SSC CHSL Topic Wise Study Material – General Intelligence – Other Sub-Topics
After analysing the previous papers, it is seemed that there are some topics which are frequently asked in examination except the topics which have been described earlier.
For the supplement to the students we are preparing a topic named sub-topics including all the remaining topics which have been asked in examinations.
Verbal General Intelligence
(i) Sitting Arrangement
(ii) Cube and Dice
(iii) Watch and Calendar
Non-Verbal General Intelligence
(i) Water and Mirror Images
(ii) Counting of Figures
(iii) Figure Formation
(i) Sitting Arrangement
Sitting arrangement is the process of arranging the persons/objects based on the given information. Generally, information are arranged may be linear, circular, rectangular, square etc., on the basis of conditions provided.
There are three kinds of informations
(i) Definite Information When the place of any subject is definitely mentioned.
(ii) Comparative Information When the place of any subject is not mentioned definitely but in comparison to another subject is mentioned.
(iii) Negative Information A information, does not inform us anything exactly but it gives us a chance to eliminate a possibility.
Types There are two types of questions which are generally asked in various competitive exams.
1. Linear Arrangement In linear arrangement, the objects/persons are arranged in a straight line as per the information provided. Before solving this type of question, it is necessary to know the following facts
Example Six friends A,B,C,D,E and F are sitting in a row facing East. C is between A and E. B is just to the right of E’but left of D. F is not at the right end. How many persons are to the right of ‘E’? ssc (10+2) 2010
2. Circular/Square Arrangement In this type of arrangement, objects/ persons sits around a closed path facing towards or outside the centre on the basis of information provided. Before solving this type of question, it is necessary to know the following facts
In circle (Facing centre)
Example A,B,C,D,E and F are sitting in a circle facing towards centre. D is between F and B. A is second to the left of D and second to the right of E. Who is facing towards D? SSC (10+2) 2012
Directions (Q.Nos. 1-3) Read the following information carefullly and answer the question that follow. SSC (10 + 2) 2014
(i) A, B, C, D, E, F and G are sitting in a circle facing at the centre and playing cards.
(ii) E is neighbor of A and D.
(iii) G is not between F and C.
(iv) F is to the immediate right of A.
1. Which of the following does not have the pair of persons sitting adjacent to each other?
2. Which of the following pairs has the second person sitting immediately to the right of the first?
3. What is the position of F?
(a) Third to the left of C
(b) Second to the right of C
(c) To the immediate left of A
(d) To the immediate right of A
SoL (Q.Nos. 1-3)
According to the question, the circular figure is as
1 (a) B and A are not adjacent to each other.
2. (c) A is sitting immediate right of E.
3. (d) F is immediate right of A.
1. A,P,R, X, S and Z are sitting in a row. S and Z are in the centre and A and P are at the ends. R is sitting on the left of A. Then, who is sitting on the right of P?
2. Five persons are standing in a line. One of the two persons at the extreme ends is a professor and the other a businessman. An advocate is standing to the right of a student. An author is to the left to the businessman. The student is standing between the professor and the advocate. Courting from the left the advocate is at which place?
3. Five friends A,B,C,D and E are standing in a row facing South but not necessarily in the same order. Only B is between A and E, C is immediate right to E and D is immediate left to A. On the basis of above information, which of the following statements is definitely true?
(a) B is to the left of A
(b) D is third to the left of E
(c) B is to the right of E
(d) A is second to the left of C
4. Seven people A,B,C,D,E,F and G are standing in. a single file line, facing a booth. E is somewhere ahead of F. There is exactly one person standing between C and G. D is immediately behind A. F is behind both B and D. If D and C are fourth and fifth in line respectively, then which of the following must be true?
(a) A is first
(b) B is first
(c) F is sixth
(d) F is seventh
Directions (Q.Nos. 5-8) Read the following information carefully and answer the questions that follow.
(i) Eleven students A B, C, D, E, F, G, H, I, J and K are sitting in the first row of the class facing the teacher.
