Question : If $\tan A = n\tan B$ and $\sin A=m \sin B$, then the value of $\cos^{2}A$ is:

Option 1: $\frac{m^{2}-1}{n^{2}+1}$

Option 2: $\frac{m^{2}+1}{n^{2}-1}$

Option 3: $\frac{m^{2}+1}{n^{2}+1}$

Option 4: $\frac{m^{2}-1}{n^{2}-1}$

Question : The price of a shirt after a 15% discount is Rs. 119. What was the marked price of the shirt before the discount?

Option 1: Rs. 129

Option 2: Rs. 150

Option 3: Rs. 140

Option 4: Rs. 160

Question : Gelena is a mineral of

Option 1: Iron

Option 2: Gold

Option 3: Lead

Option 4: Calcium

Question : Select the most appropriate option to fill in the blank.

We _______ off old clothes and bought new ones for Diwali.

Option 1: cost

Option 2: coast

Option 3: caste

Option 4: cast

Question : If the length of each of two equal sides of an isosceles triangle is 10 cm and the adjacent angle is $45^{\circ}$, then the area of the triangle is:

Option 1: $20\sqrt{2}$ sq. cm

Option 2: $12\sqrt{2}$ sq. cm

Option 3: $25\sqrt{2}$ sq. cm

Option 4: $15\sqrt{2}$ sq. cm

Question : A Sphygmomanometer measures the blood pressure in the

Option 1: Veins

Option 2: Arteries

Option 3: Eyes

Option 4: Synovial

Question : S and T are points on the sides PQ and PR, respectively, of $\triangle$PQR such that PS × PR = PQ × PT. If $\angle$Q = 96° and $\angle$PST = $\angle$PRQ + 34°, then $\angle$QPR = ?

Option 1: 24°

Option 2: 25°

Option 3: 22°

Option 4: 26°

Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Can we see (1)________ the earth is a globe? Yes, we can, when we watch a ship that sails out to sea, if we watch closely, we see that the ship begins to (2)________. The bottom of the ship disappears first, and then the ship seems to sink lower and lower, (3)________ we can only see the top of the ship, and then we see nothing at all. What is hiding the ship from us? It is the earth. Stick a pin most of the way into an orange, and (4)________ turn the orange away from you. You will see the pin disappear, (5)________ a ship does on the earth.

Select the most appropriate option to fill in blank no. 2.

Option 1: being disappeared

Option 2: disappear

Option 3: have disappeared

Option 4: having disappeared

Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.

The working of the stomach was (1) _____ by a strange accident. In 1822, a man named Alexis St. Martin was (2) _____ hit by a shotgun. The bullet had seriously (3) _____ the chest wall and made a hole in (4)_____ stomach. He was brought to an American army (5) _____ William Beaumont. The doctor saved the patient but he (6) ______ not close the hole properly. Beaumont took it as a (7) ______ opportunity to see the inside of the stomach (8) ______ the hole. He made some wonderful observations. Beaumont (9) ______ that the stomach was churning food. Its wall secreted a fluid (10) ______ could digest the food. He also observed that the end of the stomach opens into the intestine only after the digestion of the food inside the stomach is completed.

Question:

Select the most appropriate option to fill in the blank No. 1.

Option 1: discover

Option 2: discovered

Option 3: discovering

Option 4: to be discovered

Question : Which of the following statement(s) is/are TRUE?
I. The total number of positive factors of 72 is 12.
II. The sum of the first 20 odd numbers is 400.
III. The largest two-digit prime number is 97.

Option 1: Only I and II

Option 2: Only II and III

Option 3: Only I and III

Option 4: All are true.