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Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? ?, 11, 35, 107, 323
Option 1: 4
Option 2: 5
Option 3: 8
Option 4: 3
Correct Answer: 3
Solution : Given: ?, 11, 35, 107, 323
Here, the pattern is as follows – (11 × 3) + 2 = 33 + 2 = 35; (35 × 3) + 2 = 105 + 2 = 107; (107 × 3) + 2 = 321 + 2 =
Question : In the Union Budget 2023-24, the Government of India has decided to establish 500 new waste-to-wealth plants under the_______scheme.
Option 1: Waste to Wonder
Option 2: GOBAR se GARV
Option 3: GOBARdhan
Option 4: Kachra se Khazana
Correct Answer: GOBARdhan
Solution : The correct answer is GOBARdhan.
Under the GOBARdhan (Galvanising Organic Bio-Agro Resources Dhan) programme, 500 new "waste to wealth" units will be built to advance the circular economy. At a total expenditure of Rs. 10,000 crores, these will comprise 200 compressed biogas (CBG) facilities,
Question : Which of the following cultural tourism destinations is located on the banks of River Betwa?
Option 1: Datia
Option 2: Ujjain
Option 3: Orchha
Option 4: Mandu
Correct Answer: Orchha
Solution : The correct option is Orchha.
The cultural tourism destination on the banks of the river Betwa is Orchha. Orchha is a town in the Tikamgarh district of Madhya Pradesh, India, and it is known for its historical monuments, palaces, and temples. The Betwa River
Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You must consider the two statements true even if they seem at variance from commonly known facts. You have to decide which conclusions, if any, follow from the given statements. Statements: I. Some human creatures are angels. II. All doctors are angels. Conclusions: I. Some human creatures are doctors. II. Some doctors are human creatures.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Either I or II follows
Option 4: Neither I nor II follows
Correct Answer: Neither I nor II follows
Solution : According to the given statements, the following Venn diagram can be drawn –
Let's analyse the conclusions – Conclusion I: Some human creatures are doctors – From the above diagram, there is no direct relation between human creatures and doctors.
Question : At a certain rate of interest per annum, compounded annually, a certain sum of money amounts to two times itself in 11 years. In how many years will the sum of money amount to four times itself at the previous rate of interest per annum, also compounded annually?
Option 1: 20 years
Option 2: 5.5 years
Option 3: 22 years
Option 4: 33 years
Correct Answer: 22 years
Solution : Present value = $P(1+\frac{r}{100})^n$, where $P$ is the principal, $r$ is the annual interest rate and $n$ is the time in years. Let the sum of money be $P$ and the interest rate is $r$. The amount after 11 years is, $2P=P(1+\frac{r}{100})^{11}$ ⇒ $(1+\frac{r}{100})=2^{\frac{1}{11}}$
Question : Select the appropriate adverb for the underlined word in the sentence.
He led me to the room that had obvious been built later than the rest of the house.
Option 1: Obliviously
Option 2: Obliviousness
Option 3: Obviousness
Option 4: Obviously
Correct Answer: Obviously
Solution : The correct choice is the fourth option.
Obviously is an adverb of manner. It means something is really apparent and easily understood. In this context, it helps convey that the other person led the speaker to the room that was built later than the
Question : If $\sin A=\frac{1}{2}$, then the value of $(\tan A+\cos A)$ is:
Option 1: $\frac{2}{3 \sqrt{3}}$
Option 2: $\frac{3}{2 \sqrt{3}}$
Option 3: $\frac{5}{2 \sqrt{3}}$
Option 4: $\frac{5}{3 \sqrt{3}}$
Correct Answer: $\frac{5}{2 \sqrt{3}}$
Solution : Given: $\sin A=\frac{1}{2}$ ⇒ $\sin A=\sin 30^\circ$ ⇒ $ A= 30^\circ$ $\therefore (\tan A+\cos A)$ = $(\tan 30^\circ+\cos 30^\circ)$ = $\frac{1}{\sqrt3}+\frac{\sqrt3}{2}$ = $\frac{2+3}{2\sqrt3}$ = $\frac{5}{2\sqrt3}$ Hence, the correct answer is $\frac{5}{2\sqrt3}$.
Question : A 9-digit number $846523X7Y$ is divisible by 9 and $Y - X = 6$. Find the value of $\sqrt{2X+4Y}$.
Option 2: 2
Option 3: 6
Option 4: 8
Correct Answer: 6
Solution : Given number = $846523X7Y$ Sum of digits = $35+X+Y$ Maximum value of $35+ X+Y = 35+18=53$ Minimum value of $35+X+Y = 35$ For a number to be divisible by 9, the sum of digits of the number should be divisible by 9. So, the sum
Question : If 6A = 4B = 9C; what is A : B : C?
Option 1: $6:4:9$
Option 2: $9:4:6$
Option 3: $4:9:6$
Option 4: $6:9:4$
Correct Answer: $6:9:4$
Solution : Given: 6A = 4B = 9C Let 6A = 4B = 9C = $k$ ⇒ A = $\frac{k}{6}$, B = $\frac{k}{4}$, and C = $\frac{k}{9}$ ⇒ A : B : C = $\frac{k}{6}:\frac{k}{4}:\frac{k}{9}$ LCM of (6, 4, and 9) = 36 = $\frac{k}{6}×36:\frac{k}{4}×36:\frac{k}{9}×36=6:9:4$ ⇒ A
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative in case no improvement is needed your answer is (4).
Seeing that she is very tired, I walked out of room and let her sleep.
Option 1: 1
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The correct choice is the second option.
It changes the verb tense from the simple present tense "is" to the simple past tense "was" to match the past tense action of the main clause i.e., "I walked out of the room". This makes the sentence
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