SSC (PRE + MAINS) MATHS M O C K TEST PAPER HANSRAJ MATHS ACADEMY

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1 SSC (PRE + MINS) MTHS M O C K TEST PPER - Quantitative ptitude (00 Questions) HNSRJ MTHS CDEMY

sec + cosec, if 0º < < 90º sin + cos + sec + cosec +

CD sells same number of mangoes and he loss euqal to

Find out the difference in numerical value of profit

+ C = CD + D () + CD = C + D (C) D = C (D) None of

In C, G centroid, = 5 cm, C = 8 cm and C = 5 cm.

= 5 GD D C 86 () 86 (C) 8 5 (D) None of On certain

60 at 0% per annum Rate of interest. Find sum?

If tan( + ) tan (+ ) =, then find the value of sin (5

If they melting together and form a new ring then

One day a fruitseller sells 00 mangoes and he gains

From th container, 5 liter of water was taken out and

(D) 9 : 5 9. Three circles touch each other eternally.

2 SSC MINS (MTHS) MOCK TEST PPER. Find the minimum value of sin + cos + sec + cosec + sec + cosec, if 0º < < 90º sin + cos + sec + cosec + sec + cosec 0º < < 90º 0 () 5 (C) 6 (D) 7. circle touches a Quadrilateral CD. Find the true statement. CD sells same number of mangoes and he loss euqal to the selling price of 0 mangoes. Find out the difference in numerical value of profit and loss percentage in both condition. + C = CD + D () + CD = C + D (C) D = C (D) None of these. In C, G centroid, = 5 cm, C = 8 cm and C = 5 cm. Find GD, where D the mid point of C : C G = 5 C = 8 C = 5 GD D C 86 () 86 (C) 8 5 (D) None of these. On certain sum rd year compound interest Rs at 0% per annum Rate of interest. Find sum? Rs 70 () Rs 00 (C) Rs 600 (D) Rs If tan( + ) tan (+ ) =, then find the value of sin (5 + ). (C) tan( + ) tan (+ ) =, sin (5 + ) () (D) 6. Two golds with weight of 8 and gms. and they have purity of 0 carrate and 5 carrate. If they melting together and form a new ring then tell the purity (in carrate). 7.5 () 6 (C) 8 (D) 9 7. One day a fruitseller sells 00 mangoes and he gains equal to the selling price of 0 mangoes net day he 5% () 6 % (C) 8 % (D) 6 % 8. container contains 50 liter of water. From th container, 5 liter of water was taken out and 'replaced by alcohol. Th process was further repeated once. Now in container ratio of water and alcohol : () (C) (D) 9 : 5 9. Three circles touch each other eternally. The dtance between their centres 5 cm, 6 cm, 7 cm. Find the Raddi of circles. cm, cm, cm () cm, cm, cm (C) cm,.5 cm,.5 cm (D) cm, cm, cm 0. sum of money lent at % per annum for year time. If same amount for same time lent at ( + )% per annum then gets Rs 96 more interest. Find out the sum? % + Rs 000 () Rs 000 (C) Rs 00 (D) Rs 000. In circle of radius 5 cm, and C are the two cords such that = C = 6 cm. Find the length of cord C 5 C = C = 6 C.8 cm () 0.8 cm (C) 9.6 cm (D) 6 cm

. Find the value of tan 0º. tan 50º. tan 70º.

If + y = and y =, then the value of y + y = y =, y () (C)

the ratio : C : D as CD 60º, : C : D : : () : : (C) : :

The angles of a triangle are ()º, ( 7)º and ( )º, the

The trains are running at a speed of 50 km and 0 km/hr

The train running at 50 km/hr crosses a man in the other

The length of the first train 66 metre (C) 9 metre () 86

If a b c = 0, then the value of a b c = 0, ( a b c) ab ( a

Let D has a median of the C and G be the centroid.

`,70,000 () `,,000 (C) `,0,000 (D) `,68,000.

triangle are same and their areas are C, S and T

C, S T C = S = T () C > S > T (C) C < S < T (D) S < C < T.

for the same time ` 0 ` 00 () ` 00 (C) ` 50 (D) ` 05.

When the thief goes 0 steps the policeman moves 8 steps.

