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Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series. AB_KPC_HKPEBH_PGBHK_
Option 1: CDGP
Option 2: HBKP
Option 3: CPHB
Option 4: HDGP
Correct Answer: HBKP
Solution : Given: AB_KPC_HKPEBH_PGBHK_
To fill the series we have to divide the series – AB_KP / C_HKP / EBH_P / GBHK_ Let's check each option – First option: CDGP; ABCKP / CDHKP / EBHGP / GBHKP (No repeated
Question : A prism has a regular hexagonal base with a side of 6 cm. If the total surface area of the prism is 216$\sqrt3$ cm2, then what is the height (in cm) of the prism?
Option 1: $3\sqrt3$
Option 2: $6\sqrt3$
Option 3: $6$
Option 4: $3$
Correct Answer: $3\sqrt3$
Solution : Given: Side, $a$ = 6 cm Let the height be $h$. Area of the base of the hexagonal prism $=6 \times \frac{\sqrt3}{4}a^2=6 \times \frac{\sqrt3}{4} \times 6^2 = 54\sqrt3$ Total curved surface area of prism = 2 × (Area of base) + 6 × (Side of
Question : Select the INCORRECTLY spelt word.
Option 1: Reasonable
Option 2: Laughable
Option 3: Blessed
Option 4: Prophane
Correct Answer: Prophane
Solution : The correct choice is the fourth option.
The incorrectly spelt word is prophane. The correct spelling is profane. It means "showing disrespect or contempt for sacred things".
The meanings of the other options are as follows:
Question : The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is:
Option 1: 65
Option 2: 95
Option 3: 105
Option 4: 115
Correct Answer: 95
Solution : Given: The average of the three numbers is 135. The largest number is 195. According to the question, Let the smallest number be x then the other number will be (x + 20). The sum of number = 135 × 3 = 405 Now, 195
Question : Which of the following Articles of the Indian Constitution prohibits forced labour and prevents exploitation?
Option 1: Article 20
Option 2: Article 19
Option 3: Article 25
Option 4: Article 23
Correct Answer: Article 23
Solution : The correct answer is Article 23.
Article 23 of the Indian Constitution prohibits forced labour and trafficking. It states that no person shall be subjected to forced labour, and the state is mandated to prohibit human trafficking and forced labour while allowing compulsory
Question : If $\cos \theta+\sec \theta=\sqrt{3}$, then the value of $\cos ^3 \theta+\sec ^3 \theta$ is:
Option 1: $0$
Option 2: $\frac{1}{\sqrt{3}}$
Option 3: $\sqrt{3}$
Option 4: $2 \sqrt{3}$
Correct Answer: $0$
Solution : Given, $\cos \theta+\sec \theta=\sqrt{3}$ Cubing both sides, we get, $⇒\cos^3\theta + \sec^3\theta+3\cdot\cos\theta\cdot\sec\theta(\cos \theta+\sec \theta)=3\sqrt3$ ⇒ $\cos^3\theta+\sec^3\theta+3\times 1(\sqrt3)=3\sqrt3$ [$\because \cos\theta=\frac{1}{\sec\theta}$] ⇒ $\cos^3\theta+\sec^3\theta+3\sqrt3=3\sqrt3$ ⇒ $\cos^3\theta+\sec^3\theta=0$ Hence, the correct answer is $0$.
Question : Sanjay and Rohan can complete a work in 8 days and 12 days, respectively. Starting with Sanjay, they work on alternate days. In how many days will the work be completed?
Option 1: $8 \frac{1}{2}$
Option 2: $9 \frac{1}{2}$
Option 3: $9 \frac{2}{3}$
Option 4: $9 \frac{1}{3}$
Correct Answer: $9 \frac{1}{2}$
Solution : Time taken by Sanjay to complete the work = 8 days Part of work done by Sanjay in a day = $\frac{1}{8}$ Time taken by Rohan to complete the work = 12 days Part of work done by Rohan in a day = $\frac{1}{12}$
Question : Select the sentences that contain no spelling errors.
Option 1: My mother asked me to purchase two bread knives having serrated edges.
Option 2: My mother asked me to purchase two bread knives having seerated edges.
Option 3: My mother asked me to purchase two bread knives having serratted edges.
Option 4: My mother asked me to purchase two bread knives having serated edges.
Correct Answer: My mother asked me to purchase two bread knives having serrated edges.
Solution : The correct option is the first option.
Explanation The sentence is well-structured and uses the correct spelling for each word, conveying the clear message that your mother wants you to buy two knives specifically
Question : Select the most appropriate meaning of the given idiom.
At the eleventh hour
Option 1: Time for debate
Option 2: Very late in the evening
Option 3: A state of confusion
Option 4: Just before the deadline
Correct Answer: Just before the deadline
Solution : The fourth option is correct.
This idiom is derived from the biblical parable of the labourers in the vineyard, where workers were hired throughout the day, but those hired at the eleventh hour received the same payment as the others. Over time,
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 46, 50, 58, 70, 86, 106, ?
Option 1: 280
Option 2: 130
Option 3: 150
Option 4: 140
Correct Answer: 130
Solution : Given: 46, 50, 58, 70, 86, 106, ?
Add multiples of 4 to the previous number to get the next number. 46 + 4 = 50; 50 + 8 = 58; 58 + 12 = 70; 70 + 16 = 86; 86 + 20 =
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