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Question : Select the most appropriate meaning of the given idiom.
Be at a crossroads
Option 1: To have taken the wrong road
Option 2: To be confused
Option 3: To make a very important decision
Option 4: To have forgotten the way
Correct Answer: To make a very important decision
Solution : The correct choice is the third option
Explanation: The idiom "be at a crossroads" conveys the idea of standing at a pivotal moment in life where a significant decision or choice must be made. In this context, the correct
Question : Tropical grasslands of Brazil are known as______.
Option 1: Pampas
Option 2: Savanna
Option 3: Llanos
Option 4: Campos
Correct Answer: Campos
Solution : The correct answer is Campos.
The world's most agriculturally valuable environments are tropical grasslands, with annual rainfall ranging from 10 to 40 inches. Savannas in East Africa, llanos in Venezuela, and Campos in Brazil are names for tropical grasslands.
Question : Directions: Select the option that is related to the fourth number in the same way as the first number is related to the second number and the fifth number is related to the sixth number. 15 : 210 :: ? : 90 :: 20 : 380
Option 1: 10
Option 2: 8
Option 3: 18
Option 4: 12
Correct Answer: 10
Solution : Given: 15 : 210 :: ? : 90 :: 20 : 380
Like, 15 : 210→15 × (15 – 1) = 15 × 14 = 210 And, 20 : 380→20 × (20 – 1) = 20 × 19 = 380 Similarly, follow the same pattern
Question : The value of $\frac{0.325 \times 0.325+0.175 \times 0.175+25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}+\frac{0.5}{1.5}$ is:
Option 1: $3$
Option 2: 0
Option 3: $\frac{7}{3}$
Option 4: $\frac{11}{3}$
Correct Answer: $\frac{11}{3}$
Solution : Given: $\frac{0.325 \times 0.325+0.175 \times 0.175+25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}+\frac{0.5}{1.5}$ $=\frac{(0.325)^2 \times(0.175)^2+2 \times 0.0325\times0.175}{0.0325\times3.25- 0.225 \times 1.025}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)^2}{0.325\times0.325- 0.175 \times0.175}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)^2}{(0.325)^2(0.175)^2}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)^2}{(0.325+0.175)(0.325-0.175)}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)}{(0.325-0.175)}+\frac{0.5}{1.5}$ $=\frac{0.5}{0.15}+\frac{0.5}{1.5}$ $=\frac{5+0.5}{1.5}$ $=\frac{5.5}{1.5}$ $=\frac{11}{3}$ Hence, the correct answer is $\frac{11}{3}$.
Question : Select the sentence that has a grammatical error.
Option 1: Rama can bowl fastly.
Option 2: Go back to your room.
Option 3: Don't talk so loudly.
Option 4: Run quickly.
Correct Answer: Rama can bowl fastly.
Solution : The first option is the correct answer.
The adverb fastly is not grammatically correct. The correct form is fast, which is the appropriate adverb to describe the speed of Rama's bowling.
Therefore, the correct sentence is: "Rama can bowl fast."
Question : Mother told her daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be". Find the present ages of the mother and the daughter, respectively.
Option 1: 45 and 15
Option 2: 40 and 10
Option 3: 42 and 12
Option 4: 50 and 20
Correct Answer: 42 and 12
Solution : Let the present age of the mother be $x$ and the age of the daughter be $y$. According to the question, $x-7 = 7(y-7)$ ⇒ $x-7 = 7y - 49$ ⇒ $x-7y = -42$ Also after 3 years, $x+3 = 3(y+3)$ ⇒ $x-3y
Question : Industrial growth of different countries (in crores of INR):
How many countries' industrial growth is more than the average industrial growth?
Option 1: 3
Option 2: 4
Option 3: 2
Option 4: 1
Correct Answer: 2
Solution : Industrial growth of India = 30 (in crores of INR) The Industrial growth of the Pakistan = 20 (in crores of INR) The Industrial growth of the China = 50 (in crores of INR) The Industrial growth of the England = 40 (in crores of
Question : $\triangle PQR$ is a right-angled triangle. $\angle Q = 90^\circ$, PQ = 12 cm, and QR = 5 cm. What is the value of $\operatorname{cosec}P+\sec R$?
Option 1: $\frac{26}{5}$
Option 2: $\frac{13}{5}$
Option 3: $\frac{18}{5}$
Option 4: $\frac{14}{5}$
Correct Answer: $\frac{26}{5}$
Solution : As $PR^2=PQ^2+QR^2$ ⇒ $PR^2=12^2+5^2$ ⇒ $PR^2=144+25$ ⇒ $PR^2=169$ ⇒ $PR=\sqrt{169}$ ⇒ $PR=13$ cm Now, $\operatorname{cosec} \ P=\frac{PR}{QR}=\frac{13}{5}$ and $\sec R=\frac{PR}{QR}=\frac{13}{5}$ $\therefore \operatorname{cosec} \ P+\sec R=\frac{13}{5}+\frac{13}{5}=\frac{26}{5}$ Hence, the correct answer is $\frac{26}{5}$.
Question : The number of hours spent by a child on different activities in a working day is given in the table. How much percent of the time did he spend in sleep?
Option 1: 48.11%
Option 2: 33.33%
Option 3: 37.22%
Option 4: 41.12%
Correct Answer: 33.33%
Solution : Number of hours spent on sleep = 8 hours Total time = 24 hours Required percentage = $\frac{8}{24}$ × 100 = $\frac{1}{3}$ × 100 = 33.33% Hence, the correct answer is 33.33%.
Question : Four ashrams were recognised by Brahmins around the time when Jainism and Buddhism were becoming popular. Which of the following was not a recognised ashrama?
Option 1: Parmarth
Option 2: Vanaprastha
Option 3: Brahmacharya
Option 4: Grhastha
Correct Answer: Parmarth
Solution : The correct option is Parmarth.
During the period when Jainism and Buddhism gained popularity, Brahmins introduced the system of ashramas, referring to stages of life. This system outlined four phases: Brahmacharya, grhastha, vanaprastha, and sannyasa. Brahmin, Kshatriya and vaishya men were encouraged to lead simple
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