Recent questions tagged quantitative-aptitude

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The strength of an indigo solution in percentage is equal to the amount of indigo in grams per $100 \; \text{cc}$ of water. Two $800 \; \text{cc}$ bottles are filled with...
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Suppose the length of each side of a regular hexagon $\text{ABCDEF}$ is $2 \; \text{cm}.$ It $\text{T}$ is the mid point of $\text{CD},$ then the length of $\text{AT, in ... 1 answer 123 If$r$is a constant such that$|x^{2} – 4x -13| = r$has exactly three distinct real roots, then the value of$r$is$15$$18$$17$$21 1 answer 124 If x_{0} = 1, x_{1} = 2 and x_{n+2} = \dfrac{1 + x_{n+1}}{x_{n}}, n = 0, 1, 2, 3, \dots , then x_{2021} is equal to1$$3$$4$$2$1 answer 125 If$5 – \log_{10} \sqrt{1+x} + 4 \log_{10} \sqrt{1-x} = \log_{10} \frac{1}{\sqrt{1-x^{2}}},$then$100x$equals 1 answer 126 Suppose hospital$\text{A}$admitted$21$less Covid infected patients than hospital$\text{B},$and all eventually recovered. The sum of recovery days for patients in ho... 0 answers 127 The number of integers$n$that satisfy the inequalities$ |n – 60| < |n – 100| < |n – 20|$is$18$$19$$21$$20 1 answer 128 Two trains cross each other in 14 \; \text{seconds} when running in opposite directions along parallel tracks. The faster train is 160 \; \text{m} long and crosses a ... 1 answer 129 Anil invests some money at a fixed rate of interest, compounded annually. If the interests accrued during the second and third year are ₹ 806.25 and ₹ 866.72, res... 1 answer 130 A circle of diameter 8 \; \text{inches} is inscribed in a triangle \text{ABC} where \angle \text{ABC} = 90^{\circ}. If \text{BC} = 10 \; \text{inches} then the ar... 1 answer 131 Onion is sold for 5 consecutive months at the rate of \text{Rs}\; 10, 20, 25, 25, and 50 \; \text{per kg}, respectively. A family spends a fixed amount of money on ... 1 answer 132 Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price \text{per gr... 1 answer 133 If \log_{a} 30 = \text{A}, \log_{a} (5/3) = – \text{B}  and \log_{2} a = 1/3, then \log_{3}a  equals \dfrac{2}{\text{A + B}} \;– 3   \dfrac{\text{A + B} - 3}... 3 answers 134 Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick’s age is 1 year less than the average age of all three, then Harry’s age, in years, is 1 answer 135 \text{A} and \text{B} are two railway stations 90 \; \text{km} apart. A train leaves \text{A} at 9:00 \; \text{am}, heading towards \text{B} at a speed of 40... 1 answer 136 Let k be a constant. The equations kx + y= 3 and 4x + ky= 4 have a unique solution if and only if |k| \neq 2$$|k| = 2$$k \neq 2$$k= 2$1 answer 137 If$x_{1} = \;– 1$and$x_{m} = x_{m+1} + (m + 1)$for every positive integer$m, $then$x_{100}$equals$ – 5151 $$– 5150$$ – 5051 $$– 5050  0 answers 138 Vimla starts for office every day at 9 \; \text{am} and reaches exactly on time if she drives at her usual speed of 40 \; \text{km/hr}. She is late by 6 \; \text{min... 0 answers 139 A man buys 35 \; \text{kg} of sugar and sets a marked price in order to make a 20\% profit. He sells 5 \; \text{kg} at this price, and 15 \; \text{kg} at a 10\%... 1 answer 140 If  f(x+y) = f(x) f(y)  and  f(5) = 4, then  f(10) – f(-10)  is equal to 0$$15.9375$$3$$14.0625$1 answer 141 If$\text{a,b,c}$are non-zero and$14^{a} = 36^{b} = 84^{c},$then$6b \left( \frac{1}{c} \;– \frac{1}{a} \right)$is equal to 1 answer 142 A contractor agreed to construct a$6 \; \text{km}$road in$200 \; \text{days}.$He employed$140$persons for the work. After$60 \; \text{days},$he realized that only... 1 answer 143 Let$\text{m}$and$\text{n}$be positive integers, If$x^{2} + mx + 2n = 0$and$x^{2} + 2nx + m = 0$have real roots, then the smallest possible value of$m + n$is$7$... 1 answer 144 A person invested a certain amount of money at$10\%$annual interest, compounded half-yearly. After one and a half years, the interest and principal together became$\te...
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Anil, Sunil, and Ravi run along a circular path of length $3 \; \text{km},$ starting from the same point at the same time, and going in the clockwise direction. If they r...
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The area, in $\text{sq. units},$ enclosed by the lines $x = 2, y = |x – 2| + 4,$ the X-axis and the Y-axis is equal to $8$$12$$10$$6 0 answers 147 The vertices of a triangle are (0,0), (4,0) and (3,9). The area of the circle passing through these three points is \frac{14 \pi}{3}$$\frac{12 \pi}{5}$$\frac{123 \pi... 0 answers 148 How many integers in the set \{ 100, 101, 102, \dots, 999\} have at least one digit repeated ? 0 answers 149 Let \text{N}, x and y be positive integers such that N = x + y, 2 < x < 10 and 14 < y < 23. If \text{N} 25, then how many distinct values are possible for \... 0 answers 150 The points (2,1) and ( – 3, – 4) are opposite vertices of a parallelogram. If the other two vertices lie on the line x + 9y + c = 0, then \text{c} is 12$$14$...
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How many pairs $(a,b)$ of positive integers are there such that $a \leq b$ and $ab = 4^{2017} \; ?$$2017$$2019$$2020$$2018$
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In a trapezium $\text{ABCD},\; \text{AB}$ is parallel to $\text{DC}, \; \text{BC}$ is perpendicular to $\text{DC}$ and $\angle \text{BAD} = 45^{\circ}.$ If $\text{DC} = 5... 1 answer 153 How many of the integers$1,2, \dots, 120,$are divisible by none of$2,5$and$7 ?$$40$$42$$43$$41$0 answers 154 Two alcohol solutions,$\text{A}$and$\text{B},$are mixed in the proportion$1:3$by volume. The volume of the mixture is then doubled by adding solution$\text{A}$suc... 1 answer 155$\dfrac{2 \times 4 \times 8 \times 16} {(\log_{2} 4)^{2} (\log_{4} 8)^{3} (\log_{8} 16)^{4}}$equals 0 answers 156 A batsman played$n + 2$innings and got out on all occasions. His average score in these$n + 2$innings was$29$runs and he scored$38$and$15$runs in the last two i... 1 answer 157 In the final examination, Bishnu scored$52\%$and Asha scored$64\%.$The marks obtained by Bishnu is$23$less, and that by Asha is$34$more than the marks obtained by... 0 answers 158 Let$\text{m}$and$\text{n}$be natural numbers such that$\text{n}$is even and$0.2 < \frac{m}{20}, \frac{n}{m}, \frac{n}{11} < 0 \cdot 5.$Then$m – 2n$equals$3...
In May, John bought the same amount of rice and the same amount of wheat as he had bought in April, but spent ₹$150$ more due to price increase of rice and wheat by $20... 1 answer 160 In a car race, car$\text{A}$beats car$\text{B}$by$45 \; \text{km},$car$\text{B}$beats car$\text{C}$by$50 \; \text{km},$and car$\text{A}$beats car$\text{C}\$...