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Question : The lengths of two parallel sides of a trapezium are 15 cm and 20 cm. If its area is 175 cm2, then its height is:
Option 1: 15 cm
Option 2: 10 cm
Option 3: 20 cm
Option 4: 25 cm
Correct Answer: 10 cm
Solution : The area of a trapezium, A = $\frac{1}{2}$ × h × (a + b), where h is the height, and a and b are the lengths of the parallel sides. We have, a = 15 cm, b = 20 cm, and A = 175
Question : Select the most appropriate option to fill in the blank.
A person must speak eloquently and ______ while making a speech.
Option 1: rudely
Option 2: politely
Option 3: hurriedly
Option 4: disrespectfully
Correct Answer: politely
Solution : The correct choice is the second option.
Politely means something that is done in a respectful and considerate manner. This helps convey the intended meaning that a person must speak fluently and respectfully while making a speech.
The meanings of the other options are
Question : The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 5 : 3 : 10 is:
Option 1: 20°
Option 2: 30°
Option 3: 50°
Option 4: 70°
Correct Answer: 70°
Solution : Given: The angles are in the ratio of 5 : 3 : 10. Let the angles be 5$x$, 3$x$, and 10$x$. We know, 5$x$ + 3$x$ + 10$x$ = 180° ⇒ 18$x$ = 180° $\therefore x$ = 10° Largest angle = 10$x$ = 10 ×
Question : Which of the following molecules or ions involved in the nitrogen cycle do not contain oxygen atoms?
Option 1: Nitrite
Option 2: Ammonia
Option 3: Nitrate
Option 4: Laughing gas
Correct Answer: Ammonia
Solution : The correct answer is Ammonia.
Chemically, ammonia has one atom of nitrogen and three atoms of hydrogen. It is chemically abbreviated as NH3. So, it does not contain any oxygen atoms. Ammonia is a colourless gas with a sharp, pungent, and suffocating
Question : ISRO successfully launched the communication satellite GSAT-24 from _____________.
Option 1: Moscow in Russia
Option 2: Chicago in the US
Option 3: Berlin in Germany
Option 4: Kourou in French Guiana
Correct Answer: Kourou in French Guiana
Solution : The correct answer is Kourou in French Guiana.
ISRO successfully launched the communication satellite GSAT-24 from the Kourou in French Guiana on 23 June 2022. It is an overseas region and department of France in South America. Kourou is famous for
Question : A person took a loan at 5% per annum simple interest during the first year and with an increase of 0.5% simple interest every year from the second year onwards. After 4 years, he paid INR 4,600 as a total interest to settle the loan completely. How much was the loan?
Option 1: INR 20,000
Option 2: INR 19,000
Option 3: INR 18,000
Option 4: INR 21,000
Correct Answer: INR 20,000
Solution : Given: The loan is given at 5% per annum simple interest during the first year and with an increase of 0.5% simple interest every year from the second year onwards. Time = 4 years Let the loan amount be $x$. Total interest earned =
Question : Select the correct passive form of the given sentence. He writes a paper every weekend.
Option 1: A paper is written by him every weekend.
Option 2: A paper is been written by him every weekend.
Option 3: A paper was been written by him every weekend.
Option 4: A paper was written by him every weekend.
Correct Answer: A paper is written by him every weekend.
Solution : The correct answer is the first option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in
Question : The HCF of two numbers is 17 and the other two factors of their LCM are 11 and 19. The smaller of the two numbers is:
Option 1: 209
Option 2: 187
Option 3: 323
Option 4: 306
Correct Answer: 187
Solution : HCF = 17 LCM = 11 × 17 × 19 ⇒ Smaller number = 17 $\times$ 11 = 187 Hence, the correct answer is 187.
Question : Select the correct active voice for the given sentence. Panic has been caused by the sudden lockdown.
Option 1: The sudden lockdown is causing panic.
Option 2: The sudden lockdown is the cause of panic.
Option 3: The sudden lockdown has caused panic.
Option 4: Panic is being caused by the sudden lockdown.
Correct Answer: The sudden lockdown has caused panic.
Solution : The correct choice is the third option.
Active voice is a form of sentence construction where the subject of the sentence performs the action stated by the verb. In the original sentence, the subject (panic) is receiving the action.
Question : Monty paid a simple interest of INR 480 on a particular sum after 2 years. The rate was 8% per annum. Find the sum.
Option 1: INR 2200
Option 2: INR 2000
Option 3: INR 3000
Option 4: INR 2500
Correct Answer: INR 3000
Solution : Let the principal amount be $P$. Time, $T$ = 2 years Rate of Interest, $R$ = 8% per annum Interest gained = INR 480 Now, we know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ $⇒480=\frac{P\times 8\times 2}{100}$ $\therefore P=3000$ Hence, the correct answer
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