SSC Sample Questions of English Language, Arithmetic, Mensuration, Geometry, Stats
SSC Combined Higher Secondary Level (10+2) Examination, 2013
Staff Selection Commission is going to conduct the Combined Higher Secondary Level(10 + 2) Examination on 10th & 11th November 2013. Candidates who want to prepare fr the examination can prepare for the same from this page. The examination will be conducted for the post of Data Entry Operator and Lower Division Clerk for which 12th Standard Pass or equivalent is the minimum qualification. The details of the written examination is given below.
Scheme of Examination
Useful Books for Exam Preparation We recommend you to purchase these books for your preparation besides these sample questions as these sample questions won't be enough to qualify these exams.
General Intelligence:
English Language :
1. Spot the Error
2. Fill in the Blanks
3. Synonyms/Homonyms
4. Antonyms
5. Spellings/Detecting Mis-spelt words
6. Idioms & Phrases
7. One word substitution
8. Improvement of Sentences
9. Active/Passive Voice of Verbs
10. Conversion into Direct/Indirect narration
ARITHMETIC
C.1.1 Number Systems:
Computation of Whole Number
Sample Ques: The square of even number is always ____?
a) Prime b) Even c) Odd d) negative
Decimal and Fractions
Relationship between numbers
Sample Ques: Find the sum of all numbers between 1 to 100 ?
(a) 5050 (b) 2500 (c) 100 (d) 50
C.1.2 Fundamental arithmetical operations:
Percentages
Sample Ques: When 75% of a number is added to 75, the result is number again. The number is
a) 150 b) 300 c) 100 d) 450
Ans is 300
Ratio and Proportion
Sample Ques: If A:B is 6 : 7, B : C = 8: 9, then A : B : C = ?
a) 48 : 56 : 72 b) 56 : 48 : 63 c) 48 : 56 : 63 d) 42 : 48 : 56
Square roots
Sample Ques:
Averages
Sample Ques: The average of 5 quantities is 10 and the average of 3 of them is 9. What is the average of the remaining 2 ?
(a) 11.5 (b) 9 (c) 0.10 (d) 12
Hint: avg. of 5 quantity is 10 so sum is 50 & sum of 3 quantities is 27(3*9), so sum of 2 quantities is 23, so their avg is 23/2=11.5
Interest (Simple and Compound)
Sample Ques: What will Rs 1500/- amount to in 3 years if it is 20% p.a compound interest, interest being computed annually ?
(a) 2520 (b) 2592 (c) 3000 (d) 2525
Hint: Use formula of compound interest A = P{1 + R/100}^n
Where A is the Amount( including Principle + Interest), P is the Principle, R is the rate of interest, N is the number of year
Profit and Loss
Sample Ques: The cost of 16 articles is equal to sell price of 12 articles. The gain percent is ?
(a) 20% (b) 30% (c) 0.4 % (d) 40%
Discount
Ques: Successive discounts of 10%, 20% and 20% are equal to a single discount of __
(a). 57.6% (b). 42.4% (c) 50% (d) 43.4 (e) none
Ans is 42.4%
Partnership Business
Sample Ques: Three partners A, B & C invested Rs 1600, Rs 1800, Rs 2300 respectively in the business. How should they divide a profit of Rs 399
Mixture and Allegation
Sample Ques: How many liters of water should be added to a 30 liter mixture containing milk & water in the ration of 7:3 such that the resultant mixture has 40% water in it ?
(a) 5 (b) 6 (c) 4 (d) 7
Hint: [ (9 + x) / (30 + x) ] = 4/5 => x=5
Time and distance
Sample Ques: Two men starting from the same place walk at the rate of 4 km/hr and 4.5 km/hr respectively. How many kilometers will they be apart after 31/2 hours, of they walk
a) In the same direction
b) to the opposite direction
(a) 1.75, 29.5(b) 2, 30 (c) 1, 29 (d) 5, 10
Time and work
Sample Ques: If A & B together can finish a piece of work in 12 days and B alone can finish it in 30 days, in how many days can A alone finish the work ?
