Numerical Aptitude / maths Solved paper for FCI Exam

Numerical Aptitude / maths Solved paper for FCI Exam
Sample Questions on Quantitative Aptitude for FCI

1. 99 ÷9 ÷ 0.5 =?

(1) 5.5

(2) 11

(3) 4.5

(4) 22

(5) None of these

Ans. (4)

2. 8^2.8 x 64^3.6 ÷ 512^1.4 =8^?

(1) 5.8

(2) 14.2

(3) 8.6

(4) 9.2

(5) None of these

Ans. (1)

3. 24% of 550 - ?%, of 124 = 76.2

(1) 45

(2) 30

(3) 50

(4) 35

(5) None of these

Ans. (1)

4. 24.5 x 45.4x 2.5 =?

(1) 2880.25 

(2) 2780.75

(3) 2770.75

(4) 2870.25

(5) None of these

Ans. (2)

5. (1305/4)÷9=?

(1) 64.5

(2) 24.75

(3) 36.25

(4) 72.5

(5) None of these

Ans. (3)

6. 2.5  x? =824.2

(1) 333.864

(2) 3-29.68.

(3) 337.-4

(4) 324.48

(5) None of these

Ans. (2)

7. 416 x 18 - 2288 =?

(1) 5202

(2) 5000

(3) 5205

(4) 5002

(5) None of these

Ans. (5)

8. 54% of 675 =?

(1) 307.5

(2) 346.5

(3) 370.5

(4) 364.5

(5) None of these

Ans. (4)

9. 888.88 + 684.48 + 726.66 =?

(1) 2230.02

(2) 2030.02

(3) 2003.02

(4) 2302.02

(5) None of these

Ans. (5)

10. 3960 ÷ (48 x 2.5) =?

(1) 206.25

(2) 42

(3) 33

(4) 260.25

(5) None of these

Ans. (3)

11. A car covers a distance of 720 kms in 12 hours. What is the average speed of the car?

(1) 60 kmph

(2) 40 kmph

(3) 55 kmph

(4) 75 kmph

(5) None of these

Ans. (1)

12. The owner of a furniture shop charges his customer 18% more than the cost price. If a customer paid Rs.10, 207 for a dining table, then what was the original price of the dining table?

(1) Rs.9, 240

(2) Rs.8, 650

(3) Rs.9, 840

(4) Rs.7, 670

(5) None of these

Ans. (2)

13. The average age of a man and his son is 30 years. The ratio of their ages is 4: 1 respectively. What is the son’s age?

(1) 12 years

(2) 14 years

(3) 16 years

(4) 24 years

(5) None of these

Ans. (1)

14. What is the least number to be added to 2400 to make it a perfect square?

(1) 100

(2) 191

(3) 201

(4) 96

(5) None of these

Ans. (5)

15. What would be the compound interest obtained on an amount of Rs. 2,840 at tie rate of 15 p.c.p.a. after 2 years?

(1) Rs. 905.5

(2) Rs. 951.5

(3) Rs. 928.9

(4) Rs. 915.9

(5) None of these

Ans. (4)

16. The product of two consecutive odd numbers is 2303. What is the greater number?

(1) 45

(2) 47

(3) 51

(4) 49

(5) None of these

Ans. (4)

17. The difference between 31% of a number and 11% of the number is 360. What is 23% of that number?

(1) 426

(2) 414

(3) 408

(4) 432

(5) None of these

Ans. (2)

18. A canteen requires 22 dozen apples for seven days. How many dozen apples will it require for 336 days?

(1) 1104

(2) 1128

(3) 1056

(4) 1047

(5) None of these

Ans. (3)

19. In an examination It is required to get 750 of the aggr8gate marks to pass. A student gets 700 marks and IS declared failed by 4% marks. What are the maximum aggregate marks a student can get?

