Logical Reasoning & Analytical Ability

Following is a matrix of certain entries. The entries follow a certain trend row-wise. Choose the missing entry (?) accordingly.

What is the value of ‘X’ in the sequence 2, 7, 22, 67, 202, X, 1822?

Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are under 25 years of age. Which one of the following statements is certainly correct?

A statement followed by Conclusion-I and Conclusion-II is given below. You have to take the statement to be true even if it seems to be at variance from the commonly known facts. Read all Conclusions and then decide which of the given Conclusion(s) logically follows/follow from the statement, disregarding the commonly known facts.

Statement: Some cats are almirahs. Some almirahs are chairs. All chairs are tables.
Conclusion-I: Certainly some almirahs are tables.
Conclusion-II: Some cats may not be chairs.
Which one of the following is correct?

Which day is 10th October, 2027?

In the English alphabet, the first 4 letters are written in opposite order; and the next 4 letters are written in opposite order and so on; and at the end Y and Z are interchanged.
Which will be the fourth letter to the right of the 13^th letter?

In a code language 'MATHEMATICS' is written as 'LBSIDNZUHDR'. How is CHEMISTRY' written in that code language?

X said Y, “At the time of your birth I was twice as old as you are at present.” If the present age of X is 42 years, then consider the following statements:

Which of the above statements is/are correct?

Consider two Statements and a Question:

Statement-1: Each of A and D is heavier than each of B, E and F, but none of them is the heaviest.
Statement-2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A, B, C, D and E?
Which one of the following is correct in respect of the Statements and the Question?

Replace the incorrect term by the correct term in the given sequence 3, 2, 7, 4, 13, 10, 21, 18, 31, 28, 43, 40 where odd terms and even terms follow the same pattern.

You are given two identical sequences in two rows:

What is the entry in the place of C for the Sequence-II?

Seven books P, Q, R, S, T, U and V are placed side by side. R, Q and T have blue covers and other books have red covers. Only S and U are new books and the rest are old. P, R and S are law reports; the rest are Gazetteers. Books of old Gazetteers with blue covers are

Consider the following arrangement that has some missing letters:

abab_b_bcb_dcdcded_d
The missing letter which complete the arrangement are:

‘A’ is sixteenth from the left end in a row of boys and ‘V’ is eighteenth from the right end. ‘G’ is eleventh from ‘A’ towards the right and third from ‘V’ towards the right end. How many boys are there in the row?

Two statements S1 and S2 are given below with regard to four numbers P, Q, R, and S followed by a Question:

Among four numbers P, Q, R, and S which one is the largest?

Which one of the following is correct in respect of the above statements and the Question?

Two Statements are given followed by two Conclusions:

Statements:

1. All numbers are divisible by 2.
2. All numbers are divisible by 3.

1. All numbers are divisible by 6.

1. All numbers are divisible by 4.

The letters from A to Z are numbered from 1 to 26 respectively. If GHI = 1578 and DEF = 912, then what is ABC equal to?

Two statements S1 and S2 are given below followed by a Question:

S1: n is a prime number
S2: n leaves a remainder of 1 when divided by 4.
If n is a unique natural number between 10, and 20, then what is n?
Which one of the following is correct in respect of the above statements and the Question?

If in a particular year 12 January is a Sunday, then which one of the following is correct?

Three statements S1, S2, and S3 are given below followed by a Question:

Who among A, B, C and D are the youngest?
Which one of the following is correct in respect of the above statements and the Question?

What is the missing term @ in the following?
ACPQ: BESU: MNGI: @

Two statements S1 and S2 are given below with regard to two numbers followed by a Question:

What are the two numbers?
Which one of the following is correct in respect of the above statements and the Question?

A simple mathematical operation in each number of the sequence 14, 18, 20, 24, 30, 32 … results in a sequence with respect to prime numbers which one of the following is the next number in the sequence?

Consider the following sequence of numbers:
5 1 4 7 3 9 8 5 7 2 6 3 1 5 8 6 3 8 5 2 2 4 3 4 9 6
How many odd numbers are followed by the odd number in the above sequence?

A family of two generations consisting of six members P, Q, R, S, T, and U has three males and three females. There are two married couples and two unmarried siblings. U is P’s daughter and Q is R’s mother-in-law. T is an unmarried male and S is a male. Which one of the following is correct?