(ii) D, who is to the immediate left of F is second to the right of C.
(iii) A is second to the right of E, who is at one of the ends.
(iv) J is the immediate neighbour of A and B and third to the left of G.
(v) H is to the immediate left of D and third to the right of I.
5. Who is sitting in the middle of the row?
6. Which of the following groups of friends is sitting to the right of G?
7. Which of the following statement is true in the context of the above sitting arrangement?
(a) There are three students sitting between D and G
(b) K is between A and J
(c) B is sitting between J and I
(d) G and C are neighbours sitting to the immediate right of H
8. If E and D, C and B, A and H and K and F interchange their positions, which of the following pairs of students is sitting at the ends?
(a) D and E
(b) E and F
(c) D and K
(d) K and F
Directions (Q.Nos. 9-13) Read the following information carefully and answer the questions that follow.
(i) A, B, C, D, E, F and G are sitting on a wall and all of them are facing East.
(ii) C is on the immediate right of D.
(iii) B is at an extreme end and has E as his neighbour.
(iv) G is between E and F.
(v) D is sitting third from the South end.
9. Who is sitting to the right of E?
10. Which of the following pairs of people are sitting at the extreme ends?
11. Name the person who should change place with C such that he gets the third place from the North end.
12. Immediately between which of the following pairs of people is D sitting?
13. Which of the conditions (i) to (v) given above is not required to find out the place in which A is sitting?
(d)All are required
Hints & Solutions
(ii)Cube & Dice
A cube or dice is a regular polyhedron/ hexahedron having six identical square faces. Questions asked from this topic basically based on three dimensional figure, known as cube and dice. To solve these questions a candidate must have knowledge about the basic concepts of cube and dice.
A cube is three dimensional figure. Cube is a figure which has its length, width and height in equal form and has 8 corners, 6 surfaces and 12 edges.
Example A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been, then cut into one inch cubes. How many cubes have only four faces painted? SSC (10+2) 2010
(a) None four faces painted when solid cube of 4 inches has been painted red, green and black pair of opposite ‘ faces and cut into one inch cubes.
Example A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cut into one inch cubes. How many cubes have only one face painted? ssc (1o+2) 2011
Some Important Facts
If a cube is painted on all of its surfaces with a colour and then divided into smaller cubes of equal size, then after separation, number ! ; of smaller cubes, so obtained will be calculated as under
A dice is three-dimensional figure with 6 surfaces. It may be in the form of a cube or in cuboid, After observing these figures, we have to find the opposite side of the dice.
There are two types of dice
1. Ordinary Dice In ordinary dice, the sum of opposite is not 7 but the sum of adjacent sides are 7.
2. Standard Dice In standard dice, the sum of opposite sides is 7. In other words, we can say that a dice which does not has 7 as total of two adjacent sides known as standard dice.
Example Which number is on the face opposite to 6 in the dice whose four views are given below? SSC (10 + 2) 2012
(a) From dice, 1, 2 and 3 numbers 2, 3, 4 and 5 are adjacent to number 6. Hence, number 1 is opposite to 6.
1. Given below are the different positions of a dice. What shall come in the place of ‘X ’? SSC (10 + 2) 2014
2.From the following two different appearances of dice, find out which colour is opposite to white ? SSC (10 + 2) 2014
(a) From both dices red and yellow faces are common. Hence, third colour blue is opposite to white.
Directions (Q.Nos. 1 and 2) Read the following information and answer the questions that follow.
A cube is coloured red on two opposite faces, blue on two adjacent faces and yellow on two remaining faces. It is then cut into two halves along the plane parallel to the red faces. One piece is then cut into four equal cubes and the other one into 32 equal cubes.
1. How many cubes will not have any coloured faces?
2. How many cubes will not have any red faces?
Directions (Q.Nos. 3-6) Read the following information and answer the questions that follow.
A cube is coloured red on all of its faces. It is then cut into 64 smaller cubes of equal size. The smaller cubes so, obtained are now separated.
