# 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
1 vote
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
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
8
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: $3i+4j$ $4i+j$ $4j+i$ $i+4j$
9
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? $24$ $22$ $21$ $19.5$
10
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? $20$ $25$ $30$ $33.33$
11
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 $b=0$
12
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
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: $80\%$ $125\%$ $50\%$ $20\%$
The value of $[(10)^{150}\div (10)^{146}]$: $1000$ $10000$ $100000$ $10^{6}$
$A$ 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??