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Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. The man who / was committed / the theft last night / was caught this evening.
Option 1: was caught this evening.
Option 2: was committed
Option 3: The man who
Option 4: the theft last night
Correct Answer: was committed
Solution : The correct choice is the second option.
Explanation: In the original sentence, "was committed" creates a passive construction, which implies that someone else committed the man to the act of theft. To rectify this error, the sentence needs to use the active voice
Question : The value of 7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] is:
Option 1: $7$
Option 2: $\frac{7}{2}$
Option 3: $-7$
Option 4: $-\frac{7}{2}$
Correct Answer: $-7$
Solution : 7 ÷ [5 + 1 ÷ 2 – {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] = 7 ÷ [5 + 1 ÷ 2 – {4 + (8 ÷ 4) + (5 ÷ 10)}] = 7 ÷ [5 + 1
Question : If $4^{(x+y)} = 256$ and $(256)^{(x–y)} = 4$, what are the values of $x$ and $y?$
Option 1: $\frac{17}{8}$ and $\frac{15}{8}$
Option 2: $\frac{17}{4}$ and $\frac{15}{4}$
Option 3: $\frac{9}{17}$ and $\frac{15}{17}$
Option 4: $\frac{8}{17}$ and $\frac{8}{15}$
Correct Answer: $\frac{17}{8}$ and $\frac{15}{8}$
Solution : Given: $4^{(x+y)}=256$ ⇒ $4^{(x+y)} = 4^4$ ⇒ $x+y = 4$ ⇒ $x = 4-y$-----(1) And $(256)^{(x-y)}=4$ ⇒ $(4^4)^{(x-y)}=4^1$ ⇒ $4x-4y =1$-----(2) Putting the value of $x$ from equation (1), we get, $4(4-y)-4y = 1$ ⇒ $16-4y-4y =1$ $\therefore y =\frac{15}{8}$ Now, substituting the
Question : Directions: Bhanu is the sister of Chirag. Aryan is the father of Bhanu. Chirag is the brother of Dewan. Dewan is the husband of Esha. How is Esha related to Aryan?
Option 1: Daughter
Option 2: Sister
Option 3: Niece
Option 4: Daughter-in-law
Correct Answer: Daughter-in-law
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above family tree, Esha is the daughter-in-law of Aryan. Hence, the fourth option
Question : On simple interest, a sum of Rs. 640 becomes Rs. 832 in 2 years. What will Rs. 860 become in 4 years at the same rate of interest?
Option 1: Rs. 1,250
Option 2: Rs. 1,376
Option 3: Rs. 1,426
Option 4: Rs. 1,150
Correct Answer: Rs. 1,376
Solution : Principal = Rs. 640 Simple Interest = 832 – 640 = Rs. 192 Time = 2 years Since simple interest = $\frac{\text{Principal × Time × Rate}}{100}$ ⇒192 = $\frac{\text{640 × 2 × Rate}}{100}$ ⇒ Rate = 15% Now, for Rs. 860 as principal for
Question : What is the peculiar character of allochromatic minerals?
Option 1: These minerals are coloured due to impurities.
Option 2: These minerals are naturally-coloured minerals without any impurities.
Option 3: These minerals are naturally colourless minerals.
Option 4: These minerals are colourless and very explosive.
Correct Answer: These minerals are coloured due to impurities.
Solution : The correct option is These minerals are coloured due to impurities.
Minerals known as allochromatic minerals get their colour from trace elements or impurities in the material. These impurities can take the place of specific elements in the crystal
Question : Directions: Select the number that will replace the question marks (?) in the following series. 28, ?, ?, 69, 88, 111, 140, 171
Option 1: 39, 52
Option 2: 38, 50
Option 3: 29, 52
Option 4: 39, 59
Correct Answer: 39, 52
Solution : Given: 28, ?, ?, 69, 88, 111, 140, 171
Add the consecutive prime numbers starting from 11 to the previous term to obtain the next term. 28 + 11 = 39; 39 + 13 = 52; 52 + 17 = 69; 69 + 19
Question : What is the value of $\frac{5}{11}$ of $\frac{3}{7}+\frac{7}{11} \times \frac{55}{21}-\frac{8}{22} \div \frac{16}{33}$?
Option 1: $\frac{1088}{927}$
Option 2: $\frac{1027}{924}$
Option 3: $\frac{1811}{956}$
Option 4: $\frac{1029}{945}$
Correct Answer: $\frac{1027}{924}$
Solution : $\frac{5}{11}$ of $\frac{3}{7}+\frac{7}{11} \times \frac{55}{21}-\frac{8}{22} \div \frac{16}{33}$ $=(\frac{5}{11}\times\frac{3}{7})+\frac{7}{11} \times \frac{55}{21}-\frac{8}{22} \div \frac{16}{33}$ $=\frac{15}{77}+\frac{7}{11} \times \frac{55}{21}-\frac{8}{22} \times \frac{33}{16}$ $=\frac{15}{77}+\frac{5}{3}-\frac{3}{4}$ $=\frac{180+1540-693}{924}$ $=\frac{1720-693}{924}$ $=\frac{1027}{924}$ Hence, the correct answer is $\frac{1027}{924}$.
Question : Instead of dividing 391 cookies among 3 children A, B, C in the ratio $\frac{1}{5}:\frac{1}{4}:\frac{1}{8}$, it was divided into the ratio $5:4:8$. Who gains most and how many?
Option 1: A, 21 cookies
Option 2: B, 78 cookies
Option 3: C, 99 cookies
Option 4: C, 78 cookies
Correct Answer: C, 99 cookies
Solution : Case 1: A : B : C = $\frac{1}{5}:\frac{1}{4}:\frac{1}{8}$ LCM of 5, 4, and 8 is 40. So, A : B : C = $\frac{1}{5}×40:\frac{1}{4}×40:\frac{1}{8}×40$ = 8 : 10 : 5 Sum of A + B + C = 8 + 10 +
Question : Select the most appropriate ANTONYM of the given word.
Opulent
Option 1: Insolvent
Option 2: Flourishing
Option 3: Depressed
Option 4: Destitute
Correct Answer: Destitute
Solution : The correct choice is the fourth option.
Explanation:
Opulent is an adjective that describes a state of wealth, abundance, or luxury. The antonym destitute is used to describe a state of extreme poverty or lacking the basic necessities of life. Both words emphasise economic or
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