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Question : If $a+b+c=7$ and $a^3+b^3+c^3-3abc=175$, then what is the value of $(a b+b c+c a)$?
Option 1: 8
Option 2: 9
Option 3: 7
Option 4: 6
Correct Answer: 8
Solution : The given equations are: $a + b + c = 7$ $a^3 + b^3 + c^3 - 3abc = 175$ From the identity, $a^3 + b^3 + c^3 - 3abc = (a + b + c)[( a + b + c)^2-3(ab + bc + ca)]$
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select "No Error."
Get this book (1) / be published (2) / in time. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error is in the second part of the sentence.
"Be published" is the wrong usage, as be should be omitted in this case. "Get" is followed by an object and the third form of the verb.
Therefore, the correct sentence is, "Get this book
Question : Directions: Select the option that is related to the sixth letter cluster in the same way as the first letter cluster is related to the second letter cluster and the third letter cluster is related to the fourth letter cluster. HMD : KOE :: BNQ : EPR :: ? : FLV
Option 1: SJE
Option 2: UJC
Option 3: EJS
Option 4: CJU
Correct Answer: CJU
Solution : Given: HMD : KOE :: BNQ : EPR :: ? : FLV
Here, subtract 3, 2, and 1 from the place value of the first, second, and third letters of the given letter clusters. Like, HMD : KOE; K – 3 = H, O –
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
In my opinion (1) / a pencil is always (2) / more preferable to a pen. (3) / No Error (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
The reason for the error is the inappropriate usage of more with preferable as "preferable" itself is a comparative form of adjective.
So, the correct sentence should be: In my opinion, a pencil is always
Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 2.
Option 1: 4
Option 2: 5
Option 3: 6
Option 4: 1
Correct Answer: 4
Solution : Taking dice positions 2 and 3 with 4 as common face,
Moving clockwise from the common face with 4,
Pairs of opposite faces –
So, the opposite face to the face containing 2 is 4. Hence, the first option is correct.
Question : Directions: In a certain code language, MAYOR is written as WSBCN, and MARCH is written as MGUCN. How will ISSUE be written in that language?
Option 1: JYVVJ
Option 2: JYVUJ
Option 3: JUVYJ
Option 4: JYVJK
Correct Answer: JYVUJ
Solution : Given: MAYOR is written as WSBCN and MARCH is written as MGUCN.
Reverse the order of the letters and add 5, 4, 3, 2, and 1 to the place value of MAYOR and MARCH as shown to obtain the required code –
Thus, MAYOR is
Question : Directions: L is the sister of G. G is the son of M. M is married to D. D is the sister of E. E is the son of C. C is married to S. S is the sister of P. How is L related to E?
Option 1: Wife's sister
Option 2: Brother's daughter
Option 3: Sister's daughter
Option 4: Daughter
Correct Answer: Sister's daughter
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, L is the sister's daughter (niece) of E. Hence, the third option is correct.
Question : Whose autobiography is titled "And Then One Day: A Memoir"?
Option 1: Anupam Kher
Option 2: Naseeruddin Shah
Option 3: Boman Irani
Option 4: Kabir Bedi
Correct Answer: Naseeruddin Shah
Solution : The correct answer is Naseeruddin Shah.
"And Then One Day: A Memoir", Naseeruddin Shah's autobiography, describes his struggles to make a living as an actor, his attempts at the trade, his early marriage, his triumphs and disappointments, with amazing candour and self-reflection.
Question :
Directions: In the following question, select the related word from the given alternatives. Grain : Warehouse :: Water : ?
Option 1: Canal
Option 2: River
Option 3: Estuary
Option 4: Dam
Correct Answer: Dam
Solution : Given: Grain : Warehouse :: Water : ?
Grains are stored in the warehouse. Similarly, water is stored in the dam.
Hence, the fourth option is correct.
Question : Directions: In the following question, select the one that is different from the other three alternatives.
Option 1: (45, 18)
Option 2: (36, 27)
Option 3: (23, 14)
Option 4: (82, 29)
Correct Answer: (82, 29)
Solution : Let's check the options – First option: (45, 18); 4 + 5 = 9; 1 + 8 = 9 (The sum of the digits of both numbers is equal.) Second option: (36, 27); 3 + 6 = 9; 7 + 2 = 9 (The
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