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Question : The least value of $\tan^2x+\cot^2x$ is:
Option 1: 3
Option 2: 2
Option 3: 0
Option 4: 1
Correct Answer: 2
Solution : The value will be minimum when $x = 45°$ Minimum value $= \tan^2x+\cot^2x=\tan^245°+\cot^245°=1+1=2$ Hence, the correct answer is 2.
Question : Select the option that can be used as a one-word substitute for the given group of words.
A person who does not believe that God or Gods exist.
Option 1: Irreverent
Option 2: Atheist
Option 3: Profane
Option 4: Blasphemous
Correct Answer: Atheist
Solution : The correct one-word substitute is the second option.
An atheist is a person who does not believe in the existence of God. This is the most suitable one-word substitute for the given group of words.
The meanings of the other options are as follows:
Irreverent:
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 14 × 8 + 64 ÷ 32 – 2 = 88
Option 1: 8 and 32; × and +
Option 2: 14 and 2; × and +
Option 3: 8 and 2; – and ÷
Option 4: 32 and 64; + and ÷
Correct Answer: 8 and 2; – and ÷
Solution : Given: 14 × 8 + 64 ÷ 32 – 2 = 88
Let's check each option – First Option: 8 and 32; × and + On interchanging the mathematical signs and numbers, we get – 14 + 32 × 64
Question : The Kuchipudi dance form originated in which of the following states of India?
Option 1: Uttar Pradesh
Option 2: Kerala
Option 3: Assam
Option 4: Andhra Pradesh
Correct Answer: Andhra Pradesh
Solution : The correct answer is Andhra Pradesh.
Kuchipudi is one of the major Indian classical dances. It originated in a village named Kuchipudi in the Indian state of Andhra Pradesh. Kuchipudi's origins can be traced back to the third century BCE, giving it a
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. Malaysia : Kuala Lumpur :: Bhutan : ?
Option 1: Dhaka
Option 2: Islamabad
Option 3: Kathmandu
Option 4: Thimphu
Correct Answer: Thimphu
Solution : Given: Malaysia : Kuala Lumpur :: Bhutan : ?
Like, Kuala Lumpur is the capital of Malaysia. Similarly, the capital of Bhutan is Thimphu.
Hence, the fourth option is correct.
Question : BE and CF are two altitudes of a triangle ABC. If AB = 6 cm, AC = 5 cm, and CF = 4 cm. Then, the length of BE is:
Option 1: 4.8 cm
Option 2: 7.5 cm
Option 3: 3.33 cm
Option 4: 5.5 cm
Correct Answer: 4.8 cm
Solution : Given: BE and CF are two altitudes of a triangle ABC. Where AB = 6 cm, AC = 5 cm and CF = 4 cm Area of $\triangle ABC = \frac{1}{2}\times AB\times CF= \frac{1}{2}\times AC\times BE$ $⇒\frac{1}{2}\times 6\times 4= \frac{1}{2}\times 5\times BE$ $⇒BE =
Question : Class 10, consisting of 40 students, took a science test. 30 students had an average score of 95. The other students had an average score of 85. What is the average score of the whole class?
Option 1: 92.3
Option 2: 92.5
Option 3: 92.4
Option 4: 92.2
Correct Answer: 92.5
Solution : Given: 30 students had an average score of 95. The other students had an average score of 85. The total score of 30 students = (95 × 30) = 2850 The total score of the other students = 85 × (40 – 30) = 850
Question : Which of the following is the highest gravity dam in India?
Option 1: Hirakund Dam
Option 2: Bhakra Dam
Option 3: Sardar Sarovar Dam
Option 4: Mettur Dam
Correct Answer: Bhakra Dam
Solution : The correct option is Bhakra Dam.
The Bhakra Dam is one of the largest and oldest dams in the country. This dam is nearly 226 metres high. The Bhakra Dam is located on the Sutlej River in the northern state of Himachal Pradesh.
Question : In the given sentence the underlined word may have been incorrectly spelt. Identify the option that rectifies the spelling. If there is no error in spelling, select ‘No error’.
Siraz-ud-Daula beseiged Calcutta to take punitive actions against the East India Company.
Option 1: besiezed
Option 2: besiejed
Option 3: besieged
Option 4: No error
Correct Answer: besieged
Solution : The correct choice is the third option.
Besieged is the correct spelling because the vowel "i" should be followed by "e". It means surrounding with the intention of attacking or gaining control over it.
Question : Directions: In the following question, select the related number from the given alternatives. 4 : 1024 :: 7 : ?
Option 1: 343
Option 2: 2401
Option 3: 16807
Option 4: 196
Correct Answer: 16807
Solution : Given: 4 : 1024 :: 7 : ?
45 = 1024 Similarly, 75 = 16807
Hence, the third option is correct.
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