Two statements S1 and S2 are given below followed by a Question:

S1: There are not more than two figures on any page of a 51–page book.
S2: There is at least one figure on every page.
Are there more than 100 figures in that book?
Which one of the following is correct in respect of the above statements and the Question?

In 2002, Meenu's age was one-third of the age of Meera, whereas in 2010, Meenu's age was half the age of Meera. What is Meenu's year of birth?

If every alternative letter of the English alphabet from B onwards (including B) is written in lower case (small letters) and the remaining letters are capitalized, then how is the first month of the second half of the year written?

What is X in the sequence 132, 129, 124, 117, 106, 93, X?

In a school, 60% students play cricket. A student, who does not play cricket, plays football. Every football player has got a two-wheeler.

Which of the following conclusions cannot be drawn from the above data?

A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.

Consider the following statements:

To ensure that any two consecutive floors have different colours.

If F stands second in the ranking, then the position of B is

If B scores the least, the rank of C will be

In the sequence 1, 5, 7, 3, 5, 7, 4, 3, 5, 7, how many such 5s are there which are not immediately preceded by 3 but are immediately followed by 7?

If $ means ‘divided by’; @ means ‘multiplied by’; # means ‘minus’, then the value of 10#5@1$5 is

Mr. ‘X’ has three children. The birthday of the first child falls on the 5th Monday of April, that of the second one falls on the 5th Thursday of November. On which day is the birthday of his third child, which falls on 20th December?

If E is ranked third, then which one of the following is correct?

What is X in the sequence 4, 196, 16, 144, 36, 100, 64, X?

Which year has the same calendar as that of 2009?

Consider two statements S1 and S2 followed by a question:

S1: p and q both are prime numbers.
S2: p + q is an odd integer.
Question: Is pq an odd integer?
Which one of the following is correct?

Read the following statements SI and S2 and answer the item that follow:

S1: Twice the weight of Sohan is less than the weight of Mohan or that of Rohan.
S2: Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan.
Which one of the following statements is correct?

A solid cube is painted yellow, blue and black such that opposite faces are of same colour. The cube is then cut into 36 cubes of two different sizes such that 32 cubes are small and the other four cubes are Big. None of the faces of the bigger cubes is painted blue. How many cubes have only one face painted?

A joint family consists of seven members A, B, C, D, E, F and G with three females. G is a widow and sister in-law of D’s father F. B and D are siblings and A is daughter of B. C is cousin of B. Who is E?

Consider the following sequence that follows some arrangement:
c_accaa_aa_bc_b
The letters that appear in the gaps are

All members of a club went to Mumbai and stayed in a hotel. On the first day, 80% went for shopping and 50% went for Sightseeing, whereas 10% took rest in the hotel. Which of the following conclusion(s) can be drawn from the above data?

Select the correct answer using the code given below:

A wall clock moves 10 minutes fast in every 24 hours. The clock was set right to show the correct time at 8:00 a.m. on Monday. When the clock shows the time 6:00p.m. on Wednesday, what is the correct time?

Consider the following Statements and Conclusions:

Statements:

Conclusions:

Which of the above conclusions is/are drawn from the statements?

Read the following statements SI and S2 and answer the item that follow:

S1: Twice the weight of Sohan is less than the weight of Mohan or that of Rohan.
S2: Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan.
Which one of the following statements is correct?

A, B, C and D are students. They are studying in four different cities, namely in P, Q, R and S (not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different states, such as Gujarat, Rajasthan, Assam and Kerala (not necessarily in that order). Further, it is given that

Which one of the following statements is correct regarding Engineering College?

A, B, C and D are students. They are studying in four different cities, namely in P, Q, R and S (not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different states, such as Gujarat, Rajasthan, Assam and Kerala (not necessarily in that order). Further, it is given that

C is studying in:

If LSJXVC is the code for MUMBAI, then the code for DELHI is

A, B, C and D are students. They are studying in four different cities, namely in P, Q, R and S (not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different states, such as Gujarat, Rajasthan, Assam and Kerala (not necessarily in that order). Further, it is given that

Which one of the following statements is correct?

The plan of an office block for six officers A, B, C, D, E and F is as follows. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F’s office is further down the corridor than A’s, but on the same side.
If E sits in his office and faces the corridor, whose office is to his left?