(a) 20 days (b) 30 days (c) 10 days (d) 60 days
Solution: A+B in 12 days can do W work
A + B in 1 day can do W/12 work
B 1 day work is W/30
So A+B = W/12
B = W /30
A = W / 12 - W / 30 = 1/ 20 W
So A can do the work in 20 days
ALGEBRA:
C.2.1 Basic algebraic identities of School Algebra (and their simple applications)
e.g. Formulas for
(a+b)^2,(a-b)^2, (a+b)^3, (a-b)^3, a^3-b^3, a^3+b^3, a^2-b^2; if a+b+c=0,
then a^3+b^3+c^3=3abc etc. and Elementary surds (simple problems)
C.2.2 Graphs of Linear Equations.
GEOMETRY:
Familiarity with elementary geometric figures and facts:
C.3.1 Triangle and its various kinds of centres viz. Centroid, In-center, Orthocenter,
Circum center
Median & Centroid: The line joining the mid point of the side of the traingle to the opposite vertex is called is called the median & the point on which all the three meidan media meat is the Centroid.
Perpendicular bisector & Circumcenter: The line that is perpendicular to the side & bisect is the perpendicular bisector of the side. Circumcenter is the center tat circumscribe hat triangle.
Angel Bisector & Incenter: The lines bisecting the interior angles of a triangle are the angular bisector of that side. The angular bisctor meets at a point called Incenter:
C.3.2 Congruence and similarity of triangles
Properties of triangle
SAS, ASA, SSS, AAA etc
Two traingles can be said to be similar of they both have similar AAA, SSS, SAS, RHS
Two traingles can be said to be congruent if they are congruent by following property
SAS Property: Two sides & in between angle of one triangle is equal to two sides & in between angle of another triangle.
ASA Property: Two angles & in between side of one triangle is equal to tow sides & in between angle of another triangle than both the triangle are equal
SSS Property: All the three side of a training are equal of all the three sides of a triangle than both the triangle are equal.
SSA Property: Two sides & the following angle of one triangle is equal to two sides & the following angle of another triangle than both the triangle are congruent.
RHS Property: In two triangles are right angled triangle with one angle = 90 degree & two sides being equal to the two sides of the another triangle than both the triangles are equal
C.3.3 Circle and its chords, tangents, angles subtended by chords of a circle, common tangents to two or more circles.
MENSURATION:
C.4.1 Triangle, Quadrilaterals
C.4.2 Regular Polygons (sum of the internal angles of a polygon)
C.4.3 Circle
Area: (pi) r * r
Circumference: 2 (pi) r
Diameter(D) = 2r
C.4.4 Right Prism
C.4.5 Right Circular Cone
In right circular cone
Curved Surface Area of a cylinder(CSA) is (pi) r l
where l is the slant height
Total Surface area(TSA) is (pi) r l + (pi) r^2
Volume of right circular cylinder: 1/3(pi)r^2 h
C.4.6 Right Circular Cylinder
Curved Surface Area of a cylinder(CSA) is 2(pi) rh
Total Surface area(TSA) is 2(pi rh + 2(pi) r^2
Volume of right circular cylinder: (pi)r^2 h
C.4.7 Sphere, Hemispheres
C.4.8 Rectangular Parallelepiped
C.4.9 Regular Right Pyramid with triangular or square Base
TRIGONOMETRY:
C.5.1 Trigonometry (for acute angles 0 with 0≤0≤90)12 Trigonometric ratios
Degree and Radian Measures
Standard Identities like sin20 + Cos20=1 etc.
C.5.2 Complementary Angles, Heights and Distances (simple problems only)
STATISTICAL CHARTS :
Use of Tables and Graphs:
C.6.1 Histogram
C.6.2 Frequency polygon
C.6.3 Bar-diagram
C.6.4 Pie-chart
Important dates
Date of Notification: 20th July 2013
Last date of receiving application: 16.08.2013
Date of Examination: 10.11.2013 & 17.11.2013
SSC Combined Higher Secondary Level (10+2) Examination, 2013
Staff Selection Commission is going to conduct the Combined Higher Secondary Level(10 + 2) Examination on 10th & 11th November 2013. Candidates who want to prepare fr the examination can prepare for the same from this page. The examination will be conducted for the post of Data Entry Operator and Lower Division Clerk for which 12th Standard Pass or equivalent is the minimum qualification. The details of the written examination is given below.
