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Question : Direction: Select the missing number from the given alternatives.
Option 1: 9
Option 2: 8
Option 3: 7
Option 4: 6
Correct Answer: 8
Solution : Given:
In the first column, (7 x 8 + 4) = 60
In the second column, (9 x 9 + 9) = 90
In the third column, (8 x ? + 6) =
Question : Directions: Select the option that is related to the third number in the same way as the second number is related to the first number. 7 : 343 :: 4 : ?
Option 1: 58
Option 2: 72
Option 3: 84
Option 4: 64
Correct Answer: 64
Solution : Given: 7 : 343 :: 4 : ?
Cube the first number, to obtain the second number in each number pair – Like, 7 : 343→73 = 343 Similarly, 4 : ?→43 = 64
So, 64 is the required missing number. Hence, the
Question : Directions: In a certain code language, PUBLIC is written as TIEIUY, and SERVER is written as WEUSEN. How will DIRECT be written in that language?
Option 1: HCUBIP
Option 2: PICBUH
Option 3: HICBUP
Option 4: PCUBIH
Correct Answer: HCUBIP
Solution : Given: PUBLIC is written as TIEIUY and SERVER is written as WEUSEN.
For PUBLIC –
Thus, PUBLIC is coded as TIEIUY. Likewise, for SERVER –
So, SERVER is coded as WEUSEN. Similarly, follow the same pattern for DIRECT –
So, DIRECT is coded as HCUBIP
Question : If $x=\sqrt2+1$, then the value of $x^{4}-\frac{1}{x^{4}}$ is:
Option 1: $8\sqrt2$
Option 2: $18\sqrt2$
Option 3: $6\sqrt2$
Option 4: $24\sqrt2$
Correct Answer: $24\sqrt2$
Solution : Given: $x=\sqrt{2}+1$ Thus, $\frac{1}{x}=\sqrt{2}-1$ $x+\frac{1}{x}=(\sqrt{2}+1)+(\sqrt{2}-1)=(\sqrt{2}+1+\sqrt{2}-1)=2\sqrt{2}$ $x-\frac{1}{x}=(\sqrt{2}+1)-(\sqrt{2}-1)=(\sqrt{2}+1-\sqrt{2}+1)=2$ So, $(x^2+\frac{1}{x^2})=6$ We know that, $x^4-\frac{1}{x^4}=(x^2+\frac{1}{x^2})(x^2-\frac{1}{x^2})=(x^2+\frac{1}{x^2})(x+\frac{1}{x})(x-\frac{1}{x})$ Putting the values we get, ⇒ $x^4-\frac{1}{x^4}=6×2×2\sqrt{2}$ $\therefore x^4-\frac{1}{x^4}=24\sqrt{2}$ Hence, the correct answer is $24\sqrt{2}$.
Question : In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase. To kill two birds with one stone
Option 1: A work which needs tremendous efforts
Option 2: To achieve two things with a single effort
Option 3: The weak point in a person
Option 4: To accidentally hurt someone’s feelings
Correct Answer: To achieve two things with a single effort
Solution : The second option is correct.
The idiom to kill two birds with one stone is used to convey the idea of accomplishing two objectives or tasks with a single action or effort.
Therefore, to achieve two things with
Question : Numan does half the work of Gagan in $\frac{4}{5}$ time. If they together take 16 days to complete a work, how much time will Gagan take to complete the work?
