# Recent questions tagged quantitative-aptitude

41
The average weight of students in a class increases by $600 \mathrm{gm}$ when some new students join the class. If the average weight of the new students is $3 \mathrm{~k... 0 answers 42 A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio$1: 3$, then the ratio... 0 answers 43 Amal buys$110 \mathrm{~kg}$of syrup and$120 \mathrm{~kg}$of juice, syrup being$20 \%$less costly than juice, per kg. He sells$10 \mathrm{~kg}$of syrup at$10 \%$... 0 answers 44$\mathrm{A}$trapezium$\mathrm{ABCD}$has side$\mathrm{AD}$parallel to$\mathrm{BC}, \angle \mathrm{BAD}=90^{\circ}, \mathrm{BC}=3 \mathrm{~cm}$and$\mathrm{AD}=8 \ma...
45
All the vertices of a rectangle lie on a circle of radius $R$. If the perimeter of the rectangle is $P$, then the area of the rectangle is$\frac{P^{2}}{16}-R^{2}$$\frac{P... 0 answers 46 Let a, b, c be non-zero real numbers such that b^{2}<4 a c, and f(x)=a x^{2}+b x+c. If the set S consists of all integers m such that f(m)<0, then the set S... 1 answer 47 Let a and b be natural numbers. If a^{2}+a b+a=14 and b^{2}+a b+b=28, then (2 a+b) equals8$$9$$7$$10$
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In a class of $100$ students, $73$ like coffee, $80$ like tea and $52$ like lemonade. It may be possible that some students do not like any of these three drinks. Then th...
49
Trains $\text{A}$ and $\text{B}$ start traveling at the same time towards each other with constant speeds from stations $\text{X}$ and $\text{Y}$, respectively. Train $\t... 0 answers 50 Ankita buys$4 \mathrm{~kg}$cashews,$14 \mathrm{~kg}$peanuts and$6 \mathrm{~kg}$almonds when the cost of$7 \mathrm{~kg}$cashews is the same as that of$30 \mathrm{...
51
For natural numbers $x, y$, and $z$, if $x y+y z=19$ and $y z+x z=51$, then the minimum possible value of $x y z$ is
52
Let $0 \leq a \leq x \leq 100$ and $f(x)=|x-a|+|x-100|+|x-a-50|$. Then the maximum value of $f(x)$ becomes $100$ when $a$ is equal to$0$$25$$100$$50 0 answers 53 For any real number x, let [x] be the largest integer less than or equal to x. If \sum_{n=1}^{N}\left[\frac{1}{5}+\frac{n}{25}\right]=25 then N is 0 answers 54 For any natural number n, suppose the sum of the first n terms of an arithmetic progression is \left(n+2 n^{2}\right). If the n^{\text {th }} term of the progress... 0 answers 55 The number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons but no child gets an odd number of balloons, is 0 answers 56 Direction for questions: Answer the questions based on the following information. A series S_{1} of five positive integers is such that the third term is half the first... 0 answers 57 Direction for questions: Answer the questions based on the following information. A series S_{1} of five positive integers is such that the third term is half the first... 0 answers 58 Direction for questions: Answer the questions based on the following information. A series S_{1} of five positive integers is such that the third term is half the first... 2 answers 59 A survey is conducted among 275 families. 100 families among them use air condition (A.C.) 70 families use only coolers, 60 families use only AC and 80 families... 0 answers 60 A survey is conducted among 106 people. Among them 47 people have dogs, 58 people have cats and 38 people have parrots. 16 people have both a dog and cat, 15 ... 0 answers 61 A survey is conducted among 106 people. Among them 47 people have dogs, 58 people have cats and 38 people have parrots. 16 people have both a dog and cat, 15 ... 0 answers 62 Answer the following questions based on the information given below.The petrol consumption rate of a new model car 'Palto' depends on its speed and may be described by th... 0 answers 63 The batting average \text{(BA)} of a test batsman is computed from runs scored and innings played-completed innings and incomplete innings (not out) in the following ma... 1 answer 64 Consider a cylinder of height h cms and radius r=\frac{2}{\pi} cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylind... 0 answers 65 Consider a cylinder of height h cms and radius r=\frac{2}{\pi} cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylind... 0 answers 66 Answer the questions on the basis of the information given below:In an examination, there are 100 questions divided into three groups A, B and C such that each group co... 0 answers 67 Answer the questions on the basis of the information given below:f_{1}(x) = \left\{\begin{matrix} x & 0 \leq x \leq 1 \\ 1 & x \geq 1 \\ 0 & \text{otherwise} \end{matri... 1 answer 68 Consider a sequence of real numbers x_{1}, x_{2}, x_{3}, \dots such that x_{n+1} = x_{n} + n – 1 for all n \geq 1. If x_{1} = -1 then x_{100} is equal to 4... 1 answer 69 Anil can paint a house in 12 \; \text{days} while Barun can paint it in 16 \; \text{days}. Anil, Barun, and Chandu undertake to paint the house for ₹ \; 24000 an... 1 answer 70 For a real number a, if \dfrac{\log_{15}a + \log_{32}a}{(\log_{15}a)(\log_{32}a)} = 4 then a must lie in the rangea>5$$3<a<4$$4<a<5$$2<a<3$
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In a triangle $\text{ABC}, \angle \text{BCA} = 50^{\circ}. \text{D}$ and $\text{E}$ are points on $\text{AB}$ and $\text{AC},$ respectively, such that $\text{AD = DE}.$ I...
72
Bank $\text{A}$ offers $6 \%$ interest rate per annum compounded half yearly. Bank $\text{B}$ and Bank $\text{C}$ offer simple interest but the annual interest rate offer...
73
Let $\text{ABCD}$ be a parallelogram. The lengths of the side $\text{AD}$ and the diagonal $\text{AC}$ are $10 \; \text{cm}$ and $20 \; \text{cm},$ respectively. If the a...
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A shop owner bought a total of $64$ shirts from a wholesale market that came in two sizes, small and large. The price of a small shirt was $\text{INR} \; 50$ less than th...
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The arithmetic mean of scores of $25$ students in an examination is $50.$ Five of these students top the examination with the same score. If the scores of the other stude...
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Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in $45 \; \text{minutes},$ Amal complet...
The number of distinct pairs of integers $(m,n)$ satisfying $|1 + mn| < |m + n| < 5$ is
The cost of fencing a rectangular plot is $\text{₹} \; 200 \; \text{per ft}$ along one side, and $\text{₹} \; 100 \; \text{per ft}$ along the three other sides. If ...
If $f(x) = x^{2} – 7x$ and $g(x) = x + 3,$ then the minimum value of $f(g(x)) – 3x$ is$-16$$-15$$ -20$$-12$
A four-digit number is formed by using only the digits $1, 2$ and $3$ such that both $2$ and $3$ appear at least once. The number of all such four-digit numbers is