Thursday, 29 March 2018

RAKESH MATHS Fraction Questions for SSC CGL and other Competitive Exams 2018, RR ACADEMY MEERUT

1. 20.05 + 35.603- …… =43.087
a. 10.263
b. 12.566
c. 15.426
d. 13.286

2. Which of the following fraction is smallest?
a. 23
28
b.  14
     15
c.    15
 19
d.   21
      24

3. 0.585858 is equivalent to the fraction….
a. 58
   100   
b.  58
    99
c. 85
   100
d. 85
    99

4. The value of  is
a. 47
   198
b. 4/198
c. 48
   98
d. 58
    36

5. 0.9*0.007=  ­­­­­­­­­­_________
a. 0.063
b. 0.0063
c.0.63
d. 0.00063

6. 0.0015÷ ? = 0.003
a. 0.05
b. 0.005
c. 0.5
d. 5

7. 0.363*0.522+0.363*0.478 = ?
a.0.522
b. 0.845
c. 0.363
d. 0.985

8. If 7125¸1.25= 5700< the value of 712.5÷12.5 is:
a. 5.7
b. 57
c. 570
d. .57

9. The value of 34.31*0.473*1.567 is close to
                      0.0673*23.25*7.57
a. 2.0
b. 1.15
c. 2.05
d. 2.15

10. Evaluate (5.68)– (4.32)2
                     5.68- 4.32
a. 8
b. 9
c. 10
d. 12

11. Evaluate 4.3*4.3*4.3+1
                   4.3*4.3-4.3+1            
a. 14.3
b. 52.3
c. 5.3
d. 42.3

12. If 5= 2.24, then the value of     55       is
                                                  45-.96  
a. 14
b. 15.2
c. 13.4
d. 14.5

13. If 5.51*10k = 0.0551, then the value of k is:
a. –4
b. –3
c. –2
d. –1               

14. 25.25 is equal to:
      2000
a. 1.012526
b. 0.012625
c. 0.12526
d. 0.12625

15. The value of (2.502+0.064)2 - (2.502-0.064)2
                                      2.502*0.064
a. .25
b. .235
c. 4
d. 3
       
16. The value of 4.5*1.8+4.5*8.2
                       1.5*4.5+1.5*5.5    
a. 10
b. 8
c. 5
d. 3

17. The value of (.02)2 + (0.52)2 + (0.035)2
                          (0.002)2 + (0.052)2 + (0.0035)2
a. 100
b. 1000
c. .001
d. .0001

18. Out of 200 donors, ¼  are men and remaining are women. Each male donor donates Rs.3000 per year and each female donor donates ½ of that amount. What is the total yearly collection through donations?
a. Rs.1, 50,000
b. Rs.3, 75,000
c. Rs.1, 40,300
d. Rs.2, 25,000

19. One-fifth of Ramu’s expenditure is equal to one-half of his savings. If his monthly income is Rs.6300 how much amount does he save?
a. Rs.1550
b. Rs.1800
c. Rs.2000
d. Rs.2350

20. The width of a rectangular hall is ½ of its length. If the area of the hall is 450 sq.m, what is the difference between its length and breadth?
a. 8m
b. 10m
c. 12m
d. 15m

Answer & Explanations

1. Exp: 20.05 + 35.603- 43.087 = 55.653- 43.087= 12.566
2. Exp: 23 =0.821
          28
    14 = 0.933
    15
    15 = 0.7894
    19
   21  = 0.875
   24
   So, 15 = 0.7894 is smallest.
        19
3. Exp: 0.585858=  = 58
                                      99
4. Exp: = 3+ = 3+236-1 = 3 47/198
                                            990
5. Exp: 9*7=63
   Sum of decimal places= 4
   So, 0.9*0.007=  0.0063
6. Exp: Let 0.0015 = 0.003
                   X
    X= 0.0015 = 0.5
           0.003
7. Exp: Given Expression= 0.363*(0.522+0.478)= 0.363*1= 0.363
8. Exp: Given 7125  = 5700
                    1.25
    712.5 =71.25 7125*1  = 5700 = 57
    12.5       1.25     1.25*100   100
9. Exp: 34.31*0.473*1.567 25.4303 = 2.15
            0.0673*23.25*7.57      11.845
10. Exp. Given Expression = a2-b(a+b) (a-b) = (a+b)
                                        a-b           a-b 
      (5.68)– (4.32)2 =   (5.68+ 4.32) = 10
             5.68- 4.32
11. Exp: Given Expression = a3+b3      =(a+b)              
                                      a2-ab+b2

                                           = (4.3+1)= 5.3
12. Exp: 55       = 5*2.24          = 11.2       =11.2 = 14
            45-.96     4*2.24-.96      8.96-.96        8
13. Exp: 10k = 0.0551 = 5.51  = 5.51* 102 = 1 = 10-2
                        5.51       551      551* 102    102
14. Exp: 25.25 2525 = 0.012625
              2000    200000
15. Exp: (2.502+0.064)2 - (2.502-0.064)2  = (a+b)2 - (a-b)2  = 4ab  = 4
                        2.502*0.064                              ab              ab
16. Exp: 4.5*1.8+4.5*8.2 4.5 (1.8+8.2) = 4.5*10 = 45 =3
              1.5*4.5+1.5*5.5     1.5 (4.5+5.5)  1.5*10  15
17. Exp: (.02)2 + (0.52)2 + (0.035)2  =          a2+b2+c2
       (0.002)2 + (0.052)2 + (0.0035)2     ( /102+ ( b/102 + ( c/102  ,
                                                            
      where a= .02, b= .52, c= .035
                                                    = 100(a2+b2+c2) = 100
                                                           a2+b2+c2
18. Exp: Number of men donors= 200*1/4 =50
     Number of women donors=200-50=150
     1 man donor donates = Rs.3000
     Therefore,  50 men donor donates = 3000* 50= Rs.1,50,000
     1 woman donor donates= 3000*1/2 = Rs.1500
     Therefore, 150 women donor donates = 1500* 150= Rs.2,25,000
     Hence total amount collected = 1,50,000+ 2,25,000
                                                   = Rs.3,75,000
19.  Let the saving be Rs. x
      Therefore, Expenditure = Rs. (6300-x)
      then, (6300-x)* 1 = x* 1
                            5         2
     => 1260- x
                   5    2
    => 1260= x
                            2      5  
    => 7x = 1260
         10
     x= 1800
20. Exp: Let the length of the hall be x m
     Breadth of the hall = 1x  m
                                   2
     Area of the hall = Length * Breadth
                  450  = x * 1x
                                   2
                    x²   = 900
                      x  =30
     Difference between the length and breadth of the hall = x - 1x  = x/2
                                                                                        2
      30 = 15m
       2

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