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Question : If AB = 5 cm, AC = 12 cm, and AB$\perp$ AC, then the radius of the circumcircle of $\triangle ABC$ is:
Option 1: 6.5 cm
Option 2: 6 cm
Option 3: 5 cm
Option 4: 7 cm
Correct Answer: 6.5 cm
Solution : Given: $AB = 5$ cm; $AC = 12$ cm and $AB \perp AC$ $BC$ = Diameter In $\triangle ABC$, $BC = \sqrt{AB^2 + AC^2}$ $BC = \sqrt{5^2 + 12^2} = \sqrt{25 + 144}$ $BC = \sqrt{169} = 13 \;cm$ $\therefore OB$ is the radius
Question : Directions: Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term. TBA : SZX :: KRB : JPY :: GOT : ?
Option 1: FNQ
Option 2: FMR
Option 3: FMQ
Option 4: FNR
Correct Answer: FMQ
Solution : Given: TBA : SZX :: KRB : JPY :: GOT : ?
Subtract 1, 2 and 3 from the place value of the first, second and third letters, to obtain the required code – Like, TBA : SZX→T – 1 = S; B – 2
Question : Directions: Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All oceans are oil. All oils are milk. All milk is water. Conclusions: I. Some water is milk. II. All milk is ocean.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Neither conclusion I nor II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions – Conclusion I: Some water is milk – From the Venn diagram, it is evident that some parts of the circle representing water lie inside
Question : Directions: Which two signs should be interchanged to make the given equation correct? 13 + 145 ÷ 29 × 52 – 11 = 106
Option 1: – and ×
Option 2: × and +
Option 3: ÷ and –
Option 4: ÷ and +
Correct Answer: × and +
Solution : Given: 13 + 145 ÷ 29 × 52 – 11 = 106
Let's check the options – First option: – and × 13 + 145 ÷ 29 – 52 × 11 = 106 On solving the L.H.S. of the given equation – =
Question : Select the option that can be used as a one-word substitute for the given group of words. Photographers who follow celebrities to get their pictures to sell them
Option 1: Paparazzi
Option 2: Reporter
Option 3: Editor
Option 4: Interviewer
Correct Answer: Paparazzi
Solution : The correct choice is the first option.
The term paparazzi refers to photographers who follow celebrities, often aggressively, to capture their photographs in order to sell them to media outlets for publication.
The meanings of the other words:
Question : After which Indian musician was a minor planet located between Mars and Jupiter named by the International Astronomical Union (IAU)?
Option 1: Pandit Hari Prasad Chaurasia
Option 2: Pandit Ravi Shankar
Option 3: Ustad Zakir Hussain
Option 4: Pandit Jasraj
Correct Answer: Pandit Jasraj
Solution : The correct answer is Pandit Jasraj.
Pandit Jasraj was an Indian classical vocalist. The International Astronomical Union (IAU) has named the minor planet 2006 VP32 (number -300128) after Pandit Jasraj. The minor planet 2006 VP32 was discovered on 11th November 2006. The minor planet
Question : If the sum of two quantities is equal to three times their difference, then the ratio of the two quantities is:
Option 1: 1 : 3
Option 2: 3 : 1
Option 3: 2 : 1
Option 4: 2 : 3
Correct Answer: 2 : 1
Solution : Let the numbers be $x$ and $y$. The sum of the number is $x + y$. Three times the difference be $3(x-y)$. According to the given conditions, $x + y = 3 (x - y)$ $⇒ x + y = 3x - 3y$
Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: All R is M. All L is M. Conclusions: I. Some M is not R. II. Some L is R. III. Some M is L.
Option 1: Both conclusions II and III follow
Option 2: Only conclusion III follows
Option 3: Both conclusions I and III follow
Option 4: Neither conclusion follows
Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some M is not R – From the above diagram, all R is M so there is a possibility that some M
Question : The Jaina literature is known as
Option 1: Tripitakas
Option 2: Epics
Option 3: Aryasutras
Option 4: Angas
Correct Answer: Angas
Solution : The Correct Answer is Angas
The sacred books of the Jain religion are collectively referred to as Agams. The tirthankara's discourse served as the basis for 45 sacred Jain texts known as angas (also spelled agamas). Based on Mahavira's teachings, they are considered to be
Question : A hostel mess requires 217 eggs for a week. How many eggs will it require in total for the months of July, August and September?
Option 1: 2821
Option 2: 2883
Option 3: 2852
Option 4: 2790
Correct Answer: 2852
Solution : The months of July, August, and September have 31, 31, and 30 days respectively. That's a total of 92 days. Since a week has 7 days, the total number of weeks in these three months is $\frac{92}{7}$ weeks. Therefore, the hostel mess will require 217
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