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Question : Find the fourth proportion to 0.24, 0.6, and 20.
Option 1: 50
Option 2: 24
Option 3: 54
Option 4: 48
Correct Answer: 50
Solution : Assuming the fourth proportion is $x$. $0.24:0.6: : 20:x$ ⇒ $\frac{0.24}{0.6}$ = $\frac{20}{x}$ ⇒ $x$ = $\frac{20×0.6}{0.24}$ ⇒ $x$ = 50 Hence, the correct answer is 50.
Question : $2\ \text{cosec}^{2}\: 23°\cot^{2}67°-\sin^{2}23°-\sin^{2}67°-\cot^{2}67°$ is equal to:
Option 1: $1$
Option 2: $\sec^{2}23°$
Option 3: $\tan^{2}23°$
Option 4: $0$
Correct Answer: $\sec^{2}23°$
Solution : $2\ \text{cosec}^{2}\: 23°\cot^{2}67°-\sin^{2}23°-\sin^{2}67°-\cot^{2}67°$ $=2\: \frac{1}{\sin^{2}\: 23°}\tan^{2}23°-\sin^{2}23°-\cos^{2}23°-\tan^{2}23°$ $=2\: \frac{1}{\cos^{2}23°}-(\sin^{2}23°+\cos^{2}23°)-\frac{\sin^{2}23°}{\cos^{2}23°}$ $=2\: \frac{1}{\cos^{2}23°}-1-\frac{\sin^{2}23°}{\cos^{2}23°}$ $=\frac{2-\cos^2 23° - \sin^223°}{\cos^2 23°}$ $=\frac{2-1}{\cos^2 23°}$ $=\sec^2 23°$ Hence, the correct answer is $\sec^2 23°$.
Question : Select the most appropriate ANTONYM of the given word. Pernicious
Option 1: Malicious
Option 2: Wicked
Option 3: Injurious
Option 4: Compassionate
Correct Answer: Compassionate
Solution : The correct antonym is the fourth option: Compassionate.
Explanation for each option:
Malicious - This word is a synonym of "pernicious" and does not provide an appropriate antonym. Both words have a similar meaning of causing harm or being harmful.
Wicked - This word is
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Challenges are (1)___________ that knock on our door. It may sound difficult to (2)__________ the obstacles in our career but challenges are rewarding. If there were no challenges there would have been no (3)__________ on this planet. Every challenge poses an opportunity for those who like to put their (4)___________ to the fullest utilisation. Knowledge and (5)__________ is the key to overcome challenges.
Question: Select the most appropriate option to fill in the blank number 5.
Option 1: time
Option 2: gadget
Option 3: confidentiality
Option 4: patience
Correct Answer: patience
Solution : The correct choice is the fourth option.
The phrase knowledge and patience refers to the idea that possessing information, skills, and understanding, coupled with a specific attribute, is essential for overcoming challenges.
Question : With which of the following Indian states is the cultural festival of Bhagoria associated?
Option 1: West Bengal
Option 2: Bihar
Option 3: Madhya Pradesh
Option 4: Uttar Pradesh
Correct Answer: Madhya Pradesh
Solution : The correct answer is Madhya Pradesh.
The Bhagoria Festival is primarily observed in Madhya Pradesh and Maharashtra. This is one of the most ancient harvest celebrations, highly esteemed in areas such as Jhabua, Dhar, Alirajpur, and Khargone. The Bhil tribe of Madhya Pradesh
Question : Directions: Which two signs should be interchanged to make the given equation correct? 9 × 4 + 6 ÷ 3 – 5 = 39
Option 1: ÷ and –
Option 2: × and +
Option 3: – and +
Option 4: – and =
Correct Answer: – and +
Solution : Given: 9 × 4 + 6 ÷ 3 – 5 = 39
On interchanging the symbols as given in the options, we get – First option: ÷ and – 9 × 4 + 6 – 3 ÷ 5 = 39 Solving the L.H.S.
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
As the driver swerved violently at the turning, the wheel came off as it was already ______.
Option 1: lose
Option 2: lost
Option 3: loose
Option 4: loss
Correct Answer: loose
Solution : The correct choice is the third option.
Loose means not firmly or tightly fixed in place; detached or able to be detached. This is the correct answer, as it describes the condition of the wheel coming off.
The meanings of other options are as follows:
Question : The duration of the 12th Five-Year Plan was from _______ to ________.
Option 1: 2012 - 2017
Option 2: 1987 - 1992
Option 3: 2007 - 2012
Option 4: 1990 - 1995
Correct Answer: 2012 - 2017
Solution : The correct answer is 2012 - 2017.
The 12th Five-Year Plan is from 2012 to 2017. It aims at achieving a growth rate of 8%. It aims to reduce the poverty rate by 10% than the rate at the end of the
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Another farmer's cotton harvest increased from 10 quintals to 14 quintals (1)_____ using pesticides and fertilisers on the suggestion (2)_____ the local agriculture extension officer. "I (3)______ doubts as I was going for organic cotton for the (4)_____ time," he said, "but I saved eight thousand rupees per acre (5)____ costs." He sold his cotton for almost seven lakhs, (6)______ he wants to use for his daughter's studies and to (7)________ a new house. Another farmer said he's got the first (8)' ________ crop' of his life this year. The 53-year-old used to grow red gram on his (9)_______ field. "But thanks to a government project, my village tank is full, and I could (10)_________ paddy in the Rabi season." He reaped 66 quintals from his two acres.
Question: Select the most appropriate option to fill in the blank 4.
Option 1: next
Option 2: first
Option 3: last
Option 4: future
Correct Answer: first
Solution : The correct choice is the second option.
Using "first" in this sentence indicates that the speaker was experiencing doubts when trying organic cotton cultivation for the very first time. It implies a new experience or venture for the speaker, highlighting that the uncertainty or hesitation
Question : 25 men and 45 women can complete a piece of work in 15 days, while 15 men and 60 women can complete it in 20 days. In how many days can 69 men and 67 women complete the work?
Option 1: 10
Option 2: 5
Option 3: 8
Option 4: 6
Correct Answer: 6
Solution : According to the question, they complete the same work ⇒ M1D1 = M2D2 ⇒ (25M + 45W) × 15 = (15M + 60W) × 20 ⇒ (25M + 45W) × 3 = (15M + 60W) × 4 ⇒ 75M
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