**Question 1.A & B together finish a job in 24 days, while A, B & C together can finish the same job in 8 days. C alone will finish the job in**

a. 12 days

b. 14 days

c. 16 days

d. 24 days

b. 14 days

c. 16 days

d. 24 days

**Question 2.Area of the circle inscribed in a square of diagonal 6√2 cm (in sq. cms) is**

a. 9 Î

b. 6 Î

c. 3 Î

d. 9√2Î

b. 6 Î

c. 3 Î

d. 9√2Î

**Question 3.The original price of a TV set is Rs. 6,000. If the price is discounted by 20% and then raised by 10% for service contract, the price charged by the shopkeeper is**

a. Rs. 5400

b. Rs. 5280

c. Rs. 5100

d. Rs.4200

b. Rs. 5280

c. Rs. 5100

d. Rs.4200

**Question 4.A certain sum of money was divided between A, B and C in the ratio 5:6:9. If A received Rs. 450 the sum divided was**

a. 2000

b. 1800

c. 2250

d. 1000

b. 1800

c. 2250

d. 1000

**Question 5.By selling a bag at Rs. 230, profit of 15% is made. The selling price of the bag, when it is sold at 20% profit would be**

a. Rs.250

b. Rs.205

c. Rs.240

d. Rs.200

b. Rs.205

c. Rs.240

d. Rs.200

**Question 6.The weights of two iron balls are 3.5 kg and 7.5 kg. What is the percentage weight of the 1st ball with respect to 2nd ball.**

**Question 7.A Bus travels at the speed of 36 km/h, then the distance covered by it in one second is**

a. 10 m

b. 15 m

c. 12.5 m

d. 13.5 m

b. 15 m

c. 12.5 m

d. 13.5 m

**Question 8.**

a. (a+b)/(a-b)

b. -1

c. 2ab

d. 1

**Question 9.The value of (1 - √2 + (√2 - √3 + (√3 - √4 + ..... + (√15 - √16) is**

a. 0

b. 1

c. -3

d. 4

b. 1

c. -3

d. 4

**Question 10.∆ABC and ∆DEF are two similar triangles and the perimeter of ∆ABC and ∆DEF are 30 cm and 18 cm respectively. If length of DE = 36 cm, then length of AB is**

a. 60 cm

b. 40 cm

c. 45 cm

d. 50 cm

b. 40 cm

c. 45 cm

d. 50 cm

**Question 11.If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the center of the circle by chord is**

a. 1

b. ∏/2

c. ∏/3

d. ∏/4

b. ∏/2

c. ∏/3

d. ∏/4

**Question 12.The value of (sec**

^{2}45 - cot^{2}45) - (sin^{2}30 + sin^{2}60) is
a. 1

b. 2√3

c. 0

d. 1/√2

b. 2√3

c. 0

d. 1/√2

**Question 13.The average salary of male employees in a firm was Rs. 5200 and that of females was Rs. 4200. The mean salary of all the employees was Rs. 5000. What is the % of female employees?**

a. 80%

b. 20%

c. 40%

d. 30%

b. 20%

c. 40%

d. 30%

**Question 15.The cube of 105 is**

a. 1157625

b. 1175625

c. 1185625

d. 1158625

b. 1175625

c. 1185625

d. 1158625

**Question 16.In ∆ABC,**

**∠B is right angle, D is the midpoint of the side AC. If AB = 6 cm, BC = 8cm, then the length of BD is**

a. 4 cm

b. 5 cm

c. 8 cm

d. 12 cm

b. 5 cm

c. 8 cm

d. 12 cm

**Question 17.The diagonals of two squares are in the ratio 5:2.The ratio of their area is**

a. 5:6

b. 25:4

c. 5:4

d. 125:8

b. 25:4

c. 5:4

d. 125:8

**Question 18.The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is**

a. 2.3 m

b. 4.6 m

c. 9.2 m

d. 7.8 m

b. 4.6 m

c. 9.2 m

d. 7.8 m

**Question 19.The product of two 2-digit numbers is 2160 and their H.C.F. is 12. The numbers are**

a. (12, 60)

b. (72, 30)

c. (36, 60)

d. (60, 72)

b. (72, 30)

c. (36, 60)

d. (60, 72)

