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Question : A hemispherical bowl has an internal radius of 6 cm. The internal surface area would be: (Take $\pi =3.14$)
Option 1: 225 cm2
Option 2: 400 cm2
Option 3: 289.75 cm2
Option 4: 226.08 cm2
Correct Answer: 226.08 cm2
Solution : Given: Internal radius, $r$ = 6 cm. Internal surface area of hemispherical bowl = $2\pi r^2$ = 2 × 3.14 × 6 × 6 = 226.08 cm2 Hence, the correct answer is 226.08 cm2.
Question : If $\tan (\alpha+\beta)=\sqrt{3}, \tan (\alpha-\beta)=1$ where $(\alpha+\beta)$ and $(\alpha-\beta)$ are acute angles, then what is $\tan$ $(6 \alpha) ?$
Option 1: $-1$
Option 2: $0$
Option 3: $1$
Option 4: $\sqrt{2}-1$
Correct Answer: $-1$
Solution : Given: $\tan (\alpha+\beta)=\sqrt{3}=\tan 60^{\circ}$ $\tan (\alpha-\beta)=1=\tan 45^{\circ}$ ⇒ $\alpha+\beta=60^{\circ}$ and $\alpha-\beta=45^{\circ}$ ⇒ $2\alpha=105^{\circ}$ ⇒ $\alpha=\frac{105}{2}^{\circ}$ ⇒ $6\alpha=6×\frac{105}{2}^{\circ}=315^{\circ}$ Now, $\tan 6\alpha$ = $\tan 315^{\circ}$ = $\tan (360^{\circ}-45^{\circ})$ = $-\tan45^{\circ}$ = $-1$ Hence, the correct answer is $-1$.
Question : Directions: In a certain code language, heart black blue is written as 8 # ab, grey are blue is written as # pr kt. How will blue be written in that language?
Option 1: ab
Option 2: pr
Option 3: #
Option 4: 8
Correct Answer: #
Solution : Given: 1. heart black blue is written as 8 # ab; 2. grey are blue is written as # pr kt; In statements 1 and 2, both have blue in common, and in coding # is common.
So, blue will be coded as
Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following symbols. If + means ÷, ÷ means –, – means ×, × means +, then 24 + 8 ÷ 2 – 6 × 6 = ?
Option 1: –10
Option 2: –3
Option 3: 12
Option 4: 21
Correct Answer: –3
Solution : Given: + means ÷, ÷ means –, – means ×, × means +. 24 + 8 ÷ 2 – 6 × 6 = ?
After interchanging the symbols according to the question, the equation becomes – = 24 ÷ 8 – 2 × 6 +
Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.
(A) between the two countries
(B) will inevitably count
(C) the recent political incident
(D) against the peace process
Option 1: CDBA
Option 2: CDAB
Option 3: CBAD
Option 4: CABD
Correct Answer: CABD
Solution : The fourth option is the correct choice.
Part (C) tells about the recent political incident, followed by part (A), which specifies that it is between the two countries. It is followed by part (B), which says that it will inevitably count against the peace process,
Question : Select the most appropriate synonym of the given word. Profit
Option 1: Benefit
Option 2: Debt
Option 3: Payment
Option 4: Loss
Correct Answer: Benefit
Solution : The correct option is the first option.
Explanation: Benefit aligns closely with profit, as it refers to a gain or advantage obtained from something.
The meanings of the other options are as follows:
Question : "Agricultural census" is conducted in India at an interval of:
Option 1: six years
Option 2: five years
Option 3: four years
Option 4: ten years
Correct Answer: five years
Solution : The correct option is five years.
The agricultural census in India is conducted at an interval of five years. This census provides comprehensive and detailed information on various aspects of agriculture, including land use, cropping patterns, irrigation and livestock, among others. The data
Question : Directions: M & K means M is the mother of K. M # K means M is the father of K. M @ K means M is the husband of K. M% K means M is the daughter of K. If A & C @ R, then how is R related to A?
Option 1: Husband's father
Option 2: Mother
Option 3: Son's wife
Option 4: Daughter
Correct Answer: Son's wife
Solution : Given: M & K means M is the mother of K. M # K means M is the father of K. M @ K means M is the husband of K. M% K means M is the daughter of K. A & C @
Question : The famous Khajuraho Group of Monuments is in which state?
Option 1: Uttar Pradesh
Option 2: Madhya Pradesh
Option 3: Rajasthan
Option 4: Maharashtra
Correct Answer: Madhya Pradesh
Solution : The correct option is Madhya Pradesh.
In Madhya Pradesh, Chhatarpur district, there are several Hindu and Jain temples collectively known as the Khajuraho Group of Monuments. It was constructed in the Middle Ages by the Chandela Dynasty. They are listed on the UNESCO World
Question : Comprehension: In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
After a rejection, we tend to beat ourselves up over the things that might have (1)___________ us to be rejected—and might even end up dwelling on these negative (2)__________ a process called rumination. This habit, however, inevitably causes us to (3)_________ worse. "The first thing a lot of people do when they get rejected is to be unkind to (4)___________, and they start coming up with all kinds of ideas about what's (5)_________ with them," Gottlieb notes.
Question: Select the most appropriate option to fill in the blank no. 5.
Option 1: strong
Option 2: taming
Option 3: syncing
Option 4: wrong
Correct Answer: wrong
Solution : The fourth option is correct.
Wrong is the most appropriate option to fill in the blank, as it fits in the context of the sentence. Grammatically, "wrong" is an adjective that describes something that is not correct or accurate.
The meanings of the other words
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