Recent questions tagged numerical-ability

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Let $n$ be any natural number such that $5^{n-1}<3^{n+1}$. Then, the least integer value of $m$ that satisfies $3^{n+1}<2^{n+m}$ for each such $n$, is
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The population of a town in $2020$ was $100000$. The population decreased by $y \%$ from the year $2020$ to $2021$, and increased by $x \%$ from the year $2021$ to $2022$...
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The number of coins collected per week by two coin-collectors $A$ and $B$ are in the ratio $3: 4$. If the total number of coins collected by $A$ in $5$ weeks is a multipl...
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Pipes $\mathrm{A}$ and $\mathrm{C}$ are fill pipes while Pipe $\mathrm{B}$ is a drain pipe of a tank. Pipe $\mathrm{B}$ empties the full tank in one hour less than the ti...
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Anil borrows Rs $2$ lakhs at an interest rate of $8 \%$ per annum, compounded half-yearly. He repays Rs $10320$ at the end of the first year and closes the loan by paying...
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A container has $40$ liters of milk. Then, $4$ liters are removed from the container and replaced with $4$ liters of water. This process of replacing $4$ liters of the li...
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If a certain amount of money is divided equally among $\mathrm{n}$ persons, each one receives Rs $352$. However, if two persons receive Rs $506$ each and the remaining am...
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Three participants - Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between...
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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...
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In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?$10080$$4989600$$120960$None of the options
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Irvin sold a book at a profit of $12\%$. If Irvin had sold it for $\text{₹}18$ more, then $18\%$ would have been gained. Find the cost price.$\text{₹}600$$\text{₹}300$$\t...
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If $\log_{x}y=100$ and $\log_{2}x=10$, then the value of $y$ is :$2^{10}$$2^{100}$$2^{1000}$$2^{10000}$
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A college cricket team with $11$ players consists of $4$ batsman, $3$ all-rounders, $3$ bowlers and $1$ wicket keeper. $3$ players are selected randomly. Find the probabi...
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Ali is thrice as good as workman as Birju and therefore is able to finish a job in $60$ days less than Birju. If both Ali and Birju, work together, they can do it in:$20$...
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Rishi got two halls in his house painted. It cost him $₹6,000$ and $₹6,100$ respectively to paint the $4$ walls of his $2$ square halls, of the same height. If the length...
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A boat takes $90$ minutes less to travel $36$ miles downstream than to travel the same distance upstream. If the speed of the boat in still water is $10$ mph, the speed o...
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The velocity of a boat ralative to water is $3i+4j$ and that of water relative to earth is $i-3j$, the velocity of the boat relative to the earth is:$3i+4j$$4i+j$$4j+i$$i...
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An hour after Aishwarya started from her college towards Ananya’s home, a distance of $53$ km, Ananya started from her home on the same road towards Aishwarya’s college. ...
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After the price of apples reduced, it enabled a person to purchase $3$ apples for $₹1$ instead of $₹1.25$. What is the percentage reduction in price?$20$$25$$30$$33.33$
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The equation $ax-(a+b)y=1$ and $(a-b)x+ay=5$ have a unique solution:for all values of $a$ and $b$only when $a=b$only when $a^{2}:b^{2}=1:2$only when $a=0$ and $b=0$
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My father gifted me a digital watch that runs fast at the rate of $15$ seconds per hour. If I have set the watch correctly at $10$ a.m. on Tuesday, what will be the time ...
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Anand invested $₹8,000$ as a fixed deposit scheme for $2$ years at compound interest rate $5\%$ p.a. How much amount will Anand get on maturity of the fixed deposit?$₹8,6...
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If a fair coin is tossed $5$ times and comes up heads four times out of five. Then if the coin is tossed a sixth time under the same conditions, the probability of it tur...
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The value of $[(10)^{150}\div (10)^{146}]$:$1000$$10000$$100000$$10^{6}$
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$A$ can complete half work in $7$ days $B$ can do $\dfrac{1}{3}$ of work in $14$ days .while $C$ can complete the $20\%$ of the remaining work in $\dfrac{28}{5}$ days. In...
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A plane left half an hour than the scheduled time and in order to reach its destination $1500 \hspace{0.1cm} km$ away in time, it had to increase its speed by $33.33\%$ o...
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