Relationships
1. If X is the brother of the son of Y`s son, how is X related to Y?
A. Son
B. Brother
C. Cousin
D. Grandson
E. Uncle
Answer: Option (D)
Explanation:
Son of Y's son -- Grandson;
Brother of Y's grandson -- Y's grandson.
2. Pointing to a man in a photograph, a woman said, "His brother`s father is the only son of my grandfather.' How is the woman related to the man in the photograph?
A. Mother
B. Aunt
C. Sister
D. Daughter
E. Grandmother
Answer: Option (C)
Explanation:
Only son of woman's grandfather -- Woman's father;
Man's brother's father -- Man's father.
So, the woman is a man's sister.
3. Deepak is the brother of Ravi. Rekha is the sister of Atul. Ravi is the son of Rekha. How is Deepak related to Rekha?
A. Son
B. Brother
C. Nephew
D. Father
Answer: Option (A)
Explanation:
Deepak is the son of Ravi, who is the son of Rekha.
Thus, Deepak is the son of Rekha.
4. A is the father of C and D is the son of B. E is the brother of A. If C is the sister of D, how is B related to E?
A. Daughter
B. Brother-in-Law
C. Husband
D. Sister-in-Law
Answer: Option (A)
Explanation:
A is the father of C and C is the sister of D.
So, A is the father of D. But D is the son of B.
So, B is the mother of D and wife of A. Also, E is the brother of A.
So, B is the sister-in-law of E.
5. A is the son of B. C, B`s sister has a son D and a daughter E. F is the maternal uncle of D.
How many nephews does F have?
A. Nil
B. One
C. Two
D. Three
Answer: Option (C)
Explanation:
Clearly, F is the maternal uncle of D means F is the brother of D's mother i.e., F.
Analytical Reasoning
1. Find the number of triangles in the given figure.
Answer: Option (B)
Explanation:
The figure may be labeled as shown.
The simplest triangles are BFG, CGH, EFM, FMG, GMN, GHN, HNI, LMK, MNK, and KNJ i.e. 10 in number.
The triangles composed of three components each are FAK and HKD i.e. 2 in number.
The triangles composed of four components each are BEN, CMI, GLJ, and FHK i.e. 4 in number.
The triangles composed of eight components each are BAJ and OLD i.e. 2 in number.
Thus, there are 10 + 2 + 4 + 2 = 18 triangles in the given figure.
2. Find the number of triangles in the given figure.
Answer: Option (C)
Explanation:
The figure may be labeled as shown.
The simplest triangles are AEI, AIH, BEJ, BJF, CFK, CKG, DGL, DLH, EOJ, FOJ, FOG, LOG, HOL and HOE i.e. 14 in number.
The triangles composed of two components each are EAH, FBE, BEO, EOF, BFO, FCG, GDH, HOD, HOG and GOD i.e. 10 in number.
The triangles composed of three components each are EFH, EHG, FGH and EFG i.e. 4 in number.
Thus, there are 14 + 10 + 4 = 28 triangles in the given figure.
3. Find the number of triangles in the given figure.
Answer: Option (C)
Explanation:
The figure may be labeled as shown.
The simplest triangles are ABG, BIG, BIC, CIH, GIH, CDH, HED, GHJ, HJE, FEJ, GFJ and AGF i.e. 12 in number.
The triangles composed of two components each are ABF, CDE, GBC, BCH, GHG, BHG, GHF, GHE, HEF and GEF i.e. 10 in number.
The triangles composed of three components each are ABH, AFH, CDG and GDE i.e. 4 in number.
The triangles composed of four components each are BHF and CGE i.e. 2 in number.
Total number of triangles in the figure = 12 + 10 + 4 + 2 = 28.
4. Find the minimum number of straight lines required to make the given figure.
Answer: Option (B)
Explanation:
The figure may be labeled as shown.
The horizontal lines are AK, BJ, CI, DH and EG i.e. 5 in number.
The vertical lines are AE, LF, and KG i.e. 3 in number.
The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number.
Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.
5. Find the number of triangles in the given figure.
Answer: Option (C)
Explanation:
The figure may be labeled as shown.