(1) 1050

(2) 1140

(3) 1250

(4) Cannot be determined

(5) None of these

Ans. (3)

20. The cost of 4 watches arid 2 lockets is Rs. 1 0,800. What is the cost of 6 watches and 3 lockets?

(1) Rs.18, 400

(2)Rs.15, 850 

(3) Rs.12, 600

(4) Cannot be determined

(5) None of these

Ans. (5)

Solved objective type maths questions on Mensuration Area Volume

Solved objective type maths questions on Mensuration Area Volume
Mensuration, area, volume questions for UPSC Bed and other exams

1. A 10 cm deep well with diameter 6 m is dug and the earth spread even to form a
platform 22cm 10cm x cm. The value of x is
(a) 2.2
(b) 1.12
(c) 1.28
(d) 1.3
Ans. (c)


2. Two cubes of side 1 cm each, four cubes of side 2 cm each and two cubes of side 3
cm and 4 cm are melted to form one cube of side
(a) 6 cm
(b) 7 cm
(c) 8 cm
(d) 5 cm
Ans. (a)


3. The surface area of a cube whose volume is 343 cm3 is K cm2, the value of K is
(a) 180
(b) 364
(c) 294
(d) 394
Ans. (c)

4. The bricks of dimensions 25 cm 12.5 cm 7.5 cm required to build a wall 5m
3m 20 m are
(a) 1280
(b) 1285
(c) 1290
(d) 1295
Ans. (a)


5. A closed tea box has 47 cm 47 cm 60 cm internal dimensions, then the total area of tin foil needed for lining it is
(a) 1.57 m
(b) 1.81 m
(c) 1.46 m
(d) 2.10 m
Ans. (a)


6. A wood 1 cm thick required to make a box of dimensions 24 cm 22 cm 17 cm, is
(a) 2276 cm3
(b) 2500 cm3
(c) 2600 cm3
(d) 2376 cm3
Ans. (d)


7. If two cubes, each of side 12 cm are joined end to end, then the surface area of the
resulting cuboid is
(a) 1728 cm2
(b) 1440 cm2
(c) 1445 cm2
(d) 1450 cm2
Ans. (b)

8. The radius of a circle, whose area is equal to the sum of the areas of two circles of
radii 3 cm and 4 cm, is
(a) 5 cm
(b) 5.5 cm
(c) 5.8 cm
(d) 6 cm
Ans. (a)


9. If every side of a cube of volume V is doubled then its volume becomes K V. The
value of K is equa1 to
(a) 8
(b) 4
(c) 2
(d) 16
Ans. (a)
10. The number of vertices in a cube is
(a) 6
(b) 10
(c) 8
(d) 12
Ans. (c)

11. If a rectangle of sides 5 cm and 15 cm is to be divided into three squares of equal
area, then the sides of the squares will be
(a) 4cm
(b) 6cm
(c) 7 cm
(d) none
Ans. (d)

12. The perimeter of a right angled triangle is 60 cm and its hypotenuse is 26 cm, then the
area of the triangle is
(a) 120 cm2
(b) 121 cm2
(c) 119 cm2
(d) 125 cm2
Ans. (a)

13. A solid cylinder of glass whose diameter is 1.5 m and height 1 m is melted and
recasted into a sphere, then the radius of the sphere is
(a) 1 m
(b) 0.75 m
(c) 1.25 m
(d) 1.5 m
Ans. (b)

14. The number of bullets of radius 2 cm that can be made from a cube of lead whose
side is 44 cm is
(a) 2540
(b) 2541
(c) 2560
(d) 2575
Ans. (b)

15. If the sphere of radius 6 cm is melted and drawn into a wire of radius 0.2 cm, then
the length of the wire is
(a) 75 cm
(b) 72 cm
(c) 72 cm
(d) 75 cm
Ans. (c)

16. If the volume of a sphere is 4851 cm3, then its surface area is
(a) 1286 cm2
(b) 1386 cm2
(c) 1486 cm2
(d) 1390 cm2
Ans. (a)

17. If the radius of the base of a right circular cone is halved, keeping the height same,
then the ratio of the volume of the reduced cone to that of the original cone is
(a) 2 : 1
(b) 4 : 1
(c) 1 : 4
(d) 1 : 2
Ans. (c)

18. The cost of canvas required for a conical tent, of height 8 m and diameter of base 12
m, at the rate of Rs 3.50 per m2 is
(a) Rs 620
(b) Rs 600
(c) Rs 640
(d) Rs 660
Ans. (d)

19. The curved surface area of a right circular cone of height 84 cm and diameter 70 cm is
(a) 10010 cm2
(b) 100000 cm2
(c) 10020 cm2
(d) 11000 cm2
Ans. (a)


