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Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. P can be represented by 55, 69, etc, and L can be represented by 59, 68, etc. Similarly, you have to identify the set for the word PEST.
Option 1: 87, 56, 03, 04
Option 2: 55, 79, 23, 22
Option 3: 69, 98, 41, 40
Option 4: 96, 65, 32, 00
Correct Answer: 55, 79, 23, 22
Solution : Given: PEST
Number representations of each letter – P→55, 69, 78, 87, 96 E→56, 65, 79, 88, 97 S→00, 14, 23, 32, 41 T→04, 13, 22, 31, 40
Let's check the options – First option: 87, 56, 03, 04 – S
Question : Select the most appropriate option to fill in the blank. In the absence of the Principal, the Vice- Principal ______ for him.
Option 1: deputes
Option 2: exchanges
Option 3: officiates
Option 4: replaces
Correct Answer: officiates
Solution : The third option is the correct answer.
Officiates means to perform the duties of an office, especially to act as an official in charge during the temporary absence of the regular occupant. This aligns with the context.
The meanings of other options are as follows:
Question : Select the correct indirect form of the given sentence.
Radha said, “Why didn’t he forward his petition to me?”
Option 1: Radha enquired why he had not forwarded his petition to her.
Option 2: Radha enquired why he has not forwarded his petition to her.
Option 3: Radha enquired why had he not forwarded his petition to her.
Option 4: Radha enquired why he had not forward his petition to her.
Correct Answer: Radha enquired why he had not forwarded his petition to her.
Solution : The correct indirect form of the given sentence is the first option.
Explanation: In reported speech, the tense of the reporting verb often changes according to the sequence of tenses.
When the reporting verb is
Question : If $\cot 3 \mathrm{~A}=\tan \left(\mathrm{A}-36^{\circ}\right)$, then what is the value of $\mathrm{A}$?
Option 1: 33.5 degrees
Option 2: 25 degrees
Option 3: 30 degrees
Option 4: 31.5 degrees
Correct Answer: 31.5 degrees
Solution : $\cot 3 \mathrm{~A}=\tan \left(\mathrm{A}-36^{\circ}\right)$ $⇒ \tan (90-3 \mathrm{~A})=\tan \left(\mathrm{A}-36^{\circ}\right)$ $⇒ 90^{\circ}-3 \mathrm{~A} = \mathrm{~A}-36^{\circ}$ $⇒ 4 \mathrm{~A} = 126^{\circ}$ $\therefore \mathrm{~A} = 31.5^{\circ}$ Hence, the correct answer is 31.5 degrees.
Question : Directions: The position of how many letters will remain unchanged if each letter in the word HEARDVG is arranged in alphabetical order.
Option 1: Three
Option 2: One
Option 3: Two
Option 4: None
Correct Answer: None
Solution : Given: HEARDVG When the letters of HEARDVG are arranged in alphabetical order, the letter cluster formed is ADEGHRV.
So, no letter has the same position as before. Hence, the fourth option is correct.
Question : Which of the given personalities is not associated with Carnatic music?
Option 1: Kalyani Varadarajan
Option 2: M. S. Subbulakshmi
Option 3: Vishnu Narayan Bhatkhande
Option 4: Subramania Bharati
Correct Answer: Vishnu Narayan Bhatkhande
Solution : The correct option is Vishnu Narayan Bhatkhande.
Vishnu Narayan Bhatkhande is not affiliated with Carnatic music. It is one of the two major traditions of classical music in India. It is primarily associated with the southern regions of India, including Tamil Nadu,
Question : The ratio of the ages of Ram and Shyam 15 years ago was 2 : 5. The ratio of their present ages is 5 : 8. What will be the present age of Shyam (in years)?
Option 1: 10
Option 2: 15
Option 3: 25
Option 4: 40
Correct Answer: 40
Solution : Given: Ratio of the ages of Ram and Shyam (15 years ago) = 2 : 5 The ratio of ages of Ram and Shyam (present) = 5 : 8 Let the ages of Ram and Shyam be $x$ and $y$ respectively. So, $x : y=5
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the number into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (312, 24, 13) (645, 43, 15)
Option 1: (347, 27, 12)
Option 2: (347, 22, 17)
Option 3: (374, 17, 12)
Option 4: (374, 22, 17)
Correct Answer: (374, 22, 17)
Solution : Given: (312, 24, 13); (645, 43, 15)
In the given sets, multiply the second and the third numbers to get the first number. (312, 24, 13)→24 × 13 = 312 (645, 43, 15)→43 × 15 = 645 Let's check the options – First
Question : Directions: Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? rtx _ sx _ z _ txy _ _ yz
Option 1: yyrxs
Option 2: yysxr
Option 3: yyrsx
Option 4: yyxrs
Correct Answer: yyrsx
Solution : Given:– rtx _ sx _ z _ txy _ _ yz
To fill the series we have to divide the series→rtx _ sx _ z / _ txy _ _ yz Let's check each option – First option: yyrxs; rtxysxyz /
Question : A man sold his watch at a loss of 5%. Had he sold it for Rs 56.25 more, he would have gained 10% what is the cost price of the watch in Rs?
Option 1: 370
Option 2: 365
Option 3: 375
Option 4: 390
Correct Answer: 375
Solution : Let the cost price of the watch be Rs. $x$. Given that, Had he sold it for Rs. 56.25 more, he would have gained 10%. At a loss of 5%, Selling price = $\frac{(100-5)}{100}\times x=\frac{95x}{100}$ At a gain of 10%, Selling price = $\frac{(100+10)}{100}\times x=\frac{110x}{100}$
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