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Question : The following bar graph shows the sales of books (in thousands) from six branches of a publishing company during two consecutive years 2018 and 2019. What is the average sales of all the branches (in thousands) for the year 2018?
Option 1: 84
Option 2: 78
Option 3: 80
Option 4: 86
Correct Answer: 80
Solution : Average sales of all the branches (in thousands) for the year 2018 = $\frac{80+75+95+85+75+70}{6}$ = $\frac{480}{6}$ = 80 Hence, the correct answer is 80.
Question : Which is the most powerful river in the world in terms of its volume and extensive drainage into the Atlantic Ocean?
Option 1: Congo
Option 2: Amazon
Option 3: Amur
Option 4: Nile
Correct Answer: Amazon
Solution : The correct answer is Amazon.
The Amazon River has the highest discharge volume of any river in the world. The Amazon River is found on the South American continent. It is the largest drainage system in the world in terms of the volume of
Question : How much percentage should a racer increase speed to reduce the time by 20% to cover a fixed distance?
Option 1: 25%
Option 2: 30%
Option 3: 40%
Option 4: 35%
Correct Answer: 25%
Solution : We know, $\text{Speed}=\frac{\text{Distance}}{{\text{Time}}}$ $\text{Speed}\propto\frac{\text{1}}{{\text{Time}}}$ If the distance remains constant, then speed is inversely proportional to time. If the time is reduced by 20%, the new time is 80% (or 0.8 times) of the original time. Since speed is inversely proportional to time, the new speed
Question : Two chords AB and CD of a circle meet inside the circle at point P. If AP = 12 cm, AB = 20 cm, and CP = 16 cm, find CD.
Option 1: 22 cm
Option 2: 15 cm
Option 3: 21 cm
Option 4: 24 cm
Correct Answer: 22 cm
Solution : Given: AB = 20 cm, AP = 12 cm, and CP = 16 cm Also, AB = AP + PB ⇒ 20 cm = 12 cm + PB ⇒ PB = 8 cm We know, AP × PB = CP × PD By substituting
Question : Directions: In the following question, some parts of the sentence may have some 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".
Good heavens! (1) / How has she (2) / grown! (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The sentence, How she has grown! is grammatically accurate in terms of word order to express amazement at someone's growth or development since it is an exclamatory sentence and not an interrogative sentence.
Therefore, the
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
Mahesh's attitude annoyed me and I blew into.
Option 1: annoyed me and I blew over
Option 2: annoyed me and I blew off
Option 3: annoyed me and I blew down of
Option 4: annoyed me and I blew up
Correct Answer: annoyed me and I blew up
Solution : The fourth option is the correct choice.
The phrasal verb blow up means to lose one's temper. The expression blew up is in its past form and is the only option that makes sense in this context.
Therefore, the correct
Question : Syrinx is the voice box in:
Option 1: Amphibians
Option 2: Reptiles
Option 3: Birds
Option 4: Mammals
Correct Answer: Birds
Solution : The correct option is - Birds.
Syrinx is the voice-producing organ found in birds. It is located at the base of the trachea where the trachea splits into the bronchi. Unlike mammals, which have a larynx (voice box) located higher up in the throat, birds
Question : Comprehension:
Read the given passage and answer the questions that follow.
Florence Nightingale came from a rich family and was very pretty. In her family, young girls usually spent their time going to parties until they married rich young men. But Florence found parties boring and she wanted to be a nurse. So, she went to study nursing in a hospital in Germany. Then she was in charge of a nursing home for women in London. Soon she was asked to go to Crimea to take charge of the wounded soldiers there. Finally, when she was 30, her parents accepted her decision.
Question:
What was Florence's main interest and ambition in life?
Option 1: To attend parties with other young women
Option 2: To marry a rich, young man and settle down in life
Option 3: To become a nurse and serve people
Option 4: To attend parties with rich, young men
Correct Answer: To become a nurse and serve people
Solution : The correct choice is the third option.
Florence Nightingale's main interest and ambition in life was to become a nurse. She was more passionate about nursing than following the usual social expectations of her family's affluent background.
Question : The length of a cuboid is thrice of its breadth and the height of a cuboid is twice its breadth. If the breadth of the cuboid is 6 cm, then what is the total surface area of the cuboid?
Option 1: 844 cm2
Option 2: 708 cm2
Option 3: 762 cm2
Option 4: 792 cm2
Correct Answer: 792 cm2
Solution : Given, Breadth ($b$) = 6 cm ⇒ Length ($l$) = 3b = 18 cm ⇒ Height ($h$) = 2b = 12 cm $\therefore$ Total surface area = $2(lb+bh+hl)$ Substituting the values, we get, ⇒ Total surface area = 2(18 × 6 + 6
Question : If $3 \sin x+4 \cos x=2$, then the value of $3 \cos x – 4 \sin x$ is equal to:
Option 1: $\sqrt{23}$
Option 2: $\sqrt{21}$
Option 3: $\sqrt{29}$
Option 4: $21$
Correct Answer: $\sqrt{21}$
Solution : Given: $3 \sin x+4 \cos x=2$ (equation 1) Let $3 \cos x–4 \sin x=k$ (equation 2) We know the trigonometric identity, $\sin^2 x+ \cos^2 x=1$. Squaring the equation and adding them together, $(3 \cos x–4 \sin x)^2+(3 \sin x+4 \cos x)^2=k^2+2^2$ ⇒ $9 \cos^2 x+16
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