3 . Find the value of tan 0º. tan 50º. tan 70º. tan 60º tan 0º. tan 50º. tan 70º. tan 60º (C) () (D). If + y = and y =, then the value of y + y = y =, y () (C) (D). The value of k, for which the epression k divible by k k 6 () 8 (C) (D) 5. ngle of a parallelogram CD 60º, the other angles are in the ratio : C : D as CD 60º, : C : D : : () : : (C) : : (D) : : 6. The angles of a triangle are ()º, ( 7)º and ( )º, the value of ()º, ( 7)º ( )º, 8º () 0º (C) º (D) 0º 7. The trains are running at a speed of 50 km and 0 km/hr respectively in the same direction. The train running at 50 km/hr crosses a man in the other train in 8 seconds. The length of the first train 66 metre (C) 9 metre () 86 metre (D) 00 metre 8. If a b c = 0, then the value of a b c = 0, ( a b c) ab ( a b c) ab () 0 (C) (D) 9. Let D has a median of the C and G be the centroid. If G = cm, then the length of D D, C G G = D 6 cm () 0 cm (C) cm (D) 5 cm 0. Vinodh purchased a Maruti van for `,96,000 and the rate of depreciation %. The value of the van 7 after two years : 7 % `,96,000 `,70,000 () `,,000 (C) `,0,000 (D) `,68,000. The perimeter of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively. Which of the following statement true? C, S T C = S = T () C > S > T (C) C < S < T (D) S < C < T. The compound interest on a certain sum of money for years at 5% per annum ` 0. The simple interest on the same sum at the same rate and for the same time ` 0 ` 00 () ` 00 (C) ` 50 (D) ` 05. policeman starts to chase a thief. When the thief goes 0 steps the policeman moves 8 steps. 5 steps of the policeman equal to 7 steps of the thief. The ratio of the speeds of the policeman and the thief 5 : 8 () 5 : 56 (C) 8 : 5 (D) 56 : 5. In two successive years, 80 and 60 students of a school appeared at the final eamination of which 60% and 80% passed respectively. The average rate of students passed (in percent) 68% () 68 7 % (C) 70% (D) 7 7 % 5. Nha bought a number of oranges at for a rupee and an equal number of for a rupee. To make a profit of 0% she should sell a dozen for

` 6 () ` 8 (C) ` 0 (D) ` 6. What the value of (99) (99) (9999) (99) (99) (9999) 0 () (C) (D) 00 7.

8 men can dig a pit in 0 days. If a man works half more as much as a boy, then men and 9 boys can dig a similar pit in? of 0%.

If the males increase by 5% and females by 0%, the population will be 5,500.

5,000 females 5,000 5. cyclt completes a certain journey in 7 hours.

The dtance (in km) covered by the cyclt 5 days () 0 days (C) days (D) 6 days 0.

On the top of a cubical bo a pyramid placed, base of the pyramid being the same as the top of the bo.

The ratio of the volume of the combined body to that of the bo 7 () 76 (C) 66 (D) 8 6. train 00 m long takes sec.

5 76 km/hr () 9 km/hr (C) 86 km/hr (D) 66 km/hr 7. The simple interest on `,80 from Oct.9, 99 to Dec.

4 ` 6 () ` 8 (C) ` 0 (D) ` 6. What the value of (99) (99) (9999) (99) (99) (9999) 0 () (C) (D) The value of ( + ) + ( ) ( + ) + ( ) 98 () 80 (C) 08 (D) The sum of all prime numbers between 0 and 60 0 () 6 (C) 57 (D) men can dig a pit in 0 days. If a man works half more as much as a boy, then men and 9 boys can dig a similar pit in? of 0%. ` 600 ` 750 () ` 850 (C) ` 800 (D) ` 700. The population of a town 50,000. If the males increase by 5% and females by 0%, the population will be 5,500. The number of males and females are males 0,000 females 5,000 () males 5,000 females 5,000 (C) males 0,000 females 0,000 (D) males 5,000 females 5, cyclt completes a certain journey in 7 hours. He covers half the dtance at km/hr and the second half of the dtance at 9 km/hr. The dtance (in km) covered by the cyclt 5 days () 0 days (C) days (D) 6 days 0. The difference between the interior and eterior angles of a regular polygon 0º. The number of sides of polygon 0º 8 () (C) 8 (D) 6. On the top of a cubical bo a pyramid placed, base of the pyramid being the same as the top of the bo. Height of the pyramid twice the height of the bo. The ratio of the volume of the combined body to that of the bo 7 () 76 (C) 66 (D) 8 6. train 00 m long takes sec. to cross a man walking 5 at the rate of 6 km/hr in a direction opposite to that of the train. Find the speed of the train km/hr () 9 km/hr (C) 86 km/hr (D) 66 km/hr 7. The simple interest on `,80 from Oct.9, 99 to Dec., 99 at 7 % will be `,80 7 % / () 5/ (C) 5/ (D) 8/5. fan lted of ` 50 with a dcount of 0%. What additional dcount must be offered to the customer to bring the net price of ` 08? ` 50 ` 08 0% () % (C) 8% (D) 0%. photographer allows a dcount of 0% on the marked price of a camera. What price must be marked on the camera, which costs him ` 600 to make a profit `.50 () ` 7.0 (C) ` 8.80 (D) ` 9 8. The area of the triangle formed by the =, y = and + y = equal to =, y = + y = sq. unit () sq. unit (C) 6 sq. unit (D) sq. unit 9. The intersecting point of the graphs y = 0 and + y = 0 y = 0 + y = 0 (0, 0) () (, ) (C) (0, ) (D) (, )