Scheme of Examination
| Date of Exam | Part |
Subject
| Maximum Marks | Exam Duration | For visually Handicapped |
| 10.11.2013 & 17.11.2013 | I | General Intelligence (50 questions) | 50 | 2 Hours 10.00 A.M. to 12.00 Noon | 2 Hours 40 mins 10.00 A.M. to 12.40 PM |
| II | English Language (Basic Knowledge) ( 50 questions ) | 50 | |||
| III | Quantitative Aptitude (Basic Arithmetic Skill) (50 questions) | 50 | |||
| IV | General Awareness (50 questions) | 50 |
Useful Books for Exam Preparation We recommend you to purchase these books for your preparation besides these sample questions as these sample questions won't be enough to qualify these exams.
General Intelligence:
| 1 | Semantic Analogy | 14 | Symbolic operations |
| 2 | Symbolic/Number Analogy | 15 | Trends |
| 3 | Figural Analogy | 16 | Space Orientation |
| 4 | Semantic Classification | 17 | Venn Diagrams |
| 5 | Symbolic/Number Classification | 18 | Drawing inferences |
| 6 | Figural Classification | 19 | Punched hole/pattern-folding & unfolding |
| 7 | Semantic Series | 20 | Figural Pattern – folding and completion |
| 8 | Number Series | 21 | Embedded figures |
| 9 | Figural Series | 22 | Critical Thinking |
| 10 | Problem Solving | 23 | Emotional Intelligence |
| 11 | Word Building | 24 | Social Intelligence |
| 12 | Coding and de-coding | 25 | Other sub-topics, if any |
| 13 | Numerical operations |
English Language :
1. Spot the Error
2. Fill in the Blanks
3. Synonyms/Homonyms
4. Antonyms
5. Spellings/Detecting Mis-spelt words
6. Idioms & Phrases
7. One word substitution
8. Improvement of Sentences
9. Active/Passive Voice of Verbs
10. Conversion into Direct/Indirect narration
ARITHMETIC
C.1.1 Number Systems:
Computation of Whole Number
Sample Ques: The square of even number is always ____?
a) Prime b) Even c) Odd d) negative
Decimal and Fractions
Relationship between numbers
Sample Ques: Find the sum of all numbers between 1 to 100 ?
(a) 5050 (b) 2500 (c) 100 (d) 50
Percentages
Sample Ques: When 75% of a number is added to 75, the result is number again. The number is
a) 150 b) 300 c) 100 d) 450
Ans is 300
Ratio and Proportion
Sample Ques: If A:B is 6 : 7, B : C = 8: 9, then A : B : C = ?
a) 48 : 56 : 72 b) 56 : 48 : 63 c) 48 : 56 : 63 d) 42 : 48 : 56
Square roots
Sample Ques:
Averages
Sample Ques: The average of 5 quantities is 10 and the average of 3 of them is 9. What is the average of the remaining 2 ?
(a) 11.5 (b) 9 (c) 0.10 (d) 12
Hint: avg. of 5 quantity is 10 so sum is 50 & sum of 3 quantities is 27(3*9), so sum of 2 quantities is 23, so their avg is 23/2=11.5
Interest (Simple and Compound)
Sample Ques: What will Rs 1500/- amount to in 3 years if it is 20% p.a compound interest, interest being computed annually ?
(a) 2520 (b) 2592 (c) 3000 (d) 2525
Hint: Use formula of compound interest A = P{1 + R/100}^n
Where A is the Amount( including Principle + Interest), P is the Principle, R is the rate of interest, N is the number of year
Profit and Loss
Sample Ques: The cost of 16 articles is equal to sell price of 12 articles. The gain percent is ?
(a) 20% (b) 30% (c) 0.4 % (d) 40%
Discount
Ques: Successive discounts of 10%, 20% and 20% are equal to a single discount of __
(a). 57.6% (b). 42.4% (c) 50% (d) 43.4 (e) none
Ans is 42.4%
Partnership Business
Sample Ques: Three partners A, B & C invested Rs 1600, Rs 1800, Rs 2300 respectively in the business. How should they divide a profit of Rs 399
Mixture and Allegation
Sample Ques: How many liters of water should be added to a 30 liter mixture containing milk & water in the ration of 7:3 such that the resultant mixture has 40% water in it ?