3. How many smaller cubes have no surface coloured?
4. How many smaller cubes will have atleast two surfaces painted with red colour?
5. How many smaller cubes have two surfaces painted with red colour?
6. How many smaller cubes have only three surfaces painted with red colour?
7. On the basis of two figures of dice you have to tell what number will be there on the opposite side of number 5?
8.Two positions of a dice are shown below when number 1 is on the top. What number will be there at the bottom?
9.Two positions of a dice are shown below. When there are two dots at the bottom, the number of dots at the top will be
10.Four positions of a dice are given below
Identify the number at the bottom when the top is 3.
Which number is at the opposite of number 5?
Hints & Solutions
(iii)Watch & Calendar
Question asked from this topic is based on watch and calendar. Question asked on watch in examination focus the angles of hands of watch and question asked on calendar in examination refers to the date and day on a prescribed given time period. To solve these questions a candidate must know the term of watch and calendar.
A watch is an instrument used for indicating and maintaining the time dial, hour hand, minute hand, second hand are its components. Dial of a watch is divided in 12 equal parts, each part is known as one hour and one hour is also divided in 5 equal parts, each such part is known as one minute. The Basic structure of a watch is as follows
The clock represents two things i.e minute and hour. The minute is a unit of time equal to 1/60 th of an hour or 60 s
i.e., 1 min =60 s. An hour is a unit of measurement for the time duration of 60 min or 3600 s. i.e.,
1 h =60 min =3600 s
1. See the Movement of Clock
(i) Clock’s long hand or minute hand covers 360° in 60 min.
So, we can say that angle traced by minute hand in 360°
one minute =360°/60 = 6 °
(ii) Clock’s short hand or hour hand covers 360° in 12 h.
So, we can say that angle traced by hour hand in one
hour = 360°/12° = 30°
In 60 min angle traced by hour hand is 30°
In 1 min angle traced by hour hand =30°/60° =1°/2
Relative angle between minute hand and hour hand
= 6° = 11°/2 = 5 1°/2
In other word, minute hand gains 5 1°/2 more than hour hand.
Example At what angle the hands of a clock are inclined at 3 h 40 min? SSC (10+2) 2012
(d) From the formula, 11/2 min – 30 h
According to the question,
Here, min = 40, h = 3
So, required angle 11
= 11/2 x 40 – 30 x 3 = 220 – 90 = 130°
So, the hands of.a clock are inclined at 3 h 40 min at 130°.
2. Coincidence of Hour Hand and Minute Hand
Coincidence means at what time hour hand and minute hand overlap each other.
At 12 o’clock minute hand and hour hand overlap each other.
So, to coincide again, minute hand to cover 360° to cover 360°, it takes = 360°/55
=65 5/11 min
[45 min hand gains 5.5° over hour hand]
3. Incorrectness of a Clock
A clock is said to be incorrect, if it doesn’t show actual time, So, either it gains time or loses time due to incorrectness
When coincidence of minute hand and hour hand takes
less than 65 5/11 min, then clock is said too fast.
When coincidence of minute and hour hand takes more than 65 5/11 min, then clock is said to slow.
Example A clock is set right at 1 pm. If it gains 1 min an hour, what is the true time when the clock indicates. 6 pm the same day?
(a) 40 5/11 min past 5 pm
(b) 55 5/61 min past 5 pm
(c) 45 5/11 min past 5 pm
(d) 56 5/61 min past 5 pm
Calendar measures a day, a month and an year. In other words we can say that calendar is the measurement of a year.
If clock decides our 24 h daily routine, then calendar decides our 365 days of a year. Geographically clocks work on rotation of Earth whereas calendar works on revolution of Earth around Sun. A year has 365 days and 6 h.
So, after every 4 yr these extra 6 h converts into a day which is called a leap year. In questions, asked on the basis of calendar mainly based on odd days concept.
So, first of all understand what a odd days is and how we count this.
Here, in a year of 365 days, there is 1 odd day.
As, 365/52=7-Quotient,Remainder-1 day
As, a year contains 52 weeks.
