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Question : Which of the following is TRUE? I. $\sqrt[3]{11}>\sqrt{7}>\sqrt[4]{45}$ II. $\sqrt{7}>\sqrt[3]{11}>\sqrt[4]{45}$ III. $\sqrt{7}>\sqrt[4]{45}>\sqrt[3]{11}$ IV. $\sqrt[4]{45}>\sqrt{7}>\sqrt[3]{11}$
Option 1: Only I
Option 2: Only II
Option 3: Only III
Option 4: Only IV
Correct Answer: Only III
Solution : LCM of 3, 2, and 4 is 12. After taking the 12th power, $\sqrt[3]{11}$ → $11^4=14641$ $\sqrt{7}→7^6→49^3=117649$ $\sqrt[4]{45}→45^3=91125$ Comparing the above three terms, we can conclude that $\sqrt{7}>\sqrt[4]{45}>\sqrt[3]{11}$ Hence, the correct answer is 'Only III'.
Question : Litmus is obtained from
Option 1: a bacterium
Option 2: a fungus
Option 3: an alga
Option 4: lichen
Correct Answer: lichen
Solution : The correct option is lichen.
Litmus is a water-soluble natural dye extracted from lichens, which are symbiotic organisms composed of a fungus and an alga or cyanobacterium. Specifically, litmus is obtained from certain species of lichens, such as Roccella tinctoria and related varieties. The lichen
Question : Match the columns.
Option 1: A-IV, B-II, C-I, D-III
Option 2: A-III, B-I, C-IV, D-II
Option 3: A-I, B-IV, C-III, D-II
Option 4: A-I, B-II, C-III, D-IV
Correct Answer: A-IV, B-II, C-I, D-III
Solution : The correct answer is A-IV, B-II, C-I, D-III.
Bihar is known for the Chhath festival, a significant Hindu festival dedicated to the Sun God that involves rituals associated with bathing in rivers or other water bodies.
Arunachal Pradesh celebrates the Tamladu festival,
Question : Directions: In a certain code language, MERCHANT is written as NFSCHCPV, and INTERIOR is written as JOUERKQT. How will JUNCTION be written in that language?
Option 1: KVOCTKQP
Option 2: KVOCTJPO
Option 3: KVOCTKPQ
Option 4: KVOCTJQP
Correct Answer: KVOCTKQP
Solution : Given: MERCHANT is written as NFSCHCPV and INTERIOR is written as JOUERKQT.
Add 1 to the place value of the first three letters and 2 to the place value of the last three letters of MERCHANT and INTERIOR. The fourth and fifth letters will remain
Question : Ramagya sold his computer at three successive discounts of 18%, 12%, and 5%. If the marked price of the computer is INR 36,000, then find the net selling price of the computer. (Correct to two places of decimals.)
Option 1: INR 24,786.72
Option 2: INR 24,678.72
Option 3: INR 24,687.72
Option 4: INR 24,876.72
Correct Answer: INR 24,678.72
Solution : Price after 1st discount of 18% = 100% – 18% = 82% Price after 2nd discount of 12% = 82% – 0.12(82%) = 92% – 9.84% = 72.16% Price after 3rd discount of 5% = 72.16% – 0.05(72.16)% = 68.552% So, the selling price
Question : Directions: In the following question, select the related number from the given alternatives. 8 : 512 :: 9 : ?
Option 1: 781
Option 2: 792
Option 3: 729
Option 4: 728
Correct Answer: 729
Solution : Given: 8 : 512 :: 9 : ?
8 : 512→(8)3 = 512 Similarly, 9 : ?→(9)3 = 729
Hence, the third option is correct.
Question : In India, the financial year runs from_______ to________.
Option 1: April 1 or March 31
Option 2: February 1 , January 31
Option 3: July 1 , June 31
Option 4: January 1, December 31
Correct Answer: April 1 or March 31
Solution : The correct option is April 1 or March 31.
In India, the financial year runs from April 1st to March 31st of the following year. This fiscal year cycle is used for accounting, budgeting, and financial reporting purposes by the government,
Question : A certain quantity of water is mixed with milk price at Rs. 48 per litre. The price of the mixture is Rs. 30 per litre. The ratio of water and milk in the new mixture:(water is available free of cost)
Option 1: 3 : 2
Option 2: 3 : 5
Option 3: 2 : 3
Option 4: 2 : 5
Correct Answer: 3 : 5
Solution : Given: Price of milk = Rs. 48 per litre Price of mixture = Rs. 30 per litre Price of Water = Rs. 0 per litre By using the rule of alligation Milk = 30 – 0 = 30 Water = 48 – 30
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Here the pattern is as follows — In each box, one more arrow has been added in the pair at the top and bottom and in left and right alternatively.
The following figure will complete the given pattern —
Question : If a, b, c are real and $a^{2}+b^{2}+c^{2}=2(a-b-c)-3, $ then the value of $2a-3b+4c$ is:
Option 1: –1
Option 2: 0
Option 3: 1
Option 4: 2
Correct Answer: 1
Solution : Given: $a^{2}+b^{2}+c^{2}=2(a-b-c)-3$. We can simplify the above equation as follows: ⇒ $a^{2}+b^{2}+c^{2}=2a-2b-2c-3$ ⇒ $a^{2}-2a+1+b^{2}+2b+1+c^{2}+2c+1=0$ ⇒ $(a-1)^{2}+(b+1)^{2}+(c+1)^{2}=0$ $\therefore a=1, b=-1,c=-1$ Putting the values of $a, b, c$ in $2a-3b+4c$, we get: $2+3-4=1$ Hence, the correct answer is 1.
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