20. A conical tent of radius of 12 m and height 16 m is to be made, then the cost of
canvas required at the rate Rs 10 per m2 is
(a) Rs 7445
(b) Rs 7543
(c) Rs 7550
(d) Rs 7500
Ans. (b)

Model Paper Objective maths and Algebra

Model Paper Objective maths and Algebra
Mathematics Objective Type Questions With Answers,these are very useful for various exams which contain MCQ type Questions on Maths
1. If y – 1/3y =1/3 then the value of y(y – 1/3) is
(a) 1/3
(b) 1/4
(c) 1/5
(d) 1/6
Ans. (a)

2. If x2 - 11x + 1 = 0, then the value of x + 1/x is
(a) 10
(b) 11
(c) 12
(d) 13
Ans. (b)

3. If x — 2/x = 1 then the value of (x2+x+2)/x2 (1—x) is
(a) 2
(b) —1
(c) 0
(d) 1
Ans. (d)


4. If 2x + 1/3x = 5, then the va1ue of 5x/(6x2+20x+1) is
(a) 3/7
(b) 2/7
(c) 1/7
(d) 4/7
Ans. (c)

5. The value of expression a + b — a x a / a [a of 1/a] on simplifying is
(a) b
(b) a
(c) a2
(d) b2
Ans. (b)

6.The value of l—[1—1—(1—1 + x)]on simplifying is
(a) 2—x
(b) 1+x
(c) 1—x
(d) 2+x
Ans. (b)

7. If 2m — 1/2m = 2 then the value of m2 + 1/16m2 is
(a) 3/2
(b) 1/2
(c) 5/2
(d) 7/2
Ans. (a)

8. The number of square tiles required of size 20 cm to cover a square courtyard of area
64 m2 are
(a) 1598
(b) 1600
(c) 1605
(d) 1606
Ans. (b)

9. A businessman, by means of a false balance defrauds to an extent of 10% in buying goods and 10% in selling goods. Then, by how much percent does he gain?
(a) 21%
(b) 24%
(c) 19%
(d) 18%
Ans. (a)

10. Jayant sold two books at Rs 14 each. On one he gains 20% and on the other loses 20%. Then he made
(a) No profit no loss
(b) Lose is of 4%
(c) Gain of 1%
(d) None of these
Ans. (b)

11. In selling an article for Rs 76, a shopkeeper gains 52%. The gain by selling that for Rs 74 is
(a) 45%
(b) 48%
(c) 49%
(d) 50%
Ans. (b)

12. ‘A’ buys a pen for Rs 4 and sells it for Rs 5. He calculates his profit first as a percentage of the buying price then as a percentage of the selling price. The difference between these two is
(a) 20%
(b) 10%
(c) 5%
(d) 15%
Ans. (c)

13. The length of second diagonal in the above question is
(a) 19 cm
(b) 18 cm
(c) 17cm
(d) 16cm
Ans. (d)


14. The area of the trapezium is 312 cm2, then the distance between the parallel sides whose lengths are 21 cm and 27 cm respectively is
(a) 13cm
(b) 14cm
(c) 15cm
(d) 16cm
Ans. (c)

15. The measure of the angle between the internal and external bisectors of an angle is
(a) 60°
(b) 70°
(c) 80°
(d) 90°
Ans. (d)

16. Each of the base angle of an isosceles triangle is twice the vertical angle then the vertical angle is
(a) 35°
(b) 36°
(c) 37°
(d) 38°
Ans. (b)

17. The angle between the external bisectors of two angles of a triangle is 50° then the third angle is
(a) 75°
(b) 80°
(c) 85°
(d) 90°
Ans. (b)

18. If x = 2t and y = t/3 - 1then the value of t for which x = 2y is
(a) t = -3/2
(b) t = 3/2
(c) t = l/2
(d) t = 5/2
Ans. (a)

19. A can do a work in x days and B can do the same work in y days then the number of days taken by A and B together to complete the work are
(a) y/(x + y) Days
(a) x/(x + y) Days
(a) xy/(x + y) Days
(a) xy/(x - y) Days
Ans. (c)

20. If 125 x centimeter per second = (x + 7) km hour then the value of x is
(a) 4
(b) 3
(c) 2
(d) 1
Ans. (c)

21. The distance between the two parallel chords of length 8 cm and 6 cm in a circle of diameter 10 cm if the chords lie on the same side of the centre is
(a) 1cm
(b) 2cm
(c) 3cm
(d) 4cm
Ans. (a)

