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Question : What is the value of the given expression? $\frac{4^{a + 4}- 5 \times 4^{a + 2}}{15 \times 4^a - 2^2 \times 4^a}$
Option 1: 16
Option 2: 64
Option 3: 20
Option 4: 24
Correct Answer: 16
Solution : $\frac{4^{a+ 2}(4^{2} - 5 \times 1)}{4^{a}(15 - 4)}$ $=\frac{4^{a + 2}(11)}{4^{a}(11)}$ $=\frac{4^{a}\times4^{2}(11)}{4^{a}(11)}$ $=4^2$ $=16$ Hence, the correct answer is 16.
Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No error'. Why is your friend giving me weird looks?
Option 1: weird looks?
Option 2: giving me
Option 3: Why is your friend
Option 4: No error
Correct Answer: No error
Solution : The correct choice is the fourth option.
The given sentence is a question inquiring about the reason behind someone's friend's strange or unusual facial expressions.
Therefore, the given sentence is structured properly, and it contains no errors.
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. TABLE : FNEEY :: CROWN : OYRVH :: BEAUTY : ?
Option 1: YTUEJH
Option 2: YTUAEB
Option 3: ZVXEJH
Option 4: ZUVBFC
Correct Answer: ZVXEJH
Solution : Given: TABLE : FNEEY :: CROWN : OYRVH :: BEAUTY : ?
For TABLE : FNEEY –
Likewise, for CROWN : OYRVH –
Similarly, follow the same pattern for BEAUTY –
So, ZVXEJH is coded as BEAUTY. Hence, the third option is correct.
Question : Cereals are a rich source of
Option 1: starch
Option 2: glucose
Option 3: fructose
Option 4: maltose
Correct Answer: starch
Solution : The correct option is starch.
Cereals are the richest source of carbohydrates and dietary fibre. They can also be a source of important nutrients like fibre, vitamins, and minerals. Some common cereal grains include wheat, rice, corn (maize), oats, barley, and rye. Starch is
Question : Parts of the following sentence have been given as options. Select the option that contains an error. The team of scientists were conducting experiments to test their hypothesis.
Option 1: experiments to test
Option 2: The team of scientists
Option 3: their hypothesis
Option 4: were conducting
Correct Answer: were conducting
Solution : The error lies in the fourth option.
Explanation: The subject in this sentence is team, not scientists. The team is a collective noun treated as a single unit; therefore, it takes a singular verb. Even though there are multiple scientists in the team,
Question : Let $x=\frac{5 \frac{3}{4}-\frac{3}{7} \times 15 \frac{3}{4}+2 \frac{2}{35} \div 1 \frac{11}{25}}{\frac{3}{4} \div 5 \frac{1}{4}+5 \frac{3}{5} \div 3 \frac{4}{15}}$. When $y$ is added to $x$, the result is $\frac{7}{13}$. What is the value of $y$?
Option 1: $\frac{1}{13}$
Option 2: $\frac{9}{13}$
Option 3: $\frac{2}{13}$
Option 4: $\frac{4}{13}$
Correct Answer: $\frac{4}{13}$
Solution : $x=\frac{5 \frac{3}{4}-\frac{3}{7} \times 15 \frac{3}{4}+2 \frac{2}{35} \div 1 \frac{11}{25}}{\frac{3}{4} \div 5 \frac{1}{4}+5 \frac{3}{5} \div 3 \frac{4}{15}}$ $⇒x=\frac{\frac{23}{4}-\frac{3}{7} \times \frac{63}{4}+\frac{72}{35} \div \frac{36}{25}}{\frac{3}{4} \div \frac{21}{4}+\frac{28}{5} \div \frac{49}{15}}$ $⇒x=\frac{\frac{23}{4}-\frac{3}{7} \times \frac{63}{4}+\frac{72}{35} \times \frac{25}{36}}{\frac{3}{4} \times \frac{4}{21} +\frac{28}{5} \times \frac{15}{49}}$ $⇒x=\frac{\frac{23}{4}- \frac{27}{4}+\frac{10}{7}}{\frac{1}{7}+\frac{12}{7}}$ $⇒x=\frac{\frac{3}{7}}{\frac{13}{7}}$ $⇒x=\frac{3}{13}$ Given that $x + y =
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select “No substitution”. For now on, all the salesmen will be paid a commission and not a salary.
Option 1: As of now on
Option 2: No substitution
Option 3: Since now on
Option 4: From now on
Correct Answer: From now on
Explanation The option, from now on, is the appropriate expression to indicate a starting point in time. It is a commonly used phrase to specify that a new practice or condition will begin at the
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).
Practically every part of the coconut tree is used by man.
(1) each
(2) most
(3) any
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
There is no improvement needed in the sentence.
The sentence is grammatically accurate and does not need any change. The sentence conveys the idea that nearly all parts of the coconut tree are utilised by humans.
The
Question : When a bond is formed between two atoms, the energy of the system will
Option 1: increase
Option 2: decrease
Option 3: remains the same
Option 4: may increase or decrease
Correct Answer: remains the same
Solution : The correct option remains the same.
When a bond is formed between two atoms, the energy of the system may indeed remain the same, especially in processes where energy is conserved. This typically happens in reactions where the energy released during bond
Question : Which region has the maximum concentration of iron and steel industries in India?
Option 1: Deccan Plateau
Option 2: Malwa Plateau
Option 3: Chota Nagpur plateau
Option 4: Chhattisgarh Plateau
Correct Answer: Chota Nagpur plateau
Solution : The correct option is Chota Nagpur Plateau.
The region with the maximum concentration of iron and steel industries in India is the Chota Nagpur Plateau, specifically in the states of Jharkhand, Chhattisgarh, and Odisha. This region is rich in mineral resources, particularly
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