But for a leap year, odd days = 2
As, a leap year has 365 days.
We are supposed to find the day of the week on a given date. For this, we use the concept of ‘odd days’. In a given period, the number of days more than the complete weeks are called odd days.
1. Every year divisible by 4 is a leap year, if it is not a century.
2. Every 4th century is a leap year and no other century is a leap year.
• A leap year has 366 days.
For An Ordinary Year
The year which is not a leap year is called an ordinary year. An ordinary year has 365 days.
Example If 18th February, 2005 falls on Friday, then what will be the day on 18th February, 2007? SSC (10 + 2) 2011
(a) According to the question,
18th February, 2005 = Friday
So, 18th February, 2006 = Friday + 1 day = Saturday
So, 18th February, 2007 = Saturday + 1 = Sunday
[2005, 2006, and 2007 are ordinary years]
1.If January 1 is a Friday, what is the first day of the month of March in a leap year? SSC (10+2) 2013
(a) Total number of days from January 1 to March 1
= 31 + 29 + 1 = 61 days
February in a leap years = 29 days) =61 ÷ 7
= 8 weeks and 5 odd days
So, the fifth day from Friday = Tuesday
2.If the day before yesterday was Wednesday, when will Sunday be? SSC (10 + 2) 2013
(c) Day after tomorrow
(d) Two days after tomorrow
(c) If the day before yesterday was Wednesday, then today will be Friday and the day after tomorrow will be Sunday.
1. How many times are the hands of a clock at right angles in a day?
2. How many times do the hands of, a clock point towards each other in a day?
3. At what time between 9 and 10 o’clock will the hands of a watch be together?
(a) 35 min past 9
(b) 49 1/11 min past 9
(c) 55 2/11 min past 9
(d) 45 1/11 min past 9
4. At what angle the hands of a clock are inclined at 30 min past 6?
5. What is the angle between the two hands of a clock, when the clock shows 5 h 30 min?
6. If the second day of a month is a Friday, which of the following would be the last day of the next month which has 31 days?
(d) Data inadequate
7. If 30th January, 2003 was Thursday, what was the day on 2nd March, 2003?
8. Reaching the place of meeting 20 min before 8 : 50 h Suresh found himself 30 min earlier, than the man who came 40 min late. What was the scheduled time of the meeting?
(a) 8 : 00
(b) 8 : 05
(c) 8 : 10
(d) 8 : 20
9. The priest told the devotee, ‘The temple bell is rung at regular intervals of 45 min. The last bell was rung 5 min ago. The next bell is due to be rung at 7 : 45 am”. At what time did the priest give this information to the devotee?
(a) 7 : 40 am
(b) 7 : 05 am
(c) 7 : 00 am
(d) 6 : 55 am
10. If 18th February, 2005 falls on Friday, then what will be the day on 18th February, 2007?
11. How many days will there be from 26th January, 2004 to 15th May, 2004 (both days included)?
12. Seema remembers that her father’s birthday was certainly after eighth but before thirteenth of December. Her sister Nirmala remembers that their father’s birthday was definitely after ninth but before fourteenth of December. On which date of December was their father’s birthday?
(d) Data inadequate
13. Kishan remembers that his brother Dev’s birthday falls after 20th May but before 28th May, while Garima remembers that Dev’s birthday falls before 22nd May but after 12th May. On what date Dev’s birthday falls?
(a) 20th May
(b) 21st May
(c) 22nd May
(d) Cannot be determined
14. Ayush leaves his house at 20 min to seven in the morning, reaches Kapil’s house in 25 min, they finish their breakfast in another 15 min and leave for their office which takes another 35 min. At what time do they leave Kapil’s house to reach their office?
(a) 7 : 40 am
(b) 7 : 20 am
(c) 7 : 45 am
(d) 8 : 15 am
15. If 3rd December, 2000 was Sunday, what day was 3rd January, 2001?
Hints & Solutions
(i) Water & Mirror Images
Question asked from this topic refers to the water and mirror image of an object. The question asked in examination mainly divided in two parts, in first part there is a figure which is knows as question figure and in second part there are four figures, from that four figures one belongs to the water or mirror image of the question figure, known as answer figure.