The simplest triangles are AML, LRK, KWD, DWJ, JXI, IYC, CYH, HTG, GOB, BOF, FNE, and EMA i.e. 12 in number.
The triangles composed of two components each are AEL, KDJ, HIC and FBG i.e. 4 in number.
The triangles composed of three components each are APF, EQB, BQH, GVC, CVJ, IUD, DUL and KPA i.e. 8 in number.
The triangles composed of six components each are ASB, BSC, CSD, DSA, AKF, EBH, CGJ, and IDL i.e. 8 in number.
The triangles composed of twelve components each are ADB, ABC, BCD and CDA i.e. 4 in number.
Total number of triangles in the figure = 12 + 4 + 8 + 8 + 4 = 36.
Syllogism
Direction (1 - 5): In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Give answer:
A. If only (1) conclusion follows
B. If only (2) conclusion follows
C. If either (1) or (2) follows
D. If neither (1) nor (2) follows and
E. If both (1) and (2) follow.
1. Statements: Some dogs are bats. Some bats are cats.
Conclusions:
I. Some dogs are cats.
II. Some cats are dogs.
A. Only (1) conclusion follows
B. Only (2) conclusion follows
C. Either (1) or (2) follows
D. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Answer: Option (D)
Explanation:
2. Statements: All the trucks are flies. Some scooters are flies.
Conclusions:
I. All the trucks are scooters.
II. Some scooters are trucks.
A. Only (1) conclusion follows
B. Only (2) conclusion follows
C. Either (1) or (2) follows
D. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Answer: Option (D)
Explanation:
3. Statements: All buildings are chalks. No chalk is toffee.
Conclusions:
I. No building is toffee
II. All chalks are buildings.
A. Only (1) conclusion follows
B. Only (2) conclusion follows
C. Either (1) or (2) follows
D. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Answer: Option (A)
Explanation:
4. Statements: All cars are cats. All fans are cats.
Conclusions:
I. All cars are fans.
II. Some fans are cars.
A. Only (1) conclusion follows
B. Only (2) conclusion follows
C. Either (1) or (2) follows
D. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Answer: Option (D)
Explanation:
5. Statements: Some cows are crows. Some crows are elephants.
Conclusions:
I. Some cows are elephants.
II. All crows are elephants.
A. Only (1) conclusion follows
B. Only (2) conclusion follows
C. Either (1) or (2) follows
D. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Answer: Option (D)
Explanation:
Jumbling
Direction(1 - 5): A, B, C, D, and E are five towns out of which two are hill stations and the rest are in plain. Two towns, which are in plain, are harbors. Four towns out of five are capitals and two are industrial towns. The population of two towns is less than 5 lacs. It is 20 lacs of one town and more than 50lacs of two towns. Two towns are on the same latitudes and the other two are on the same longitudes. Latitudes and longitudes of both harbors are different and out of these one is an industrial town. The population of both industrial towns is more than 50 lacs. The longitudes of one hill station and one of the industrial towns are the same. The latitudes and longitudes of the other hill station and other harbor are different. One industrial town is neither a hill station nor a harbor. None of the hill stations is an industrial town. The hill station of which longitudes of A and E are same. E is a harbor. The latitudes of D and C are the same and the population of D is 20 lacs. Both the harbors are capitals and one of them is an industrial town.
1. Which of the following two towns are those whose population is less than 5 lacs?
A. D and A
B. B and C
C. A and B
D. A and C
E. None of these
Answer: Option (C)
Explanation:
We analyze the given information as follows :
Two are hill station.
Three are plains of which two are harbors.
Four towns are capitals.
Two towns are industrial.
Two towns have a population less than 5 lacs.
One town has a population of 20 lacs.
Two towns have a population of more than 50 lacs.
Two towns are on same latitudes.
B is a hill station. E is a harbor. Clearly, A which has the same longitude as E, cannot be a harbor and clearly, D having population 20 lacs cannot be an industrial town. So, it is a harbor. Thus, E and D are harbored.
