There are seven persons up on a ladder, A, B, C, D, E, F and G (not in that order). A is further up than E but is lower than C. B is in the middle. G is between A and B, E is between B and F. If F is between E and D, the person on the bottom step of the ladder will be
UPSC - 2014
This is a logical reasoning problem involving the relative positioning of seven persons on a ladder. We need to deduce the exact order of all persons from the given clues and then identify the person on the bottom step.
C) D — Based on the step-by-step deduction, D is the last person in the sequence, meaning D is on the bottom step of the ladder.
Six books are labelled A, B, C, D, E and F and are placed side by side. Books B, C, E and F have green covers while others have yellow covers. Books A, B and D are new while the rest are old volumes. Books A, B and C are law reports while the rest are medical extracts. Which two books are old medical extracts and have green covers?
UPSC - 2014
The problem requires identifying books that satisfy three specific criteria simultaneously: being old volumes, being medical extracts, and having green covers. We will systematically list the properties of each book based on the given information and then filter them according to the required conditions.
B) E and F. These two books satisfy all three conditions: they have green covers, are old volumes, and are medical extracts.
A question paper must have a question on one of the eight poets: A, B, C, D, E, F, G or H. The first four belong to the medieval period While the rest are considered modern poets. Generally, modern poets figure in the question paper in alternate years. Generally those who like H like G also; and those who like F like E also. The paper-setter does not like to ask about F as he has written a book on F, but he likes F. Last year, the paper contained a question on A. On the basis of the information given, this year's paper is most likely to contain a question on
UPSC - 2014
The problem requires us to determine which poet is most likely to be featured in this year's question paper, based on several conditions and past events. We need to categorize the poets, apply the given rules about modern poets, and consider the paper-setter's preferences and last year's question.
Categorize Poets:
Rule for Modern Poets: "Generally, modern poets figure in the question paper in alternate years."
Paper-setter's Preferences:
Eliminate Options based on rules:
Consider the "likes" rule: "Generally those who like H like G also; and those who like F like E also." This rule is about general preferences, not the paper-setter's direct action. The paper-setter's direct action is to avoid asking about F. If F is avoided, then E, who is liked by those who like F, might also be indirectly affected. However, the rule "those who like F like E also" doesn't mean that if F is not chosen, E cannot be chosen. It just states a correlation of liking.
Re-evaluate based on strong constraints:
Final Consideration: The question asks for the *most likely* option. We have eliminated medieval poets and F. Among E, G, and H, there is no further information to distinguish between G and H. However, E is an independent modern poet. Without any negative constraints on E, and with F being explicitly disfavored by the paper-setter for asking questions, E becomes a strong candidate. The statement "those who like F like E also" doesn't mean E won't be chosen if F isn't. It's a general observation about preferences, not a rule for the paper-setter's selection. Since F is out, and G and H have no specific positive or negative constraints, E remains a viable and unconstrained option among the modern poets.
Let's re-examine the "likes" rule. "Generally those who like H like G also; and those who like F like E also." This implies a grouping or association. If the paper-setter avoids F, it might indirectly suggest avoiding E as well, if the paper-setter's dislike of *asking about* F extends to the group associated with F. However, the problem states the paper-setter *likes* F, but doesn't like to *ask* about him because he wrote a book on him. This is a specific reason for avoiding F, not a general dislike of F or his associated poets. Therefore, E is not negatively constrained.
Given that this is a modern poet year, and F is explicitly avoided, E, G, and H are the remaining options. Without any further information to differentiate between G and H, and with no specific negative constraint on E, E is a plausible choice.
Let's consider the options again: C (medieval - out). F (paper-setter avoids asking - out). H (modern). G (modern). E (modern).
The question asks for the *most likely* option. The strongest constraint is the alternate year rule for modern poets, and the paper-setter's avoidance of F.
If the paper-setter likes F, but avoids *asking* about F due to a conflict of interest (having written a book), it doesn't mean he dislikes E. So, E is a strong candidate among modern poets.
