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Question : An equilateral triangle has sides of 18 cm each. The ratio of the inradius to circumradius of the triangle is:
Option 1: 2 : 1
Option 2: 3 : 2
Option 3: 3 : 4
Option 4: 1 : 2
Correct Answer: 1 : 2
Solution : Inradius of equilateral triangle = $\frac{\text{Side}}{2\sqrt{3}}$ Circumradius of equilateral triangle = $\frac{\text{Side}}{\sqrt{3}}$ Required ratio = $\frac{\frac{\text{Side}}{2\sqrt{3}}}{\frac{\text{Side}}{\sqrt{3}}}$ ⇒ Required ratio = 1 : 2 Hence, the correct answer is 1 : 2.
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.
We know infinitely (1)________ about the wealthy people of Egypt than we do about the ordinary people, as most monuments were made for the rich. Houses in which ordinary Egyptians lived have not been preserved, and when most people died they were (2)_______ in simple graves. Most of our traditional sources of information (3)_______ the Old Kingdom are monuments of the rich (4)_______ pyramids and tombs. Even papyri come mainly from pyramid temples. (5) ________ this does not mean that death was the Egyptians’ only preoccupation. Select the most appropriate option to fill in blank no. 3.
Option 1: on
Option 2: off
Option 3: about
Option 4: at
Correct Answer: about
Solution : The correct choice is the third option.
Explanation: In the context of the passage, the sentence discusses traditional sources of information regarding the Old Kingdom in Egypt. The word "about" is used to indicate the subject matter of these sources.
The correct sentence is: "Most
Question : Directions: In a code language, GROUP is written as ETMWN, and PACTED is written as NCAVCF. How will LIONS be written in that language?
Option 1: JKMPQ
Option 2: JKNPR
Option 3: JKNOQ
Option 4: JGMPR
Correct Answer: JKMPQ
Solution : Given: GROUP is written as ETMWN and PACTED is written as NCAVCF.
Subtract and add 2 alternatively to the place value of each letter of GROUP and PACTED to get the required codes.
So, GROUP is written as ETMWN.
So, PACTED is written as NCAVCF.
Question : Directions: Arrange the given words in the sequence in which they occur in a dictionary. 1. Globe 2. Group 3. Glitch 4. Gap 5. Glade
Option 1: 4, 2, 3, 5, 1
Option 2: 4, 5, 3, 2, 1
Option 3: 4, 3, 1, 2, 5
Option 4: 4, 5, 3, 1, 2
Correct Answer: 4, 5, 3, 1, 2
Solution : Given: 1. Globe 2. Group 3. Glitch 4. Gap 5. Glade
Step 1: Compare the first letter of each word. Since all the words start with the same letter G, move to the next letter. Step 2: The second letter
Question : Directions: Which of the following letters will replace the question mark (?) in the given series? H, J, L, N, P, R, T, ?
Option 1: M
Option 2: T
Option 3: V
Option 4: R
Correct Answer: V
Solution : Given: H, J, L, N, P, R, T, ?
In the above-given series, add 2 to the place value of each letter. H + 2 = J; J + 2 = L; L + 2 = N; N + 2 = P; P + 2
Question : A car travels 80 km in 2 hours, and a train travels 180 km in 3 hours. The ratio of the speed of the car to that of the train is:
Option 1: 2 : 3
Option 4: 4 : 3
Correct Answer: 2 : 3
Solution : Given: The car travels 80 km in 2 hours. The train travels 180 km in 3 hours. Speed of the car =$\frac{\text{Distance}}{\text{Time}}$ = $\frac{80}{2}$ km/hr = 40 km/hr Speed of the train = $\frac{\text{Distance}}{\text{Time}}$ = $\frac{180}{3}$ km/hr = 60 km/hr The ratio of
Question : Malavikagnimitram, a drama of the 5th century CE, was written by ___________.
Option 1: Pingala
Option 2: Kalidasa
Option 3: Harisena
Option 4: Bhavabhuti
Correct Answer: Kalidasa
Solution : The correct option is Kalidasa.
The drama "Malavikagnimitram" was written by the ancient Indian playwright Kalidasa. He is considered one of the greatest poets and dramatists in Sanskrit literature, and "Malavikagnimitram" is one of his notable works. The play revolves around the love story
Question : Insufficient exposure to sunlight causes deficiency of which vitamin?
Option 1: Vitamin E and K
Option 2: Vitamin A
Option 3: Vitamin D
Option 4: Vitamin C
Correct Answer: Vitamin D
Solution : The correct answer is Vitamin D.
The human body primarily produces vitamin D through sunlight exposure on the skin, making it an essential nutrient. Vitamin D deficiency, known as the "sunshine vitamin" deficit, can occur due to insufficient sunlight, poor diet, or darker
Question : Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required'.
One of the baby elephants broke off from the herd and lost its way.
Option 1: No improvement required
Option 2: in
Option 3: down
Option 4: away
Correct Answer: away
Solution : The correct choice is the fourth option.
In the context of the sentence, away is the right choice to indicate that the elephant physically distanced itself from the herd. Away implies that the baby elephant moved in a direction away from the herd. It effectively
Question : What is the value of x in the number 3426x if the number is divisible by 6 but NOT divisible by 5?
Option 1: 3
Option 2: 4
Option 3: 6
Option 4: 8
Correct Answer: 6
Solution : Since the number 3426x is not divisible by 5, x cannot be equal to 5 or 0. As the number 3426x is divisible by 6, it is divisible by 2 and 3. Hence, x can be an even number. i.e., 2 or 4 or 6
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