**Question 20.The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 1. The sum (in Rs.) is:**

a. 620

b. 630

c. 640

d. 625

b. 630

c. 640

d. 625

**Ans.**625

**Question 21.In a mixture of 25 liters, the ratio of milk to water is 4:1. Another 3 liters of water is added to the mixture. The ratio of milk to water in the new mixture is**

a. 5:1

b. 5:2

c. 5:3

d. 5:4

b. 5:2

c. 5:3

d. 5:4

**Question 22.A constituency is divided in four regions A, B, C and D. Two candidates X & Y contested the last election from that constituency. The adjoining graph gives the break-up of voting in the four regions. Study the graph and answer the following question.**

**Approximately how much percent of voters voted in favor of X?**

a. 45.4

b. 47.5

c. 50

d. 225

b. 47.5

c. 50

d. 225

**Question 23.A constituency is divided in four regions A, B, C and D. Two candidates X & Y contested the last election from that constituency. The adjoining graph gives the break-up of voting in the four regions. Study the graph and answer the following question.**

**Approximately how much percent of voters did not caste their votes?**

a. 4.9

b. 4.5

c. 0.23

d. 23

b. 4.5

c. 0.23

d. 23

**Question 24.A constituency is divided in four regions A, B, C and D. Two candidates X & Y contested the last election from that constituency. The adjoining graph gives the break-up of voting in the four regions. Study the graph and answer the following question.**

**In region B, Y gets A% more votes than X. Find the value of A?**

a. 24%

b. 21%

c. 19%

d. 15%

b. 21%

c. 19%

d. 15%

**Question 25.A constituency is divided in four regions A, B, C and D. Two candidates X & Y contested the last election from that constituency. The adjoining graph gives the break-up of voting in the four regions. Study the graph and answer the following question.**

**Nearly what percentage of his total votes did X receive from region B?**

a. 30

b. 31

c. 32

d. 35

b. 31

c. 32

d. 35

**Question 1.Find the least number, which must be subtracted from 18265 to make it a perfect square**

a. 30

**b. 38**

**c. 40**

**d. 45**

**Question 2.A and B together can do a piece of work in 36 days, B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in**

a. 8 days

b. 16 days

c. 30 days

d. 32 days

b. 16 days

c. 30 days

d. 32 days

**Question 3.Two adjacent sides of a parallelogram are 21 cms and 20 cms. The diagonal joining the endpoints of these two sides is 29 cms. The area of the parallelogram (in sq. cms) is**

a. 240

**b. 120**

**c. 210**

**d. 420**

**Question 4.A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is**

a. 4%

b. 6%

c. 10%

d. 12%

b. 6%

c. 10%

d. 12%

**Question 5.Sum of two numbers is thrice their difference. Their ratio is**

a. 1:2

**b. 2:1**

**c. 3:1**

**d. 1:3**

;

**Question 6.The average age of 36 students in a group is 14 years. When the teacher's age is included in it, the average increases by one. The teacher's age in years is**

a. 31

**b. 51**

**c. 36**

**d. 50**

**Question 7.A dishonest dealer professes to sell his goods at cost price but uses a weight of 875 grams for the kilogram weight. His gain in percentage is**

a. 17%

b. (103/7) %

c. (100/7) %

d. 14%

**Question 8.A's salary is 50% more than that of B. Then, B's salary is less than that of A by**

a. 50%

b. (100/3)%

c. (133/4)%

d. (89/2)%

**Question 9.Speed of a boat along and against the current are 14 kms/hr and 8 kms/hr respectively. The speed of the current is**

a. 11 kms/hr

b. 6 kms/hr

d. 3 kms/hr

b. 6 kms/hr

**c. 5.5 kms/hr**

d. 3 kms/hr

**Question 10.If the simple interest on Rs. 1 for 1 month is 1 paisa, then the rate percent per annum will be**

a. 10%

**b. 8%**

**c. 12%**

**d. 6%**

**Question 11.If a/b + b/a = 1, then the value of a**

^{3}+ b^{3}will be
a. 1

d. 2

**b. 0**

**c. -1**

d. 2

**:**

**Question 12.If p = 99, then the value of p(p**

^{2}+3p+3) will be
a. 999999

**b. 1000000**

**c. 1000001**

**d. 999998**

**Question 13.If a-b=1 and a**

^{3}-b^{3 }= 61, then the value of ab will be
a. -20

**b. 20**

**c. 30**

**d. 60**

**Ans.**20

**Question 14.**

a. 2a-b

c. a-b

**b. a+b**

c. a-b

**d. 2a+b**

**Question 15.The point where the 3 medians of a triangle meet is called**

a. centroid

b. Incentre

c. Circumcentre

d. orthocentre

b. Incentre

c. Circumcentre

d. orthocentre

**Question 16. Î”ABC a right angled triangle has**

**∠B = 90**

**° and AC is hypotenuse. D is its circumcentre and AB = 3 cms, BC = 4 cms. The value of BD is**

a. 3 cms

b. 4 cms

c. 2.5 cms

d. 5.5 cms

b. 4 cms

c. 2.5 cms

d. 5.5 cms

**Question 17. Î”ABC is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of Î” ABC : the area of the trapezium ADEC is**

