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Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. House : Room :: World : ?
Option 1: Face
Option 2: Pencil
Option 3: Bed
Option 4: Continent
Correct Answer: Continent
Solution : Given: House : Room :: World : ?
Like, a house is divided into rooms. Similarly, the world is divided into continents.
Hence, the fourth option is correct.
Question : If $x^2+\frac{1}{x^2}=98$, then the value of $x+\frac{1}{x}$ is:
Option 1: 10
Option 2: 8
Option 3: 7
Option 4: 9
Correct Answer: 10
Solution : $x^2+\frac{1}{x^2}=98$ $⇒x^2+\frac{1}{x^2}+2=100$ $⇒x^2+\frac{1}{x^2}+2×x×\frac{1}{x}=100$ $⇒(x+\frac{1}{x})^2=10^2$ $\therefore x+\frac{1}{x}=10$ Hence, the correct answer is 10.
Question : The pie chart given below shows the savings of seven companies in a year. The total savings of all these companies are 12000. The saving of a particular company is shown as a percentage of the total savings of all these seven companies.
Which of the following statements is correct? I. The ratio of savings of Q to the savings of U is 8 : 9. II. The central angle formed by sector R is 36°. III. The savings of P is 60% of the savings of S.
Option 1: II and III
Option 2: I, II, and III
Option 3: I and III
Option 4: I and II
Correct Answer: II and III
Solution : I. The ratio of savings of Q to the savings of U = 18 : 16 = 9 : 8 So, it is incorrect. II. The Central angle formed by sector R = $\frac{10}{100}$ × 360° = 36° So, it is correct III.
Question : Comprehension: Read the following passage and answer the questions given after it.
Amidst a maze of rocks tucked in the Aravalli mountain ranges of Haryana, a team of archaeologists discovered cave paintings they believe belong to the Upper Palaeolithic age. The cave paintings have been discovered just outside the national capital and a stone's throw away from a holy grove called Mangar Bani- the region's only surviving patch of primary forest. While the residents of the villages have been familiar with the paintings for ages, the Haryana government's museum and archaeology department took note of them just recently. A fact-finding team was sent to the area in the last week of June. The team came across cave paintings comprising images of human figurines, animals, foliage, and geometric drawings. While some have paled over time, others are still very visible. They also discovered rock art and open-air ceremonial sites. Banani Bhattacharyya, deputy director of the department of archaeology and museums, informed, "So far, cave paintings in Delhi-NCR have only been found here. The paintings are yet to be dated, but at least some of them belong to the Upper Palaeolithic period in all likelihood. We are viewing the paintings in continuation with the Soanian culture which has been found in Shivalik Hills, Narmada, and Aravallis." Most of the cave paintings found were in ochre colour, but some were in white. As per experts, cave paintings in white are usually from a later stage (early contemporary era), while Stone Age paintings are more often than not in ochre. "Stone age paintings generally use red and ochre colours. Stones of these colours used to be available locally, and inhabitants crushed the stones for preparing the colour for paintings," added Bhattacharyya. The Upper Palaeolithic Age began around 40,000 years ago and lasted until around 10,000 years ago. While yet to be established through archaeological dating, Bhattacharyya says the Mangar cave art is $20,000–40,000 years old. Bhattacharyya claimed that the discovery is extremely significant. "Starting from the Lower Palaeolithic to the Middle Palaeolithic and then the Upper Palaeolithic, we see the evolution here. We have found significant remains from the Lower Palaeolithic to the Middle and Upper Palaeolithic periods too," she explained. "Though tools from the Palaeolithic Age have been identified earlier in parts of the Aravallis, it is for the first time that cave paintings and rock art of a large magnitude have been found in Haryana," she added. Question: Most of the cave paintings found in the Mangar forest area in Haryana are in which colour?
Option 1: black
Option 2: white
Option 3: red
Option 4: ochre
Correct Answer: ochre
Solution : The fourth option is the correct choice (refer to the fourth paragraph).
Most of the cave paintings found in the Mangar forest area of Haryana are in the colour ochre. The passage mentions that most of the cave paintings found in the Mangar forest
Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given figure, alternate boxes are similar to each other. Thus, the missing part of the figure is alternated to –
Therefore, the complete figure is –
Hence, the second option is correct.
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
The Small Indian Mongoose, (1) ______ its little round ears, is an (2) ______ hunter and has a long snout-like face and short legs that have sharp claws. It (3) ______ brown or grey-grizzly fur and (4) ______ in abandoned burrows or tunnels. (5) ______ the rat-like appearance, mongooses are not rodents.
Question:
Select the most appropriate option to fill in the blank number 2.
Option 1: alive
Option 2: alike
Option 3: awake
Option 4: agile
Correct Answer: agile
Solution : The correct choice is the fourth option.
Agile is someone who is quick in movement and is the appropriate word to fill the blank with. This helps convey the intended meaning that the mongoose is very quick in movement.
Question : What is the value of $\frac{1+\sin ^2 45^{\circ}}{1-\cos ^2 45^{\circ}}$?
Option 1: $\frac{1}{2}$
Option 2: $3$
Option 3: $2$
Option 4: $\frac{3}{2}$
Correct Answer: $3$
Solution : $\frac{1+\sin ^2 45^{\circ}}{1-\cos ^2 45^{\circ}}$ = $\frac{1+\frac{1}{2}}{1-\frac{1}{2}}$ = $\frac{\frac{3}{2}}{\frac{1}{2}}$ = 3 Hence, the correct answer is $3$.
Question : Directions: Select the option figure in which the given figure (X) is embedded as its part (rotation is NOT allowed).
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the first option figure.
Hence, the first option is
Question : Which of the following statements is correct regarding the Lucknow Pact? I. It was signed in the year 1916. II. It was signed between the moderate and radical factions of Congress.
Option 1: Both I and II
Option 2: Neither I nor II
Option 3: Only I
Option 4: Only II
Correct Answer: Only I
Solution : The correct answer is Only I.
The Lucknow Pact was an agreement between the Indian National Congress and the All-India Muslim League, and it was indeed signed in 1916. However, it was not signed between the moderate and radical factions of Congress. Instead,
Question : After successive discounts of 10% and 5%, an article was sold for Rs.342. What was the original price of the article?
Option 1: Rs. 400
Option 2: Rs. 342
Option 3: Rs. 300
Option 4: Rs. 442
Correct Answer: Rs. 400
Solution : Let the original price of the mobile be Rs. $x$. Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. Discount = $(10+5-\frac{50}{100}$)% = 14.5% Selling price of the article = $\frac{100-\text{Discount}\ \%}{100}$ × original price ⇒ $342 = \frac{100-14.5}{100} \times x$
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