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Question : A and B working together can do a piece of work in $4\frac{1}{2}$ hours. B and C working together can do it in 3 hours. C and A working together can do it in $2\frac{1}{4}$ hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work.
Option 1: 3 hours
Option 2: 2 hours
Option 3: 2.5 hours
Option 4: 3.25 hours
Correct Answer: 2 hours
Solution : Amount of work done by A and B in 1 hour = $\frac{2}{9}$ Amount of work done by B and C in 1 hour = $\frac{1}{3}$ Amount of work done by A and C in 1 hour = $\frac{4}{9}$ Adding all the equations, we
Question : If $\small x+3y-\frac{2z}{4}=6, \; x+\frac{2}{3}(2y+3z)=33$ and $\frac{1}{7}(x+y+z)+2z=9,$ then what is the value of $46x+131y$?
Option 1: 414
Option 2: 364
Option 3: 384
Option 4: 464
Correct Answer: 414
Solution : Given: $x+3y-\frac{2z}{4} = 6$, $x+\frac{2}{3}(2y+3z) = 33\;$ and $\frac{1}{7}(x+y+z)+2z = 9$ Solution: $4x+12y-2z = 24......(i)$ $3x+4y+6z = 99.......(ii)$ $x+y+15z = 63........(iii)$ Multiplying equation (i) by 3, we get, $12x+36y-6z = 72......(iv)$ Now adding equation (ii) and (iv) we get, $15x+40y = 171.......(v)$ Multiplying equation (ii)
Question : Select the most appropriate synonym for the underlined word in the given sentence. You also worked with another eccentric genius.
Option 1: Middle
Option 2: ecological
Option 3: Peculiar
Option 4: elusive
Correct Answer: Peculiar
Solution : The third option is the correct choice.
Eccentric refers to someone or something unconventional, peculiar, or deviating from the norm. Similarly, peculiar means unusual, distinctive, or particular to a person or thing.
The meanings of the other options are as follows:
Middle means pertaining to
Question : Minamata disease is a nervous disorder caused by eating fish polluted with _____.
Option 1: Iron
Option 2: Mercury
Option 3: Lead
Option 4: Nickel
Correct Answer: Mercury
Solution : The correct option is mercury.
Mercury, specifically methylmercury, a highly poisonous chemical, responsible for the Minamata sickness. The release of methylmercury into bodies of water poisoned fish, resulting in significant health problems for the people.
Question : Directions: Three of the following four-letter clusters are alike in a certain way and one is different. Pick the odd one out.
Option 1: PUXZ
Option 2: CHLP
Option 3: TYBD
Option 4: SXAC
Correct Answer: CHLP
Solution : Let's check each option – First option: PUXZ→P + 5 = U; U + 3 = X; X + 2 = Z Second option: CHLP→C + 5 = H; H + 4 = L; L + 4 = P Third option: TYBD→T + 5 =
Question : Ustad Vilayat Khan, one of the great musicians from India, is globally renowned for playing which of the following instruments?
Option 1: Sitar
Option 2: Sarod
Option 3: Tanpura
Option 4: Violin
Correct Answer: Sitar
Solution : The correct option is Sitar.
Ustad Vilayat Khan was a renowned Indian classical musician known for playing the Sitar. He was a legendary Sitar virtuoso and a prominent figure in the world of classical music. He received numerous awards and honours for his contributions to
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 = $\frac{116°}{360°}\times5760=1856$ $\therefore$
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