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

2 SSC MINS (MTHS) MOCK TEST PPER. Coefficient of x in (x ) (x ) (x ) (x 4) (x ) (x ) (x ) (x 4) x () 0 () 4. The HCF of,, 4 8 he observes that a train overtakes him in minutes and get dappeared. If length of train 00 metre, find the speed of the train.,, 4 8 () 96 4 () 84. bus covers a dtance at a certain speed. If he increases speed at 7 km/hr it will take hr. less and if he decrease h speed by km/hr., it will take hour more. Find the dtance. 4 () 8 km/hr 0 km/hr () 4 km/hr km/hr 7. triangle has sides in ratio of 4 : : 6. If inradius of triangle cm. Then find height of triangle on the second largest side. () 0 cm 9 cm 8. Find HCF of 4 : : 6 () 8 cm. cm 4 and. 4 () 80 km 60 km () 0 km 40 km 4. Puja, rchna and arti has ratio of their incomes of 4 : : 9 four years before. Presently their income get increased in :, 4 : and 7 : 0. Their present income 70,00. Find income of arti. 4 : : 9 :, 4 : 7 : 0 70,00 () 7,00 () 6,000 6,800 None of these. If in a triangle ratio of altitudes to the side : : 4. Find the ratio of sides of triangle. () : : () : : 4 6 : 4 : None of these : : 4 6. person can see upto 400 meter in the fog. When he walks with the speed of 4 km/hr in the train's direction, () () 0 9. solution of salt and water carries salt of %. When 0 kg of water evoporated, percentage of salt becomes 0%. Find initial quantity of solution. () 7 () The ratio of the first and second class fares between two stations 4 : and that of the number of passengers travelling by the first and second class : 40. If 44,000 collected as total fare, then the amount collected from the first class passengers 44,000 : 40 (),600 () 00 4, :

3 . What the value of.66.99? () 0.6 () The effective annual rate of interest corresponding normal rate 6% per annum payable half yearly 7. tank can be filled by one tap in 0 minutes and by another in minutes. oth the taps are kept open for minutes and then the second turned off. In how many minutes more than tank completely filled? () 6.06% () 6.07% 6.08% 6.09%. straight line parallel to the base C of the C intersects and C at the points D and E respectively. If area of E 7cm, then find area of CD. C C C D E E CD () 8 cm () 6 cm 8 cm None of these 4. n Isoscles triangle C right angled at. D a point inside the triangle C. P and Q are on the feet of perpendiculars drawn from D on the side and C respectively of C. If P = a cm, Q = b cm and D = º, then cos º =? C, D C P Q C 'D' P = a Q = b D = º sin 7º =? () b a a b () a b a b c. If a b c 0, then the value of ab a b c 0 a b a b c, () () In the certain examination, % candidates failed in Englh and 66% passed in Mathematics. If % failed in both the subjects and 784 candidates passed in both the subjects, then the total number of candidates was ab () 9 () 7 8. boy started from h house by bicycle at 0 a.m. at a speed of km per hour. H elder brother started after hr mins by scooter along the same path and caught him at.0 p.m. The speed of the scooter will be (in km/ hr) () 6 ( ) () cos sin 9. Simplify cos sin () sin cos tan cos cos sin cos sin () sin cos sin cos 0. man, women and 4 boys can do piece of work in 96 hours, men and 8 boys can do it in 80 hours, men and women can do it in 0 hours. men and oys can do it in? () 800 () () 9 hours () 7 4 hours 7 4 hours 48 hours