Lakshmi, her brother, her daughter and her son are badminton players. A game of doubles is about to begin and they play in the following directions.

Who is the best player?

If
Pen < Pencil,
Pencil < Book and
Book > Cap,
Then which one of the following is always true?

Consider the following pattern of numbers:
8 10 15 13
6 5 7 4
4 6 8 8
6 11 16 ?
What is the number at (?) in the above pattern?

A, B, C and D are students. They are studying in four different cities, namely in P, Q, R and S (not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different states, such as Gujarat, Rajasthan, Assam and Kerala (not necessarily in that order). Further, it is given that

A is studying in:

A, B, C and D are students. They are studying in four different cities, namely in P, Q, R and S (not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different states, such as Gujarat, Rajasthan, Assam and Kerala (not necessarily in that order). Further, it is given that

Science College is located in:

The plan of an office block for six officers A, B, C, D, E and F is as follows. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F’s office is further down the corridor than A’s, but on the same side.

Who is/are Fs immediate neighbour(s)?

If RAMON is written as 12345 and DINESH as 675849, then HAMAM will be written as

Consider the sequence given below:

4/12/95, 1/1/96, 29/1/96, 26/2/96, ……....

What is the next term of the series?

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?

Really I think that the poorest he that is in England has a life to live, as the greatest he, and therefore truly, I think it is clear that every man that is to live under a government ought first by his own consent to put himself under the government, and I do think that the poorest man in England is not at all bound in a strict sense to that government that he has not had a voice to put himself under.

The above statement argues for

The sum of income of A and B is more than that of C and D when 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?

Consider the given information and answer the three questions that follow. A, B, C, D, E, F and G are Lecturers from different cities such as 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, namely in Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). Further:

To which city does the Lecturer specialized in Economics belong?

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?

Consider the following:

A + B means A is the son of B.
A – B means A is the wife of B.
What does the expression P + R – Q mean?

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

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 maximum number of subjects?

A watch loses 2 minutes in every 24 hours. while another watch gains 2 minutes in every 24 hours. At a particular instant, the two watches Showed an identical time. Which of the following statements is correct if 24-hour clock is followed?

Statements: All painters are poets. X is a poet.

Conclusions:

1. X is a painter.
2. X is not a painter.

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

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

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

The States are like pearls and the Centre is the thread which turns them into a necklace; if the thread snaps, the pearls are scattered. Which one of the following views corroborates the above statement?

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:

Which of the statements is/are not correct?

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

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?

In a test, Randhir obtained more marks than the total marks obtained by Kunal and Debu. The total marks obtained by Kunal and Shankar are more than those of Randhir. Sonal obtained more marks than Shankar. Neha obtained more marks than Randhir. Who amongst them obtained highest marks?

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?

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?

Consider the given information and answer the three questions that follow. A, B, C, D, E, F and G are Lecturers from different cities such as 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, namely in Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). Further:

Who is specialized in Geography?

Read the following information and answer the questions that follow:

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?

Consider the given statement and the two conclusions that follow:

Statement: Morning walk is good for health.

Conclusions:

What is/are the valid conclusion/conclusions?

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

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

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?

Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E. The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball.
The football is in the box of which colour?

Consider the following statement: “We shall go either for a picnic or for trekking”. Which of the following, if true, would falsify this claim?

There are five persons in a group — P, Q, R, S and T. The group has one doctor, one lawyer and one artist. P and S are unmarried students. T is a man married to one of the group members. Q is the brother of P and is neither doctor nor artist. R is not doctor.

Who is the lawyer?

A ate grapes and pineapple; B ate grapes and oranges; C ate oranges, pineapple and apple; D ate grapes, apple and pineapple. After taking fruits, B and C fell sick. In the light of the above facts, it can be said that the cause of sickness was:

When three friends A, B and C met, it was found that each of them wore an outer garment of a different colour. In random order, the garments are: jacket, sweater and tie; and the colours are: blue, white and black. Their surnames in random order: Ribeiro, Kumar and Singh. Further, we know that:

1. Neither B nor Ribeiro wore a white sweater
2. C wore a tie
3. Singh’s garment was not white
4. Kumar does not wear a jacket
5. Ribeiro does not like to wear the black colour
6. Each of the friends wore only one outer garment of only one colour

What is the colour of the tie?