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Question : Find the value of the following expression. $\frac{\left[\frac{5}{8}-\left\{\frac{3}{8}-\left(\frac{5}{8}-\frac{3}{8}\right)\right\}\right] \text { of } 8.8-1.2}{4 \frac{1}{6} \div 2.5 \times 2 \div \frac{1}{6} \text { of } 60+\left(\frac{3}{4}-\frac{3}{8}\right)}$
Option 1: $5 \frac{22}{43}$
Option 2: $3 \frac{23}{67}$
Option 3: $4 \frac{44}{85}$
Option 4: $4 \frac{4}{5}$
Correct Answer: $4 \frac{44}{85}$
Solution : Given: $\frac{\left[\frac{5}{8}-\left\{\frac{3}{8}-\left(\frac{5}{8}-\frac{3}{8}\right)\right\}\right] \text { of } 8.8-1.2}{4 \frac{1}{6} \div 2.5 \times 2 \div \frac{1}{6} \text { of } 60+\left(\frac{3}{4}-\frac{3}{8}\right)}$ = $\frac{\left[\frac{5}{8}-\left\{\frac{3}{8}-\left(\frac{2}{8}\right)\right\}\right] \text { of } 8.8-1.2}{ \frac{25}{6} \div 2.5 \times 2 \div 10+\left(\frac{3}{8}\right)}$ = $\frac{\left[\frac{5}{8}-{\frac{1}{8}}\right] \text { of } 8.8-1.2}{ \frac{25}{6\times 2.5} \times \frac{2}{10}+\frac{3}{8}}$
Question : Chabahar Port is developed by India in ___________.
Option 1: Thailand
Option 2: Iran
Option 3: Iraq
Option 4: Sri Lanka
Correct Answer: Iran
Solution : The correct answer is Iran.
Chabahar port is located in Iran and is jointly developed by India and Iran. It is a strategic port located in the Gulf of Oman, and it forms a point in the international shipping routes. It will allow India
Question : In a match, the average of runs scored by 7 players is 63. If the runs scored by 6 players are 130, 42, 24, 53, 45, and 54, then how many runs did the 7th player score?
Option 1: 93
Option 2: 90
Option 3: 85
Option 4: 87
Correct Answer: 93
Solution : Given: The average runs scored by 7 players = 63 ⇒ $\frac{\text{Total runs scored by 7 players}}{7}=63$ The runs scored by 6 players are 130, 42, 24, 53, 45, and 54. ⇒ $\frac{130+42+ 24+ 53+ 45+ 54+x{_7}}{7}=63$ [where $x{_7}$ are the runs scored by 7th
Question : If $x^{4}+\frac{1}{x^{4}}=119$, then the values of $x^{3}+\frac{1}{x^{3}}$ are:
Option 1: $\pm 10\sqrt{13}$
Option 2: $\pm \sqrt{13}$
Option 3: $\pm 16\sqrt{13}$
Option 4: $\pm 13\sqrt{13}$
Correct Answer: $\pm 10\sqrt{13}$
Solution : Given: $x^4+\frac{1}{x^4}=119$ Adding 2 on both sides, ⇒ $x^4+\frac{1}{x^4}+2=121$ ⇒ $(x^2+\frac{1}{x^2})^2=121$ ⇒ $(x^2+\frac{1}{x^2})=11,-11$ Since, $(x^2+\frac{1}{x^2})>0$, ⇒ $(x^2+\frac{1}{x^2})=11$ Adding 2 on both sides, ⇒ $x^2+\frac{1}{x^2}+2=13$ ⇒ $(x+\frac{1}{x})^2=13$ ⇒ $(x+\frac{1}{x})=\pm\sqrt{13}$ Cubing both sides, ⇒ $x^3+\frac{1}{x^3}+3(x)(\frac{1}{x})(x+\frac{1}{x})=\pm13\sqrt{13}$ ⇒ $x^3+\frac{1}{x^3}+3(\pm\sqrt{13})=\pm13\sqrt{13}$ ⇒ $x^3+\frac{1}{x^3}=\pm10\sqrt{13}$ Hence, the correct answer is $\pm10\sqrt{13}$.
Question : A dozen pairs of socks quoted at Rs. 80 are available at a discount of 10%. How many pairs of socks can be bought for Rs. 24?
Option 1: 4
Option 2: 5
Option 3: 3
Option 4: 6
Correct Answer: 4
Solution : Given: A dozen pairs of socks quoted at Rs. 80 are available at a discount of 10%. So, selling price is $80×\frac{90}{100}=72$ A dozen pairs of socks sold at Rs. 72. Price of 1 pair is $\frac{72}{12}=Rs. 6$ So, in Rs. 24, he gets $\frac{24}{6}=4$
Question : Select the most appropriate ANTONYM of the underlined word in the given sentence. Everyone feels that he is pompous, but I know the underlying truth that he is a man of great understanding and love.
Option 1: Modest
Option 2: Lofty
Option 3: Grandiose
Option 4: Haughty
Correct Answer: Modest
Solution : The first option is the correct answer.
In the context of the sentence, the word "pompous" suggests arrogance or excessive self-importance. "Modest" is the most suitable antonym because it denotes humility and a lack of arrogance, aligning with the idea that the person is not
Question : Select the option that expresses the given sentence in active voice. Nothing can be achieved without hard work.
Option 1: One has achieved nothing without hard work.
Option 2: One will achieve nothing without hard work.
Option 3: One could achieve nothing without hard work.
Option 4: One can achieve nothing without hard work.
Correct Answer: One can achieve nothing without hard work.
Solution : The fourth option is the correct answer.
Active voice is a sentence structure where the subject performs the action expressed by the verb. In the provided transformation, "one can achieve" replaces "nothing can be achieved" making the subject ("one")
Question : According to the Census 2011, the only Indian state having a negative decadal population growth rate between 2001-11 is:
Option 1: Nagaland
Option 2: Goa
Option 3: Sikkim
Option 4: Uttarakhand
Correct Answer: Nagaland
Solution : The correct option is Nagaland.
As of the 2011 Census, the Indian state of Nagaland experienced a negative decadal population growth rate between 2001 and 2011. Factors such as migration, fertility rates, and socio-economic conditions contribute to demographic changes, impacting the population dynamics of
Question : Select the option that expresses the given sentence in passive voice. The police had caught the thief on the day before yesterday.
Option 1: The thief has been caught by the police the day before yesterday.
Option 2: The thief had been caught by the police the day before yesterday.
Option 3: The thief was being caught by the police the day before yesterday.
Option 4: The thief had caught by the police the day before yesterday.
Correct Answer: The thief had been caught by the police the day before yesterday.
Solution : The correct choice is the second option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active
Question : Directions: A paperboy cycles 10 km east, then turns south and cycles 3 km, then turns west and cycles 6 km, then turns to his right and cycles 3 km. Where is he now with reference to his starting position?
Option 1: 4 km west
Option 2: 14 km east
Option 3: 4 km east
Option 4: 14 km west
Correct Answer: 4 km east
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find distance and the final position with respect to the starting position –
The distance between starting position and end point = 10 – 6 = 4
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