Clearly, one harbor is an industrial town but D is not. So, E is an industrial town with a population of more than 50 lacs. Clearly, longitudes of a hill station and industrial town are the same. So, A having the same longitude as E is a hill station. Latitudes of D and C are same and D is a harbor. So, C cannot be a hill station. So, B is the other hill station. Thus, three plains are C, D, E. One industrial town is neither a hill station nor a harbor. So, C is an industrial town with a population of more than 50 lacs. Clearly, both harbors are capitals. So, E and D are capitals. The hill station A, having the same longitude as a harbor, is also a capital. The population of D is 20 lacs. So, the population of A and B is less than 5 lacs. Clearly, only one hill station is the capital. So, C is the other capital.
Clearly, the population of A and B is less than 5 lacs.
2. Which of the following towns is not a capital?
Answer: Option (E)
Explanation:
We analyze the given information as follows :
Two are hill station.
Three are plains of which two are harbors.
Four towns are capitals.
Two towns are industrial.
Two towns have a population less than 5 lacs.
One town has a population of 20 lacs.
Two towns have a population more than 50 lacs.
Two towns are on same latitudes.
B is a hill station. E is a harbor. Clearly, A which has the same longitude as E, cannot be a harbor and clearly, D having population 20 lacs cannot be an industrial town. So, it is a harbor. Thus, E and D are harbored.
Clearly, one harbor is an industrial town but D is not. So, E is an industrial town with a population of more than 50 lacs. Clearly, longitudes of a hill station and industrial town are the same. So, A having the same longitude as E is a hill station. Latitudes of D and C are same and D is the harbor. So, C cannot be a hill station. So, B is the other hill station. Thus, three plains are C, D, E. One industrial town is neither a hill station nor a harbor. So, C is an industrial town with a population of more than 50 lacs. Clearly, both harbors are capitals. So, E and D are capitals. The hill station A, having the same longitude as a harbor, is also a capital. The population of D is 20 lacs. So, the population of A and B is less than 5 lacs. Clearly, only one hill station is the capital. So, C is the other capital.
Clearly, B is not a capital.
3. Which of the following is the harbor, capital, and industrial town?
Answer: Option (D)
Explanation:
We analyze the given information as follows :
Two are hill station.
Three are plains of which two are harbors.
Four towns are capitals.
Two towns are industrial.
Two towns have a population less than 5 lacs.
One town has a population of 20 lacs.
Two towns have a population more than 50 lacs.
Two towns are on same latitudes.
B is a hill station. E is a harbor. Clearly, A which has the same longitude as E, cannot be a harbor and clearly, D having population 20 lacs cannot be an industrial town. So, it is a harbor. Thus, E and D are harbored.
Clearly, one harbor is an industrial town but D is not. So, E is an industrial town with a population of more than 50 lacs. Clearly, longitudes of a hill station and industrial town are the same. So, A having the same longitude as E is a hill station. Latitudes of D and C are same and D is the harbor. So, C cannot be a hill station. So, B is the other hill station. Thus, three plains are C, D, E. One industrial town is neither a hill station nor a harbor. So, C is an industrial town with a population of more than 50 lacs. Clearly, both harbors are capitals. So, E and D are capitals. The hill station A, having the same longitude as a harbor, is also a capital. The population of D is 20 lacs. So, the population of A and B is less than 5 lacs. Clearly, only one hill station is the capital. So, C is the other capital.
Harbors are E and D, capitals are A, C, D, and E and industrial towns are C and E. So, E is the harbor, capital, and industrial town.
4. Which of the following towns have a population more than 50 lacs?
A. A and D
B. B and E
C. C and E
D. C and D
E. A and C
Answer: Option (C)
Explanation:
We analyze the given information as follows :
Two are hill station.
Three are plains of which two are harbors.
Four towns are capitals.
Two towns are industrial.
Two towns have a population less than 5 lacs.
One town has a population of 20 lacs.
Two towns have a population of more than 50 lacs.
Two towns are on same latitudes.
B is a hill station. E is a harbor. Clearly, A which has the same longitude as E, cannot be a harbor and clearly, D having population 20 lacs cannot be an industrial town. So, it is a harbor. Thus, E and D are harbored.
