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Question : The constitution of India was adopted on
Option 1: 26 January,1950
Option 2: 26 January,1949
Option 3: 26 November,1949
Option 4: 31 December,1949
Correct Answer: 26 November,1949
Solution : Correct Answer is 26 November,1949
In India, the day the Indian Constitution came into force is commemorated and celebrated as Republic Day. The Constitution establishes a parliamentary system of government and a federal system of government with some unitary components. This became the nation's
Question : Identify and correct the INCORRECTLY spelt word in the given sentence.
Successful people often have a role modal who inspired them to greatness.
Option 1: greatness
Option 2: successful
Option 3: inspired
Option 4: modal
Correct Answer: modal
Solution : The incorrectly spelt word in the sentence is the fourth option.
The correct spelling is model. In the context of the sentence, a "role model" refers to a person who serves as an example or inspiration for others.
The meanings of other options are as
Question : Which Charter Act brought to an end, the East India Company's monopoly in India's foreign trade ?
Option 1: Charter Act of 1853
Option 2: Charter Act of 1793
Option 3: Charter Act of 1813
Option 4: Charter Act of 1833
Correct Answer: Charter Act of 1813
Solution : The Correct Answer is Charter Act of 1813
This charter act from 1813 maintained the Crowns' control over the British companies in India. Trade in opium, tea, and goods from China persisted even after their monopoly over every other company was broken.
Question : A chord of length 48 cm is at a distance of 7 cm from the centre of the circle. What is the length of the chord of the same circle which is at a distance of 15 cm from the centre of the circle?
Option 1: 40 cm
Option 2: 45 cm
Option 3: 35 cm
Option 4: 42 cm
Correct Answer: 40 cm
Solution : The perpendicular from the centre of a circle to a chord bisects the chord. By Pythagoras theorem: Hypotenuse2 = Base2 + Perpendicular2 MP = PN = $\frac{\text{MN}}{2}$ = $\frac{48}{2}$ = 24 cm Distance from the centre as $d_{1}$ = 15 cm
Question : Direction: The following table shows the production of food grains (in million tonnes) in a state for the period 1999-2000 to 2003-2004. Read the table and answer the question.
In 2002-2003, the percentage increase in the production of barley as compared to the previous year was:
Option 1: 14.20%
Option 2: 17.85%
Option 3: 18.75%
Option 4: 7.90%
Correct Answer: 18.75%
Solution : Barley production in 2002–2003 = 380 million tonnes The previous year's production of barley = 320 million tonnes Increase in percentage = $\frac{\text{Current year – Previous year}}{\text{Previous year}}×100$ = $\frac{380-320}{320}×100$ = $\frac{60}{320}×100$ = 18.75% Hence, the correct answer is 18.75%.
Question : Simplify the following. $\frac{\sin^3 \alpha+\cos^3 \alpha}{\sin \alpha+\cos \alpha}$
Option 1: $1+\sin \alpha \cos \alpha$
Option 2: $\tan \alpha$
Option 3: $1-\sin \alpha \cos \alpha$
Option 4: $\sec \alpha$
Correct Answer: $1-\sin \alpha \cos \alpha$
Solution : $\frac{\sin^3 \alpha+\cos^3 \alpha}{\sin \alpha+\cos \alpha}$ = $\frac{(\sin \alpha+\cos \alpha)(\sin^2 \alpha+\cos^2 \alpha–\sin \alpha\cos \alpha)}{\sin \alpha+\cos \alpha}$ = $(1–\sin \alpha\cos \alpha)$ [$\because \sin^2 \alpha+\cos^2 \alpha=1]$ Hence, the correct answer is $(1–\sin \alpha\cos \alpha)$.
Question : $\cos^3 60°-\cos^3 240°-\cos^3 360°=$ _________.
Option 1: $-\frac{3}{4}$
Option 2: $-\frac{7}{5}$
Option 3: $-\frac{3}{5}$
Option 4: $-\frac{9}{7}$
Correct Answer: $-\frac{3}{4}$
Solution : Given: $\cos ^3 60°-\cos ^3 240°-\cos ^3 360°$ Now, $\cos60°=\frac{1}{2}$ $\cos240°=\cos(180°+60°)=-\cos60°=-\frac{1}{2}$ $\cos360°=\cos(360°+0°)=\cos0°=1$ So, $\cos^3 60°-\cos^3 240°-\cos^3 360°$ = $(\frac{1}{2})^3-(-\frac{1}{2})^3-(1)^3$ = $\frac{1}{8}+\frac{1}{8}-1$ = $-\frac{3}{4}$ Hence, the correct answer is $-\frac{3}{4}$.
Question : Read the sentence carefully and select the synonym of the underlined word from the given alternatives.
As the effect of anaesthesia dissipated the patient regained consciousness.
Option 1: Enhanced
Option 2: Heightened
Option 3: Returned
Option 4: Disappeared
Correct Answer: Disappeared
Solution : The fourth option is the correct choice.
In the given sentence, the word dissipated means to gradually disappear or fade away. Disappeared is a synonym that closely aligns with the meaning of dissipated. In the context of the sentence, it refers to the gradual
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. –1, 0, ?, 8, 15, 24
Option 1: 4
Option 2: 3
Option 3: 2
Option 4: 1
Correct Answer: 3
Solution : Given: –1, 0, ?, 8, 15, 24
Add consecutive odd numbers to the previous term to obtain the next term in the series – –1 + 1 = 0; 0 + 3 = 3; 3 + 5 = 8; 8 + 7 = 15; 15
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
The people of Japan are (wiser than those of America).
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The correct answer is the fourth option since the sentence is grammatically accurate and doesn't need any change. The sentence conveys the idea that Japanese people are wiser in comparison to their American counterparts.
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