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Question : The HVJ gas pipeline from Hazira in Gujarat to Jagdishpur in Uttar Pradesh passes through which state?
Option 1: Jharkhand
Option 2: Madhya Pradesh
Option 3: Himachal Pradesh
Option 4: Uttarakhand
Correct Answer: Madhya Pradesh
Solution : The correct answer is Madhya Pradesh.
Hazira-Vijaipur-Jagdishpur, or HVJ, is the first interstate gas pipeline in India. To supply gas to fertiliser factories in the state of Uttar Pradesh, the project got underway in 1986 with the formation of GAIL Limited.
With a
Question : Which is the most stable ecosystem?
Option 1: Desert
Option 2: Ocean
Option 3: Mountain
Option 4: Forest
Correct Answer: Ocean
Solution : The correct answer is ocean.
The ocean or marine ecosystem is the largest ecosystem in the world and it is the most stable ecosystem. Water covers nearly 71% of the earth's surface area. While ecosystem is a self sustaining unit of interacting living organisms and
Question : A certain number of men completed a piece of work in 60 days. If there were 8 men more, the work could be finished in 10 days less. The number of men originally was:
Option 1: 36
Option 2: 40
Option 3: 30
Option 4: 32
Correct Answer: 40
Solution : Given: Let the original no of men be $x$. $x$ men can finish it in 60 days, and $(x+8)$ men can finish in 50 days. $M_{1}D_{1}=M_{2}D_{2}$, where $M_1$ and $M_2$ are men and $D_1$ and $D_2$ are days. $⇒60x = 50(x+8)$ $⇒10x= 400$ $\therefore x
Question : The pie chart given below shows the price of 6 different articles. The total price of all these 6 articles is Rs. 5760. The price of a particular article is shown in terms of degree with respect to the total price of all these 6 articles. P1 = The difference between the average price of K and L and the average price of J and N P2 = The total price of J, M, N, and O What is the value of (P1 + P2)?
Option 1: 2426
Option 2: 3576
Option 3: 5426
Option 4: 3232
Correct Answer: 3576
Solution : Given, The total price of all these 6 articles is Rs. 5760 P1 = The difference between the average price of K and L and the average price of J and N. Price of K = $\frac{42°}{360°}\times 5760=672$ And, Price of L = $\frac{116°}{360°}\times5760=1856$ $\therefore$
Question : Directions: In each of the following questions, which one set of letters/numbers when sequentially placed at the gaps in the given letter series shall complete it? bb_aab_caab_ca_
Option 1: abac
Option 2: bcab
Option 3: cbba
Option 4: acab
Correct Answer: cbba
Solution : Given: bb_aab_caab_ca_
To fill the series we have to divide the series – bb_aa / b_caa / b_ca_ Let's check each option – First option: abac; bbaaa / bbcaa / bacac (No repeated pattern has been found.) Second
Question : The base of a right prism is a triangle whose sides are 8 cm, 15 cm and 17 cm, and its lateral surface area is 480 cm$^2$. What is the volume (in cm$^3$) of the prism?
Option 1: 540
Option 2: 600
Option 3: 720
Option 4: 640
Correct Answer: 720
Solution : Given: Lateral surface area of prism = 480 cm2 Lateral surface area of prism = perimeter of base × height Perimeter of triangle = 8 + 15 + 17 = 40 cm Let the height of the prime is $h$ cm ⇒ $40 ×
Question : If $ \frac{k-k \cot ^2 30^{\circ}}{1+\cot ^2 30^{\circ}}=\sin ^2 60^{\circ}+4 \tan ^2 45^{\circ}-\operatorname{cosec}^2 60^{\circ}$, then the value of k (correct to two decimal places) is:
Option 1: 5.55
Option 2: – 6.83
Option 3: – 5.58
Option 4: 6.83
Correct Answer: – 6.83
Solution : Computing RHS, $\sin ^2 60^{\circ}+4 \tan ^2 45^{\circ}-\operatorname{cosec}^2 60^{\circ} = (\frac{\sqrt{3}}{2})^2+4\times1^2-(\frac{2}{\sqrt{3}})^2$ ⇒ $\sin ^2 60^{\circ}+4 \tan ^2 45^{\circ}-\operatorname{cosec}^2 60^{\circ} = \frac{3}{4}+4-\frac{4}{3}$ ⇒ $\sin ^2 60^{\circ}+4 \tan ^2 45^{\circ}-\operatorname{cosec}^2 60^{\circ} = \frac{41}{12}$ Computing LHS, $ \frac{k-k \cot ^2 30^{\circ}}{1+\cot ^2 30^{\circ}} = k(\frac{1- (\sqrt{3})^2}{1+(\sqrt{3})^2})$ ⇒
Question : Directions: How many quadrilaterals are there in the given figure?
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 5
Correct Answer: 2
Solution : The given figure can be labeled as shown below –
There are 2 quadrilaterals in the above figure. They are ABFE and ABCE.
Hence, the first option is correct.
Question : Select the word that is OPPOSITE in meaning to the given word.
Adversity
Option 1: Fortune
Option 2: Affliction
Option 3: Brilliance
Option 4: Penury
Correct Answer: Fortune
Solution : The correct choice is the first option.
Adversity refers to difficulties, misfortune, or hardship that someone faces in life.
On the other hand, fortune stands in opposition to adversity. It refers to good luck, success, wealth, or favourable circumstances.
The meanings of the other
Question : Which of the following nations was a part of a coalition called "Allied Powers" in World War II?
Option 1: USSR
Option 2: Germany
Option 3: Italy
Option 4: Japan
Correct Answer: USSR
Solution : The correct answer is the USSR
The Soviet Union was part of the coalition called the "Allied Powers" in World War II. The Allied Powers, also known as the Allies, included several nations, with major contributors being the United States, the Soviet Union, the United
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