4 . toy in the form of a cone of radius. cm mounted on hemphere of same radius. If height of the cone cm. The total surface area of the toy ( = /7) = /7) ().4 cm () 4.0 cm 4. cm.6 cm.. pipe alone would take 4 days more to fill a ctern than if pipe '' and '' worked together. If worked alone it would take 6 days more to complete the work than and fill together. How many days would they take to complete the work if both of them worked together?. The price of an article was increased by r%. Later the new price was decreased by r%. If the latest price was, then the original price was () r% r 00 r% r () r 6. Sides of a parallelogram are in the ratio : 4. Its area 000 sq. units. ltitude on the greater side 0 units. ltitude on the smaller side : 4 () 0 days 6 days () days 8 days. Find the maximum area of square inscribed in a right angle triangle whose sides are 6, 8, 0. 6, 8, 0 () 0 units () units 0 units units 7. Marbles of diameter.4 cm are dropped into a cylindericl beaker containing some water and are fully submerged. The diameter of the beaker 7 cm. Find how many marbles have been dropped in it if the water res by.6 cm? () 4 49 () Two circles of unit radius touch each other and each of them touches internally a circle of radius two, as shown in the following figure. The radius of the circle which touches all the three circles () 0 () The areas of three adjacent faces of a cuboid are x, y, z square units respectively. If the volume of the cuboid be v cubic units, then the correct relation between v, x, y, z v x, y, z v, x, y, z O r r C C C () v = xyz () v = xyz v = x y z v = x y z 9. The base of a right circular cone has the same radius a as that of a sphere. oth the sphere and the cone have the same volume. Height of the cone () () None of these () a a () 4a 7 4 a 7 a 4

5 0. The radius of a sphere doubled. y what percent the surface area increased? P O O TP, TR TQ 'TQ : TR' () 600% () 700% 00% 00% T. Three containers with the capacity of 0 liter each contains milk and water in the contain are ratio :, :, : respectively. If quantity of all the containers poured into another container then what will be the ratio of milk and water in the new mixture? Q O R O P : () 00 : 8 () : 9 9 : 8 0 : :, :. The manufacturer of an article makes a profit of %, the wholesale dealer makes a profit of 0%, and the retailer makes a profit of 8%. Find the manufacturing price of the article if the retailer sold if for 48. () () Weight of two persons and are in the ratio of :. s weight increases by 0% and the total weight of and together becomes 80 kg, with an increase of %. y what per cent did the weight of increase? () 8% () % 8% 8% 4., and C are employed to do a piece of work for 7. and C are supposed to finh 9 of the work together. mount shall be paid to, C 7 () 0 () C 9. In the given figure, there are two circles with the centres O and O touching each other internally at P. Tangents TQ and TP are drawn to the larger circle and tangents TP and TR are drawn to the smaller circle. Find TQ : TR. () 8 : 7 () 7 : 8 : 4 : 6. CD a parallelogram. P, Q are the mid-points of sides C and CD respectively. If the area of C cm, then the area of PQ CD P, Q C CD C PQ () cm () 8 cm 9 cm 0 cm 7. In the given figure, ONY = 0º and OMY = º. Then the value of the MON MON, ONY = 0º OMY = º O º 0º M N () 0º () 70º 0º 40º 8. If cot tan = x and sec cos = y, then (x y) / (xy ) / =? cot tan = x sec cos = y, then (x y) / (xy ) / =? () 4 () None of these 9. The maximum value of sin 8 cos : sin 8 cos () 8 () 8 Y

6 40. Maximum value of (sin. cos ) : (sin. cos ) () 6 () 9 6 Direction : (4-4) give the answer on the bas of the pie-chart. : (4-4) 4. The no. of students coming to school by bus exceeds the no. of students coming to school walking, by () 0% ().% %.% 46. Two parallel chords are drawn in a circle of diameter 0 cm. The length of one chord 4 cm and the dtance between the two chords cm. The length of the other chord Car/ Walk/ 80º us/ 90º Train/ 0º () 0 cm () 8 cm cm 6 cm 47. The HCF (GCD) of a, b, a, b are positive integers and a > b >. The smallest value of (a, b) are respectively. a, b (GCD) a, b a > b > (a, b) The above pie-chart represents the number of students using different transport to a school in which total no. of students The no. of students who come to school by car () 70 () The ratio of the number of students who came to school by car to the number of students who came to school by bus () : 4 () : 7 6 : 7 6 : 4. The total no. of students coming to school either by walking or by bus () 480 () The no. of students who don't come to school by train (), 4 () 4, 4, 6 6, If a dining table with marked price 6,000 was sold to a customer for,00, then the rate of dcount allowed on the table () 0% () 8% 8 % 9% % of the students in a school passed in - Englh, 8% passed in Mathemathics and 0 sutdents passed in both the subjects. If no student failed in both the subjects, find the total number of students. () 0 () How much percent above the cost price should a shopkeeper mark h goods so as to earn a profit of % after allowing a dcount of % on the marked price? () 70 () () 0% () 40% 60% 4% 6