0. If = 5 +, then the value of = 5 +, 8 5 () 6 5

Two pipes can fill a tank with water in 5 and

respectively, the tank will be emptied at am : 0

can fill it in 0 minutes and can empty it in 0

If and be kept open alternately for one minute

0 minutes () 0 minutes (C) 5 minutes (D) 0 The

them. If the remaining two numbers are in the

can contains a miture of two liquids and in the

When 9 litres of miture are drained off and the

How many litres of liquid was contained by the

7 : 5 7 : 9 0 litres () 0 litres (C) litres (D) 5

The ratio of two liquids in a miture : 5 and that

The ratio in which these two mitures should be

the number of black and brown pairs by mtake

The ratio of the number of black and brown pairs

5 0. If = 5 +, then the value of = 5 +, 8 5 () 6 5 (C) 5 (D) 0 5. Two pipes can fill a tank with water in 5 and hours respectively and a third pipe can empty it in hours. If the pipes be opened in order at 8, 9 and a.m. respectively, the tank will be emptied at am : 0 a.m. () : 0 p.m. (C) : 0 p.m. (D) : 0 p.m.. ctern provided with two pipes and. can fill it in 0 minutes and can empty it in 0 minutes. If and be kept open alternately for one minute each, how soon will be ctern be filled? 0 minutes () 0 minutes (C) 5 minutes (D) 0 minutes. The average of numbers 6, whereas average of 9 of them. If the remaining two numbers are in the ratio of :, find the value of the smaller number (between remaining two numbers). : 5 () 8 (C) 5 (D) 6. can contains a miture of two liquids and in the ratio 7 : 5. When 9 litres of miture are drained off and the can filled with, the ratio of and becomes 7 : 9. How many litres of liquid was contained by the can initially? 7 : 5 7 : 9 0 litres () 0 litres (C) litres (D) 5 litres 5. The ratio of two liquids in a miture : 5 and that in another miture 6 :. The ratio in which these two mitures should be mied so as to make the ratio of the liquids 7 : : 5 6 : 7 : : 7 () : 8 (C) : 9 (D) : 9 6. man ordered pairs of black socks and some pairs of brown double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mtake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was: 50% : () : (C) : (D) : 7. If for an osceles triangle the length of each equal side 'a' units and that of the third side 'b' units, then its area will be 'a' 'b' a b a square units a () a b square units (C) b a b square units (D) b a b square units 8. The perimeter of five squares are cm, cm, 0 cm, 76 cm and 80 cm respectively. The perimeter of another square equal in area to sum of the areas of these squares : cm () 6 cm (C) cm (D) 96 cm 9. C an equilateral triangle of side cm. With,, C as centre and radius cm three arcs are drawn. The area of the region within the triangle bounded by the three arcs C, C cm () cm (C) cm (D) cm 5

50. Three circles of equal radius 'a' cm touch each other.

The base of a solid right prm a triangle whose sides are 9 cm, cm and 5 cm. The height of the prm 5 cm. Then, the total surface area of the prm a sq.

The total number of spherical bullets, each of diameter 5 decimeter, that can be made by utilizing the maimum of a rectangular block of lead with metre length, 0

6 cm high and radius of its base.6 cm. It melted and recast into a right circular cone with radius of its base as. cm. Then the height of the cone (in cm) 80 cm () cm (C) 88 cm (D) 70 cm 56.

The ratio of the total surface area of one of the small cubes to that of the large cube equal to: 5 : 5 () : 5 (C) : 65 (D) : 5 57.

5 metres and area of the base ( 5) square metres, (take = /7) ( 5) 6 minutes () 5 minutes (C) 0 minutes (D) 9 minutes 58.

(D) 7. 5. The length of the perpendiculars drawn from any point in the interior of an equilateral triangle to the respective sides are p, p and p.

6 50. Three circles of equal radius 'a' cm touch each other. The area of the shaded region : 'a' the canvas required to make the tent (take = /7) 85 m () 095 m (C) 9900 m (D) 990 m 55. The base of a solid right prm a triangle whose sides are 9 cm, cm and 5 cm. The height of the prm 5 cm. Then, the total surface area of the prm a sq. cm () (C) a sq. cm (D) 6 a a sq. cm sq. cm 5. The total number of spherical bullets, each of diameter 5 decimeter, that can be made by utilizing the maimum of a rectangular block of lead with metre length, 0 metre breadth are 5 metre width (assume that > ) > equal to 8800 () less than 8800 (C) equal to 800 (D) greater than right circular cone.6 cm high and radius of its base.6 cm. It melted and recast into a right circular cone with radius of its base as. cm. Then the height of the cone (in cm) 80 cm () cm (C) 88 cm (D) 70 cm 56. cube of edge 5 cm cut into cubes each of edge of cm. The ratio of the total surface area of one of the small cubes to that of the large cube equal to: 5 : 5 () : 5 (C) : 65 (D) : Water flows through a cylindrical pipe, whose radius 7 cm, at 5 metre per second. The time, it takes to fill an empty water tank, with height.5 metres and area of the base ( 5) square metres, (take = /7) ( 5) 6 minutes () 5 minutes (C) 0 minutes (D) 9 minutes 58. train covers a certain dtance in 0 minutes at a speed of 60 kmph. The time taken by the train, to cover the same dtance at a speed of 80 kmph :.6 ().8 (C) 6. (D) The length of the perpendiculars drawn from any point in the interior of an equilateral triangle to the respective sides are p, p and p. The length of each side of the triangle 5 8 hours (C) 5 8 hours () 5 8 hours (D) hours p, p p (p + p + p ) () (p + p + p ) (C) (p + p + p ) (D) (p + p + p ) 5. circus tent cylindrical up to a height of m and conical above it. If its diameter 05 m and the slant height of the conical part 6 m, then the total area of 59. car driver leaves angalore at 8:0 am and epects to reach a place 00 km from angalore at :0 am t 0:0 am he finds that he has covered only 0% of the dtance. y how much he has to increase the speed of the car in order to keep up h schedule? 8 : 0 am :0 am 0:0 am 0% 5 km/hr (C) 5 km/hr () 0 km/hr (D) 5 km/hr 6

7 60. Two trains start from stations and and travel towards each other at speed of 50 km/hour and 60 km/ hour respectively. t the time of their meeting, the second train has travelled 0 km more than the first. The dtance between and : 990 km () 00 km (C) 0 km (D) 0 km 6. Two partners invest ` 5000 and ` respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit to be divided into ratio of their capitals. If one partner gets ` 00 more than the other. Find the total profit made in the business. ` 5000 ` % ` 00 ` () ` (C) ` (D) ` , and C become partners in a business. contributes / rd of the capital for / th of the time contributes / 5 th of the capital for /6 th of the time and C the rest of the capital for the whole time. If the profit `,80, then the 's share in profit :, C / / /5 /6 C ` 80 ` 0 () ` 60 (C) ` 9 (D) ` 0 6. C an osceles triangle with = C, circle through touching C at the middle point intersects at P. Then P : : C = C, C P P : : () : (C) : 5 (D) : 6. C an osceles triangle and C a units, C a unit. Draw D C, and find the length of D. C C a C a D C 5 a unit () 5 D a unit 7 (C) 7 a unit (D) a unit 65. L and CM are medians of C, right angled at and C = 5 cm. If L = 5 cm, then the length of CM C L CM CM C = 5 L = 5 5 cm () 5 cm (C) 0 cm (D) 0 cm 66. chord of a circle C of radius cm touches a circle C which concentric to C. If the radius of C cm. The length of : C C C C cm () 8 cm (C) cm (D) cm 67. In a circle of radius 7 cm, two parallel chords of length 0 cm and 6 cm are drawn. If both chords are on the same side of the centre. Then the dtance between the chords 9 cm (C) cm () 7 cm (D) cm 68. In a C, D,E and CF are three medians. Then the ratio D E CF : C C C D,E CF D E CF : C C equal to / () less than / (C) greater than / (D) equal to / 69. ll sides of a quadrilateral CD touch a circle. If = 6 cm, C = 7.5 cm, CD = cm, then D CD = 6 C = 7.5 CD = D.5 cm (C).5 cm ().5 cm (D).5 cm 7

polygons are 5 : 6 : 5 0, () 0, (C) 5, 8

a, b and c are the lengths of three sides

If a, b and c are related by the relation

of (sin + sin + sin C) a, b c C a, b c a +

If sin 5º = y cosec 0º 9 y () 6 (C) (D) 8

0º cosec 59º tan º () (C) (D) equal to y,

From a point P on the ground the angle of

the angle of elevation of the top of the

shaped bottles of diameter 5 cm and height

The points P and O are joined and produced

8 70. Ratio of the number of sides of two regular polygons 5 : 6 and the ratio of their each interior angle : 5. Then the number of sides of these two polygons are 5 : 6 : 5 0, () 0, (C) 5, 8 (D) 5, 7. a, b and c are the lengths of three sides of a triangle C. If a, b and c are related by the relation a + b + c = ab + bc + ca, then the value of (sin + sin + sin C) a, b c C a, b c a + b + c = ab + bc + ca (sin + sin + sin C) (C) () (D) 7. If sin 5º = y cosec 0º, then 7. If sin 5º = y cosec 0º 9 y () 6 (C) (D) 8 sec 70º cot 0º cosec 59º tan º sec 70º cot 0º cosec 59º tan º () (C) (D) equal to y, then m equal to: m, m m tan cot 7. equal to / cot tan tan cot () + tan cot (C) tan + cot (D) + tan + cot 75. From a point P on the ground the angle of elevation of the top of a 0 m tall building 0º. flag hoted at the top of the building and the angle of elevation of the top of the flagstaff from P 5º. Find the length of the flagstaff take.7 5º P 0º P 0 0 m () 0 0 (C) 0 m (D) 7. m m 76. hempherical bowl of internal radius 5 cm contains a liquid. The liquid to be filled into cylindrical shaped bottles of diameter 5 cm and height 6 cm. The number of bottles required to empty the bowl 0 () 0 (C) 50 (D) O and C are respectively the orthocentre and the circumcentre of an acute-angle triangle PQR.The points P and O are joined and produced to meet the side QR at S. If PQS = 60º and QCR = 0º, then RPS = PQR O C P O QR S PQS = 60º QCR = 0º RPS =? 0º () 5º (C) 00º (D) 60º 78. I the incentre of C, C = 60º and C = 50º. Then IC I, C C = 60º C = 50º IC 55º () 5º (C) 70º (D) 65º 79. I and O are respectively the incentre and circumcentre of a triangle C. The line I produced intersects the circumcircle of C at the point D. If C = º, y ID = yº and OD = zº, then =? z I O C I C D C = º, ID = yº OD = zº y =? z () (C) (D) 80. Two equal circles of radius 8 cm intersect each other such that each passes through the centre of the other. The length of the common chord cm () 8 cm (C) cm (D) 6 cm 8. Inside a square CD, EC an equilateral triangle. If CE and D intersect at O, then OC CD EC CE D, O OC 60º () 75º (C) 90º (D) 0º 8

8. CD a trapezium whose side D parallel to C, diagonals C and

If O =, CO =, O = 9 and DO = 5, the value(s) of will be: CD

9 8. cyclic quadrilateral CD such that = C, D = DC, C D, CD

sin (D) cos 86. For any real value of sec? sec sec?

Two post are metres apart and the height of one double that

If from the mid-point of the line joining their feet an

complementary, then the height (in metres) of the shorter

man standing at a point P watching the top of a tower, which

The man walks some dtance towards the tower and then () h

If the height of tower 0 m, then the dtance he moves P 0º 60º

The average weight of student in four section,, C and D 60 kg.

5 kg, 50kg, 7 kg and 80 kg respectively.

kg and that of and C 60kg. What the ratio of the no.

,, C D,, C D C D : () : (C) 5 : 8 (D) : 90.

