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Question : Directions: Select the option figure in which the given figure is embedded. (rotation is NOT allowed)
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.
Hence, the fourth option is correct.
Question : What is the smallest number by which 625 must be divided so that the quotient is a perfect cube?
Option 1: 25
Option 2: 5
Option 3: 2
Option 4: 3
Correct Answer: 5
Solution : We know, a perfect cube has multiples of 3 as powers of prime factors. So, 625 = 54 Hence, 625 can be made a perfect cube by dividing it by 5. After dividing 625 by 5 we get 125 = 53 Hence, the
Question : The Queen who had the nickname "Bloody Mary"?
Option 1: Elizabeth
Option 2: Victoria
Option 3: Mary I
Option 4: Ruth
Correct Answer: Mary I
Solution : The answer is Mary I.
Queen Mary I was the Queen of England who ruled by her rights but was known by the name "Bloody Mary" because she pursued Protestant heretics, leading to their execution by burning at the stake in large numbers.
Question : Pipes A and B can fill a tank in 36 hours and 48 hours, respectively. Both pipes are opened together for 9 hours and then A is closed. Pipe B alone will fill the remaining part of the tank now in:
Option 1: $20 \frac{1}{2}$ hours
Option 2: $25$ hours
Option 3: $27$ hours
Option 4: $24$ hours
Correct Answer: $27$ hours
Solution : Given: Pipes A and B can fill a tank in 36 hours and 48 hours, respectively. Both pipes are opened together for 9 hours and then A is closed. Let the total work be 144 units. (LCM of 36 and 48) So, the efficiency
Question : A sum of Rs. 120 is divided among p, q, and r in such a way that p gets Rs. 9 more than q and q gets Rs. 6 more than r. What is the ratio of shares of p, q, and r respectively?
Option 1: 18 : 15 : 13
Option 2: 15 : 12 : 10
Option 3: 16 : 13 : 11
Option 4: 11 : 8 : 10
Correct Answer: 16 : 13 : 11
Solution : Given, A sum of Rs. 120 is divided among p, q, and r. According to the question, p gets Rs. 9 more than q ⇒ p = 9 + q ...............(1) And, q gets Rs. 6 more than r ⇒ q
Question : In the given figure, $PQRS$ is a quadrilateral. If $QR = 18$ cm and $PS = 9$ cm, then, what is the area (in cm2) of quadrilateral $PQRS$?
Option 1: $\frac{(64\sqrt{3})}{3}$
Option 2: $\frac{(177\sqrt{3})}{2}$
Option 3: $\frac{(135\sqrt{3})}{2}$
Option 4: $\frac{(98\sqrt{3})}{3}$
Correct Answer: $\frac{(135\sqrt{3})}{2}$
Solution :
Given: $PQRS$ is a quadrilateral, $QR = 18$ cm and $PS = 9$ cm. Construction: Extend the lines $QP$ and $RS$ as they meet at $T$ and form $\triangle QRT$ an equilateral triangle. Take the angles as shown in the figure. The area of an
Question : If $m+\frac{1}{m-2}=4$, then find the value of $(m-2)^2+\frac{1}{(m-2)^2}$.
Option 1: – 2
Option 2: 4
Option 3: 0
Option 4: 2
Correct Answer: 2
Solution : Given, $m+\frac{1}{m-2}=4$ ⇒ $(m-2)+\frac{1}{m-2}=2$ Squaring both sides, we get: $(m-2)^2+\frac{1}{(m-2)^2}+2(m-2)(\frac{1}{m-2})=4$ ⇒ $(m-2)^2+\frac{1}{(m-2)^2}+2=4$ $\therefore(m-2)^2+\frac{1}{(m-2)^2}=2$ Hence, the correct answer is 2.
Question : Identify the segment in the sentence which contains a grammatical error. She has been working tirelessly since hours.
Option 1: since hours
Option 2: tirelessly
Option 3: She has
Option 4: been working
Correct Answer: since hours
Solution : The error lies in the first option.
The correct expression should be for hours instead of since hours. When talking about the duration of an action that started in the past and continues into the present, we use for, followed by a period of
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
There were other stories (1) _______ Krishna. How (2) _______ been born in a dungeon where his uncle Kamsa had imprisoned his parents with the intention of killing him at birth. How, in spite of the many prison guards, he had been miraculously spirited (3) ______ to safety in Gokul. How, in infancy, he killed a (4) _______ who tried to poison him with her breast milk. How he lifted up Mount Govardhan to shelter his people from a (5) _______ that would have drowned them.
Question: Select the most appropriate option to fill in the blank No. (5).
Option 1: snowfall
Option 2: earthquake
Option 3: drought
Option 4: deluge
Correct Answer: deluge
Solution : The correct choice is the fourth option.
"Deluge" is also a suitable choice. It conveys the idea of a large amount of water overwhelming a place.
Question : Study the given graph and answer the following question. Number of boys and girls students in each section. The number of boys in section B is approximately what percentage of the number of girls in section E?
Option 1: 25%
Option 2: 55%
Option 3: 45%
Option 4: 15%
Correct Answer: 55%
Solution : Number of Boys in section B = 30 Number of Girls in section E = 55 The number of boys in section B to the percentage of the number of girls in section E = $\frac{30}{55}\times 100$ $\approx$ 55% Hence, the correct answer is 55%
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