B) E is the most likely option. Last year, a medieval poet (A) was chosen, so this year a modern poet must be chosen. The paper-setter explicitly avoids asking about F. This leaves E, G, and H. Without any further information to rule out E, and given the strong constraint against F, E remains a viable and unconstrained choice among the modern poets.
In a group of six women there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while jalaja and Shailaja do not know how to play on the violin. Shailaja and Tanuja are among the dancers. Jalaja, vanaja, shailaja and tanuja are all vocal musicians and two of them are also violinists. If pooja is an actress, who among the following is certainly a dancer and a violinist?
UPSC - 2014
We need to identify a person who is both a dancer and a violinist. We will systematically list the skills of each person mentioned in the problem statement and then deduce the required information.
D) Tanuja is certainly a dancer and a violinist, as deduced from the given statements.
Four persons, Alok, Bhupesh, Chander and Dinesh have a total of ₹ 100 among themselves. Alok and Bhupesh between them have as much money as Chander and Dinesh between them, but Alok has more money than Bhupesh; and Chander has only half the money that Dinesh has. Alok has in fact ₹ 5 more than Dinesh has. Who has the maximum amount of money?
UPSC - 2014
We need to find out who has the maximum amount of money among Alok, Bhupesh, Chander, and Dinesh. We are given several conditions relating their amounts. We will set up equations based on these conditions and solve for the individual amounts.
Let the money Alok, Bhupesh, Chander, and Dinesh have be \(A\), \(B\), \(C\), and \(D\) respectively.
Condition 1: Total money is ₹ 100.
\[ A + B + C + D = 100 \quad \text{(Equation 1)} \]
Condition 2: Alok and Bhupesh between them have as much money as Chander and Dinesh between them.
\[ A + B = C + D \quad \text{(Equation 2)} \]
Substitute Equation 2 into Equation 1:
\[ (C + D) + (C + D) = 100 \]\[ 2(C + D) = 100 \]\[ C + D = 50 \quad \text{(Equation 3)} \]
From Equation 2 and Equation 3:
\[ A + B = 50 \quad \text{(Equation 4)} \]
Condition 3: Chander has only half the money that Dinesh has.
\[ C = \frac{D}{2} \quad \text{or} \quad D = 2C \quad \text{(Equation 5)} \]
Substitute Equation 5 into Equation 3:
\[ C + 2C = 50 \]\[ 3C = 50 \]\[ C = \frac{50}{3} \approx ₹ 16.67 \]
Now find Dinesh's money:
\[ D = 2C = 2 \times \frac{50}{3} = \frac{100}{3} \approx ₹ 33.33 \]
Condition 4: Alok has ₹ 5 more than Dinesh has.
\[ A = D + 5 \quad \text{(Equation 6)} \]
Substitute the value of \(D\) into Equation 6:
\[ A = \frac{100}{3} + 5 = \frac{100 + 15}{3} = \frac{115}{3} \approx ₹ 38.33 \]
Condition 5: Alok has more money than Bhupesh (This is a check, not an equation to solve for values directly).
Now find Bhupesh's money using Equation 4:
\[ A + B = 50 \]\[ \frac{115}{3} + B = 50 \]\[ B = 50 - \frac{115}{3} = \frac{150 - 115}{3} = \frac{35}{3} \approx ₹ 11.67 \]
Let's verify Condition 5: \(A = \frac{115}{3}\) and \(B = \frac{35}{3}\). Since \(115 > 35\), \(A > B\), which is consistent with the given information.
Now, compare the amounts:
Comparing these values, Alok has the maximum amount of money.
Correct Option: A) Alok has ₹ 115/3, which is approximately ₹ 38.33. This is the highest amount among the four individuals.
A, B and C are three places such that there are three different roads from A to B, four different roads from B to C and three different roads from A to C In how many different ways can one travel from A to C using these roads?
UPSC - 2022
The problem asks for the total number of different ways to travel from place A to place C. There are two distinct paths to consider: directly from A to C, or indirectly from A to B and then to C. We will use the fundamental principle of counting (multiplication and addition principles) to find the total number of ways.
Correct Option: C) 15