(a) 5 (b) 6 (c) 4 (d) 7
Hint: [ (9 + x) / (30 + x) ] = 4/5 => x=5
Time and distance
Sample Ques: Two men starting from the same place walk at the rate of 4 km/hr and 4.5 km/hr respectively. How many kilometers will they be apart after 31/2 hours, of they walk
a) In the same direction
b) to the opposite direction
(a) 1.75, 29.5(b) 2, 30 (c) 1, 29 (d) 5, 10
Time and work
Sample Ques: If A & B together can finish a piece of work in 12 days and B alone can finish it in 30 days, in how many days can A alone finish the work ?
(a) 20 days (b) 30 days (c) 10 days (d) 60 days
Solution: A+B in 12 days can do W work
A + B in 1 day can do W/12 work
B 1 day work is W/30
So A+B = W/12
B = W /30
A = W / 12 - W / 30 = 1/ 20 W
So A can do the work in 20 days
ALGEBRA:
C.2.1 Basic algebraic identities of School Algebra (and their simple applications)
e.g. Formulas for
(a+b)^2,(a-b)^2, (a+b)^3, (a-b)^3, a^3-b^3, a^3+b^3, a^2-b^2; if a+b+c=0,
then a^3+b^3+c^3=3abc etc. and Elementary surds (simple problems)
C.2.2 Graphs of Linear Equations.
GEOMETRY:
Familiarity with elementary geometric figures and facts:
C.3.1 Triangle and its various kinds of centres viz. Centroid, In-center, Orthocenter,
Circum center
Median & Centroid: The line joining the mid point of the side of the traingle to the opposite vertex is called is called the median & the point on which all the three meidan media meat is the Centroid.
Perpendicular bisector & Circumcenter: The line that is perpendicular to the side & bisect is the perpendicular bisector of the side. Circumcenter is the center tat circumscribe hat triangle.
Angel Bisector & Incenter: The lines bisecting the interior angles of a triangle are the angular bisector of that side. The angular bisctor meets at a point called Incenter:
C.3.2 Congruence and similarity of triangles
Properties of triangle
SAS, ASA, SSS, AAA etc
Two traingles can be said to be similar of they both have similar AAA, SSS, SAS, RHS
Two traingles can be said to be congruent if they are congruent by following property
SAS Property: Two sides & in between angle of one triangle is equal to two sides & in between angle of another triangle.
ASA Property: Two angles & in between side of one triangle is equal to tow sides & in between angle of another triangle than both the triangle are equal
SSS Property: All the three side of a training are equal of all the three sides of a triangle than both the triangle are equal.
SSA Property: Two sides & the following angle of one triangle is equal to two sides & the following angle of another triangle than both the triangle are congruent.
RHS Property: In two triangles are right angled triangle with one angle = 90 degree & two sides being equal to the two sides of the another triangle than both the triangles are equal
C.3.3 Circle and its chords, tangents, angles subtended by chords of a circle, common tangents to two or more circles.
MENSURATION:
C.4.1 Triangle, Quadrilaterals
C.4.2 Regular Polygons (sum of the internal angles of a polygon)
C.4.3 Circle
Area: (pi) r * r
Circumference: 2 (pi) r
Diameter(D) = 2r
C.4.4 Right Prism
C.4.5 Right Circular Cone
In right circular cone
Curved Surface Area of a cylinder(CSA) is (pi) r l
where l is the slant height
Total Surface area(TSA) is (pi) r l + (pi) r^2
Volume of right circular cylinder: 1/3(pi)r^2 h
C.4.6 Right Circular Cylinder
Curved Surface Area of a cylinder(CSA) is 2(pi) rh
Total Surface area(TSA) is 2(pi rh + 2(pi) r^2
Volume of right circular cylinder: (pi)r^2 h
C.4.8 Rectangular Parallelepiped
C.4.9 Regular Right Pyramid with triangular or square Base
TRIGONOMETRY:
C.5.1 Trigonometry (for acute angles 0 with 0≤0≤90)12 Trigonometric ratios
Degree and Radian Measures
Standard Identities like sin20 + Cos20=1 etc.
C.5.2 Complementary Angles, Heights and Distances (simple problems only)
STATISTICAL CHARTS :
Use of Tables and Graphs:
C.6.1 Histogram
C.6.2 Frequency polygon
C.6.3 Bar-diagram
C.6.4 Pie-chart
Important dates
Date of Notification: 20th July 2013
Last date of receiving application: 16.08.2013
Date of Examination: 10.11.2013 & 17.11.2013
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