a. 5:3

**b. 4:1**

**c. 8:5**

**d. 4:3**

**Question 18.**

a. 75°

**b. 30°**

**c. 150°**

**d. 105°**

**Question 20.If x=aCosÎ¸CosÎ¦, y = aCosÎ¸SinÎ¦ and z= aSinÎ¸, then the value of x**

^{2}+ y^{2}+ z^{2}is
a. 2a

b. 4a

c. 9a

d. a

^{2}b. 4a

^{2}c. 9a

^{2}d. a

^{2}**Question 21.A 1.6 m tall observer is 45 meters away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in meters is**

(Take √3 = 1.732).

(Take √3 = 1.732)

a. 25.98

c. 27.58

d. 27.98

**b. 26.58**

c. 27.58

d. 27.98

**Question 22.The following pie chart shows proportion of population of seven villages in 2009. Study the pie chart and answer the questions that follows :**

**If the below poverty line population of the village 'X' is 12160, then the population of village 'S' is**

a. 18500

b. 20500

c. 22000

d. 20000

b. 20500

c. 22000

d. 20000

**portion of population of seven villages in 2009. Study the pie chart and answer the questions that follows :**

**The ratio of the below poverty line population of village 'T' to that of the below poverty line population of village 'Z' is**

a. 11:23

d. 11:13

**b. 13:11**

**c. 23:11**

d. 11:13

**Question 24.The following pie chart shows proportion of population of seven villages in 2009. Study the pie chart and answer the questions that follows :**

**If the population of the village 'R' is 32000, then the below poverty line population of village 'Y' is**

a. 14100

b. 15600

c. 16500

d. 17000

b. 15600

c. 16500

d. 17000

**Question 25.The following pie chart shows proportion of population of seven villages in 2009. Study the pie chart and answer the questions that follows :**

**In 2010, the population of 'Y' and 'V' increases by 10% each and the percentage of population below poverty line remains unchanged for all the villages. If in 2009, the population of village Y was 30,000, then the below poverty line population of village 'V' in 2010 is _____.**

a. 11250

**b. 12760**

**c. 13140**

**d. 13780**

**Question 1.X can do a piece of work in 'p' days and Y can do the same work in 'q' days. Then the number of days in which X and Y can together do that work is**

a. p+q/2

b. 1/p + 1/q

c. pq/p+q

d. pq

**Question 2.A shopkeeper marks his goods 40% above the cost price and allows a discount of 25% on it. His gain % is**a. 5%

b. 10%

c. 15%

d. 20%

**Question 3.The ratio of the ages of two boys is 3:4. After 3 years, the ratio will be 4:5.The ratio of their ages after 21 years will be**a. 14:17

b. 17:19

c. 11:12

d. 10:11

**Question 4.The cost price of 25 books is equal to the selling price of 20 books. The profit percent is**a. 20%

b. 22%

c. 24%

d. 25%

**Question 5.One number is 25% of another number. The larger number is 12 more than the smaller. The large number is**a. 48

b. 16

c. 4

d. 12

**Question 6.A train 500 m long, running at a uniform speed, passes a station in 35 sec. If the length of the platform is 221 m, the speed of the train in km/hr is**a. 721/35