Clearly, one harbor is an industrial town but D is not. So, E is an industrial town with a population of more than 50 lacs. Clearly, longitudes of a hill station and industrial town are the same. So, A having the same longitude as E is a hill station. Latitudes of D and C are same and D is the harbor. So, C cannot be a hill station. So, B is the other hill station. Thus, three plains are C, D, E. One industrial town is neither a hill station nor a harbor. So, C is an industrial town with a population of more than 50 lacs. Clearly, both harbors are capitals. So, E and D are capitals. The hill station A, having the same longitude as a harbor, is also a capital. The population of D is 20 lacs. So, the population of A and B is less than 5 lacs. Clearly, only one hill station is the capital. So, C is the other capital.
Clearly, the industrial towns C and E have a population of more than 50 lacs.
5. Which one of the following towns is hill station as well as capital?
Answer: Option (E)
Explanation:
We analyze the given information as follows :
Two are hill station.
Three are plains of which two are harbors.
Four towns are capitals.
Two towns are industrial.
Two towns have a population less than 5 lacs.
One town has a population of 20 lacs.
Two towns have a population of more than 50 lacs.
Two towns are on same latitudes.
B is a hill station. E is a harbor. Clearly, A which has the same longitude as E, cannot be a harbor and clearly, D having population 20 lacs cannot be an industrial town. So, it is a harbor. Thus, E and D are harbored.
Clearly, one harbor is an industrial town but D is not. So, E is an industrial town with a population of more than 50 lacs. Clearly, longitudes of a hill station and industrial town are the same. So, A having the same longitude as E is a hill station. Latitudes of D and C are same and D is the harbor. So, C cannot be a hill station. So, B is the other hill station. Thus, three plains are C, D, E. One industrial town is neither a hill station nor a harbor. So, C is an industrial town with a population of more than 50 lacs. Clearly, both harbors are capitals. So, E and D are capitals. The hill station A, having the same longitude as a harbor, is also a capital. The population of D is 20 lacs. So, the population of A and B is less than 5 lacs. Clearly, only one hill station is the capital. So, C is the other capital.
The capitals are A, C, D and E. The hill stations are A and B. So, A is a hill station as well as a capital.
Venn Diagrams
1. Which of the following diagrams indicates the best relation between Rabi-Crop, Paddy and Wheat?
Answer: Option (A)
Explanation:
Wheat and Paddy are different from each other but Wheat is the Rabi-Crop.
2. Which of the following diagrams indicates the best relation between Ass, Pet and Horse?
Answer: Option (D)
Explanation:
Ass and Horse are different from each other but both are pet.
3. Which of the following diagrams indicates the best relation between Teacher, Men, and Women?
Answer: Option (D)
Explanation:
Men and Women are different from each other but some men may be teachers and some women may be teachers.
4. Which of the following diagrams indicates the best relation between Oil, Wick, and Lamp?
Answer: Option (D)
Explanation:
Oil and Wick are different from each other but they both are used in the lamp.
5. Which of the following diagrams indicates the best relation between Football, Player and Field?
Answer: Option (C)
Explanation:
Football, Players and Field all are different.
Puzzle
1. Which number replaces the question mark?
Answer: Option (C)
Explanation:
The diagram contains two diamonds of 3x3 circles, arranged side by side, with the central 4 circles overlapping. Starting in the central left circle of each diamond, the numbers from 1 to 9 are written in lines, moving up and to the right. In the circles where the diamonds overlap, the values are added together to give the ones shown on the final diagram.
2. Which number replaces the question mark?
Answer: Option (B)
Explanation:
Add up the four outer numbers and place your answer in the centre square of the shape one place clockwise.
3. Which number replaces the question mark?
Answer: Option (C)
Explanation:
Split the grid in half vertically, to give two columns, 3 squares wide. Working from top to bottom, left then right, and reading each 3 square row as a whole 3 digit number, the columns follow the sequence of square numbers, from 10 to 21.
4. Which number replaces the question mark?
Answer: Option (D)
Explanation:
Taking any series of 3 numbers in a straight line in the diagram, their total is always 19.
5. Which number replaces the question mark?
Answer: Option (D)
Explanation:
Working from the top row, add the values in adjacent boxes and put this sum in the box directly below, working towards the centre. Repeat this pattern starting at the bottom row as well.