List of practice Questions

If\(|\vec {a}+\vec {b}|=15, |\vec {a}-\vec{b}| =10,|\vec a|=\frac{11}{2}\) then the value of |\(\vec b\)| is/are:

The maximum value of Z= 2x + 3y subject to the constraints x≥0, y>0; x+y≤ 10, 3x+4y≤ 36 is:

The straight line \( \frac{x+2}{3} = \frac{z-3}{ -2}, y-2 \) is

If set A has 5 elements and set B has 7 elements than number of one-one and onto mapping from A to B is:

A vector \(\overrightarrow{r}\) is inclined at equal angles to the three axes. If the magnitude of \(\overrightarrow{r}\) is \(3\sqrt3\) units, then the value of \(\overrightarrow{r}\) is:

The value of \(\int_0^3 |2x-6|dx\) is:

In a partnership, A invests one-fourth of the capital for one-third of the time, B invests one-third of the capital for one-fourth of the time and C invests the rest of the capital for the whole time. Out of a profit of ₹3,500, A's share is:

Match List I with List II

Choose the correct answer from the options given below:

The point on the curve y²=16x for which the y-coordinate is changing 2 times as fast as the x-coordinate is:

If Paasche's index number is 160 and Laspeyre's index number is 250, then Fisher's index number is:

In an examination the marks of six boys are 48, 59, 57, 37, 78, and 57 respectively. The average marks of all the six boys are :

If f(x) - 27x³ and g(x) = \((x)^{\frac{1}{3}}\), then gof(x) is :

Suppose that a 95% confidence interval states that population mean is greater than 100 and less than 300. Then the value of sample mean \((\bar{x})\) and margin of error (E) respectively are :

A container is full of mango juice. One fifth of juice is taken out from this container and then an equal amount of water is poured into the bottle. This process is repeated 3 more times. The final ratio of juice and water in the container is:

A thief is spotted by a policeman from a distance of 100m. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8 km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken ?

If ⁿC₉ = ⁿC₃. what is n?

Given expression:
\(\frac{(0.682)^2-(0.318)^2}{0.682-0.318}\)

Among P, Q, R, S, T, each having different weight. R is heavier than only P and S is lighter than Q and heavier than T. Who among them is the heaviest?

First two words are related in a certain way in:
Transition: Change:: Immobility: ?
Identify the suitable word in place of? so that third and fourth words also become relatable the some manner.

Sourav completes a journey in \(5\frac12\) hours. If he covers half of the distance at \( 5\ km/h\) and the remaining distance at \(6\  km/h\), then find the total distance covered by him.

Which of the following statements are true for rectangles?
A. All interior angles are right angles.
B. Diagonals are perpendicular to each other.
C. Diagonals are equal.
D. Opposite angles are supplementary
Choose the correct answer from the options given below:

The price of rice increases by 30%. A family reduced its consumption so that the expenditure of the rice is up only by 10%. If the total consumption of the rice before the price rise was 10 kg per month, then the consumption of rice per month at present (in kg) is:

What should replace the question mark ?
\(\frac{854\times 854 × 854-276 × 276 × 276}{854 \times854 + 854×276+276 × 276}=?\)

Area lying between the curves \(y^2 = 9x\) and y = 3x is:

The present value (in ₹.) of a perpetuity of ₹.3600 payable at the end of each quarter, if the interest rate is 9% per annum compounded quarterly, is: