# Recent questions and answers in Quantitative Aptitude

1
By selling $45$ limes for Rs. $40,$ a woman loses $20\%.$ How many should she sell for Rs. $24$ to gain $20\%$ in the transaction? $16$ $18$ $20$ $22$
2
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank $5$ hours faster than the first pipe and $4$ hours slower than the third pipe. The time required by the first pipe is? $6$ hours $10$ hours $15$ hours $30$ hours
3
A rectangular field is to be fenced on three sides leaving a side of $20$ feet uncovered. If the area of the field is $680$ sq feet, how many feet of fencing will be required? $34$ $40$ $68$ $88$
1 vote
4
The difference between simple and compound interests compounded annually on a certain sum of money for $2$ years at $4\%$ per annum is Re. $1$. The sum (in Rs.) is $625$ $630$ $640$ $650$
1 vote
5
In a camp, there are meals for $120$ men or $200$ children. If $150$ children have taken their meals, how many men will be catered to with the remaining meal ? $50$ $40$ $30$ $20$
6
7
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: $80\%$ $125\%$ $50\%$ $20\%$
8
Shirin went to a bakery and bought items worth Rs. $25,$ out of which $30$ paise went on sales tax on taxable purchases. If the tax rate was $6\%,$ then what was the cost of the tax free items? Rs. $12$ Rs. $19.70$ Rs. $19.10$ Rs. $18.80$
1 vote
9
The rate of simple interest on a sum of money is $6$ per cent per annum for the first $3$ years, $8$ per cent per annum for the next $5$ years and $10$ per cent per annum for the period beyond $8$ years. If the simple interest accrued by the sum for a total period of $10$ years is Rs. $1,560,$ what is the sum? Rs. $1,500$ Rs. $3,000$ Rs. $2,000$ Data Inadequate
1 vote
10
Assume that a sum of money is divided equally among $n$ girls. Each girl will receive $\$60.$If another girl is added to the group and the sum is divided equally among all the girls, each child girl gets a$\$50$ share. What is the sum of money? $\$3000\$300$ $\$110\$10$
11
A $300$ metre long metro train crosses a platform in a metro station in $39$ seconds while it crosses a lamp post in $18$ seconds. What is the length of the platform? $250$ metre $350$ metre $520$ metre $300$ metre
1 vote
12
In a group of $7$ people, the average age is found to be $17$ years. Two more people joined with an average age $19$ years. One person left the group whose age was $25$ years. What is the new average age of the group? $17.5$ years $16.5$ years $18$ years $16$ years
13
Irvin sold a book at a profit of $12\%.$ If Irvin had sold it for Rs. $18$ more, then $18\%$ would have been gained. Find the cost price. Rs. $600$ Rs. $300$ Rs. $400$ Rs. $200$
14
Line $AB$ is $24$ metres in length and is tangent to the inner one of the two concentric circles at point $C.$ Points $A$ and $B$ lie on the circumference of the outer circle. It is known that the radii of the two circles are integers. The radius of the outer circle is $13$ m $5$ m $7$ m $4$ m
15
An alloy contains copper and zinc in the ratio $5:3$ and another contains copper and tin in the ratio $8:5.$ If equal weights of the two are melted together to form a $3^{rd}$ alloy, find the weight of tin per kg in the new alloy. $40/129$ $5/13$ $5/26$ $28/5$
16
$x$ is a whole number. If the only common factors of $x$ and $x2$ are $1$ and $x,$ then $x$ is ________. $1$ a perfect square an odd number a prime number
17
Aamir and Birju can cut $5000\;\text{g}$ of wood in $20$ min. Birju and Charles can cut $5000\;\text{g}$ of wood in $40$ min. Charles and Aamir cut $5\;\text{kg}$ of wood in $30$ min. How much time Charles will take to cut $5\;\text{kg}$ wood alone? $120$ min $48$ min $240$ min $120/7$ min
1 vote
18
The difference between the compound interest and the simple interest earned at the end of $3^{rd}$ year on a sum of money at a rate of $10\%$ per annum is Rs. $77.5.$ What is the sum? Rs. $3,500$ Rs. $2,500$ Rs. $3,000$ Rs. $2,000$
19
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: $3i+4j$ $4i+j$ $4j+i$ $i+4j$
20
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
21
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
22
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? $24$ $22$ $21$ $19.5$
23
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? $20$ $25$ $30$ $33.33$
24
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 $b=0$
25
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
26
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
27
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. $\dfrac{12}{60} \\$ $\dfrac{13}{25} \\$ $\dfrac{12}{55} \\$ $\dfrac{104}{165}$
28
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
29
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. $₹600$ $₹300$ $₹400$ $₹200$
30
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
31
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
32
A boat travels upstream from $P$ to $Q$ and downstream from $Q$ to $P$ in $4$ hours. If the speed of the boat in still water is $12$ km/hr and the speed of the current is $4$ km/hr, then what is the distance from $P$ to $Q$? $31\dfrac{1}{3}$ km $41\dfrac{1}{3}$ km $21\dfrac{1}{3}$ km $11\dfrac{1}{3}$km
33
A tradesman marks his goods at such a price that after allowing a discount of $15\%$, he earns a profile of $20\%$. Find the marked price of an article which costs him ₹$850$. ₹$1200$ ₹$1300$ ₹$1250$ ₹$1350$
1 vote
34
$56$ men can complete a piece of work in $24$ days. In how many days can $42$ men complete the same piece of work ? $48$ $32$ $20$ $16$
35
How many one rupee coins, $50$ paise coins and $25$ paise coins of which the numbers are proportional to $4, 5$ and $6$ are together worth ₹$32$? $16, 20, 24$ $12, 16, 20$ $20, 24, 28$ $24, 28, 32$
36
$A$ & $B$ together have ₹$1210$. If $4/15$ of $A's$ amount is equal to $2/5$ of $B's$ amount, how much amount does $B$ have? ₹$664$ ₹$550$ ₹$484$ ₹$460$
1 vote
37
$1/4$th of $60\%$ of a number is equal to $2/5$th of $20\%$ of another number. What is the respective ratio of the first number to that of second number? $8:15$ $5:9$ $8:13$ $4:7$
The average of the husband and his wife age was $23$ years at the time of their marriage. After five years they have a one year old child. The average age of the family now is : $29.3$ years $28.5$ years $23$ years $19$ years
A train starts at $7$ a.m. from $A$ towards $B$ with a speed of $50$ km/hr. Another train from $B$ starts at $8$ a.m. with a speed of $60$ km/hr towards $A$. Both of them meet at $10$ a.m. at $C$. The ratio of the distances $AC$ to $BC$ is : $4:5$ $5:4$ $5:6$ $6:5$
$A$ can run $200$ m in $35$ seconds and $B$ in $38$ seconds. By what distance $A$ beats $B$? $15$ m $15\dfrac{2}{3}$ m $15\dfrac{15}{19}$ m $15\dfrac{4}{19}$ m