Study the given grid carefully and select the option from among the given options that can replace the question mark (?).
| B3 | E4 | H7 |
| K8 | N9 | ? |
| T11 | W13 | Z24 |
The question asks to identify the first Indian individual to travel to space. This is a factual question related to Indian space history.
Correct Option: D) Rakesh Sharma was the first Indian citizen to travel to space. He flew aboard the Soviet Soyuz T-11 spacecraft as part of the Intercosmos programme on April 3, 1984.
The question asks for the year when the National Programme of Nutritional Support to Primary Education (NP-NSPE), commonly known as the Mid-Day Meal Scheme, was launched in India. This is a factual question requiring knowledge of the history of social welfare programs in India.
C) 1995 — The National Programme of Nutritional Support to Primary Education (NP-NSPE) was initiated by the Government of India on August 15, 1995. This program is widely known as the Mid-Day Meal Scheme, which provides free lunches on working days for children in primary and upper primary classes in government, government-aided, local body, Education Guarantee Scheme, and Alternative Innovative Education centres, Madarsa and Maqtabs supported under Sarva Shiksha Abhiyan.
The question asks for the full form of the acronym EVM. This is a general knowledge question related to Indian elections and common terminology used in that context.
Correct Option: A) Electronic Voting Machine is the correct full form of EVM. These machines are used in India for conducting elections, allowing voters to cast their votes electronically instead of using paper ballots.
Big Mart is offering 5% discount on card payment. How much percentage above cost price should the marked price be so as to make a profit of 10%?
14 \( \frac{16}{19} \) %
16 \( \frac{14}{19} \) %
15 \( \frac{5}{19} \) %
15 \( \frac{15}{19} \) %
To solve this problem, we need to relate the Cost Price (CP), Selling Price (SP), Marked Price (MP), discount percentage, and profit percentage. We will assume a convenient Cost Price, calculate the required Selling Price to achieve the desired profit, and then use the discount percentage to find the Marked Price. Finally, we will calculate the percentage by which the Marked Price is above the Cost Price.
Assume a Cost Price (CP):
Let the Cost Price (CP) of the item be \( \text{₹}100 \).
Calculate the required Selling Price (SP):
The desired profit is 10%.
Profit \( = 10\% \) of CP
\[ \text{Profit} = \frac{10}{100} \times 100 = \text{₹}10 \]Thus, the Selling Price (SP) must be:
\[ \text{SP} = \text{CP} + \text{Profit} = 100 + 10 = \text{₹}110 \]So, the item must be sold for \( \text{₹}110 \) to make a 10% profit.
Relate Selling Price (SP) to Marked Price (MP) using the discount:
A 5% discount is offered on card payment, which means the SP is 95% of the MP.
\[ \text{SP} = \text{MP} - (5\% \text{ of MP}) = \text{MP} \times \left(1 - \frac{5}{100}\right) = \text{MP} \times \frac{95}{100} \]
We know \( \text{SP} = \text{₹}110 \). So,
\[ 110 = \text{MP} \times \frac{95}{100} \]
Now, calculate the Marked Price (MP):
\[ \text{MP} = 110 \times \frac{100}{95} = \frac{11000}{95} \]
Simplify the fraction:
\[ \text{MP} = \frac{2200}{19} \text{ (by dividing numerator and denominator by 5)} \]
Calculate the percentage above Cost Price:
We need to find how much percentage the MP is above the CP.
Difference \( = \text{MP} - \text{CP} = \frac{2200}{19} - 100 \)
\[ \text{Difference} = \frac{2200 - (100 \times 19)}{19} = \frac{2200 - 1900}{19} = \frac{300}{19} \]
Percentage above CP \[= \frac{\text{Difference}}{\text{CP}} \times 100\%\]
\[ \text{Percentage above CP} = \frac{\frac{300}{19}}{100} \times 100\% \]
\[ \text{Percentage above CP} = \frac{300}{19}\% \]
Convert the improper fraction to a mixed fraction:
\[ \frac{300}{19} = 15 \frac{15}{19}\% \]
Correct Option: D) 15 \( \frac{15}{19} \) %
This is a syllogism problem, which can be solved using Venn diagrams or by combining the given statements logically. We need to find a conclusion that necessarily follows from the two given statements.
Correct Option: C) All guitars are bagpipes.
This is a classic work-and-time problem. We need to find the combined rate of work when two individuals work together. The key idea is to calculate the amount of work each person can do in one day and then sum their daily work rates to find their combined daily work rate. The reciprocal of the combined daily work rate will give the total time taken to complete the work together.
B) 12 days is the correct answer. This is obtained by calculating their individual daily work rates, summing them, and then taking the reciprocal to find the total time.
The question asks for the headquarters of UNESCO. This is a factual question related to international organizations, which is a common topic in general knowledge sections of competitive exams. Recalling the location of major international bodies is key.
Correct Option: B) Paris
The problem involves a fundamental theorem in circle geometry: the angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle. We are given the angle subtended at a point on the circumference and need to find the angle subtended by the same arc at the center.
Correct Option: B) 95°