9 8. CD a trapezium whose side D parallel to C, diagonals C and D intersect at O. If O =, CO =, O = 9 and DO = 5, the value(s) of will be: CD D, C C D O O =, CO =, O = 9 DO = 5 7, 6 (), 6 (C) 7, 0 (D) 8, 9 8. cyclic quadrilateral CD such that = C, D = DC, C D, CD =, then the angle C =? CD = C, D = DC, C D, CD = C =? () / (C) (D) 8. If cos = + 5, then the value of will be cos = () (C) (D) None of these 85. sin sin The value of (0º < < 90º) cos cos cosec () sec (C) sin (D) cos 86. For any real value of sec? sec sec? sec cot cosec () sec tan (C) cosec cot (D) tan sec 87. Two post are metres apart and the height of one double that of the other. If from the mid-point of the line joining their feet an observer find that angular elevations of their tops to be complementary, then the height (in metres) of the shorter post (C) (D) 88. man standing at a point P watching the top of a tower, which makes an angle of elevation of 0º. The man walks some dtance towards the tower and then () h angle of elevation of the top of the tower 60º. If the height of tower 0 m, then the dtance he moves P 0º 60º m () m (C) 0 m (D) 0 m 89. The average weight of student in four section,, C and D 60 kg. The average weight of the students,, C and D individually are 5 kg, 50kg, 7 kg and 80 kg respectively. If the average weight of a student of section and together 8 kg and that of and C 60kg. What the ratio of the no. of students in section and D?,, C D,, C D C D : () : (C) 5 : 8 (D) : 90. publher publhes 000 copies of a book at the cost of ` 00. He dtributed 500 copies for free of cost. He gave 5% dcount on the marked price and offered free book at the sale of books. In th way he sold the entire books. If the marked priceof book `.5. Find its percentage profit or loss. ` % `.5 50 % () 6 % (C) 6 % (D) 5 % 9. y selling an article at /th of the marked price, there a gain of 5%. The ratio of the marked price and the cost price / 5% 5 : () : 5 (C) : (D) : 9

Find maimum number of wagon that can be attached so that speed of the engine lowest.

He was walking at an average speed of km/hr and saw a train coming behind him.

Find the speed of the train? the year, then find the share of.

Find range of/ 5 cos ( +) 8 5 cos (+) () 5 5 cos (+) (C) 5 5 cos (+) 5 (D) 8 5 cos (+)

If each person requires 6 m of floor area and 00 m space for air then the height of the

6 m 00 m ` 8 5 km/hr (C) 8 5 km/hr () 6 5 km/hr (D) 5 km/hr 9.

The average age of boys in the class twice the number of girls in the class.

The total of the ages (in years) of the boys in the class : 000 () 500 (C) 800 (D) 00

10 9. Speed of a steam engine 0 km/hr. Decrease in speed of the engine directly proportional to the square root of number of wagons attached. If 9 wagons attached to the engine speed of the engine decreased to km/hr. Find maimum number of wagon that can be attached so that speed of the engine lowest. 5 () (C) 6 (D) 9. man could see only 50 meters in fog. He was walking at an average speed of km/hr and saw a train coming behind him. The train was 0 meters in length and dappeared after 0 seconds. Find the speed of the train? the year, then find the share of. ` ` 0000 () ` 0000 (C) ` 8000 (D) ` Find range of/ 5 cos ( +) 8 5 cos (+) () 5 5 cos (+) (C) 5 5 cos (+) 5 (D) 8 5 cos (+) persons will live in a tent. If each person requires 6 m of floor area and 00 m space for air then the height of the cone of smallest size to accomodate these persons would be? 6 m 00 m ` 8 5 km/hr (C) 8 5 km/hr () 6 5 km/hr (D) 5 km/hr 9. If = a a b a a b then ( + b) equal to = a a b a a b, ( + b) 0 () a (C) a (D) 95. The average age of boys in the class twice the number of girls in the class. The ratio of boys and girls in the class of 50 :. The total of the ages (in years) of the boys in the class : 000 () 500 (C) 800 (D) and start a business with capital ` 0,000 and 0,000 respectively. gets 0% from total profit for managing the business. If ` 60,000 profit they gain in the end of 6 m () 8.75 m (C) 0.5 m (D) 0 m 99. If the area of the circular shell having inner and outer radii of 8 cm and cm respectively equal to the total surface area of a cylinder of radius R and height h, then h term of R will be (C) h 0 R R R 0 7R () (D) R 0 R R R R If a = 7 and b = 7 then (a + b ) equal to a = 7 b = 7 (a + b ) 0 () (C) 8 (D) 5 h R 0

MATHS WORKSHOP NTSE MENSURATION (SURFACE AREA AND VOLUME) A Pre-Foundation Program PAGE# 1. A Pre-Foundation Program

MATHS WORKSHOP NTSE MENSURATION (SURFACE AREA AND VOLUME) PAGE# PAGE# VOLUME AND SURFACE AREA OF A FRUSTUM OF A RIGHT CIRCULAR CONE Total surface area of the frustum = curved surface area + surface area