Question : The most productive ecosystem in the biosphere is:

Option 1: Desert

Option 2: Open Ocean

Option 3: Estuary

Option 4: Tundra

Question : The area of the parallelogram whose length is 30 cm, width is 20 cm and one diagonal is 40 cm is:

Option 1: $200\sqrt{15}\text{ cm}^{2}$

Option 2: $100\sqrt{15}\text{ cm}^{2}$

Option 3: $300\sqrt{15}\text{ cm}^{2}$

Option 4: $150\sqrt{15}\text{ cm}^{2}$

Question : If $a^3=117+b^3$ and $a=3+b$, then the value of $(a+b)$ is:

Option 1: $\pm 7$

Option 2: $\pm 49$

Option 3: $\pm 13$

Option 4: $0$

Question : If $8 \cot A = 7$, then find $\sin A$.

Option 1: $\frac{7}{15}$

Option 2: $\frac{8}{\sqrt{113}}$

Option 3: $\frac{7}{8}$

Option 4: $\frac{8}{7}$

Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).

I want to admit in a university in the US.

(1) go

(2) enter

(3) enrol

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : Comprehension:
In the given 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.

In August every year, thousands of twins descend on a town in Ohio called Twinsburg, named by identical twin brothers 1.________ two centuries ago. The Twins Days Festival is a three-day 2.________ consisting of talent shows and look-alike 3.__________ that has become one of the world's 4.___________ gatherings of twins. There have been 5.____________festivals in Nigeria, a country where 1 in 22 births to the Yoruba people 6.____________ twins, identical or fraternal, which is a much higher 7. ___________than anywhere else in the world. This has been 8.___________ to the eating of yams, but the theory is 9.__________ Biomedical researchers attend these events, regarding them as a 10.____________ opportunity to conduct surveys and experiments.

Question:
Select the most appropriate option to fill in the blank No. 9.

Option 1: suspected

Option 2: disputed

Option 3: projected

Option 4: accepted

Question : Directions: Select the correct mirror image of the given combination when the mirror is placed at PQ as shown below.

Option 1:

Option 2:

Option 3:

Option 4:

Question : Select the most appropriate synonym of the given word.

Transgression

Option 1: Violation

Option 2: Success

Option 3: Virtue

Option 4: Metamorphosis

Question : The substrate of photorespiration is:

Option 1: Fructose

Option 2: Pyruvic acid

Option 3: Glycolate

Option 4: Glucose

Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the given pair of words.
(The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)
Thermometer : Temperature

Option 1: Glucometer : Measure

Option 2: Odometer : Car

Option 3: Oximeter : Oxygen level of blood

Option 4: Pedometer : Bone Fractures