Recent activity in Quantitative Aptitude

6 6 votes
2 answers 2 answers
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$?$1$$5$$7$$9$
6 6 votes
3 answers 3 answers
For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ .$\left(0,\dfrac{\pi}{2}\right)$$\left(\dfrac{\pi}{2},\pi\r...
4 4 votes
2 answers 2 answers
Arrange the following three-dimensional objects in the descending order of their volumes: A cuboid with dimensions $\text{10 cm, 8 cm and 6 cm}$ A cube of side $\text...
5 5 votes
2 answers 2 answers
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$$2$$4$$6$$8$
8 8 votes
2 answers 2 answers
An automobile travels from city $A$ to city $B$ and returns to city $A$ by the same route. The speed of the vehicle during the onward and return journeys were constant at...
11 11 votes
2 answers 2 answers
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question $A$ was correctl...
11 11 votes
1 answers 1 answer
In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period $2002$ to $2004$ and a sudden spike from $2004$ to ...
9 9 votes
1 answers 1 answer
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed?$20$$48$$60$$72$
13 13 votes
2 answers 2 answers
The profit shares of two companies $P$ and $Q$ are shown in the figure. If the two companies have invested a fixed and equal amount every year, then the ratio of the tota...
8 8 votes
2 2 answers
The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to___________.$33$$-3$$30$$21$
20 20 votes
3 3 answers
To construct a wall, sand and cement are mixed in the ratio of $3: 1$. The cost of sand and that of cement are in the ratio of $1:2.$If the total cost of sand and cement ...
4 4 votes
2 2 answers
​​​​​​​Consider the following inequalities.$3p \:– q < 4$$3q \:– p < 12$Which one of the following expressions below satisfies the above two inequalities?$p + q < 8$$p + ...
3 3 votes
2 2 answers
A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest...
3 3 votes
2 2 answers
A sphere of radius $r$ $\text{cm}$ is packed in a box of cubical shape.What should be the minimum volume (in $\text{cm}^{3}$) of the box that can enclose the sphere?$\fra...
5 5 votes
3 answers 3 answers
For a matrix $M=[m_{ij}]; \: i,j=1,2,3,4$, the diagonal elements are all zero and $m_{ij}=-m_{ji}$. The minimum number of elements required to fully specify the matrix is...
7 7 votes
2 2 answers
In the given figure, PQRS is a parallelogram with $\mathrm{PS}=7 \mathrm{~cm}, \mathrm{PT}=4 \mathrm{~cm}$ and $\text{PV}=5 \mathrm{~cm}$. What is the length of $\mathrm{...
14 14 votes
4 answers 4 answers
The distance between Delhi and Agra is $233$ km. A car $P$ started travelling from Delhi to Agra and another car $Q$ started from Agra to Delhi along the same road $1$ ho...
14 14 votes
5 answers 5 answers
Pipes $\text{P}$ and $\text{Q}$ can fill a storage tank in full with water in $10$ and $6$ minutes, respectively. Pipe $\text{R}$ draws the water out from the storage tan...
2 2 votes
10 answers 10 answers
The difference between the sum of the first $2n$ natural numbers and the sum of the first $n$ odd natural numbers is ______$n^2-n$$n^2+n$$2n^2-n$$2n^2+n$
0 0 votes
1 1 answer
How many $3$-digit numbers can be formed using three distinct single digit prime numbers?$64$$24$$12$$4$
0 0 votes
1 1 answer
If $|-2x+9| = 3$ then the possible value of $|-X|-X^2$ would be:$30$$-30$$-42$$42$
0 0 votes
1 1 answer
If $y=5x^{2}+3,$ then the tangent at $x=0,y=3$passes through $x=0,y=0$has a slope of $+1$is parallel to the $x$-axishas a slope of $-1$
1 1 vote
1 1 answer
A polygon is convex if, for every pair of points, $P$ and $Q$ belonging to the polygon, the line segment $PQ$ lies completely inside or on the polygon. Which one of the f...
1 1 vote
1 answers 1 answer
The binary operation $□$ is defined as $a □ b$ = $ab+(a+b)$, where $a$ and $b$ are any two real numbers. The value of the identity element of this operation, defined as t...
1 1 vote
1 1 answer
​​​​​In a locality, the houses are numbered in the following way:The house-numbers on one side of a road are consecutive odd integers starting from $301$, while the house...
1 1 vote
0 0 answers
​​​Rohit goes to a restaurant for lunch at about $1$ PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding...
0 0 votes
1 1 answer
​​​​​Three distinct sets of indistinguishable twins are to be seated at a circular table that has $8$ identical chairs. Unique seating arrangements are defined by the rel...
1 1 vote
0 0 answers
​​On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time $12:05:00$ hours to $12: 55: 00$ hours?$51$$49...
–1 –1 vote
0 0 answers
A principal amount is charged a nominal annual interest rate of $10 \%$. If the interest rate is compounded continuously, the final amount at the end of the one year woul...
0 0 votes
0 0 answers
A bond has a maturity value of $20,000$ Rupees at the end of $4$ years. The interest is compounded at the rate of $5\%$ per year.The initial investment to be made, rounde...
0 0 votes
0 0 answers
The ratio of boys to girls in a class is $7$ to $3$.Among the options below, an acceptable value for the total number of students in the class is:$21$$37$$50$$73$
0 0 votes
0 0 answers
We have $2$ rectangular sheets of paper, $M$ and $N$, of dimensions $6$ cm $\times$ $1$ cm each. Sheet $M$ is rolled to form an open cylinder by bringing the short edges ...
0 0 votes
0 0 answers
$$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit} \% & \textbf{Marked Price} \\ & (₹) && (₹) \\ \hline P & 5,400 & \dots & 5,860 \\ \hli...
0 0 votes
0 0 answers
There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least two chocolates are ide...
0 0 votes
0 0 answers
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y = 2x – 0.1x^...
0 0 votes
0 0 answers
Velocity of an object fired directly in upward direction is given by $V = 80 – 32\: t$, where $t$ (time) is in seconds. When will the velocity be between $32\: m/sec$ and...
0 0 votes
0 0 answers
In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production, $2\%$ of $M1$ and $3\%$ of $M2$ ar...
0 0 votes
0 0 answers
Following table gives data on tourists from different countries visiting India in the year $2011$$$\begin{array}{|cl|cl|} \hline & \textbf{Country} & \textbf{Number of T...
0 0 votes
0 0 answers
A cube of side $3$ units is formed using a set smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are ...
0 0 votes
0 0 answers
Which of the following assertions are $\text{CORRECT}$?$P$ : Adding $7$ to each entry in a list adds $7$ to the mean of the list$Q$ : Adding $7$ to each entry in a list...
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