Quantitative Aptitude Part-2 [For Railway-SSC-Bank]

QUANTITATIVE APTITUDE#2

1.A plot of 640 sq.ft is available at the rate of Rs 4600 per sq.ft. If 30% of the total cost of the plot is to be paid for booking the plot, how much is the booking amount?
a)Rs.8,83,200
b)Rs.8,38,100
c)Rs.9,38,100
d)Rs.9,83,200


2.The owner of a computer shop charges his customer 13% more than the cost price. If a customer paid Rs.15,933 for a computer, then what was the cost price of the computer?
a)Rs.12,700
b)Rs.18,200
c)Rs.14,100
d)Rs.16,500

3.A man sells two houses at the rate of Rs.1.995 lakh each. On one he gains 5% and on the other he loses 5%. His gain or loss percent in the whole transaction is?
a)2.5% loss
b)2.5% gain
c)0.25% gain
d)0.25% loss

4.In a University election, a candidate got 35% of the total polled votes and was defeated by his rival by 270 votes. If there were only two candidates in that election, then the total number of votes polled was?
a)9000
b)11000
c)8500
d)13000

5.60kg of an alloy X is mixed with 100kg of alloy Y. If alloy X has lead and tin in the ratio of 3:2 and alloy Y has tin and copper in the ratio of 1:4. Then the amount of tin in the new alloy is?
a)44kg
b)34kg
c)54kg
d)64kg

6.Somnath and Subhasish enter into a partnership. Somnath contributes Rs.16,000 and Subhasish Rs.12,000. At the end of 6 months Abhishek joins them with a capital of Rs.20,000. In what ratio should they divide their annual profit?
a)1:6:2
b)4:9:3
c)8:6:5
d)3:6:9

7.(139.799% of 6325.89 - ?% of 2299) = 7781.299
a)48
b)62
c)20
d)76

8.A journalist travelled 1200km by air, which formed 2/5 of his trip. He travelled 1/3 of the whole trip by car and rest by train. The distance travelled by train is?
a)500km
b)650km
c)800km
d)1100km

9.The average age of a man and his son is 18 years. The ratio of their ages is 5:1 respectively. What will be the ratio of their ages after 6 years?
a)4:3
b)3:1
c)5:2
d)10:3

10.A bag contains coins of 25 paise and 10 paise in the ratio of 6:17. If the sum of the rupees in that bag is Rs.16, then the number of 10 paise coins is?
a)62
b)55
c)85
d)93

Answer key

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

Solution

1.Total cost of the plot
     = Rs. (640×4600) = Rs. 2944000 = Booking amount = 30% of 2944000
     = (2944000×30) ÷ 100 = Rs. 883200

2.Cost price of computer = Rs.( 100×15933) ÷ 113 = Rs. 14100

3.% loss or gain= x + y + (xy ÷ 100)
   so, 5  ̶  5  ̶  [(5×5)÷100] = 0.25% loss

4. let the total number of the votes polled be x. then,
      65% of x  ̶  35% of x = 270
      or, x = (270×100) ÷ 30 = 9000

5. Alloy X, Lead : Tin = 3:2;   Tin = (2×60) ÷ 5 = 24kg
    Alloy Y, Tin : Copper = 1:4; Tin = (1×100) ÷ 5 = 20kg
    Total amount of tin in new alloy = 20 + 24 = 44kg

6.  Somnath     Subhasish     Abhishek
   (16000×12)  : (12000×12) : (20000×6) = 192: 144 : 120 = 8 : 6 : 5

7. ?% of 229 ≈ [(140×6326) ÷ 100]  ̶  7782= 1074.4

    or, ? × 23 = 1074.4
    or ? = 1074.4 ÷ 23 = 46.71 ≈ 48

8. Travelled by air = 1200km

    Trip = (1200×5/2) = 3000km

    Remaining trip = 3000  ̶  1200 = 1800km

    So, travelled by car = 3000/3 = 1000km

    So, travelled by train = 1800  ̶   1000 = 800km

9. Let the present age of the man =5x years, son = x years

    according to the question,

                              5x + x = 18×2
                              or, 6x = 36
                              or, x = 6

    So, man’s present age = 5×6= 30 years

     Son’s present age = 6 years

     Ratio after 6 years = 36 : 12 = 3 : 1

10. (25×6) + (10×17) = 320 paise

      total paise = 1600

      no of 10 paise coins = (1600×17) ÷ 320 = 85