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Question : If a2 + b2 = 82 and ab = 9, then a possible value of a3 + b3 is:
Option 1: 720
Option 2: 750
Option 3: 830
Option 4: 730
Correct Answer: 730
Solution : Given, a2 + b2 = 82 ab = 9 We know, (a + b)2 = a2 + b2 + 2ab ⇒ (a + b)2 = 82 + 2 × 9 ⇒ (a + b)2 = 100 ⇒ (a
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative. In case, no improvement is needed your answer is (4).
The judges remarked on the high standard of entries for the competition.
(1) remarked of
(2) remarked at
(3) remarked over
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
Remarked on is the appropriate phrase to express how the judges commented on the high standard of entries.
Therefore, the sentence is, "The judges remarked on the high standard of entries for the competition."
Question : Who has won the 'Miss Universe 2016' title?
Option 1: Pia Wurtzbach
Option 2: Iris Mittenaere
Option 3: Raquel Pellissier
Option 4: Andrea Tova
Correct Answer: Iris Mittenaere
Solution : The correct option is Iris Mittenaere
The winner of the Miss Universe 2016 title was Iris Mittenaere from France. She was crowned Miss Universe during the 65th Miss Universe pageant held in Manila, Philippines.
Question : The Chairman of the Public Accounts Committee of the Parliament is appointed by:
Option 1: Speaker of Lok Sabha
Option 2: Prime Minister of India
Option 3: President of India
Option 4: Chairman of Rajya Sabha
Correct Answer: Speaker of Lok Sabha
Solution : The correct answer is Speaker of Lok Sabha.
In India, the Speaker of the Lok Sabha appoints the Chairman of the Public Accounts Committee (PAC) of Parliament. The Public Accounts Committee is one of India's legislative committees, and its principal role is
Question : Directions: The bar chart given below shows the percentage distribution of the production of various models of mobile manufacturing in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones, and in 2008, the production was 44 lakh. Study the chart and answer the following questions:
If 85% of type D mobiles produced each year were sold by the company, how many D-type mobiles remained unsold?
Option 1: 76,500
Option 2: 93,500
Option 3: 1,18,500
Option 4: 1,22,500
Correct Answer: 1,18,500
Solution : As per the given graph, If 85% of the type D mobiles are sold, then 15% remains unsold. The total production of mobile phones of type D in 2007 = 10% of 35 lakh = 3,50,000 The total production of mobile phones of type D
Question : Select the most appropriate option to fill in the blank.
Sun Tzu says that ______ the enemy without battle requires greater skill than winning on the battlefield.
Option 1: defeated
Option 2: defeating
Option 3: in defeating
Option 4: defeat
Correct Answer: defeating
Solution : The second option is the correct answer.
When the construction says that, the verb that follows should be in the present participle form, which is defeating in this case.
This structure maintains grammatical accuracy and coherence in conveying the idea that Sun Tzu asserts that
Question : How many isotopes of hydrogen elements are there?
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: None of the options is correct
Correct Answer: 3
Solution : The correct option is 3.
There are three isotopes of hydrogen: protium (¹ H), deuterium (² H), and tritium (³ H). The most common isotope is protium, which consists of one proton and one electron. Deuterium is heavier than protium as it possesses one
Question : Select the most appropriate meaning of the given idiom. Hold one's tongue
Option 1: To talk continuously
Option 2: To be shocked
Option 3: To say a tongue-twister
Option 4: To keep quiet
Correct Answer: To keep quiet
The idiom "hold one's tongue" means to refrain from speaking or to remain silent. It is an expression used when someone is advised or directed to keep quiet or not to speak about a particular matter.
Question : Select the correct direct form of the given sentence. The shopkeeper requested the lady to hurry up as it was time to close the shop.
Option 1: The shopkeeper said to the lady, “Please hurry up, it will be time for the shop to be closed.”
Option 2: The shopkeeper said to the lady, “Please hurry up, it is time for the shop to be closed.”
Option 3: The shopkeeper said to the lady, “Please hurry up, it is time to closed the shop.”
Option 4: The shopkeeper said to the lady, “Please hurry up, it was time for the shop to be closed.”
Correct Answer: The shopkeeper said to the lady, “Please hurry up, it is time for the shop to be closed.”
Solution : The correct choice is the second option.
Explanation: The direct form is a way of reporting speech or writing in which the exact words spoken are quoted without
Question : $O$ is the circumcentre of the isosceles $\triangle ABC$. Given that $AB = AC = 5$ cm and $BC = 6$ cm. The radius of the circle is:
Option 1: 3.015 cm
Option 2: 3.205 cm
Option 3: 3.025 cm
Option 4: 3.125 cm
Correct Answer: 3.125 cm
Solution :
The circumradius $(R)$ of a triangle, $ R = \frac{abc}{4K} $ where $a, b$ and $c$ are the sides of the triangle and $K$ is the area of the triangle. Given that $AB = AC = 5$ cm ($a = b = 5$ cm)
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