# Recent questions tagged numerical-ability

1
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
2
If $\log_{x}y=100$ and $\log_{2}x=10$, then the value of $y$ is : $2^{10}$ $2^{100}$ $2^{1000}$ $2^{10000}$
1 vote
3
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 probability that the selection contains a batsman, a bowler and an all-rounder. $\dfrac{12}{60} \\$ $\dfrac{13}{25} \\$ $\dfrac{12}{55} \\$ $\dfrac{104}{165}$
4
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: $20$ days $22.5$ days $25$ days $30$ days
1 vote
5
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 of one hall exceeds the length of the other by $1$ m and the cost of painting is $₹5$ per sq.m, what is the height of the two halls? $3$ m $5$ m $7.5$ m $10$ m
6
Irvin sold a book at a profit of $12\%$. If Irvin had sold it for $₹18$ more, then $18\%$ would have been gained. Find the cost price. $₹600$ $₹300$ $₹400$ $₹200$
7
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 shown by the watch at $6$ p.m. on Saturday? $6.16$ p.m $6.30$ p.m $6.26$ p.m $5.34$ p.m
8
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 of the stream is: $2$ mph $2.5$ mph $3$ mph $4$ mph
9
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: $3i+4j$ $4i+j$ $4j+i$ $i+4j$
10
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. If Aishwarya’s speed was $4$ km per hour and Ananya’s was $3$ km per hour, how many km from Ananya’s home did the two meet? $24$ $22$ $21$ $19.5$
11
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? $20$ $25$ $30$ $33.33$
12
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 $b=0$
13
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? $₹8,600$ $₹8,620$ $₹8,820$ None of the options
14
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 turning up heads is: $80\%$ $125\%$ $50\%$ $20\%$
15
The value of $[(10)^{150}\div (10)^{146}]$: $1000$ $10000$ $100000$ $10^{6}$
16
In a factory making radioactive substances, it was considered that the three cubes of uranium together are hazardous. So the company authorities decided to have the stack of uranium interspersed with lead cubes. But there is a new worker in a company who does not know the rule. So he ... he wanted. What is the number of hazardous combinations of uranium in a stack of $5$? $3$ $7$ $8$ $10$
1 vote
17
Geetanjali Express, which is $250$ metre long when moving from Howrah to Tatanagar crosses Subarnarekha bridge in $30$ seconds. What is the speed of Geetanjali Express? Statement I: Bombay Mail, which runs at $60$ km/hour crosses the Subranarekha bridge in $30$ seconds. Statements II: Bombay Mail when running at $90$ km/hour crosses a lamp post in $10$ seconds.
18
What was the difference, if any, between the number of permanent workers employed by $M/s$ Mega Corp Limited on March $1$ and the number of permanent workers employed on April $1$? $0$ $50$ $100$ $150$
19
What was the total number of units shipped by $M/s$ Mega Corp Limited for the months of January, February and March (approximately)? $40,000$ $55,000$ $60,000$ $70,000$
20
If on May $1$, $60$% of the permanent workers and $40$% of the temporary workers employed by $M/s$ Mega Corp Limited were women, how many of the workers employed by $M/s$ Mega Corp Limited at that time were women? $200$ $120$ $410$ $260$
21
Based on the information given above, the minimum number of faculty members involved in both training and teaching , but not in research is: $1$ $3$ $4$ $5$
The completion of one cycle of the network results in one bottle ready to be sold in the market . The project involves a total of $800$ bottles. What is the average cost of the entire project? Rs $74400$ Rs $372000$ Rs $15000$ Rs $18500$
$A$ 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 how many days $A,B,C$ will complete the work together ?
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 $33.33\%$ over its usual speed. find its increased speed? $250 \hspace{0.1cm} kmph$ $500 \hspace{0.1cm} kmph$ $750 \hspace{0.1cm} kmph$ none the answer given is $750 \hspace{0.1cm} kmph$ but i m getting $250$ which is correct??