b. 74.16

c. 24.76

d. 78.54

**Question 7.If the simple interest on Rs. 400 for 10 years is Rs. 280, then rate of interest per annum is**

a. 7%

c. 7 ¼ %

d. 8 ½ %

**b.**7 ½ %c. 7 ¼ %

d. 8 ½ %

**Question 8.**

a. -1

b. 1

c. 0

d. 1/2

b. 1

c. 0

d. 1/2

**Question 9.**

a. 1/5

b. 1/6

c. 5

d. 6

b. 1/6

c. 5

d. 6

**Question 10.G and AD are respectively the centroid and median of the triangle Î”ABC.The ratio AG:AD is**

a. 3:2

b. 2:3

c. 2:1

d. 1:2

b. 2:3

c. 2:1

d. 1:2

**Question 11.A point P lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its**a. Centroid

b. Incentre

c. Orthocentre

d. Circumcentre

**Question 12.If sinÎ¸ + cosÎ¸ = 1, then the sinÎ¸ cosÎ¸ is equal to**

**a.**0

**b.**1

**c.**½

**d.**-½

**Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be**

a. 1

b. 0

c. 2

d. -1

b. 0

c. 2

d. -1

**Question 14.The average age of eight teachers in a school is 40 years. A teacher among them died at the age of 55 years whereas another teacher whose age was 39 years joins them. The average age of the teachers in the school now is (in years)-**a. 35

b. 36

c. 38

d. 39

**Question 15.**

a. 0

b. 1

c. 2

d. 3

b. 1

c. 2

d. 3

**Ans.**2

**Explanation:**a

^{2}= b +c; => a

^{2}+a = a + b +c; => a(1+a) = a + b +c; => 1/(1+a)=a/(a+b+c);

Similarly, 1/(1+b) = b/(a+b+c); and 1/(1+c)=c/(a+b+c);

Plugging these values in the given problem-

2/(1+a) + 2/(1+b) + 2/(1+c) = 2[(a+b+c)/(a+b+c)]=2;

**Question 17.Two equal circles of radius 3 cm each and distance between their centres is 10 cm. The length of one of their transverse common tangent is**

**a. 7 cm**

b. 9 cm

c. 10 cm

d. 8 cm

**Question 18.**

a. 90

b. 45

c. 60

d. 75

b. 45

c. 60

d. 75

Finally, the triangle will look like this-

**Question 19.**

a. 4/3

b. 3/4

c. 5/3

d. 3/5

b. 3/4

c. 5/3

d. 3/5

**Question 20.A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is**

a. 5√5 cm

b. 5√3 cm

c. 5√15 cm

d. 5√10 cm

b. 5√3 cm

c. 5√15 cm

d. 5√10 cm

**Question 21.The angle of elevation of the top of a tower from a point A on the ground is 30˚. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60˚. The height of the tower in meters is-**

**a.**√3

**b.**5√3

**c.**10√3

**d.**20√3

**Question 22.Given here is a pie chart of the cost of gold in 2010, 2011, 2012 and 2013. Study the chart and answer the following questions If the price of gold in 2013 is Rs. 31,500 per 10 gram, then the price of gold in 2011 per 10 gram is**

a. Rs.17000

b. Rs.17500

c. Rs.18000

d. Rs.18500

b. Rs.17500

c. Rs.18000

d. Rs.18500

**Question 23.Given here is a pie chart of the cost of gold in 2010, 2011, 2012 and 2013. Study the chart and answer the following questions**

**The ratio of the price of gold in the two years 2010 and 2013 is**

a. 1:2

b. 1:3

c. 1:4

d. 1:5

**Question 24.Given here is a pie chart of the cost of gold in 2010, 2011, 2012 and 2013. Study the chart and answer the following questions**

**The percentage of increase in the price of gold from the year 2011 to 2013 is**a. 50%

b. 60%

c. 70%

d. 80%

**Question 25.Given here is a pie chart of the cost of gold in 2010, 2011, 2012 and 2013. Study the chart and answer the following questions**

**The ratio of percentage of increase in price of gold from 2011 to 2012 and 2012 to 2013 is**

**a.**6:5

**b.**7:5

**c.**8:5

**d.**9:5

**Question 1.A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is**

a. 4 days

b. 6 days

c. 8 days

d. 12 days

**Question 2.The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is**

a. 2:3

b. 3:2

c. 9:4

d. 4:9

**Question 3.A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is**

a. Rs.1200

b. Rs.1205

c. Rs.1250

d. Rs.1275

b. Rs.1205

c. Rs.1250

d. Rs.1275

**Question 4.In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is**

a. 36

b. 60

c. 40

d. 50

b. 60

c. 40

d. 50

**Question 5.In what time will a 100 metres long train running with a speed of 50 km/hr cross a pillar?**

a. 7.0 sec

b. 72 sec

c. 7.2 sec

d. 70 sec

b. 72 sec

c. 7.2 sec

d. 70 sec

**Question 7.If l + m + n = 9 and l**

^{2}+ m^{2}+ n^{2}= 31, then the value of lm + mn + nl will be
a. 22

b. 50

c. 25

d. -25

b. 50

c. 25

d. -25

**Question 8.The centroid of a triangle is the point where**

a. the medians meet

b. the altitudes meet

c. the right bisectors of the sides of the triangle meet

d. the bisectors of the angles of the triangle meet

b. the altitudes meet

c. the right bisectors of the sides of the triangle meet

d. the bisectors of the angles of the triangle meet

.

