Quantitative Aptitude Part-1 [For Railway-SSC-Bank]

QUANTITATIVE APTITUDE#1

1.The selling price of 48 pens is equal to the cost price of 72 pens. Find the profit percentage.
a)60%
b)45%
c)40%
d)33.33%
e)50%


2.A 480 metre long train crosses a pole in 32 seconds. What is the length of the bridge if the train crosses the bridge in 47 seconds?
a)225m
b)220m
c)250m
d)235m
e)380m

3.Three-fourths of a tank is filled with water. If 6 litres are added to it four-fifths of the tank becomes full. What is the capacity of the tank?
a)95 litres
b)120 litres
c)140 litres
d)135 litres
e)90 litres

4.The passing marks in an examination is 45%. If a student gets 98 marks and is declared failed by 10 marks, then the maximum marks in the examination is?
a)240
b)400
c)500
d)150
e)175

5.If 10 persons can complete 3/5 of a work in 12 days, then find the number of persons required to complete the remaining work in 10 days?
a)14
b)22
c)8
d)6
e)18

6.The compound interest on a certain sum for two successive years are Rs.225 and Rs.238.50. The rate of interest per annum is?
a)6%
b)4%
c)7%
d)5%
e)9%

7.A fruit seller sold big, medium and small sized apples for Rs.15, Rs.10 and Rs.5 respectively. The total number of apples sold were in the ratio 3:2:5. Find the average cost of an apple.
a)5
b)9
c)11
d)4
e)6

8.The parallel sides of a trapezium are in a ratio 2:3 and their shortest distance is 12cm. If the area of the trapezium is 480sq.cm, then the longer of the parallel sides is of length:
a)52cm
b)30cm
c)28cm
d)67cm
e)48cm

9.A gear 12cm in diameter is turning a gear 18cm in diameter. When the smaller gear has 42 revolutions, how many has the larger one made?
a)22
b)18
c)28
d)16
e)12

10.The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of two numbers is 4. The smaller number is:
a)8
b)4
c)16
d)14
e)9

Answer key

1.e)
2.a)
3.b)
4.a)
5.c)
6.a)
7.b)
8.e)
9.c)
10.a)

Solution

1.Required % of profit = [(72   ̶  48)/48]×100 = 50%

2.Length of the train = 480m
    Time = 32 seconds
     so, Speed of train = 480/32 = 15m/s
    Now, (L+Bridge)/15 = 47
       or, Length of the Bridge = 705  ̶  480 = 225m

3.Let the capacity of the tank be x litres.
    (3x/4)+6 = (4x/5)
    or, (4x/5)  ̶  (3x/4) = 6
    or, (16x  ̶  15x)/20 = 6
    or, x = 6 × 20 = 120 litres

4.Total marks neded to pass the exam = 98+10 = 108
   Pass marks = 45%
   Maximum marks of the examination = (108×100)/45 = 240

5.We have, M1 = 10, W1 = 3/5, D1 = 12
                   M2 =?,    W2 = 2/5, D2 = 10
         M1D1W2 = M2D2W1
    or, 10 × 12 × 2/5 = M2 × 10 × 3/5
    or, M2 = 48/6 = 8

6.Difference = 238.50  ̶  225
                     = Rs. 13.50
                     = S.I. on Rs. 225 for 1 year
     so, Rate = ( S.I. × 100)/( Principal × Time)
                   = (13.50 × 100)/(225 × 1)
                   = 6% per annum

7.Ratio of values = (15×3):(10×2):(5×5)
                            = 45:20:25
   so, required average cost = (45+20+25)/10
                                            = 90/10
                                            = Rs.9

8.Let, the Sides of the trapezium = 2x and 3x cm
     so, 1/2(2x+3x)×12 = 480
        or, 5x = 480/6 = 80
        or, x = 80/5 = 16
     Larger side = 3x = 3×16 = 48cm

9.Number of revolutions = (12×42)/18 = 28

10.Let the numbers be xH and yH, where H is the HCF and yH>xH
     now, LCM = xyH
     so, xyH = 2yH
          or, x = 2
     Again, xH  ̶  H = 4
            or, 2H  ̶  H = 4
            or, H = 4
      So, the smaller number is = xH = 8