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Question : Equal sum of money are lent to X and Y at 7.5% per annum for 4 years and 5 years respectively. If the difference in interest, paid by them was Rs. 150, the sum lent to each was:
Option 1: Rs. 500
Option 2: Rs. 1000
Option 3: Rs. 2000
Option 4: Rs. 3000
Correct Answer: Rs. 2000
Solution : Let the sum be $\text{P}$ for both cases. Time = 5 years and 4 years. Difference = 150 According to the question: By using the formula of Simple Interest: SI = $\frac{\text{P×R×T}}{100}$ where $P$ is principal, $T$ is time in years and $R$ is the rate of interest per annum. $\frac{\text{P×7.5×5}}{100}-\frac{\text{P×7.5×4}}{100}$ = 150 ⇒ $\frac{\text{7.5P}}{100}$ = 150 ⇒ $\text{P}$ = Rs. 2000 Hence, the correct answer is Rs. 2000.
Question : Directions: Select the option figure in which the given figure is embedded. (rotation is NOT allowed)
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the third option figure.
Hence, the third option is correct.
Question : Directions: Select the option figure that is embedded in the given figure (rotation is NOT allowed).
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, only the second option figure is embedded in the given question figure.
Hence, the second option is correct.
Question : Select the correct active form of the given sentence.
Where have those important documents been hidden by you?
Option 1: Where do you hide those important documents?
Option 2: Where did you hide those important documents?
Option 3: Where have you hidden those important documents?
Option 4: Where are you hiding those important documents?
Correct Answer: Where have you hidden those important documents?
Solution : The third option is correct.
The active voice is a type of sentence or clause in which the subject performs the action. It's a more direct and straightforward way of expressing ideas. In an active sentence, the subject is the doer of the action, and the object is the receiver of the action.
The structure of the sentence in active voice in an interrogative sentence is: "Wh word + have + subject + past participle form of the verb + object?"
Therefore, the correct answer is: "Where have you hidden those important documents?"
Question : In $\triangle PQR, PQ=QR$ and $O$ is an interior point of $\triangle PQR$ such that $\angle OPR=\angle ORP$. Consider the following statements: (i) $\triangle POR$ is an isosceles triangle. (ii) $O$ is the centroid of $\triangle PQR$. (iii) $\triangle PQO$ is congruent to $\triangle RQO$. Which of the above statements is/are correct?
Option 1: Only (i) and (ii)
Option 2: Only (i) and (iii)
Option 3: Only (ii) and (iii)
Option 4: Only (ii)
Correct Answer: Only (i) and (iii)
Solution : Given: In $\triangle PQR, PQ=QR$ and $O$ is an interior point of $\triangle PQR$ such that $\angle OPR=\angle ORP$. Since $PQ = QR$, so $\triangle PQR$ is an isosceles triangle. From the given data we cannot say that $O$ is the centroid of the $\triangle PQR$. Also, $PQ=QR, OP=OR$ and $OQ=OQ$ So, $\triangle PQO$ and $\triangle RQO$ are congruent. Hence, the correct answer is Only (i) and (iii).
Question : Direction: Study the following bar diagram carefully and answer the question. The bar graph given below shows the foreign exchange reserves of a country (in million US dollars) from 1991– 1992 to 1998– 1999.
The percentage increase in the foreign exchange reserves in 1997– 98 over 1993– 94 is:
Option 1: 100%
Option 2: 150%
Option 3: 200%
Option 4: 120%
Correct Answer: 100%
Solution : The foreign exchange reserves in 1997–1998 were $5040$ million, as seen in the bar graph. 2520 million was the amount of foreign exchange reserves in 1993–94. Change in the number of reserves = $5040 - 2520= 2520$ Percentage increase = $\frac{\text{Difference}}{\text{The foreign exchange reserves in 1993–1994}} \times 100$. = $\frac{2520}{2520}\times 100=100$% Hence, the correct answer is 100%.
Question : Directions: If the 20th of March 2001 is Tuesday, then what will be the day of the week on the 23rd of April 2021?
Option 1: Friday
Option 2: Tuesday
Option 3: Monday
Option 4: Wednesday
Correct Answer: Friday
Solution : Given: The 20th of March 2001 is Tuesday.
Number of days from 21st of March 2001 to 20th of March 2021 – 365 × 20 = 7300; add 5 days for leap years (2004, 2008, 2012, 2016, and 2020) = 7300 + 5 = 7305 Number of days from 21st of March 2021 to 23rd of April 2021 – March = 11; April = 23 Total number of days: 7305 + 11 + 23 = 7339 The remainder after dividing 7339 by 7 is 3. Tuesday + 3 days = Friday
So, the 23rd of April 2021 will be Friday. Hence, the first option is correct.
Question : The below bar graph shows the number of toys sold by five different shops (i.e., A, B, C, D, and E) in the first week and second week. Find the ratio of the total number of toys sold by shops A, B, and C in the first week to the number of toys sold by shops C, D, and E in the second week.
Option 1: 1 : 13
Option 2: 9 : 1
Option 3: 13 : 9
Option 4: 9 : 13
Correct Answer: 9 : 13
Solution : Total number of toys sold by shops A, B, and C in the first week = 20 + 40 + 30 = 90 Total number of toys sold by shops C, D, and E in the second week = 20 + 60 + 50 = 130 Ratio = 90 : 130 = 9 : 13 Hence, the correct answer is 9 : 13.
Question : Directions: Which four-digit number is missing from the 4th box?
Option 1: 1313
Option 2: 1531
Option 3: 1221
Option 4: 1431
Correct Answer: 1531
Solution : Given:
In the above-given series, add 288 and 292 alternately to get the required missing number – 663 + 288 = 951, 951 + 292 = 1243, 1243 + 288 = 1531, 1531 + 292 = 1823
So, the required missing number is 1531. Hence, the second option is correct.
Question : Improve the underlined part of the sentence. Choose ‘No improvement’ as an answer if the sentence is grammatically correct.
The dog chased the ball into the neighbour’s yard.
Option 1: No Improvement
Option 2: has chasing the ball
Option 3: chase the ball
Option 4: chasing the ball
Correct Answer: No Improvement
Solution : The correct choice is the first option.
The given sentence is in the past tense. It doesn't need any improvement, as it uses the correct verb form to maintain grammatical accuracy and report the event correctly that has happened in the past.
Therefore, the given sentence is correct and requires no improvement.
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