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Question : What is the value of $\left(\mathrm{k}+\frac{1}{\mathrm{k}}\right)\left(\mathrm{k}-\frac{1}{\mathrm{k}}\right)\left(\mathrm{k}^2+\frac{1}{\mathrm{k}^2}\right)\left(\mathrm{k}^4+\frac{1}{\mathrm{k}^4}\right)$?
Option 1: $\mathrm{k}^{16}+\frac{1}{\mathrm{k}^{16}}$
Option 2: $\mathrm{k}^{16}-\frac{1}{\mathrm{k}^{16}}$
Option 3: $\mathrm{k}^8-\frac{1}{\mathrm{k}^8}$
Option 4: $\mathrm{k}^8+\frac{1}{\mathrm{k}^8}$
Correct Answer: $\mathrm{k}^8-\frac{1}{\mathrm{k}^8}$
Solution : $(a+b)(a-b) =a^2-b^2$ $\left(\mathrm{k}+\frac{1}{\mathrm{k}}\right)\left(\mathrm{k}-\frac{1}{\mathrm{k}}\right)\left(\mathrm{k}^2+\frac{1}{\mathrm{k}^2}\right)\left(\mathrm{k}^4+\frac{1}{\mathrm{k}^4}\right)$ $= (k^2-\frac{1}{k^2})\left(\mathrm{k}^2+\frac{1}{\mathrm{k}^2}\right)\left(\mathrm{k}^4+\frac{1}{\mathrm{k}^4}\right)$ $=(k^4-\frac{1}{k^4})\left(\mathrm{k}^4+\frac{1}{\mathrm{k}^4}\right)$ $= (k^8-\frac{1}{k^8})$ Hence, the correct answer is $(k^8-\frac{1}{k^8})$.
Question : Parts of a sentence are given below in jumbled order. Select the option that arranges the parts in the correct order to form a meaningful sentence.
A. The fact that all members of the family were exposed
B. The waste of human resources and
C. To each other's capricious minds had a debasing effect
D. On the vitality of society as a whole
Option 1: A, C, D, B
Option 2: B, A, D, C
Option 3: D, A, C, B
Option 4: B, A, C, D
Correct Answer: B, A, C, D
Solution : The correct choice is the fourth option.
Part B introduces the first element, highlighting the wastage of human resources.
Part A adds to this by mentioning the exposure of the family members to each other's capricious minds.
Part C elaborates on
Question : Jaspal Rana is the name associated with which of the following games :
Option 1: Shooting
Option 2: Weight lifting
Option 3: Boxing
Option 4: Archey
Correct Answer: Shooting
Solution : The correct answer is Shooting
Jaspal Rana is associated with Shooting. Jaspal Rana (born 28 June 1976) is an Indian shooter. He contested mainly in the 25 m Centre Fire Pistol category.
Jaspal Rana’s feats in 1998, 2002 and 2006 aided the growth of Indian
Question : In early 1610, who discovered with his newly invented telescope that Jupiter has four moons?
Option 1: Simon Marius
Option 2: Tycho Brahe
Option 3: Galileo Galilei
Option 4: Johannes Kepler
Correct Answer: Galileo Galilei
Solution : The correct answer is Galileo Galilei.
In early 1610, Galileo Galilei discovered that Jupiter has four moons using his newly invented telescope. These moons are now known as the Galilean moons. In 1609, Galileo constructed his first telescope, which was a simple refracting telescope.
Question : The bar graph given below provides information about the quantity of salt produced by a company in 8 consecutive years. Study the information provided in the bar graph and answer the question that follows.
The average production of salt in 2001 and 2003 was exactly equal to the average production of salt in which of the following pairs of years?
Option 1: 2006 and 2007
Option 2: 2001 and 2005
Option 3: 2002 and 2007
Option 4: 2005 and 2006
Correct Answer: 2002 and 2007
Solution : From the given bar graph, Production of salt in 2001 and 2003 = 40 + 70 = 110000 tonnes Production of salt in 2006 and 2007 = 50 + 80 = 130000 tonnes Production of salt in 2001 and 2005 = 40 +
Question : Who among the following is related to the musical instrument Santoor?
Option 1: Pandit Shivkumar Sharma
Option 2: Pandit Ravi Shankar Prasad
Option 3: Pandit Hariprasad Chaurasia
Option 4: Pandit Jasraj
Correct Answer: Pandit Shivkumar Sharma
Solution : The correct answer is Pandit Shivkumar Sharma.
Pandit Shivkumar Sharma is a renowned Indian classical musician primarily associated with the musical instrument known as the santoor.
Question : Directions: Which two numbers (not digits) should be interchanged to make the given equation correct? (18 × 2) – 24 + 10 × 160 ÷ 16 + (10 × 4) = 170
Option 1: 2 and 24
Option 2: 2 and 4
Option 3: 24 and 18
Option 4: 16 and 18
Correct Answer: 24 and 18
Solution : Given: (18 × 2) – 24 + 10 × 160 ÷ 16 + (10 × 4) = 170
Let's check the options – First option: 2 and 24 ⇒ (18 × 24) – 2 + 10 × 160 ÷ 16 + (10 ×
Question : An Antigen is
Option 1: the result of Antibody
Option 2: the opposite of Antibody
Option 3: the stimulus for Antibody formation
Option 4: the residue of an Antibody
Correct Answer: the stimulus for Antibody formation
Solution : The correct option is - the stimulus for Antibody formation.
A chemical or foreign substance that can bind to a particular antibody is called an antigen. An immunological reaction can be brought on by the presence of antigens in the body.
Question : Pandit Ram Narayan is a Hindustani Classical musician who plays______________.
Option 1: Flute
Option 2: Harmonium
Option 3: Sarangi
Option 4: Tabla
Correct Answer: Sarangi
Solution : The correct option is Sarangi.
Pandit Ram Narayan is a renowned Hindustani classical musician who plays the sarangi. He is considered one of the greatest Sarangi players in the world. Other Sarangi players are Ustad Sultan Khan, Sabri Khan and Ramesh Mishra.
Question : On a television of brand A, the discount is 25% and on a television of brand B, the discount is 40%. The price of B after the discount Rs. 2,250, is greater than the price of A after the discount. What is the marked price of A (in Rs.) if the marked price of B is Rs. 35,000?
Option 1: 18,750
Option 2: 21,000
Option 3: 25,000
Option 4: 17,850
Correct Answer: 25,000
Solution : Let the marked price of brand A be Rs. $x$ and it is given that the marked price of brand B is Rs. 35,000. Discounted price of brand A = $0.75x$ And discounted price of brand B = $0.6 \times 35000$ Now, according to the
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