front end of $\text{A}$ crossed the rear end of $\text... 1 answer 107 If$\log_{2} [3+ \log_{3} \{ 4+ \log_{4} (x-1) \}] – 2 = 0$then$4x$equals 1 answer 108 Two pipes$\text{A}$and$\text{B}$are attached to an empty water tank. Pipe$\text{A}$fills the tank while pipe$\text{B}$drains it. If pipe$\text{A}$is opened at$...
109
From a container filled with milk, $9 \; \text{litres}$ of milk are drawn and replaced with water. Next, from the same container, $9 \; \text{litres}$ are drawn and again...
For a $4$-digit number, the sum of its digits in the thousands, hundreds and tens places is $14,$ the sum of its digits in the hundreds, tens and units places is $15,$ an...
How many three-digit numbers are greater than $100$ and increase by $198$ when the three digits are arranged in the reverse order?
A basket of $2$ apples, $4$ oranges and $6$ mangoes costs the same as a basket of $1$ apple, $4$ oranges and $8$ mangoes, or a basket of $8$ oranges and $7$ mangoes. Then...
The natural numbers are divided into groups as $(1), (2,3,4), (5,6,7,8,9), \dots$ and so on. Then, the sum of the numbers in the $15 \text{th}$ group is equal to $6090$$... 1 answer 114 Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in 1 \; \text{year}, Akbar and Anthony can complete in 16 m... 1 answer 115 Anu, Vinu and Manu can complete a work alone in 15 \; \text{days}, 12 \; \text{days} and 20 \; \text{days}, respectively. Vinu works everyday. Anu works only on alter... 1 answer 116 The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 \; \text{days}.The amount Sita and Neeta together earn in a day equals what Geeta al... 1 answer 117 If the area of a regular hexagon is equal to the area of an equilateral triangle of side 12 \; \text{cm}, then the length, in cm, of each side of the hexagon is 6 \sqr... 1 answer 118 f(x) = \dfrac{x^{2} + 2x – 15}{x^{2} – 7x – 18} is negative if and only if – 2 < x < 3 \; \text{or} \; x 9$$ x < – 5 \; \text{or} \; 3 < x < 9$$– 5 < x... 1 answer 119 Amal purchases some pens at$₹ \; 8$each. To sell these, he hires an employee at a fixed wage. He sells$100$of these pens at$₹ \; 12$each. If the remaining pens ... 1 answer 120 The number of groups of three or more distinct numbers that can be chosen from$1, 2, 3, 4, 5, 6, 7,$and$8$so that the groups always include$3$and$5,$while$7\$ and...