7 Directions (-) : Study the following graph carefully and answer the questions. Export of Pearls (In crores of ) ( ) : Years/. The average export of pearls for the given period (in crores ) was () 6 % () 0% % None of these 7. If a b c = 0, then find the value of a b c = 0, a b c c ab () 0 () / a b c c 8. If a cos b sin = c, then find the value of b cos a sin. a cos b sin = c, b cos a sin ab () 8.7 () In which year was there maximum percentage increase in export of pearls to that in the previous year? () 00 () In how many years was the export above average for the given period? () a b c () a b c a b c b c a 9. If x y = 80 and x y = 8, then the average of x and y x y = 80 x y = 8 x y () () The point of intersection of the altitudes of a triangle known as () () 4 4. In which of the following pairs of years was the average export of pearls around 9 crores? 9 () 00 and 00 () 00 and and and 006. What was the percentage increase in export from 006 to 007? () 6 % () 9% () Centroid/ () In-centre/ Orthocentre/ Circumcentre/ 6. ctern can be filled by two supply pipes in 0 mins and 0 mins respectively. ut a waste pipe can empty it in an hour. oth the supply pipes were opened together to fill the empty ctern, but by mtake the waste pipe was also open. How much later was the waste pipe closed, if the ctern filled in 4 mins? 0% % 6. person gains % on selling price. Find the profit 4 percentage on cost price? 4 () 6 mins 0 mins () 8 mins mins 7

8 6. In a C, the value of cos C cos () cos C () sin C equal to,000 6% 6% (),490 (),400,000,490 cot cosec 68. The value of If x =, y = 4, p = 8, q = 0, find the value of y xyp q. p y x =, y = 4, p = 8, q = 0, () 4 () 0 6 y xyp q. p y 64. and can complete a work individually in 0 days and days respectively. starts the work and after a few days, leaves the work. Then starts the work and the work completed by him in 9 days, then does not work for, () days days, () 7 days 9 days 6. If P Q R S = and (P Q)(R S) = 6, then the numerical value of P Q R S : P Q R S = (P Q)(R S) = 6, P Q R S () () If tan cot =, then tan cot equal to tan cot =, tan cot () 0 () 67. Mr. Prakash bought a bicycle for,000. fter six months, he sold it to Mr. Narayan at a loss of 6%. Mr. Narayan sold it to Mr. Mhra at a profit of 6%. The money paid by Mr. Mhra for the cycle () () 69. dealer allows 0% dcount on the lt price of a certain article and yet makes a profit of % on each article. Find the cost price of the article when lt price 0. 0 () 40 () If a b c d = 4, then the value of ( a) ( b) ( c) ( d)( a)( b) ( b) ( c)( d) a b c d = 4, ( a) ( b) ( c) ( d)( a)( b) ( d) ( c)( a) ( b) ( c)( d) ( d) ( c)( a) () () 0 7. shopkeeper cheats to the extent of 0% while buying as well as selling by using false weights. H total gain () 0 ()

