Consider the following:

1. A + B means A is the son of B.
2. A – B means A is the wife of B.

What does the expression $P + R – Q$ mean?

A, B, C, D, E, F, G, and H are standing in a row facing North.

1. B is not the neighbor of G.
2. F is to the immediate right of G and the neighbor of E.
3. G is not at the extreme end.
4. A is sixth to the left of E.
5. H is sixth to the right of C.

Which one of the following is correct in respect of the above?

A bag contains 20 balls: 8 balls are green, 7 are white, and 5 are red. What is the minimum number of balls that must be picked up from the bag blindfolded (without replacing any of them) to be assured of picking at least one ball of each color?

Mean $<$ Median $<$ Mode, then the distribution is

A, B, C, D, E, F, and G are Lecturers from different cities — Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai, and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics, and Statistics (not necessarily in the same order). Further:

1. Lecturer from Kanpur is specialized in Geography.
2. Lecturer D is from Shillong.
3. Lecturer C from Delhi is specialized in Sociology.
4. Lecturer B is specialized in neither History nor Mathematics.
5. Lecturer A who is specialized in Economics does not belong to Hyderabad.
6. Lecturer F who is specialized in Commerce belongs to Srinagar.
7. Lecturer G who is specialized in Statistics belongs to Chennai.

Who is specialized in Geography?

A, B, C, D, E, F, and G are Lecturers from different cities — Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai, and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics, and Statistics (not necessarily in the same order). Further:

1. Lecturer from Kanpur is specialized in Geography.
2. Lecturer D is from Shillong.
3. Lecturer C from Delhi is specialized in Sociology.
4. Lecturer B is specialized in neither History nor Mathematics.
5. Lecturer A who is specialized in Economics does not belong to Hyderabad.
6. Lecturer F who is specialized in Commerce belongs to Srinagar.
7. Lecturer G who is specialized in Statistics belongs to Chennai.

Who of the following belongs to Hyderabad?

The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?

If second and fourth Saturdays and all the Sundays are taken as only holidays for an office, what would be the minimum number of possible working days of any month of any year?

In a group of six women, there are four tennis players, four postgraduates in Sociology, one postgraduate in Commerce, and three bank employees. Vimala and Kamla are the bank employees while Amala and Komala are unemployed. Komala and Nirmala are among the tennis players. Amala, Kamla, Komala, and Nirmala are postgraduates in Sociology, of whom two are bank employees. If Shyamala is a postgraduate in Commerce, who among the following is both a tennis player and a bank employee?

In a school, there are five teachers A, B, C, D and E, A and B teach Hindi and English. C and B teach English and Geography. D and A teach Mathematics and Hindi. E and B teach History and French. Who teaches the maximum number of subjects?

Eight railway stations A, B, C, D, E, F, G, and H are connected either by two-way passages or one-way passages. One-way passages are from C to A, E to G, B to F, D to H, G to C, E to C, and H to G. Two-way passages are between A and E, G and B, F and D, and E and D.

In how many different ways can a train travel from F to A without passing through any station more than once?

No supporters of ‘party X’, who knew Z and supported his campaign strategy, agreed for the alliance with ‘party Y’; but some of them had friends in ‘party Y’.

With reference to the above information, consider the following statements:

1. Some supporters of ‘party X’ knew Z.
2. Some supporters of ‘party X’, who opposed Z’s campaign strategy, knew Z.
3. No supporters of ‘party X’ supported Z’s campaign strategy.

Which of the statements given above is/are not correct?

There are thirteen 2-digit consecutive odd numbers. If 39 is the mean of the first five such numbers, then what is the mean of all the thirteen numbers?

Eight railway stations A, B, C, D, E, F, G, and H are connected either by two-way passages or one-way passages. One-way passages are from C to A, E to G, B to F, D to H, G to C, E to C, and H to G. Two-way passages are between A and E, G and B, F and D, and E and D.

If the route between G and C is closed, which one of the following stations need not be passed through while travelling from H to C?

Four tests — Physics, Chemistry, Mathematics and Biology are to be conducted on four consecutive days, not necessarily in the same order. The Physics test is held before the test which is conducted after Biology. Chemistry is conducted exactly after two tests are held. Which is the last test held?

In a certain code, ‘256’ means ‘red colour chalk’, ‘589’ means ‘green colour flower’ and ‘254’ means ‘white colour chalk’. The digit in the code that indicates ‘white’ is:

A, B, C, D, E, F, and G are Lecturers from different cities — Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai, and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics, and Statistics (not necessarily in the same order). Further:

1. Lecturer from Kanpur is specialized in Geography.
2. Lecturer D is from Shillong.
3. Lecturer C from Delhi is specialized in Sociology.
4. Lecturer B is specialized in neither History nor Mathematics.
5. Lecturer A who is specialized in Economics does not belong to Hyderabad.
6. Lecturer F who is specialized in Commerce belongs to Srinagar.
7. Lecturer G who is specialized in Statistics belongs to Chennai.

To which city does the Lecturer specialized in Economics belong?

Six boys A, B, C, D, E and F play a game of cards. Each has a pack of 10 cards. F borrows 2 cards from A and gives away 5 to C, who in turn gives 3 to B while B gives 6 to D who passes on 1 to E. Then the number of cards possessed by D and E is equal to the number of cards possessed by:

Consider the following relationships among members of a family of six persons A, B, C, D, E, and F:

1. The number of males equals that of females.
2. A and E are sons of F.
3. D is the mother of two, one boy and one girl.
4. B is the son of A.
5. There is only one married couple in the family at present.

Which one of the following inferences can be drawn from the above?

If 2 boys and 2 girls are to be arranged in a row so that the girls are not next to each other, how many possible arrangements are there?

The age of Mr. X last year was the square of a number and it would be the cube of a number next year. What is the least number of years he must wait for his age to become the cube of a number again?

No supporters of ‘party X’, who knew Z and supported his campaign strategy, agreed for the alliance with ‘party Y’; but some of them had friends in ‘party Y’.

With reference to the above information, which one among the following statements must be true?

15 students failed in a class of 52. After removing the names of failed students, a merit order list has been prepared in which the position of Ramesh is 22nd from the top. What is his position from the bottom?

A 2-digit number is reversed. The larger of the two numbers is divided by the smaller one. What is the largest possible remainder?

P = $(40\%$ of A) + (65%$of B)$ and Q = $(50\%$ of A) + (50%$of B)$, where A is greater than B.

In this context, which of the following statements is correct?

Statement: Good voice is a natural gift but one has to keep practising to improve and excel well in the field of music.

Conclusions: I. Natural gifts need nurturing and care. II. Even though one’s voice is not good, one can keep practising.

Which one of the following is correct in respect of the above statement and conclusions?

P works thrice as fast as Q, whereas P and Q together can work four times as fast as R. If P, Q, and R together work on a job, in what ratio should they share the earnings?

Eight railway stations A, B, C, D, E, F, G, and H are connected either by two-way passages or one-way passages. One-way passages are from C to A, E to G, B to F, D to H, G to C, E to C, and H to G. Two-way passages are between A and E, G and B, F and D, and E and D.

While travelling from C to H, which one of the following stations must be passed through?