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Question : The wire of flashbulbs is made up of
Option 1: Magnesium
Option 2: Barium
Option 3: Copper
Option 4: Silver
Correct Answer: Magnesium
Solution : The correct option is Magnesium.
The wire in flash bulbs is made of magnesium (Mg). When an electric current passes through the magnesium wire, it rapidly oxidizes, producing an intense burst of light. This combustion reaction is highly exothermic and provides the brief and intense
Question : Select the option that can be used as a one-word substitute for the given group of words. Formal forgiveness of a person’s sins.
Option 1: Ablutions
Option 2: Absolution
Option 3: Absolutism
Option 4: Forgiveness
Correct Answer: Absolution
Solution : The correct option is the second option.
Explanation: Absolution refers to the formal forgiveness granted by a religious authority for a person's sins. It is often part of religious rituals like confession in Christianity. The meanings of the other options are as follows:
Question : A certain sum becomes Rs. 1,050 in 5 years and Rs. 1,230 in 8 years at simple interest. What is the sum?
Option 1: Rs. 950
Option 2: Rs. 700
Option 3: Rs. 650
Option 4: Rs. 750
Correct Answer: Rs. 750
Solution : Given: A certain sum becomes Rs. 1,050 in 5 years and Rs. 1,230 in 8 years at simple interest. So, simple interest for 3 years = 1230 – 1050 = 180 $\therefore$ simple interest for 5 years = $\frac{180}{3}$ × 5 = 300 So,
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 can't allow you to make jokes in the class.
(1) cut
(2) crack
(3) break
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : In the original sentence, the verb "make" is used, meaning to create or produce jokes. However, a more suitable verb is "crack," which means to tell or share jokes.
Therefore, the sentence should read, "I can't allow you to crack jokes in the class."
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
He is a weak student and somehow pulled over the exams.
Option 1: pulled through
Option 2: pulled down
Option 3: pulled up
Option 4: pulled together
Correct Answer: pulled through
Solution : The correct choice is the second option.
The phrase pulled through is used to express successfully overcoming a difficult situation, which fits the context of exams. It conveys the idea that, despite being a weak student, the person managed to succeed or pass the
Question : If $x=a\cos\theta + b\sin\theta$ and $y=b\cos\theta-a\sin\theta$, then $x^{2}+y^{2}$ is equal to:
Option 1: $ab$
Option 2: $a^2+b^2$
Option 3: $a^2-b^2$
Option 4: $1$
Correct Answer: $a^2+b^2$
Solution : Given: $x=a\cos\theta + b\sin\theta$ and $y=b\cos\theta-a\sin\theta$ To find: $x^{2}+y^{2}$ Putting the value of $x$ and $y$, we get $(a\cos\theta+b\sin\theta)^{2}+(b\cos\theta-a\sin\theta)^{2}$ $(a^2\cos^2\theta+b^2\sin^2\theta+2×a\cos\theta×b\sin\theta)+(b^2\cos^2\theta+a^2\sin^2\theta-2×b\cos\theta×a\sin\theta)$ $=a^2\cos^2\theta + b^2\sin^2\theta+b^2\cos^2\theta+a^2\sin^2\theta$ $=a^2(\cos^2\theta+sin^2\theta)+b^2(sin^2\theta+\cos^2\theta)$ We know that, $(sin^2\theta+\cos^2\theta)=1$ Thus, $a^2(1)+b^2(1)$= $a^2+b^2$ Hence, the correct answer is $a^2+b^2$.
Question : Directions: The bar graph given below shows the production (in tonnes) of rice in a country for the years 2007 to 2011. Study the graph carefully and answer the questions given below.
What is the average production of rice per year from 2009 to 2011? (in tonnes)
Option 1: 700
Option 2: 550
Option 3: 860
Option 4: 900
Correct Answer: 700
Solution : The average production of rice per year from 2009 to 2011 = $\frac{540+720+840}{3}$ = $\frac{2100}{3}$ = 700 tonnes Hence, the correct answer is 700.
Question : Directions: Which number will replace the question mark (?) in the given series? 61, 73, 99, 141, 201, (?)
Option 1: 281
Option 2: 261
Option 3: 269
Option 4: 244
Correct Answer: 281
Solution : Given: 61, 73, 99, 141, 201, (?)
The pattern is as follows –
So, the required number in the series is 281. Hence, the first option is correct.
Question : Directions: Which of the following letters will replace the question mark (?) and complete the following letter series? Q, O, M, K, I, G, ?
Option 1: D
Option 2: F
Option 3: G
Option 4: E
Correct Answer: E
Solution : Given: Q, O, M, K, I, G, ?
Subtract 2 to the place value of each letter to get the next letter of the series. Q – 2 = O; O – 2 = M; M – 2 = K; K – 2 = I;
Question : Select the option that corrects the misspelt words in the given sentence. A number of measres have been sugested by her.
Option 1: A number of measrues have been sugessted by her.
Option 2: A number of measures have been sujjested by her.
Option 3: A number of measures have been suggested by her.
Option 4: A number of mesures have been suggested by her.
Correct Answer: A number of measures have been suggested by her.
Solution : The right choice is the third option.
In the given sentence, there are two misspelt words. These words, with their correct spelling and meanings, are as follows:
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