22. If x = b-c, y=c-a, z=a-b then the value of x2-y2 +z2 + 2xz is
(a) 2
(b) -1
(c) 0
(d) 1
Ans. (c)

23. If x2+y2-2x+6y+ 10=0, and x-3y= 10, then the value of x2 +y2 is
(a) 7
(b) 8
(c) 9
(d) 10
Ans. (d)

24. The HCF and LCM of 77, 99 and x are 11 and 3465 respectively, the greatest value of x is
(a) 55
(b) 56
(c) 57
(d) 58
Ans. (a)



25. If c2+c = -l then the value of c3- 1 is
(a) 1
(b) 0
(c) -1
(d) 2
Ans. (b)

Maths Questions Exam Prepeartion Practice test For Bank PO

Maths Questions Exam Prepeartion Practice test For Bank PO
Bank PO exams contain a large number of Tough objective Questions
This Sample Paper will be helpful for Candidates Appearing For Bank PO Exams
1. A person purchases 20 liters of juice at Rs 2.20 per liter and diluted it with water to make the contents 22 liters. In order to earn 10% profit he should sell the juice at
(a) Rs 2.20
(b) Rs 2.00
(c) Rs 2.35
(d) Rs 2.40
Ans. (a)


2. A, B, C earns Rs 1,980 in total. They earn it in the ratio of 2: 1 and 3 : 2 respectively, then B earned
(a) Rs 500
(b) Rs 520
(c) Rs 540
(d) Rs 560
Ans. (c)

3. A person purchased 10 dozen pens the rate of Rs 4 per dozen. On checking, he found that 10 pens were not working. In order to earn 25% he should sell the remaining pens, each at
(a) 40 paise
(b) 44 paise
(c) 50 paise
(d) None of these
Ans. (d)



4. A candidate who gets 30% of the marks in an examination fails by 50 marks. Another candidate who gets 320 marks fails by 30 marks. Then the maximum marks is
(a) 800
(b) 900
(c) 1000
(d) 1,100
Ans. (c)

5. In an election 15% of voters did not vote. A candidate who got 62.5% of votes cast was declared elected by 3,400 votes. Then the total number of votes are
(a) 15,000
(b) 16,000
(c) 17,000
(d) 19,000
Ans. (b)

6. The total number of candidates at an examination, if 31 % fail and the number of falling students is 248, is
(a) 800
(b) 900
(c) 1,000
(d) 1,100
Ans. (a)

7. The difference between the simple and compound interest on a certain sum for 3 years at 10% per annum is Rs 63.86. Then the sum is
(a) Rs 2,600
(b) Rs 2,006
(c) Rs 2,060
(d) Rs 2,080
Ans. (c)


8. The simple interest on a sum of money deposited for 6 years at 4.5% per annum is Rs 270, and then the sum is
(a) Rs 1,000
(b) Rs 1.050
(c) Rs 1,075
(d) Rs 2,000
Ans. (a)


9. If 391 is divided into three parts proportional ½: 2/3: 3, then the first part is
(a) 150
(b) 160
(c) 180
(d) None
Ans. (d)

10. 16 men or 24 women can do a piece of work in 20 days. The number of days needed to complete the job, if 20 men and 30 women are employed to do the same piece of work is
(a) 6
(b) 7
(c) 8
(d) 9
Ans. (c)

11. 10% of 15% of 20% of Rs 500 is
(a) 0.50
(b) 3.50
(c) 1.50
(d) 2.50
Ans. (c)

12. If the price of tea rises by 20%, then by how much percent does a house wife reduce her consumption so that her expenditure remains same?
(a) 20%
(b)12.5 %
(c) 50/3 %
(d) 50/6 %
Ans. (c)


13. A trader purchases 70 kg of tea at Rs 15 per kg and 30kg of tea at Rs 18.50 per kg. If the packing charges are 2 percent, then at what price he must sell the mixture of two to gain 15%?
(a) Rs 18.80 per kg
(b) Rs 18 per kg
(c) Rs 18.50 per kg
(d) Rs 117.80 per kg
Ans. (a)


14. By giving a discount of 10% on the marked price of Rs 1,100 of a sewing machine dealer gains 10%, then the cost price is
(a) Rs 900
(b) Rs 950
(c) Rs 1,000
(d) Rs 1,050
Ans. (a)

