Recent questions tagged gateece-2024

​​​If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words[ charm $\rightarrow$ enamor $\rightarrow$ bewitch] is analogous to [bored $\r...

​​​​$\text{P, Q, R, S}$, and $\text{T}$ have launched a new startup. Two of them are siblings. The office of the startup has just three rooms. All of them agree that the ...

​​​​For a real number $x>1$,$$\frac{1}{\log _{2} x}+\frac{1}{\log _{3} x}+\frac{1}{\log _{4} x}=1$$ The value of $x$ is$4$$12$$24$$36$

The greatest prime factor of $\left(3^{199}-3^{196}\right)$ is$13$$17$$3$$11$

​Sequence the following sentences $(\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S})$ in a coherent passage:$\text{P}$: Shifu's student exclaimed, "Why do you run since th...

​​​​​Four identical cylindrical chalk-sticks, each of radius $r=0.5 \mathrm{~cm}$ and length $l=10 \mathrm{~cm}$, are bound tightly together using a duct tape as shown in...

The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index $\text{(BMI)}$ in $2003$ and $2023$. Based on the...

Examples of mirror and water reflections are shown in the figures below: An object appears as the following image after first reflecting in a mirror and then reflecting o...

​​​Two identical sheets $\text{A}$ and $\text{B}$, of dimensions $24 \mathrm{~cm} \times 16 \mathrm{~cm}$, can be folded into half using two distinct operations, $\text{F...

The general form of the complementary function of a differential equation is given by $y(t)=(A t+B) e^{-2 t}$, where $A$ and $B$ are real constants determined by the init...

​​​​For the Boolean function\[F(A, B, C, D)=\sum m(0,2,5,7,8,10,12,13,14,15) \text {, }\]the essential prime implicants are $\_\_\_\_\_\_$.$B D, \bar{B} \bar{D}$$B D, A B...

​​​​A causal and stable $\text{LTI}$ system with impulse response $h(t)$ produces an output $y(t)$ for an input signal $x(t)$. A signal $x(0.5 t)$ is applied to another c...

​In the circuit shown, the $n: 1$ step-down transformer and the diodes are ideal. The diodes have no voltage drop in forward biased condition. If the input voltage (in Vo...

In a number system of base $r$, the equation $x^{2}-12 x+37=0$ has $x=8$ as one of its solutions. The value of $r$ is $\_\_\_\_\_\_\_$.

In the circuit given below, the switch $\text{S}$ was kept open for a sufficiently long time and is closed at time $t=0$. The time constant (in seconds) of the circuit fo...