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Question : The ratio of P, Q, and R is 2 : 5 : 7 respectively. If their sum is 840, then what is the difference between P and R?
Option 1: 300
Option 2: 380
Option 3: 200
Option 4: 260
Correct Answer: 300
Solution : Given: The ratio of P, Q, and R is 2 : 5 : 7 respectively. Their sum is 840. Let the required number be $2x$, $5x$ and $7x$ respectively. According to the question, ⇒ $2x+5x+7x=840$ ⇒ $14x=840$ ⇒ $x=60$ The difference between P and R
Question : What is formed when carbon dioxide is passed through lime water?
Option 1: Copper sulphate
Option 2: Calcium carbonate
Option 3: Magnesium oxide
Option 4: Baking soda
Correct Answer: Calcium carbonate
Solution : The correct option is Calcium carbonate.
The interaction between carbon dioxide and calcium hydroxide produces a white precipitate, calcium carbonate (CaCO3) when carbon dioxide is passed through lime water. This is used to detect the presence of carbon dioxide. The chemical
Question : Sultan of Johor Cup is a tournament of which sport?
Option 1: Football
Option 2: Cricket
Option 3: Hockey
Option 4: Badminton
Correct Answer: Hockey
Solution : The correct answer is Hockey.
The Sultan of Johar Cup is an annual, international under-21 men's hockey tournament. This tournament is held in Malaysia annually. The first edition of this tournament was held in 2011. India and Great Britain are the most successful teams,
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All pens are plates. All plates are trays. Some trays are boxes. Conclusions: I. Some boxes are plates. II. Some trays are pens. III. Some boxes are pens. IV. No tray is a plate.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Only conclusion III follows
Option 4: Only conclusion IV follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some boxes are plates – From the Venn diagram, it is evident that there is no direct relation between boxes and plates.
Question : Directions: Study the following bar diagram carefully and answer the questions. The bar graph given below shows the foreign exchange reserves of a country (in millions US $) from 1991-1992 to 1998-1999.
The ratio of the number of years, in which the foreign exchange reserves are above the average reserves, to those in which the reserves are below the average reserves is:
Option 1: 2 : 6
Option 2: 3 : 4
Option 3: 3 : 5
Option 4: 4 : 4
Correct Answer: 3 : 5
Solution : Average of the foreign exchange reserves of a country (in millions USD) from 1991-1992 to 1998-1999 is: $=\frac{2640+3720+2520+3360+3120+4320+5040+3120}{8}$ = 3480 The number of years in which the reserves are above the average reserves = 3 The number of years in which the reserves
Question : Which of the following can degrade detritus into simpler inorganic substances?
Option 1: Algae
Option 2: Phytoplankton
Option 3: Fungal enzymes
Option 4: Lichens
Correct Answer: Fungal enzymes
Solution : The correct answer is Fungal enzymes.
Fungal enzymes decompose detritus (dead organic matter) into simpler inorganic substances. Fungi are decomposers in ecosystems, and their enzymes help break down complex organic compounds in detritus into smaller molecules like simple sugars and other organic and
Question : The price of a commodity is decreased by 25 percent and therefore a household increases the consumption of that commodity by 20 kg to keep the expenditure same. What was the earlier consumption?
Option 1: 60 kg
Option 2: 55 kg
Option 3: 75 kg
Option 4: 45 kg
Correct Answer: 60 kg
Solution : Original price = Rs. 100 per kg Original consumption = $x$ kg After a decrease of 25%, New price = Rs. 75 per kg New consumption = $x$ + 20 kg Original expenditure = 100$x$ New expenditure = $75\times(x + 20) = 75x +
Question : Select the INCORRECTLY spelt word
Option 1: Merriment
Option 2: Yearn
Option 3: Zenith
Option 4: Miniture
Correct Answer: Miniture
Solution : The correct choice is the fourth option.
The incorrectly spelt word is "miniture". The correct spelling is miniature, which refers to something that is smaller in scale or size than normal. It can be a small version or representation of something larger. It can
Question : Roma spends 25% of her income on food, 15% on children's books and 75% of the remaining income on uniforms. What is the percentage of income she is left with?
Option 1: 35%
Option 2: 20%
Option 3: 15%
Option 4: 19%
Correct Answer: 15%
Solution : Let the income be 100. Spent on food = 25% Spent on children book = 15% Remaining salary = 100 – 25 – 15 = 60% 75% of the remaining on uniform = $\frac{75}{100}\times60=45$ $\therefore$ She left with 60 – 45 = 15% Hence, the
Question : If $a+b-c=20$ and $a^2+b^2+c^2=152$, find the value of $a^3+b^3-c^3+3abc$.
Option 1: 480
Option 2: 720
Option 3: 640
Option 4: 560
Correct Answer: 560
Solution : Given: $a+b-c=20$ and $a^2+b^2+c^2=152$ $ a+b-c = 20$ Squaring both sides, we get, ⇒ $a^2 + b^2+c^2 + 2ab-2bc-2ca = 400$ ⇒ $2(ab-bc-ca) = 400-152$ ⇒ $ab-bc-ca = 124$ Now to find, $a^3+b^3-c^3+3abc$ $= (a+b-c)(a^2+b^2+c^2-(ab-bc-ca))$ $= 20\times (152-124)$ $= 20\times 28 = 560$ Hence, the
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