**Question 9.In a triangle PQR, the side QR is extended to S.**

**∠QPR = 72**

**° and**

**∠PRS = 110**

**°, then the value of**

**∠PQR is:**

a. 38°

b. 32°

c. 25°

d. 29°

b. 32°

c. 25°

d. 29°

**Question 10.In a trapezium ABCD, AB || CD, AB < CD, CD = 6 cm and distance between the parallel sides is 4 cm. If the area of ABCD is 16 cm**

^{2}, then AB is
a. 1 cm

b. 2 cm

c. 3 cm

d. 8 cm

b. 2 cm

c. 3 cm

d. 8 cm

**Question 11.If tanÎ¸ + cotÎ¸ = 5, then the value of tan**

^{2}Î¸+ cot^{2}Î¸ isa. 22

b. 25

c. 23

d. 27

**Question 12.When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be**

a. 6

b. 7

c. 5

d. 3

**Question 13.If a shop keeper marks his goods for a certain amount so as to get 25% gain after allowing a discount of 20%, then his marked price is**

a. Rs.156.25

b. Rs.146.25

c. Rs.166.67

d. Rs.150.25

**Question 14.The average of marks of 17 students in an examination was calculated as 71. But it was later found that the mark of one student had been wrongly entered as 65 instead of 56 and another as 24 instead of 50. The correct average is**

a. 70

b. 71

c. 72

d. 73

b. 71

c. 72

d. 73

**Question 15.The simple interest on a sum for 5 years is two-fifth of the sum. The rate of interest per annum is**

a. 0.1

b. 0.08

c. 0.06

d. 0.04

b. 0.08

c. 0.06

d. 0.04

**Question 17.If a - b = 3 and a**

^{2}+ b^{2}= 25, then the value of ab is
a. 16

b. 8

c. 10

d. 15

b. 8

c. 10

d. 15

**Question 18.In Î”ABC,**

**∠B = 70**

**°and**

**∠C = 60**

**°. The internal bisectors of the two smallest angles of**

**Î”ABC meet at O. The angle so formed at O is**

a. 125°

b. 120°

c. 115°

d. 110°

b. 120°

c. 115°

d. 110°

**Ans.**125°

**Question 19.If Î¸ be positive acute angle and 5cosÎ¸ + 12sinÎ¸ = 13, then the value of cosÎ¸ is**

a. 12/13

b. 5/13

c. 5/12

d. 1/5

b. 5/13

c. 5/12

d. 1/5

**Question 20.A cylinderical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of the conical heap is 24 cm, what is the radius of its base?**

a. 12 cm

b. 24 cm

c. 36 cm

d. 48 cm

b. 24 cm

c. 36 cm

d. 48 cm

**Question 21.The angle of elevation of the top of a pillar from the foot and the top of a building 20 m high, are 60° and 30° respectively. The height of the pillar is**

a. 10 m

b. 10√3m

c. 60 m

d. 30 m

b. 10√3m

c. 60 m

d. 30 m

**Question 22.The pie-chart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions.**

If the total number is 35000, then the difference between the numbers of literate male and literate female is

a. 3500

b. 3700

c. 400

d. 4500

b. 3700

c. 400

d. 4500

**Question 23.The pie-chart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions.**

The difference of central angles corresponding to illiterate male and illiterate female is

a. 12.2°

b. 13.4°

c. 11.2°

d. 14.4°

b. 13.4°

c. 11.2°

d. 14.4°

**Question 24.The pie-chart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions.**

If the difference between the two categories of people are represented by 36° in the diagram then these categories are

a. literate male and literate female

b. literate male and illiterate male

c. illiterate male and literate female

d. illiterate male and illiterate female

b. literate male and illiterate male

c. illiterate male and literate female

d. illiterate male and illiterate female

**Question 25.The pie-chart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions.**

If two categories together have a central angle of 169.2

^{},then these categories are

a. literate female and illiterate female

b. literate male and illiterate female

c. illiterate male and illiterate female

d. illiterate male and literate female

b. literate male and illiterate female

c. illiterate male and illiterate female

d. illiterate male and literate female