Math practice question for ssc cgl 2017 - Paper 43 of kiran prakashan solution in hindi

For all answers got to video at below .It consist of detail solution

1) For any integral value of n,  when divided by 3 will have the remainder?  

2) Three men A, B and C working together can do a job in 6hrs less time than A alone, in 1hrs less time than B alone and in one half the time needed by C when working alone. Then A and B can do the job in

3) A swimming pool is fitted with three pipes. The first two pipes working simultaneously, fill the pool in the same time as the third pipe alone. The second pipe alone fills the pool 5 hours faster than the first pipe and 4 hours slower than the third pipe. In what time will the second and third pipes together fill the pool?

4) Arrange the following in descending order,

 , , ,

5) The base of a right prism is a quadrilateral ABCD. Given that AB = 9 cm, BC = 14 cm, CD = 13 cm, DA = 12 cm and angle DAB = 90 . If the volume of the prism be 2070 , then the area the lateral surface is?

6) The volume of a right circular cylinder and a sphere are equal. The radius of the cylinder and the diameter of the sphere are equal. The ratio of height and radius of the cylinder is

7) A wire of length 44cm is first bent to form a circle and then rebent to form a square. The difference of the two enclosed areas is

8) A shopkeeper listed the price of goods at 30% above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of 15% and the remaining at 30% discount .His overall profit is

9) A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job

10) A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discount price. If the customer pays Rs 3,402 as the price including the sales tax, then marked price is

11) The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C containing half milk and half water?

12) Two numbers A and B are such that the sum of 5% of A and 4% of B is 2/3^rd of the sum of 6% of A and 8% of B. The ratio A: B is

13) The average marks obtained by 40 students of a class is 86. If the 5 highest marks are removed, the average reduces by one mark. The average of top 5 students is

14) A students finds the average of 10, 2 digit numbers. If the digits of one of the numbers is interchanged, the average increased by 3.6. The difference between the digits of two number will be

15) A trader buys goods at 20% discount on marked price. If he wants to make a profit of 25% after allowing a discount of 20%, by what percent should his marked price be greater than the original marked price?

16) A man spends 75% of his income. His income increased by 20% and his expenditure also increase by 10%. The percentage increase in his savings is

17) A car travels from P to Q at a constant speed. If its speed were increased by 10km/h, it would have been taken one hour lesser to cover the distance. It would have taken further increased by 45 minutes if the speed was further increased by 10 km/h. The distance between two cities is

18) A train leaves A station at 7 am and reaches another station B at 11 am. Another train leaves B at 8 am and reaches A at 11.30 am. The two trains cross one another at

19) A man gave 50% of his savings of Rs 84,100 to his wife and divided the remaining the sum among his two sons A and B if 15 and 13 years of age respectively. He divided it in such a way that each of his sons, when they attain of age 18years, would receive the same amount at 5% compound interest per annum. The share of B is

20) A fruit seller buys some oranges and by selling 40% of them he reliases the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the prices and sells 80% of the remaining oranges at half the previous rate of proof it. The rest of the oranges being rotten are thrown away. The overall percentage of profit is?

21)  Where a, b, c are non-zero, then  is

22) If x is a rational number and  = 2, then the sum of numerator and denominator of x is

23) The area in sq. unit of the triangle formed by the graphs of x=4, y=3, 3x+4y=12 is

24) The equations

      3x + 4y = 10

      -x + 2y = 0

Have the solution (a,b) . The value of a + b is

25) If x =  + 2, then the value   is equal to

26) If a = 2.234 b = 3.121 c = -5.355 then the value of

27) If   , then the value of

28) If   , then the relation between a, b and c is

29) If, then the value of k is

30) The angle of elevation of the top of a vertical tower situated perpendicularly on a plane observed as 60  from a point P on the same plane. From another point Q, 10m vertically above the point P, the angle of depression of the foot of the tower is 30 .The height of the tower is

31) Is sin21 , then sec 21 is equal to

32) If sec  + tan  = 2, then the value of sin

33) 3 sin  + 5 cos  = 5, then the value of 5 sin  – cos

34) If  is an acute angle and tan  + cot  = 2, then the value of  is

35) ABCD is a parallelogram in which diagonals AC and BD intersect at o . If E, F, G and H are the mid points of AO, DO, CO and BO respectively, then ratio of the perimeter of the quadrilateral EFGH to the perimeter of the quadrilateral ABCD is

36) The simple value of tan1tan2tan3………tan89 is

37) The length of a tangent from an external point to a circle is 5 unit. If the radius of the circle is 5 units, then the distance of the point from the circle is

38) In triangle ABC, angle C is an obtuse angle. The bisectors of the exterior angles at A and B meet BC and AC produced at D and E respectively. If AB = AD = BE, then angle ACB =

39) ABC is an equilateral triangle and O is the circumcenter, then angle AOC is

40) ABCD is a cyclic quadrilateral. The side AB is extended to E in such a way that BE = BC, If angle ADC = 70, angle BAD = 95, then angle DCE

41) If the sum of interior angles of a regular polygon is equal to two times the sum of exterior angles of that polygon, then the numbers of sides of that polygon

42) In  , S and T are the points on sides PR and PQ respectively such that angle PQR = angle PST. If PT = 5 cm, PS = 3 cm and TQ = 3 cm, then length of SR is

43) Two circles of radii 7 cm and 2 cm their centres being 13 cm apart. Then the length of direct common tangent to the circles between the points of contact is

44 - 50 are done in videos .Please watch