Questions 121–130 of 378. Imported answers require independent review unless marked reviewed.

Topic practice 378 questionsPage 13 of 38

Question 7

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To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2.
If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
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Question 8

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The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World Bank said Sri Lanka needed to adopt structural reforms that focus on economic stabilisation and tackle the root causes of its crisis. The latter has starved it of foreign exchange and led to shortages of food, fuel, and medicines. The bank is repurposing resources under existing loans to help alleviate shortages of essential items such as medicine, cooking gas, fertiliser, meals for children, and cash for vulnerable households.
Based only on the above passage, which one of the following statements can be inferred with certainty?
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Question 9

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The coefficient of

in the polynomial

is equal to ______.
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Question 10

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Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.
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Question 11

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Which one of the following is the CORRECT value of

, as defined by the expression given below?
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Question 12

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The vector

is defined as

Which one of the following is the CORRECT value of divergence of

, evaluated at the point

?
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Question 13

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Given that

where

and

with

, which one of the following options is CORRECT?
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Question 14

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For a two-dimensional plane, the unit vectors,

of the polar coordinate system and

of the cartesian coordinate system, are related by the following two equations.


Which one of the following is the CORRECT value of

?
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Question 15

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Which one of the following statements related to octane number is NOT correct?
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Question 16

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Which one of the following options represents the major components of oleum?
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