Instructions

For the following questions answer them individually

Question 71

The following Pie chart represents the percentage-wise distribution of 300 students of class X in a schoolin six different sections A, B, C, D, E and F.

The table given below shows the number of boys of class X in six different sections A, B, C, D, E and F.

If in section E, the ratio of the number of boys to the number of girls is 3 : 4, then the ratio of number of boys in section E to the number of girls in section is :

Question 72

A heap of wheat is in the form of a cone whose base diameter is 8.4 m and height is 1.75 m. The heap is to be covered by canvass. What is the area (in m$$^2$$ ) of the canvas required?

(Use $$\pi = \frac{22}{7}$$)

Question 73

If $$2 \sin (3x - 15)^\circ = 1, 0^\circ < (3x - 15) < 90^\circ$$, then find the value of $$\cos^2 (2x + 15)^\circ + \cot^2 (x + 15)^\circ$$.

Question 74

If $$(16\sqrt{2}x^3 + 81\sqrt{3}y^3) \div (2\sqrt{2}x + 3\sqrt{3}y) = Ax^2 + By^2 + Cxy$$, then find the value of $$2A - 3B - 2\sqrt{6} C$$.

Question 75

Radha purchased a Computer table for ₹10000 anda Centre table for ₹5000. She sold Computer table with 8% profit. With whatprofit percent should she sell the Centre table so as to gain 10% on the whole transaction?

Question 77

Select the option that expresses the given sentence in indirect speech.

The teacher said, “Man is mortal.”

Question 78

Select the most appropriate option to fill in the blank.

I read some ______ of properties for sale on the Internet before I called the agent.

Question 79

Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the right order to form a meaningful and coherent paragraph.

A. There are many secondary reasons as well along with increasing levels of carbon.

B. The term is used to describe the unnatural rise in earth’s average temperature.

C. Increased carbon dioxide is the primary driver of global warming.

D. Global warming is the single biggest threat to life on earth today.

Question 80

Select the option that can be used as a one-word substitute for the given group of words.

A large bedroom for a number of people in a school or institution.

CAT Averages, Ratios & Proportions

CAT Logarithms, Surds & Indices