VITEEE PCME Mock Test - 2 - JEE MCQ

If n is any positive integer ,then the value of
[i⁽⁴ⁿ⁺¹⁾ - i^(4n-1)] /2 equals

 for x ≠ 5 and f is continuous at x = 5 then f(5) =

 is a singular matrix, then x =

If x ≠ 0  , then x =

If the function f is defined by f(x)   = x / 1 + | x | then at what points is f differentiable

The differential equation for the family of curves x² + y² - 2ay = 0, where a is an arbitrary constant is

The slope of the tangent at (x,y) to a curve passing thro' a point (2,1) is x²+y²/2xy, then the eqution of the curve is

If x(dy/dx) = y(log y - log x + 1), then the solution of the equation is

The solution of differential equation (x+2y³) dy/dx = y is

The interval in which y=x²e^x is increasing with respect to x, is

Let f : R → R be defined by  

Then the value of f(-1.75) + f(0.5) + f(1.5) is

∫secx dx=

If cot^-1[(cos α)^1/2] - tan^-1[(cot α)^1/2] = x, then sin x =

Directions: Read the table given below and answer the questions accordingly.

Shares traded in Chandigarh, Punjab, Haryana (In Rupees)

Q. The average for the high rates of Chandigarh for all the companies was

Directions: Read the table given below and answer the questions accordingly.

Shares traded in Chandigarh, Punjab, Haryana (In Rupees)

Q. Total of low value of the Punjab region exceeds the total of the low value of the region of Haryana by how much?

Directions: Read the table given below and answer the questions accordingly.

Shares traded in Chandigarh, Punjab, Haryana (In Rupees)

Q. Low for RCOM for all the given states/UT form what percent of the low for ZARA for the same?

Directions: Answer the given question based on the following line graph:
Calculate the increase in stock of cereal 1 for 1992

Directions: Study the given information carefully and answer the following question.

The graph below represents sales and net profit in Rs. crore of IVP Ltd. for five years from 1994-95 to 1998-99. During this period, the sales increased from Rs. 100 crore to Rs. 680 crore. Correspondingly, the net profit increased from Rs. 2.5 crore to Rs. 12 crore. Net profit is defined as the excess of sales over total costs.

Q. Defining profitability as the ratio of net profit to net sales, it can be concluded that

Directions: Study the given information carefully and answer the following question.

The graph below represents sales and net profit in Rs. crore of IVP Ltd. for five years from 1994-95 to 1998-99. During this period, the sales increased from Rs. 100 crore to Rs. 680 crore. Correspondingly, the net profit increased from Rs. 2.5 crore to Rs. 12 crore. Net profit is defined as the excess of sales over total costs.

Q. The highest percentage growth in net profit as compared to the previous year was seen in

Directions: Study the given information carefully and answer the following question.

The graph below represents sales and net profit in Rs. crore of IVP Ltd. for five years from 1994-95 to 1998-99. During this period, the sales increased from Rs. 100 crore to Rs. 680 crore. Correspondingly, the net profit increased from Rs. 2.5 crore to Rs. 12 crore. Net profit is defined as the excess of sales over total costs.

Q. The highest percentage of growth in sales over the previous year occurred in

Sheldon had to cover a distance of 60 km. However, he started 6 minutes later than his scheduled time and raced at a speed 1 km/h higher than his originally planned speed and reached the finish at the time he would reach it if he began to race strictly at the appointed time and raced with the assumed speed. Find the speed at which he travelled during the journey described.

Two sprinters run the same race of100 m One runs at a speed of 10 m/s and the other runs at 8 m/s. By what time will the first sprinter beat the other sprinter?

X can do a piece of work in 20 days. He worked at it for 5 days and then Y finished it in 15 days. In how many days can X and Y together finish the work?