9 7. shopkeeper earns a profit of % on selling a book at 0% dcount on the printed price. The ratio of the cost price and the printed price of the book () 7 : () 8 : 8 : 7 : 7. person spends equal amount of money in buying two kinds of guavas, one at for a rupee and the other at for a rupee. If he sells these guavas at for then he will bear () no loss no gain 4% loss () 4% gain % gain () 60% () 0% 40% 0% 78. and can complete a work individually in 0 days and days respectively. starts the work and after a few days, leaves the work. Then starts the work and the work completed by him in 9 days, then works for,, () days () 7 days days days 79. man fixes half of h savings at a compound interest of 8% and half at a simple interest of 0%. fter two years, h overall gain 74. The value of =? () () L.C.M., 4, 9 6 4,, 9 6 () () Find the value of () () I buy a computer at 0% off on the lted price. I want to make a profit of 0% after allowing a dcount of 0% on my marked price. How much above the lted price should I mark by price for th to be possible? () 8.6% () 9% 8% 8.% 80. pipe can fill a tank in 6 hrs. Due to a leak in the bottom, it filled in 4 hrs. If, the tank full, how much time will the leak take to empty it? () 48 hrs () hrs 0 hrs 40 hrs 8. Taps and can fill a tank in minutes and minutes respectively. Taps and are opened simultaneously. ut after minutes, tap closed. Then the tank will be filled in what time? () minutes () 9 minutes 8 minutes 0 minutes 8. If (x y ) : xy = :, then the positive value of x/y : (x y ) : xy = : x/y () 7/ () / / / 9

10 8. Train of length 80 m and speed 7 km/hour crosses train of length 0 m and speed 08 km/hour moving in the opposite direction in:, 7 () () () 0 seconds seconds () 4 seconds 6 seconds 84. The speed of a train going from Nagpur to llahabad 00 km/hr. While its speed 0 km/hr. when coming back from llahabad to Nagpur. Then the average speed during the whole journey : () 0 km/hr. 40 km/hr. cot 0º cot 7º 8. The value of : tan 60º tanº cot 0º cot 7º tan 60º tanº () 0 () () km/hr. km/hr. 86. The value of (x y z) (x z x) (z x y) (x y z) : (x y z) (x z x) (z x y) (x y z) () xyz () 4 xyz 6 xyz unique circle can always be drawn through x number of given non-collinear points, then x must be: () () While purchasing one item costing 400, one has to pay sales tax at 7% and one another costing the sales tax was 9%. The percent of sales tax one has to pay, taking these items together one an average : 400 7% x x % 89. man rows upstream km and downstream 6 km taking hours each time. The velocity of the current : (). km/hr. 7. km/hr. (). km/hr. km/hr. 90. The mean age of a group of persons 40. nother group has mean age 48. If the ratio of number of persons in two groups : ; then mean age of all the persons in two groups : : () 4 () The HCF and LCM of two numbers are 6 and 7 respectively. If one of the numbers 4, what the other? () 6 () If : = : C = C : D = :, then : D =? : = : C = C : D = :, : D =? () 8 : 7 () 4 : 7 : 4 : 9 9. can do a piece of work in 4 days which can do in days. They begin together but days before the completion of the work. leaves off. The total number of days to complete the work, () 6 days () 8 days 0 days days 0

11 94. cylinder has a diameter of 4 cm and the area of its curved surface 0 sq. cm. The volume of the cylinder 98. Ram alone can finh a piece of work in days. Ravi alone can finh the same work in 8 days. If Ram and Ravi work together they will finh the work in 0 () 60 cm () 670 cm 707 cm 770 cm 9. The value of k, for which the expression x 4x x k divible by x k k x () 6 () x 4x x 96. If x y y x = (x, y 0), then value of x y x y y x = (x, y 0), x y () () () 0 days () 4 days 4 4 days 0 days 99. The average price of three items of furniture 000. If their prices are in the ratio : : 7, the price of the cheapest item (in Rupees) : : () 000 () If the shadow of a tree of 60 m height 8 m, then the height of the tree whose shadow 0 m at the same time of the day =? () 4 () 6 8 () 6 m 8 m () 9 m 00 m