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Question : The area of a square is 100 sq. cm. Find the length (in cm) of its diagonal.
Option 1: $10\sqrt{2}$
Option 2: $10$
Option 3: $20\sqrt{2}$
Option 4: $20$
Correct Answer: $10\sqrt{2}$
Solution : The area of a square is given by the formula $A = s^2$, where $s$ is the length of a side. Given that the area is 100 sq. cm. $s = \sqrt{A} = \sqrt{100} = 10 \text{ cm}$ The length of the diagonal $d$ of
Question : If $x$ is subtracted from each of the numbers 20, 37, 54 and 105, then the numbers so obtained in this order are in proportion. What is the mean proportional between $(7 x-5)$ and $(x+1) $?
Option 1: 8
Option 2: 9
Option 3: 6
Option 4: 12
Correct Answer: 8
Solution : If $x$ is subtracted from each of the numbers 20, 37, 54 and 105, then the numbers so obtained in this order are in proportion. So, $\frac{(20-x)}{(37-x)} = \frac{(54-x)}{(105-x)}$ $⇒[(20-x)(105-x)]=[(54-x)(37-x)]$ $⇒34x=102$ $⇒x = 3$ The mean proportional between $(7x-5)$ and $(x+1)$ is the square root
Question : Directions: Select the option figure in which the given figure (X) is embedded as its part. (Rotation is not allowed.)
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As there is a restriction on the rotation of the figure, we will check where the question figure can exactly fit itself in the given option figures. By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.
Question : In a circle, the length of a chord is 30 cm. The perpendicular distance of the chord from the centre of the circle is 8 cm. Find the diameter of the circle.
Option 1: 28 cm
Option 2: 34 cm
Option 3: 17 cm
Option 4: 30 cm
Correct Answer: 34 cm
Solution : Let AB be the chord and O be the center of the circle. Also, OP is perpendicular to AB In $\triangle$ OPB, OB2 = PB2 + OP2 ⇒ OB2 = 152 + 82 ⇒ OB2 = 225
Question : Who was the pioneer of the western system of education in India ?
Option 1: Dayanand Saraswati
Option 2: Lala Lajpat Rai
Option 3: Raja Ram Mohan Roy
Option 4: Surendranath Bannerjee
Correct Answer: Raja Ram Mohan Roy
Solution : Correct Answer is Raja Ram Mohan Roy
The remarkable changes Raja Ram Mohan Roy brought about in India during the 18th and 19th centuries have earned him the title, "father of the modern Indian Renaissance." Roy worked hard to spread among his
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.
In ancient times, Hieun Tsang, a Chinese traveller came to India during the (1)______ of King Harsha. He praised the Indians (2)______ 'people with pure moral principles’. In 2014, India (3)______ 85th in the corruption perception index of the Transparency International. What (4)______ downfall! Isn’t it ironical that we Indians (5)______ by the ideals of honesty and integrity, self-denial and (6)______ but in practice willingly resort to the (7) ______ forms of corruption to promote our interests? The (8)______ of corruption is eating into the (9) ______ of our society and we have become helpless (10)______ of our own degradation.
Question:
Select the most appropriate option to fill in the blank no. 10.
Option 1: onlookers
Option 2: visionaries
Option 3: sorcerers
Option 4: performers
Correct Answer: onlookers
Solution : The correct choice is the first option.
Onlookers mean a non-participating observer; a spectator. It helps convey the intended meaning corruption is eating away the society and we have become a helpless audience of our own degradation.
Question : Directions: If 6 @ 4 @ 7 = 101 and 2 @ 5 @ 11 = 150, then what is the value of A in A @ 8 @ 9 = 289?
Option 1: 5
Option 2: 8
Option 3: 12
Option 4: 17
Correct Answer: 12
Solution : Given: 6 @ 4 @ 7 = 101, 2 @ 5 @ 11 = 150
Use the following operations in place of the given symbols @. Like, 6 @ 4 @ 7 = 101 i = 62 + 42 + 72 =
Question : Who among the following founded the Kalakshetra Foundation in Chennai which is an important centre for the study and performance of fine arts?
Option 1: Rukmini Devi Arundale
Option 2: Yamini Krishnamurthy
Option 3: Mrinalini Sarabhai
Option 4: Alarmel Valli
Correct Answer: Rukmini Devi Arundale
Solution : The correct answer is Rukmini Devi Arundale.
Kalakshetra Foundation, formerly known as Kalakshetra, is an esteemed arts and cultural academy situated in Chennai, India. Established in January 1936 by Rukmini Devi Arundale and George Arundale, the foundation is devoted to preserving traditional
Question : Gross primary deficit is equal to ____________.
Option 1: difference between gross fiscal deficit and interest payments
Option 2: difference between total expenditure and total receipts
Option 3: difference between net borrowings and net capital receipts
Option 4: difference between revenue deficit and capital expenditure
Correct Answer: difference between gross fiscal deficit and interest payments
Solution : The correct answer is the difference between the gross fiscal deficit and interest payments.
Gross primary deficit refers to the difference between the fiscal deficit of the current year and interest payments made on previous borrowings. It displays
Question : Raja borrowed INR 15,000 on simple interest at the rate of 13% per annum and lent it on compound interest at the rate of 15% per annum, compounded annually. What is Raja's gain in two years?
Option 1: INR 1,080.00
Option 2: INR 1,125.00
Option 3: INR 937.50
Option 4: INR 865.50
Correct Answer: INR 937.50
Solution : Given: Raja borrowed INR 15,000 on simple interest at the rate of 13% per annum and lent it on compound interest at the rate of 15% per annum, compounded annually. We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}=\frac{15000\times 13\times 2}{100}=$ INR 3,900
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