15. A shopkeeper sells a badminton marked at Rs 30 at 15% discount and gives a shuttle cock costing Rs 1.50 free with each badminton. He then makes a profit of 20%. His cost price per badminton is
(a) Rs 35
(b) Rs 30
(c) Rs 25
(d) Rs 20
Ans. (d)

16. If a radio is sold at Rs 972, then profit is 8%. If it is sold at Rs 872, then there is a loss of
(a) Rs28
(b) Rs25
(c) Rs 20
(d) Rs 15
Ans. (a)

17. A shopkeeper professes to sell his goods at cost price but uses a weight of 800 grams instead of a kilogram weight. Thus he makes a gain of
(a) 10%
(b) 15%
(c) 20%
(d) 25%
Ans. (d)

18. Rajan earns 33% less than Ram. Then by how much percent is Ram’s income above Rajan’s?
(a) 40%
(b) 50%
(c) 60%
(d) 74%
Ans. (b)

19. On a purchase of goods worth Rs 1,00,0(10, Han has a choice between three successive discounts of 40%, 5%. and 5% and three successive discounts of 20%, 20% and 10%. Then by choosing the former offer he would save
(a) Rs 2,500
(b) Rs 3,00t
(c) Rs 3,400
(d) Rs 3,450
Ans. (d)

20. The ratio of ink and water in 66 liters of adulterated ink is 5 : 1. The quantity of water to be added in the mixture to make the ratio of ink and water 5 : 3 is
(a) 20 liters
(b) 22 liters
(c) 24 liters
(d) 26 liters
Ans. (b)

21. Rs 300 amount to Rs 360 in 4 years at simple interest. If the rate of interest is increased by 1%, it would amount to
(a) Rs 364
(b) Rs 368
(c) Rs 372
(d) Rs 384
Ans. (c)

22. The simple interest on a sum of money is of the principal and the rate percent is equal to number of years. The rate percent is
(a) 3%
(b) 4%
(c) 5%
(d) 6%
Ans. (d)

23. The difference between the simple interest and compound interest on Rs 400 at 5% per annum for 2 years is
(a) Rs 1
(b) Rs 10
(c) Rs 12
(d) Rs 15
Ans. (a)

24. A sum of Rs 16,400 is bowed to be paid back in 2 years by two equal annual payments, allowing 5% compound interest. The annual payment is
(a) Rs 8,000
(b) Rs 8,050
(c) Rs 8,820
(d) Rs 9,000
Ans. (c)

25. An electric meter gives a reading of 10% less than the actual consumption. If the reading of one month is 180 units, then the actual consumption is
(a) 162 units
(b) 200 units
(c) 190 units
(d) None of these
Ans. (b)

Sample Objective test maths Area perimeter and menstruation

Sample Objective test maths Area perimeter and menstruation
Area and Perimeter objective solved questions
Test your ability to compute the area or perimeter

1. The length of a given rectangle is increased by 20% and the breadth is decreased by
20%, then the area
(a) remains the same
(b) increases by 5%.
(c) decreases by 5%
(d) decreases by 4%
Ans. (d)

2. A rectangle is 8 cm longer than its width. A square of side x cm has been cut out of it.
If x cm is half the width of the rectangle, then the remaining area is
(a) (2x2 + 8x) cm2
(b) (2x 2 + 16x) cm2
(c) (3x 2 + 8x) cm2
(d) (3x 2 + 16x) cm2
Ans. (d)


3. A rectangular garden has an area 2000 m2 and its length and breadth are in the ratio
5: 4. A road of uniform width runs inside the garden around the perimeter and has an
area 344 m2, then the width of the road is
(a) 4 m
(b) 3.5 m
(c) 3 m
(d) 2 m
Ans. (d)

4. A room is rectangular in shape and has a flat roof. It is 10 m wide, 13 m long and 5
m high. It is to be painted inside and outside and on the floor but not on the ceiling,
then the total area to be painted is
(a) 360 m2
(b) 460 m2
(c) 490 m2
(d) 590 m2
Ans. (d)


5. One side of a parallelogram is 8 cm. If the corresponding altitude is 6 cm, then its
area is given by
(a) 24 cm2
(b) 36 cm2
(c) 40 cm2
(d) 48 cm2
Ans. (d)

