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Question : An urban settlement that serves as a center for medical research and healthcare services is classified as a:
Option 1: Medical hub
Option 2: University town
Option 3: Tech hub
Option 4: Cultural city
Correct Answer: Medical hub
Solution : Correct Option: Option 1 Explanation: A medical hub is an urban settlement that serves as a center for medical research and healthcare services, often hosting hospitals, research institutions, and medical schools.
Question : Parts of a sentence are given below in jumbled order. Select the option that arranges the parts in the correct order to form a meaningful sentence.
A) fourth floor of B) nasty man named Mr. Douglas C) an apartment building D) there is a very mean, E) who lives on the
Option 1: D, B, E, A, C
Option 2: B, C, A, D, E
Option 3: E, A, D, B, C
Option 4: C, B, A, E, D
Correct Answer: D, B, E, A, C
Solution : The correct choice is the first option.
The sentence in the correct order is: There is a very mean man named Mr. Douglas who lives on the fourth floor of an apartment building.
Question : If $x=222, y=223$ and $z=224$, then find the value of $x^3+y^3+z^3-3 x y z$.
Option 1: 2007
Option 2: 2004
Option 3: 2006
Option 4: 2005
Correct Answer: 2007
Solution : $x^3 + y^3 +z^3-3xyz=\frac{1}{2}(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2]$ $= (\frac{1}{2})(222+ 223 + 224)[(222-223)^2 + (223-224)^2 + (224-222)^2]$ $= (\frac{1}{2})(669)[(1)+(1) + (4)]$ $= 3\times 669 = 2007$ Hence, the correct answer is 2007.
Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? (6)³ ÷ 12 + [(√81) x 4] – (28 ÷ 2) + 24 = 43
Option 1: 12 and 24
Option 2: 6 and 24
Option 3: 81 and 4
Option 4: 28 and 24
Correct Answer: 12 and 24
Solution : Given: (6)³ ÷ 12 + [(√81) x 4] – (28 ÷ 2) + 24 = 43
Interchanging the numbers as given in the options – First option: 12 and 24 (6)³ ÷ 24 + [(√81) x 4] – (28 ÷ 2) + 12
Question : Directions: If FRIEND is coded as HUMJTK, how can CANDLE be written in that code?
Option 1: EDRIRL
Option 2: ESJFME
Option 3: DCQHQK
Option 4: DEQJQM
Correct Answer: EDRIRL
Solution : Given: FRIEND is coded as HUMJTK.
Add consecutive natural numbers to the place value of the letters of the given words to get the code. FRIEND is coded HUMJTK – F + 2 = H; R + 3 = U; I + 4 = M;
Question : The Supreme Court at Calcutta was established by
Option 1: Regulating Act of 1773
Option 2: Pitt's India Act of 1784
Option 3: Charter Act of 1793
Option 4: Charter Act of 1813
Correct Answer: Regulating Act of 1773
Solution : The correct answer is the Regulating Act of 1773.
The Supreme Court at Calcutta was established in 1774 through the Regulating Act of 1773. Elijah Impey was the first Chief Justice of the Supreme Court. From 1774 until the Indian Councils Act
Question : S, T, and U can complete a work in 40, 48, and 60 days, respectively. They received Rs. 10,800 to complete the work. They began the work together, but T left 2 days before the completion of the work and U left 5 days before the completion of the work. S has completed the remaining work alone. What is the share of S (in Rs.) from the total money?
Option 1: 4000
Option 2: 4320
Option 3: 4500
Option 4: 4860
Correct Answer: 4860
Solution : S’s 1 day work =$\frac{1}{40}$ T’s 1 day work = $\frac{1}{48}$ U’s 1 day work = $\frac{1}{60}$ Let the work be completed in $x$ days, such that S worked for all $x$ days, T worked for $(x - 2)$ days, and U for $(x -
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