Option 1: 23 days
Option 2: 24 days
Option 3: 25 days
Option 4: 26 days
Correct Answer: 26 days
Solution : According to the question, Numan $× \frac{4}{5}$ = Gagan $× \frac{1}{2}$ ⇒ Numan = Gagan $× \frac{5}{8}$ ⇒ $\frac{\text{Numan}}{\text{Gagan}} = \frac{5}{8}$ Let Numan’s efficiency = 5 units/day And, Gagan’s efficiency = 8 units/day So, the total work $= 16 × (5 + 8)=16 ×
Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 21 * 3 * 36 * 2 * 23 = 68
Option 1: ÷, −, ×, +
Option 2: ÷, ×, +, −
Option 3: +, ×, −, ÷
Option 4: ×, −, ÷, +
Correct Answer: ×, −, ÷, +
Solution : Given: 21 * 3 * 36 * 2 * 23 = 68
Let's check the given options – First option: ÷, −, ×, + ⇒ 21 ÷ 3 − 36 × 2 + 23 = 68 Solving the L.H.S. of the equation
Question : Simplify the following equation. What is the difference between the two values of $x$? $7 x+4\left\{x^2 \div(5 x \div 10)\right\}-3\left\{5 \frac{1}{3}-x^3 \div\left(3 x^2 \div x\right)\right\}=0$
Option 1: 8
Option 2: 16
Option 3: 5
Option 4: 17
Correct Answer: 17
Solution : Given expression, $7 x+4\left\{x^2 \div(5 x \div 10)\right\}-3\left\{5 \frac{1}{3}-x^3 \div\left(3 x^2 \div x\right)\right\}=0$ ⇒ $7x + 4\{\frac{x^2}{\frac{5x}{10}}\}-3\{\frac{16}{3}-\frac{x^3}{\frac{3x^2}{x}}\}=0$ ⇒ $7x+4(\frac{x^2}{\frac{x}{2}})-3(\frac{16}{3}-\frac{x^3}{3x})=0$ ⇒ $7x+4(2x)-3(\frac{16}{3}-\frac{x^2}{3})=0$ ⇒ $7x+8x-(16-x^2)=0$ ⇒ $x^2+15x-16=0$ ⇒ $x^2 +x-16x-16=0$ ⇒ $x(x+1)-16(x+1)=0$ ⇒ $(x-16)(x+1)=0$ ⇒ $x=16$ and $x=-1$ $\therefore$ Difference $=16-(-1) = 17$ Hence, the correct answer
Question : Which of the following is an example of direct tax?
Option 1: Escheat
Option 2: Income Tax
Option 3: Custom Duty
Option 4: Goods and Services Tax
Correct Answer: Income Tax
Solution : The correct option is Income Tax.
It is a tax imposed on individuals or entities in respect of the income or profits earned by them. In India, income tax, corporation tax, property tax, and gift tax are the most prevalent types of direct
Question : Comprehension: India is a diverse nation with many different cultures. Although some eating habits are considered staples of Indian cuisine, these habits may not be practised by all the cultures of India. Cuisine differs across India's diverse regions as a result of variations in local culture, geographical location (proximity to the sea, desert, or mountains), and economics. It also varies seasonally, depending on which fruits and vegetables are ripe. Also, Middle Eastern and Central Asian influences have occurred in North Indian cuisine since the years of Mughal rule. Indian cuisine is still evolving as a result of the nation's cultural interactions with other societies.
Historical incidents such as foreign invasions, trade relations, and colonialism have played a role in introducing certain foods to the country. For instance, potato, a staple of the diet in some regions of India, was brought to India by the Portuguese, who also introduced chillies and breadfruit. Indian cuisine has shaped the history of international relations; the spice trade between India and Europe was the primary catalyst for Europe's Age of Discovery. Spices were bought from India and traded around Europe and Asia. Indian cuisine has influenced other cuisines across the world, especially those from Europe, the Middle East, North Africa, sub-Saharan Africa, Southeast Asia, the British Isles, Fiji, and the Caribbean.
Indian food is rich in flavour. However, spices do more than flavour a dish; they are also used to cool and warm the body during hot or cold weather. Yoghurt is commonly used to flavour dishes or as a sauce to chill spicy dishes. Many Indian dishes are cooked in vegetable oil, but peanut oil is popular in northern and western India, mustard oil in eastern India, and coconut oil along the western coast, especially in Kerala. Gingelly (sesame) oil is common in the south since it imparts a fragrant, nutty aroma. In recent decades, sunflower, safflower, cottonseed, and soybean oils have become popular across India. Butter-based ghee, or deshi ghee, is used frequently, though less than in the past.
Based on the passage above, choose the correct option for the following question.
Question
How was Indian cuisine able to influence other cuisines across the world?
Option 1: Indians introduced the idea of coconut oi to people across the globe
Option 2: Spices were bought from India and traded around Europe and Asia
Option 3: Indians living across the globe prepared Indian food for locals
Option 4: Indians introduced chilly food to the world
Correct Answer: Spices were bought from India and traded around Europe and Asia
Solution : The right choice is the second option (refer to the second paragraph).
Indian cuisine was able to influence other cuisines across the world through the spice trade between India and Europe. The spice trade,
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