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Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 29, 33, ?, 113, 369
Option 1: 55
Option 2: 51
Option 3: 54
Option 4: 49
Correct Answer: 49
Solution : Given: 29, 33, ?, 113, 369
The pattern is as follows – 29 + (2)2 = 29 + 4 = 33 33 + (2 × 2)2 = 33 + (4)2 = 33 + 16 = 49 49 + (2 × 4)2
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select ‘No substitution’.
Several interesting articles were share by the group of academics.
Option 1: are share to
Option 2: were shared by
Option 3: were sharing
Option 4: No substitution
Correct Answer: were shared by
Solution : The correct choice is the second option.
"Were shared by" is the correct choice. The sentence is in the past form, and to maintain tense consistency, the correct past form of the verb "share" is "shared".
Therefore, the correct sentence is: "Several
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. It is difficult to say / which of the / two girls in that house / is the eldest?
Option 1: is the eldest
Option 2: It is difficult to say
Option 3: two girls in that house
Option 4: which of the
Correct Answer: is the eldest
Solution : The error lies in the first option.
The term eldest is typically used for three or more individuals in a comparative sense. When there are only two people or things being compared, the correct term is elder. The error lies in using eldest
Question : The graphs of the equations 7$x$ + 11$y$ = 3 and 8$x$ + $y$ = 15 intersect at the point P, which also lies on the graph of the equation:
Option 1: 2$x$ + $y$ = 2
Option 2: 2$x$ - $y$ = 1
Option 3: 3$x$ + 5$y$ = 1
Option 4: 3$x$ + 2$y$ = 3
Correct Answer: 3$x$ + 5$y$ = 1
Solution :
Equation of straight lines are following $7x + 11y = 3$..............................(i) And $8x + y = 15$............................(ii) On applying (i) × 1 – (ii) × 11, we get $(7x + 11y) - (8x + y) × 11 = 3 - 15
Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No Error'.
Disease-carrying parasites is not picky about hosts.
Option 1: about hosts
Option 2: Disease-carrying parasites
Option 3: No Error
Option 4: is not picky
Correct Answer: is not picky
Solution : The correct choice is the fourth option.
Explanation: The subject here is parasites, which is a plural noun. As the verb is (singular) it doesn’t agree in number with the plural subject. The correct form is the plural form of the
Question : Directions: From the given alternatives, select the word which cannot be formed using the letters of the given word. RECAPITULATION
Option 1: CAPTURE
Option 2: TABULATION
Option 3: RELATION
Option 4: PICTURE
Correct Answer: TABULATION
Solution : Given: RECAPITULATION
Now, let's compare all the option words with the word RECAPITULATION – First option: CAPTURE; All the letters of CAPTURE are present in the word RECAPITULATION. Second option: TABULATION; The letter B in the word TABULATION is not present in the word RECAPITULATION.
Question : Directions: Select the letter that can replace the question mark (?) in the following series. B, C, E, ?, Q, G
Option 1: F
Option 2: I
Option 3: E
Option 4: H
Correct Answer: I
Solution : Given: B, C, E, ?, Q, G
Add twice the difference of the previous term to get the next term in the series. B + 1 = C; C + 2 × 1 = C + 2 = E; E + 2 × 2 =
Question : In $\triangle$ABC, D and E are points on the sides BC and AB, respectively, such that $\angle$ACB = $\angle$ DEB. If AB = 12 cm, BE = 5 cm and BD : CD = 1 : 2, then BC is equal to:
Option 1: $8 \sqrt{3}$ cm
Option 2: $5 \sqrt{5}$ cm
Option 3: $6 \sqrt{5}$ cm
Option 4: $6 \sqrt{3}$ cm
Correct Answer: $6 \sqrt{5}$ cm
Solution : Given that $\angle ACB = \angle DEB$, we can say that $\triangle ABC$ and $\triangle DBE$ are similar by the Angle-Angle (AA) criterion of similarity. The ratio of corresponding sides in similar triangles is equal. $⇒\frac{AB}{DB} = \frac{BC}{BE}$ Given that AB = 12
Question : Suresh and Anil are working on a special project. Suresh takes 5 hours to type 40 pages and Anil needs 6 hours to type 32 pages on a computer. How much time will it take them to type a 110-page assignment if they work on two different computers?
Option 1: 8 hours 15 minutes
Option 2: 8 hours
Option 3: 7 hours 35 minutes
Option 4: 8 hours 40 minutes
Correct Answer: 8 hours 15 minutes
Solution : Pages typed by Suresh in one hour = $\frac{40}5 = 8$ pages Pages typed by Anil in one hour = $\frac{32}6$ = $\frac{16}3$ pages Pages typed by Suresh and Anil in one hour = $8 + \frac{16}{3} = \frac{40}3$ pages Time taken
Question : A shopkeeper marks an article at such a price that after giving a discount of $12 \frac{1}{2} \%$ on the marked price, he still earns a profit of 15%. If the cost price of the article is Rs. 385, then the sum of the marked price and the selling price (in Rs.) of the article is:
Option 1: 948.75
Option 2: 849.5
Option 3: 984.75
Option 4: 954.75
Correct Answer: 948.75
Solution : Let the marked price as MP and the selling price as SP. Given that the shopkeeper earns a profit of 15%, the selling price SP is 115% of the cost price. ⇒ SP = 1.15 × CP = 1.15 × 385 = Rs. 442.75 Also,
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