6. The base of a triangle is 15 dm and its height is 12 dm. The height of another triangle
of double the area and the base of which is 20 dm, is given by
(a) 9 dm
(b) 18 dm
(c) 8 dm
(d) 12.5 dm
Ans. (b)

7. If the diagonals of a rhombus are 24 dm and 10 dm, then the perimeter of the
rhombus will be
(a) 68 dm
(b) 60 dm
(c) 52 dm
(d) 50 dm
Ans. (c)


8. The perimeter of a rhombus is 100 cm and one of the diagonals is 40 cm. Then the
area of the rhombus is
(a) 1000 cm2
(b) 500 cm2
(c) 1200 cm2
(d) 600 cm2
Ans. (d)

9. If all possible diagonals from a vertex of an ‘n’ sided polygon be drawn, then the
number of triangles thus formed is
(a) n + 1
(b) n
(c) n – 1
(d) n – 2
Ans. (d)

10. The perimeter of one face of a cube is 20 m, then its volume is
(a) 800 m3
(b) 1000 m3
(c) 125 m3
(d) 400 m3
Ans. (c)



11. The outer length, breadth and height of a box open at the top are 10 dm, 8 dm and 5
dm respectively. If the thickness of the wood is 1 dm, then the total surface area of
the box is
(a) 420 dm2
(b) 452 dm2
(c) 451 dm 2
(d) 483 dm2
Ans. (a)

12. If ‘l’, ‘b’ and ‘h’ of a cuboid are increased, decreased and increased by 1%, 3% and
2% respectively, then the volume of the cuboid
(a) increases
(b) decreases
(c) increases or decreases depending on original dimensions
(d) can’t be calculated with given data
Ans. (b)

13. The radius of the base and the height of a right circular cylinder are each increased by
10%, then the volume of the cylinder is increased by
(a) 30%
(b) 40%
(c) 42%
(4) 33.1%
Ans. (d)

14. The radius and height of a cone are each increased by 20%, then the volume of the
cone is increased by
(a) 20%
(b) 40%
(c) 60%
(d) 72.8%
Ans. (d)

15. If the volume in m3 and the surface area in m2 of a sphere are numerically equal, then
the radius of the sphere in m is
(a) 4
(b) 2
(c) 3.5
(d) 3
Ans. (d)

16. In the case of cuboid, N0 denotes the number of vertices, N1 the number of edges,
and N2 the number of faces, then
(a) N0 + N1 = N2 + 2
(b) N0 + N2 = N1 + 2
(c) N1 + N2 = N0 + 2
(d) N1+ N2 = 2N0
Ans. (b)

17. If the length of every side of a triangle is increased by 50%, then the area of the
triangle will be increased by
(a) 50%
(b) 100%
(c) 125%
(d) 150%
Ans. (c)

18. A piece of wire 132 dm long is bent successively in the shape of an equilateral
triangle, a square, a regular hexagon and a circle. Then the area included is largest
when the shape is
(a) triangle
(b) square
(c) hexagon
(d) circle
Ans. (d)

19. Two cubes have volumes in the ratio 1 : 27, then the ratio of the area of the face of
one to that of the other is
(a) 1 : 3
(b) 1 : 6
(c) 1 : 9
(d) 1 : 18
Ans. (c)

20. The curved surface of a circular cylinder of height ‘h’ and the curved surface area of
the cone of slant height 2’h’ having the same circular base, are in the ratio of
(a) 1 : 2
(b) 2 : 1
(c) 1 : 1
(d) 1 : 3
Ans. (c)

Geometry objective Questions Fully Solved For Exams

Geometry objective Questions Fully Solved For Exams
Geometry objective test Free Online Exams preperation help
Geometry Multiple Choice Practice Questions
1. Two circles are congruent if and only if they have equal
(a) chords
(c) shapes
(b) tangents
(d) radii
Ans. (d)


2. If two medians of a triangle are equal in length, then the triangle is
(a) right angled but not isosceles
(b) isosceles but not right angle
(c) right angled isosceles
(d) equilateral
Ans. (b)

3. The sum of the exterior angles of a hexagon is
(a) 360°
(b) 540°
(c) 720°
(d) none of these
Ans. (a)

4. The sides of a triangle are 5cm, 6cm and 7cm. One more ∆ is formed by joining the
mid points of the sides. The perimeter of the second ∆ is
(a) 18 cm
(b) 12 cm
(c) 9 cm
(d) 6cm
Ans. (c)