The figure obtained by putting a mirror in front of the real figure is known as mirror image or we can say that the reflection of an object into a mirror is called mirror image.
In the mirror image of an object the lower and upper parts are constant while LHS and RHS get interchanged, means left part of an object becomes right part and right part becomes the left part. Left hand side w Right hand side
Example Which of the answer figure is exactly the mirror image of the given figure, when the mirror is held on the line AB? ssc (10+2) 2011
The reflection of an object into the water is called its water image. It is obtained by inverting an object vertically. The water image of the figure looks like the mirror image of the figure when the mirror is placed horizontally at the bottom of the question figure. The candidate is required to determine how the image of an object would look like in water when it is placed near a water source.
Example Find the water image of the object given in the question figure denoted by (A), out of the figures given in the answer choices, (a), (b), (c) and (d).
1. Find out the mirror image of the given figure. SSC (10+2)2014
2. If a mirror is placed on the line MN, then which of the answer words is the right image of the given word? SSC (10+2) 2013
Directions (Q. NOS. 1-6) In each of the following questions, choose the correct mirror image of the figure given from amongst the four alternatives (a), (b), (c) and (d) given along with it.
Directions (Q.NOS. 7-9) In each of the following questions. Questions figure is followed by four other figures a, b, c, and d. Showing the possible water images of question figure. Choose the correct water image of the question figure out of given four alternatives.
Directions (Q. NOS. 10-12) In each of the following questions, four alternative are given, which follow the word number marked as question. You have to select one alternative, which exactly matches with the mirror image of the word/number in the question.
Directions (Q. NOS. 13-15) In each of the following questions, a word/group of letters or numbers or both is followed by four alternatives a, b, c and d showing possible water image of that word/group of letters or numbers or both. One, out of these four alternatives, is the exact water image of that word/group of letters or numbers or both. Chooses from the alternatives is the correct water image of that word/group of letters or numbers or both.
(ii) Counting of Figures
Counting of figures is the realisation of simple geometrical plane figures from a complex figure. It is designed to test the analytical ability and logical approach of a candidate. The figures which are asked for counting can be a straight line, triangle, square, rectangle, polygon etc.
To find the accurate answer for these question, firstly, a candidate needs to find the required figures formed by individual section of the given figure, then the figure formed by combination of two figure and so on.
Such type of questions are designed to test the analytical and logical approach of a candidate.
Example How many triangles are there in the given question figure? ssc(1o+2) 2012
1. How many rectangles are there in the given figure?
1. How many squares are there in the figure given below?
2. How many triangles are there in the following figures?
3. Total number of squares in the following figures are ?
4. How many triangles are there in the following figure?
5.What is the number of straight lines in the following figure?
6. How many triangles are there in the following figure?
7. How many triangles are there in the following figure?
8. How many triangles are there in the following figure?
9.How many circles are there in this figure ?
Hints & Solutions
(iii) Figure Formation
The process of formation of a defined geometrical figure with the use of pieces of different design is known as formation of figure.
Formation of figures deals with the problems related to the formation of geometrical figures like triangle, square, circle, etc., by joining some pieces out of a group of pieces of different designs. Some questions are asked in which the question figure contains some figures which can be joined together to obtain one of the alternative answer figures and one has to find out the correct alternative. Besides this, there are questions in which one question figure is given and we have to find out the correct answer figure in which all the pieces which are required to form the question figure are present.
In such questions, a question figure is given followed by four answer choices. The candidate is required to select the correct figure out of the given answer choice figures.
For better understanding, example is given below
Example Find the figure given in the answer choices, that can form the questions figure.
Directions (Q.Nos.1 and 2) In each of the following questions, find out which of the answer figures (a), (b), (c) and (d) can be formed from the pieces given in figure (X).
Directions (Q. NOS.1 -8) In each of the following questions, find out which of the answer figures (a), (b), (c) and (d) can be formed