Questions without answers in Quantitative Aptitude

For a $4$-digit number (greater than $1000$), sum of the digits in the thousands, hundreds, and tens places is $15 $. Sum of the digits in the hundreds, tens, and units p...

The average salary of $5$ managers and $25$ engineers in a company is $60000$ rupees. If each of the managers received $20\%$ salary increase while the salary of the engi...

The monthly sales of a product from January to April were $120,135,150$ and $165$ units, respectively. The cost price of the product was Rs. $240$ per unit, and a fixed m...

A triangle $\text{ABC}$ is formed with $\text{AB}=\text{AC}=50 \mathrm{~cm}$ and $\text{BC}=80 \mathrm{~cm}$. Then, the sum of the lengths, in $\mathrm{cm}$ , of all thre...

In $\triangle \mathrm{ABC}, \mathrm{AB}=\mathrm{AC}=12 \mathrm{~cm}$ and $\mathrm{D}$ is a point on side $\mathrm{BC}$ such that $\mathrm{AD}=8 \mathrm{~cm}$. If $\mathrm...

For real values of $x$, the range of the function $f(x)=\dfrac{2 x-3}{2 x^{2}+4 x-6}$ is$(-\infty, \dfrac{1}{4}] \cup[1, \infty)$$(-\infty, \dfrac{1}{4}] \cup [\dfrac{1}{...

The sum of all possible real values of $x$ for which $\log _{x-3}(x^{2}-9)=\log _{x-3}(x+1)+2$, is$\dfrac{3+\sqrt{33}}{2}$$\sqrt{33}$$3$$-3$

Rahul starts on his journey at $5$ pm at a constant speed so that he reaches his destination at $11$ pm the same day. However, on his way, he stops for $20$ minutes, and ...

The ratio of the number of coins in boxes $A$ and $B$ was $17:7$. After $108$ coins were shifted from box $A$ to box $B$, this ratio became $37: 20$. The number of coins ...

Let $\mathrm{p}, \mathrm{q}$ and $\mathrm{r}$ be three natural numbers such that their sum is $900$, and $\mathrm{r}$ is a perfect square whose value lies between $150$ a...

$\text{ABCD}$ is a trapezium in which $\text{AB}$ is parallel to $\text{DC}$ , $\text{AD}$ is perpendicular to $\text{AB}$, and $\text{AB}=3 \text{DC}$. If a circle inscr...

Vessels $\text{A}$ and $\text{B}$ contain $60$ litres of alcohol and $60$ litres of water, respectively. A certain volume is taken out from $\text{A}$ and poured into $\t...

The rate of water flow through three pipes $\text{A}, \text{B}$ and $\text{C}$ are in the ratio $4: 9: 36$. An empty tank can be filled up completely by pipe $\text{A}$ i...

If $f(x)=(x^{2}+3 x)(x^{2}+3 x+2)$, then the sum of all real roots of the equation $\sqrt{\mathrm{f}(\mathrm{x})+1}=9701$ is$-3$$3$$-6$$6$

The sum of all the digits of the number $(10^{50}+10^{25}-123)$ is$221$$255$$324$$212$

If $(x^{2}+\dfrac{1}{x^{2}})=25$ and $x>0$, then the value of $(x^{7}+\dfrac{1}{x^{7}})$ is$44853 \sqrt{3}$$44850 \sqrt{3}$$44859 \sqrt{3}$$44856 \sqrt{3}$

If $12^{12 x} \times 4^{24 x+12} \times 5^{2 y}=8^{4 z} \times 20^{12 x} \times 243^{3 x-6}$, where $x$, $y$ and $z$ are natural numbers, then $x+y+z$ equals

Teams $\text{A}, \text{B}$, and $\text{C}$ consist of five, eight, and ten members, respectively, such that every member within a team is equally productive. Working sepa...

In a school with $1500$ students, each student chooses any one of the streams out of science, arts, and commerce, by paying a fee of Rs $1100$, Rs $1000$ , and Rs $800$ ,...

In an arithmetic progression, if the sum of fourth, seventh and tenth terms is $99$ , and the sum of the first fourteen terms is $497$, then the sum of first five terms i...

Ankita walks from $\text{A}$ to $\text{C}$ through $\text{B}$, and runs back through the same route at a speed that is $40 \%$ more than her walking speed. She takes exac...

In a class of $150$ students, $75$ students chose physics, $111$ students chose mathematics and $40$ students chose chemistry. All students chose at least one of the thre...

The number of distinct integer solutions $(x, y)$ of the equation $\mid x+y \mid + \mid x-y \mid =2$, is

Consider the sequence $t_{1}=1, t_{2}=-1$ and $t_{n}=\left(\frac{n-3}{n-1}\right) t_{n-2}$ for $n \geq 3$. Then, the value of the sum $\frac{1}{t_{2}}+\frac{1}{t_{4}}+\fr...

The number of distinct real values of $x$, satisfying the equation $\max \{x, 2\}-\min \{x, 2\}=\mid x+2 \mid-\mid x-2 \mid$, is

If $10^{68}$ is divided by $13$, the remainder is$5$$8$$4$$9$

For some constant real numbers $p, k$ and $a$, consider the following system of linear equations in $x$ and $y$:$px-4y=2$$3x+ky=a$A necessary condition for the system to ...

The sum of all distinct real values of $x$ that satisfy the equation $10^{x}+\frac{4}{10^{x}}=\frac{81}{2}$, is$4 \log _{10} 2$$2 \log _{10} 2$$3 \log _{10} 2$$\log _{10}...

A train travelled a certain distance at a uniform speed. Had the speed been $6$ km per hour more, it would have needed $4$ hours less. Had the speed been $6$ km per hour ...

In a group of $250$ students, the percentage of girls was at least $44 \%$ and at most $60 \%$. The rest of the students were boys. Each student opted for either swimming...

Sam can complete a job in $20$ days when working alone. Mohit is twice as fast as Sam and thrice as fast as Ayna in the same job. They undertake a job with an arrangement...

A certain amount of water was poured into a $300$ litre container and the remaining portion of the container was filled with milk. Then an amount of this solution was tak...

A regular octagon $\mathrm{ABCDEFGH}$ has sides of length $6$ $\mathrm{cm}$ each. Then the area, in $\mathrm{sq. cm}$, of the square $\mathrm{ACEG}$ is$36(1+\sqrt{2})$$72...

After two successive increments, Gopal's salary became $187.5 \%$ of his initial salary. If the percentage of salary increase in the second increment was twice of that in...

A circular plot of land is divided into two regions by a chord of length $10 \sqrt{3}$ meters such that the chord subtends an angle of $120^{\circ}$ at the center. Then, ...

Aman invests $\mathrm{Rs} \: 4000$ in a bank at a certain rate of interest, compounded annually. If the ratio of the value of the investment after $3$ years to the value ...

If $(a+b \sqrt{3})^{2}=52+30 \sqrt{3}$, where $a$ and $b$ are natural numbers, then $a+b$ equals$9$$8$$7$$10$

Rajesh and Vimal own $20$ hectares and $30$ hectares of agricultural land, respectively, which are entirely covered by wheat and mustard crops. The cultivation area of wh...

Gopi marks a price on a product in order to make $20 \%$ profit. Ravi gets $10 \%$ discount on this marked price, and thus saves Rs $15$. Then, the profit, in rupees, mad...

The roots $\alpha, \beta$ of the equation $3 x^{2}+\lambda x-1=0$, satisfy $\frac{1}{\alpha^{2}}+\frac{1}{\beta^{2}}=15$. The value of $\left(\alpha^{3}+\beta^{3}\right)^...