Question : D, E, and F are the midpoints of the sides BC, CA, and AB, respectively of a $\triangle ABC$. Then the ratio of the areas of $\triangle DEF$ and $\triangle ABC$ is:

Option 1: $\frac{1}{2}$

Option 2: $\frac{1}{4}$

Option 3: $\frac{1}{8}$

Option 4: $\frac{1}{16}$

Question : Directions: Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term.
24 : 2 :: 81 : 3 :: 375 : ?

Option 1: 15

Option 2: 5

Option 3: 9

Option 4: 7

Question : Directions: Select the option figure in which the given figure is embedded. (Rotation is not allowed).

Option 1:

Option 2:

Option 3:

Option 4:

Question : If in a $\triangle$ABC as drawn in the figure, AB = AC and $\angle$ACD = 130°, then $\angle$BAC is equal to:

Option 1: 60°

Option 2: 50°

Option 3: 70°

Option 4: 80°

Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".

He can be a basketball player since he is tall like a mule.

(1) He can be

(2) he is tall like a mule.

(3) No Error

(4)  a basketball player since

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error."

You will come (1) / to my sister's wedding tomorrow, (2) / isn't it? (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : Directions: If A ÷ B means that A is the brother of B, A × B means that A is the sister of B, and A – B means that A is the father of B then which of the following expressions shows that P is the father of R?

Option 1: P – Q × R

Option 2: P × Q – R

Option 3: P ÷ Q × R

Option 4: P – Q – R

Question : Comprehension:

Read the given passage and answer the questions that follow.

The sage of science, Einstein, was sitting in a depressive and pensive mood one evening. His eyes were brimming with tears. The pain was evident on his face. He peeped out of the window of his room. The sun had set a few minutes back. The sky was filled with a reddish glow. At this sunset, he felt that it was humanity that had sunk into devilish darkness and the reddish glow in the sky was the blood of humanity spilling all over the sky from earth. With tired steps, he walked back to his chair and settled down. It was the 9th of August 1945. Three days back, he had felt the same agony as if someone had torn him apart. He was deeply hurt and depressed when he heard on the radio that America had dropped an atomic bomb on the Japanese city, of Hiroshima. Today, within three days another bomb was dropped on another city, Nagasaki and lakhs of people had been killed.

He had heard that the blast released so much energy that it had paled all past destructions in comparison and death had played out a pitiable dance of destruction. The flames that broke out of the bomb were burning, melting, and exploding buildings. Scared of the heat of the bomb, people had jumped into lakes and rivers, but the water was boiling and the people too were burnt and killed. The animals in the water were already boiled to death. Animals, trees, herbs, and fragrant flowering plants were all turned into ashes. The atomic energy destruction had just not stopped there. It had entered the atmosphere there and had spread radiation that would affect people for generations to come and would also bring about destructive irreversible biological change in animals and plants.

As the news of the atomic attack reached Einstein, and he became aware of the glaring horror of the abuse of atomic energy, his distress and restlessness knew no bounds. He could not control himself and picked up his violin to turn his mind on to other things. While playing
the violin, he tried to dissolve his distress in its sad notes, but couldn’t. He was burning on the embers of destruction; his heart was filled with an ocean of agony and tears just continued streaming uncontrollably out of his eyes. Night had fallen. His daughter came up and asked
him to eat something as he had not taken anything for the last four days. His voice was restrained and he said, “I don’t feel like eating.”

He could not sleep that night. Lying down, he was thinking about how he had drawn the attention of the then-American President Roosevelt toward the destructive powers of an atomic bomb. He had thought that this would be used to scare Hitler and put an end to the barbarism that Hitler was up to. However, Roosevelt kept him in the dark and made false promises. Eventually, he abused Einstein’s equation of E = mc2 which resulted in destructive experiments. His actions had made science and scientists as murderers. Einstein kept on thinking for a long time. Eventually, he slipped into sleep. When he woke up at dawn, there was a new dawn in him too. The atomic threat had transformed his heart.

Question:

Select an appropriate title for the passage.

Option 1: War and Destruction

Option 2: Death in Hiroshima

Option 3: Einstein and his Violin

Option 4: Atom Bombs

Question : Susan can type 12 pages in 6 minutes. Mary can type 6 pages in 12 minutes, working together, how many pages can they type in 32 minutes?

Option 1: 80

Option 2: 65

Option 3: 70

Option 4: 75

Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".

He adviced me (1) / to join (2) / the computer course later in the year. (3) / No Error (4)

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4