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Question : What should be added to $8(3x-4y)$ to obtain $(18x-18y)$?
Option 1: $6x-14y$
Option 2: $14y+6x$
Option 3: $14y-6x$
Option 4: $6xy$
Correct Answer: $14y-6x$
Solution : To find out what should be added to $8(3x-4y)$ to obtain $(18x-18y)$. We add the term $P$ to the expression. $⇒8(3x-4y) + P = 18x - 18y$ Where $P$ is the polynomial we want to find. $⇒24x - 32y + P = 18x - 18y$
Question : If the price of an article decreases from Rs. 80 to Rs. 60, the quantity demanded increases from 600 to 750 units. Find the point elasticity of demand.
Option 1: -1
Option 2: 1
Option 3: -1.25
Option 4: 1.25
Correct Answer: -1
Solution : The answer is (-1).
To determine the point elasticity of demand, we can use the following formula:
Point Elasticity of Demand (PED) = (%Change in Quantity Demanded)/(%Change in Price) Percentage Change in Quantity Demanded:
= [(New Quantity Demanded - Old Quantity Demanded)/Old
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 29, 36, 44, 53, 63, ?
Option 1: 74
Option 2: 76
Option 3: 78
Option 4: 72
Correct Answer: 74
Solution : Given: 29, 36, 44, 53, 63, ?
Add consecutive numbers to the previous term to obtain the next term. 29 + 7 = 36; 36 + 8 = 44; 44 + 9 = 53; 53 + 10 = 63; 63 + 11 = 74
So,
Question : a3 – b3 = 91 and a – b = 1, what is the value of (ab)?
Option 1: 27
Option 2: 6
Option 3: 9
Option 4: 30
Correct Answer: 30
Solution : Given: a3 – b3 = 91 and a – b = 1 Then (a – b)3 = (1)3 ⇒ a3 – b3 – 3ab(a – b) = 1 ⇒ 91 – 3ab(1) = 1 ⇒ 3ab = 90 $\therefore$
Question : A is three times as good a worker as B and therefore can finish a job in 40 days less than B. Working together, they can do it in:
Option 1: 14 days
Option 2: 13 days
Option 3: 20 days
Option 4: 15 days
Correct Answer: 15 days
Solution : The time is inversely proportional to the efficiency The ratio of efficiency of A and B = 3 ∶ 1 ⇒ The ratio of time taken by A and B = 1 ∶ 3 Let the time taken by A and B be $x$
Question : Select the most appropriate ANTONYM of the given word. Escalate
Option 1: Attack
Option 2: Pretend
Option 3: Plunge
Option 4: Employ
Correct Answer: Plunge
Solution : The correct choice is the third option.
Escalate means to increase or intensify, especially in a rapid or significant way. Its antonym should represent a decrease or a downward movement. Plunge means to fall or drop steeply, fitting as an opposite to escalate, which
Question : The hottest part of the gas flame is known as
Option 1: blue zone
Option 2: non-luminous zone
Option 3: luminous zone
Option 4: dark zone
Correct Answer: non-luminous zone
Solution : The correct option is a non-luminous zone.
The hottest part of a gas flame is referred to as the non-luminous zone. This area is also called the inner cone or non-luminous flame. In this zone, combustion occurs more completely as there is a
Question : The average of 40 results is 15. If 5 is subtracted from each result, then what will be the new average of the results?
Option 1: 12
Option 2: 15
Option 3: 11
Option 4: 10
Correct Answer: 10
Solution : Given that the average of the 40 results is 15. ⇒ Average = $\frac{\text{Sum of the values}}{\text{Total number of values}}$ ⇒ 15 = $\frac{\text{Sum of the values}}{\text{40}}$ ⇒ Original Sum = 15 × 40 = 600 ⇒ New Sum = Original Sum – (5 ×
Question : From the given options, choose the one which is not a product of the decomposition reaction of Lead nitrate.
Option 1: Nitrogen dioxide
Option 2: Oxygen
Option 3: Nitrogen
Option 4: Lead oxide
Correct Answer: Nitrogen
Solution : The correct option is Nitrogen.
Lead nitrate (Pb(NO3)2) undergoes decomposition upon heating, and one of the products is lead (II) oxide (PbO). Nitrogen is not a product of the decomposition reaction of lead nitrate. The decomposition reaction of lead nitrate is
Question : The Airavatesvara Temple in Tamil Nadu was built by __________.
Option 1: Rajaraja Chola II
Option 2: Rajaraja Chola I
Option 3: Maharaja Sawai Jai Singh II
Option 4: Maharaja Pratap Singh
Correct Answer: Rajaraja Chola II
Solution : The correct option is Rajaraja Chola II.
The Airavatesvara Temple in Tamil Nadu was built by Rajaraja Chola II in the 12th century. The temple is dedicated to Lord Shiva. It is a UNESCO World Heritage site, part of the "Great Living
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