Wednesday, 8 June 2016

SSC(CGL) Quant Mock Test10(20-25 min) 40 Qn


Solution


1.A car travels 25km/h faster than a bus for a journey  of 500 km. If the bus takes 10hr more than the car, then the speed of car and bus is.. 
a.25,40  b.50,25  c.25,60  d.NOT                      
2.find the value of √(30+√(30+√(30+(.............    
a. 5    b.3√10    c.6   d.7  
3. Three persons undertake to compete a piece of work for Rs. 1,200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get a.180 b.200    c.225     d.250
4. Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have been completed in 3 days. To complete the job alone ,A would require   a.5(1/5)days  b.6(1/4)days c.7(1/2)days    d.8(3/4)days
5.When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3.What is the largest possible value of A   a.8      b.2        c.1      d.4
6.The greatest 4 digit number exactly divisible by 10,15,20 is  
a.. 9990    b.9960     c.9980     d.9995
7.If the students of 9th class are arranged in rows of 6,8,12 or 16, no student is left behind. Then the possible number of students in the class is           
a.60      b.72    c.80    d.96
8.The unit digit in 3 x 38 x 537 x 1256 is            
a.4         b.2     c.6      d.8
9.Ram got twice as many marks in English as in Science. His total marks in English, Science and mathematics are 180. If the ratio of his marks in English and Maths is 2:3, what are his marks in Science?                    
a.30       b.60     c.72    d.90   e.NOT
10.Three numbers are in the ratio 2:3:4. If the sum of their squares is 1856, then the numbers are ?
a.8,12 and 16      b.16, 24 and 32    c.12, 18 and 24    d.None of the above
11.If x runs are scored by A, y runs by B and z runs by C, then x:y=y:Z=3:2. If total number of runs scored by A,B and C is 342, the runs scored by each would be respectively  
 a.144,96,64      b.162,108,72     c.180,120,80     d.189,126,84
12. Rs. 900 is divided among A,B,C; The division is such that 1/2 of A,s money = 1/3 rd of B's money = 1/4 th of C's money. Find the amount (in Rs.) received by A,B,C.
a.300,400,200     b.350,450,100     c.200,300,400     d.400,150,350
13.The average of first three numbers is double of the fourth number. If the average of all the four numbers is 12, find the 4th number     a.16     b.78/7     c.20      d.18/7
14.Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works 1 ( 1/2 )times as fast as Sunil. The three together can complete the work in
a.1(5/12) days     b.1(5/7) days     c.1(3/8) days      d.1( 5/19) days
15.Two successive discount of a% and b% on the marked price of an article are equivalent to the single discount of       
a.(a+b)%     b.(a+b - ab/100)%     c.(a+b)/100 %      d. (a+b)/2%
16.Gita buys a plot of land for Rs. 96,000. She sells 2/5 of it at a loss of 6%. She wants to make a profit of 10% on the whole transaction by selling the remaining land. The gain % on the remaining land is              
a.20         b.20(2/3)        c.14        d.7
17.An article is sold at a gain of 15%. Had it been sold for Rs. 27 more, the profit would have been 20% more. The cost price of the article is          
a.Rs. 500       b.Rs. 700     c.Rs. 540     d.Rs. 545
18. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price (in Rs.) of a ball is
 a.45          b.50            c.55                d.60
19. A number increased by 22 and 1/2% gives 98.The number is      
a.45      b.18      c.80      d.81
20.Two items A and B are sold at a profit of 10% and 15% respectively. If the amount of profit received is the same, then the cost of A , B may be    
a.1000,1500     b.5000, 2000    c.3000,2000    d.3000, 5000
21.If the average of 6 consecutive even numbers is 25, the difference between the largest and the smallest number is                                                
a.8     b.10    c.12    d.14
22. By selling 25 meters of cloth a trader gains the selling price of 5 meters of cloth. The gain % is               a.25     b.20     c.28    d.29
23. What sum will give Rs. 244 as the difference between simple interest and compound interest at 10% in 1 and 1/2 years compounded half yearly.   
a.40000     b.36000    c.32000     d.28000
24. A sum of Rs. 3200 invested at 10% p.a. compounded quarterly amounts to Rs. 3362. Compute the time period.                                                  
a.1/2 year           b.1 year            c.2 years           d.3/4 year
25.If sum of money compounded annually becomes 1.44 times of itself in 2 years, then the R% is         
 a.25% b.22% c.21% d.20%
26. A right circular cone is 3.6 cm high and radius of its base is 1.6 cm. Its melted and recast into right circular cone with radius of its base as 1.2 cm. Then the height of the cone (in cm) is                             
a.3.6 b.4.8 c.6.4 d.7.2
27. The area of a rectangle is thrice that of a square. The length of the rectangle is 20 cm and the breadth of the rectangle is 3/2 times that of the side of the square. The side of the square in cm is
a.10 b.20 c.30 d.60
28.How many plants will be there in a circular bed whose outer edge measure 30 cms, allowing 4 cm2. for each plant ?                                         
a.18    b.750      c.24      d.120
29. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is  a.1:4      b.4:1     c.1:2    d.2:1
30. If the area of a circle decreases by 36%, then the radius of a circle decreases by                 
a.20%      b.18%    c.36%    d.64%
31.A cylindrical bucket of height 36 cm and radius 21 cm is  filled with sand. The bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being  12 cm. The radius of the heap at the base is
a.63 cm  b.53 cm  c.56 cm  d.66 cm
32.The area of a square field is 576 km2. How long will it take for a horse to run around at the speed of 12 km/h ? 
a.12 h       b.10 h    c.8 h    d.6 h
33.A rectangular paper, when folded into two congruent parts had a perimeter of 34 cm for each part folded along one set of sides and the same is 38 cm when folded along the other set of sides. What is the area of the paper    
a.140 cm2  b.240 cm2  c.560 cm2  d.None of these
34.The water in a rectangular reservoir having a base 80 metres by 60 metres is 6.5 metres deep. In what time can the water be emptied by a pipe whose cross section is a square of  side 20 cm, if the water runs through the pipe at the rate of  15 km per hour 
a.52 hrs  b.26 hrs  c.65 hrs d. 42 hrs
35. Wheels of diameters 7 cm and 14 cm start rolling  simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them make the same number of  revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is:
a. 22 cm / sec b. 44 cm / sec  c. 66 cm / sec d.132 cm / sec
36.A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is         a.100 m  b. 200 m  c.100 (2)1/2 m d.10(2)1/2  m
37.AB and CD two chords of a circle such that AB = 6 cm CD = 12 cm. And AB|| CD . The distance between AB and CD is 3 cm. Find the radius of the circle.
a. 3(5)1/2 (b) 2(5)1/2 (c) 3(4)1/2 (d) 5(3)1/2
38.65% of students in a class like cartoon movies ,70% like horror movies and 75% like war movies. What is the smallest % of students liking all the 3 types of movies.
a.30%   b.20%   c.10%   d.5%
39.Shyam has 3 notebooks x,y and z. Of these , X has 120 pages, Y has 10% more and Z has 10% less .If he tore out 5%,10% and 15% of pages in X,Y and Z , then what % of total pages did he tear out.
a.8%  b. 15%  c.7%  d.not
40. A,B and C together earn Rs 1450 and spend 60%,65%and 70% of their salaries respectively. If their savings are in ratio 14:21:15, the salary of B is
a.500  b.600  c.450  d.750



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