The problem can be solved by first calculating the total distance traveled using the average speed and total time. Then, subtract the distance traveled in the first part of the journey to find the distance traveled in the latter part.
B) 70 km
Refer to the following letter series and answer the question:
TYANECMKEWAFHEQAPMNBEDHEKUWS
DANMAWE
How many such consonants are there in the series which are immediately preceded by a vowel and also immediately followed by a vowel?
The problem asks us to identify consonants in a given series that are immediately preceded by a vowel and immediately followed by a vowel. We need to go through the series letter by letter, identify vowels and consonants, and then check the conditions for each consonant.
T Y A N E C M K E W A F H E Q A P M N B E D H E K U W S D A N M A W E
Let's go through the series:
A) Five. As determined by the step-by-step analysis, there are five consonants that fit the given criteria.
This is a logical reasoning problem involving scheduling. We need to assign each person (W, X, Y, Z, A, B, C) to a unique day of the week (Monday to Sunday) based on the given clues. We will create a table for the days of the week and fill it in step-by-step using the provided information.
List the days of the week:
Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday
Use direct information:
"X has to attend a wedding on Friday."
This fixes X's day.
| Day | Person |
|---|---|
| Monday | |
| Tuesday | |
| Wednesday | |
| Thursday | |
| Friday | X |
| Saturday | |
| Sunday |
Use restrictive information:
"Only Z has to attend a wedding before A."
This means Z is immediately before A, and no one else is before A. This implies Z is on Monday and A is on Tuesday.
| Day | Person |
|---|---|
| Monday | Z |
| Tuesday | A |
| Wednesday | |
| Thursday | |
| Friday | X |
| Saturday | |
| Sunday |
Use sequential information:
"C has to attend the wedding immediately after A."
Since A is on Tuesday, C must be on Wednesday.
| Day | Person |
|---|---|
| Monday | Z |
| Tuesday | A |
| Wednesday | C |
| Thursday | |
| Friday | X |
| Saturday | |
| Sunday |
Use negative and comparative information:
"B does not have to attend a wedding on Sunday."
The remaining days are Thursday, Saturday, Sunday. The remaining people are W, Y, B.
Since B cannot be on Sunday, B must be on Thursday or Saturday.
Use relative positioning:
"Y has to attend a wedding on one of the days before B and W."
This means Y must be before both B and W. The available slots are Thursday, Saturday, Sunday.
If Y is before B and W, then Y must take the earliest available slot among the remaining ones, which is Thursday.
If Y is on Thursday, then B and W must be on Saturday and Sunday in some order. This fits the condition that Y is before B and W.
| Day | Person |
|---|---|
| Monday | Z |
| Tuesday | A |
| Wednesday | C |
| Thursday | Y |
| Friday | X |
| Saturday | |
| Sunday |
Final placement:
Now we have Y on Thursday. The remaining days are Saturday and Sunday. The remaining people are B and W.
We know "B does not have to attend a wedding on Sunday."
Therefore, B must be on Saturday.
This leaves W for Sunday.
| Day | Person |
|---|---|
| Monday | Z |
| Tuesday | A |
| Wednesday | C |
| Thursday | Y |
| Friday | X |
| Saturday | B |
| Sunday | W |
The question asks: "On which day of the week does Y have to attend a wedding?"
From our table, Y is on Thursday.
Correct Option: B) Thursday
On which day is a major national festival celebrated every year to commemorate the enactment of the Constitution of India, which declared India to be a sovereign, democratic, and republic state?
The question asks to identify the date on which a major national festival is celebrated annually to commemorate the enactment of the Constitution of India, declaring India a sovereign, democratic, and republic state. This refers to Republic Day.
Correct Option: A) 26th January is celebrated as Republic Day, commemorating the date when the Constitution of India came into effect and India became a republic.
KK Venugopal, the 15th Attorney General of India, received the first extension in his tenure in which of the following years?
The question asks about the year in which K.K. Venugopal, the 15th Attorney General of India, received his first extension. To answer this, we need to recall the timeline of his appointment and subsequent extensions.
Correct Option: D) 2020 — K.K. Venugopal was appointed as the Attorney General in 2017 for a three-year term. His first term was due to end in June 2020, and he received his first extension for one year in 2020.
In the adjoining figure, line l is parallel to m. What is the value of 2x + y?
To find the value of \(2x + y\), we use the properties of parallel lines and angles. The given lines \(l\) and \(m\) are parallel, and the angles formed with the transversal can be analyzed using corresponding and alternate interior angles.
\[2x + y = 2(105^\circ) + 60^\circ = 210^\circ + 60^\circ = 270^\circ\]
Thus, the value of \(2x + y\) is \(270^\circ\).
Correct Option: A) 270°
This is a syllogism problem. We will use Venn diagrams to represent the given statements and then evaluate each conclusion based on these diagrams. We need to find the conclusion(s) that logically follow from the statements.
A) Only conclusion I follows
If the sum of the roots of the quadratic equation 5x2 + bx + 4 = 0 is 9, then find the value of b.
The problem asks us to find the value of 'b' in a given quadratic equation, given the sum of its roots. We will use the standard formula for the sum of the roots of a quadratic equation.
C) -45 is the correct value for 'b'.
A shopkeeper sold a book at a loss of 14%. If the selling price had been increased by Rs 500, there would have been a gain of 6%. What was the cost price of the book?
We are given two scenarios for selling a book: one with a loss and another with a gain, with a specified difference in selling price. We need to find the cost price (CP) of the book. We can set up equations based on the given percentages of loss and gain relative to the cost price and the change in selling price.
Let the Cost Price (CP) of the book be \( \text{Rs } x \).
First scenario: The shopkeeper sold the book at a loss of 14%.
Selling Price (\(\text{SP}_1\)) in this case will be:
\[ \text{SP}_1 = \text{CP} - (14\% \text{ of CP}) \] \[ \text{SP}_1 = x - \frac{14}{100}x = \frac{100x - 14x}{100} = \frac{86x}{100} \]Second scenario: If the selling price had been increased by Rs 500, there would have been a gain of 6%.
The new Selling Price (\(\text{SP}_2\)) would be \( \text{SP}_1 + 500 \).
Also, this \(\text{SP}_2\) corresponds to a 6% gain on the CP:
\[ \text{SP}_2 = \text{CP} + (6\% \text{ of CP}) \] \[ \text{SP}_2 = x + \frac{6}{100}x = \frac{100x + 6x}{100} = \frac{106x}{100} \]Now, we can relate the two selling prices:
\[ \text{SP}_2 = \text{SP}_1 + 500 \]Substitute the expressions for \(\text{SP}_1\) and \(\text{SP}_2\) in terms of \(x\):
\[ \frac{106x}{100} = \frac{86x}{100} + 500 \]Solve for \(x\):
\[ \frac{106x}{100} - \frac{86x}{100} = 500 \] \[ \frac{(106 - 86)x}{100} = 500 \] \[ \frac{20x}{100} = 500 \] \[ \frac{x}{5} = 500 \] \[ x = 500 \times 5 \] \[ x = 2500 \]So, the cost price of the book is Rs 2,500.
Correct Option: A) Rs 2,500
The question asks about the primary function of guard cells in plants. To answer this, we need to recall the structure and function of stomata, where guard cells are located.
C) Transpiration. Guard cells directly control the opening and closing of stomata, which are the primary sites for the release of water vapor during transpiration. Therefore, guard cells are critically involved in regulating the rate of transpiration.