5. The sum of all the angles of a pentagon is
(a) 360°
(b) 540°
(c) 720°
(d) none of these
Ans. (b)

6. The angle which is twice its supplement is
(a) 120°
(b) 90°
(c) 60°
(d) 30°
Ans. (a)


7. The sum of the acute angles of an obtuse triangle is 70° and their difference is 10°.
The largest angle is
(a) 110°
(b) 105°
(c) 100°
(d) 95°
Ans. (a)

8. The angle which is one fifth of its complement
(a) 15°
(b) 30°
(c) 45°
(d) 60°
Ans. (a)


9. The angles of a triangle, in ascending order, are x, y, z and y – x = z – y = 100. The
smallest angle is
(a) 40°
(b) 60°
(c) 50°
(d) 70°
Ans. (c)

10. If two parallel lines are intersected by a transverse line, then the bisectors of the
interior angles forms a
(a) square
(b) rectangle
(c) parallelogram
(d) trapezium
Ans. (b)


11. If the angle in a major segment is x and in a minor segment is y, then
(a) x = y
(b) x > y
(c) x + y = 180°
(d) x < y
Ans. (d)

12. In a regular polygon, each exterior angle is twice the interior angle, then the number
of sides will be
(a) 4
(b) 3
(c) 5
(d) 6
Ans. (b)


13. The number of sides of a regular polygon, if each of its interior angles is 135°, is
given by
(a) 4
(b) 6
(c) 8
(d) 10
Ans. (c)


14. The ratio of the sides of two regular polygons is 1: 2 and their interior angles is 3: 4,
then the number of sides in each polygon is
(a) 5, 10
(b) 9, 12
(c) 10, 5
(d) 5, 12
Ans. (a)

15. Any cyclic parallelogram is a
(a) rectangle
(b) rhombus
(c) trapezium
(d) square
Ans. (a)


16. If two medians of a triangle are equal, triangle is
(a) right angled
(b) isosceles
(c) equilateral
(d) scalene
Ans. (b)

17. If the bases of two similar triangles are in the ratio of 2 : 3, then their areas are in the
ratio of
(a) 2: 3
(b) 3 : 2
(c) 4 : 9
(d) 9 : 4
Ans. (c)

18. If the sides of a triangle are in the ratio 4 :6 : 7, then the
(a) triangle is obtuse angled
(b) triangle is acute angled
(c) triangle is right angled
(d) none of these
Ans. (b)

19. In an equilateral triangle, the incentre, the orthocentre and the centroid are
(a) coincident
(b) collinear
(c) concyclic
(d) none of these
Ans. (a)


20. A circle is entirely in another circle. It is possible to draw
(a) only one common tangent
(b) two common tangents
(c) common tangent
(d) infinite number of tangents
Ans. (c)

21. A quadrilateral can be drawn, if the measures of its
(a) four sides are given
(b) three sides and a diagonal are given
(c) four sides and one angle are given
(d) four angles and one side are given
Ans. (c)

22. The orthocentre of an obtuse angled triangle lies
(a) outside the triangle
(b) inside the triangle
(c) on the smallest side of the triangle
(d) on the greatest side of the triangle
Ans. (a)

23. The angles of a pentagon in degrees are x, x +20, x + 40, x + 60 and x + 80, then the
smallest angle of the pentagon is
(a) 50°
(b) 68°
(c) 78°
(d) 85°
Ans. (b)

24. Each interior angle of a regular polygon lies between 136° and 142°, then the number
of sides of the polygon is
(a) 6
(b) 9
(c) 10
(d) 12
Ans. (b)


25. In an equiangular triangle incentre, circumcentre and orthocentre are
(a) collinear
(b) concyclic
(c) coincident
(d) none of these
Ans. (c)

What is priori approach of probability?

Priori approach assumes that all the possible outcomes of an experiment are mutually exclusive and equally likely.
The word equally likely conveys the motion of equally probable, and mutually exclusively means of one event occurs the other event will not occur.

Define the term probability.

Ans. Probability measures provide the decision-maker with the means for quantifying the uncertainties which affect the choices of appropriate actions. Understanding probability and taking decision after understanding it minimizes the risk.