IMPORTANT MATHS QUESTIONS FOR ALL COMPETITION EXAMS

1)      Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively, what was the ratio of their investment ?

               i)5:7:8          

               ii)38:28:21          

               iii)20:49:64        

               iv) None of these

2)     If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive.

                i)Rs600

               ii)Rs700

              iii)Rs 800

              iv Rs 900

3)     The cost of 8 lemons euals to the selling price of  5 lemons then what will be the gain or loss percentage.

 i)  60%

  ii)  50 %

 iii)  40 %

  iv)65 %

4)     Rohit sells two pens ,one pen at 10 % profit and another at 10% loss , what will be his gain or loss percent in selling both pen if their cost price was Rs 20 and Rs 30 consicutively.

i)       15%

ii)    20%

iii)  10%

iv)  12%

5)  Sandeep sells two oxes at Rs 10000 each ,if he get 10 % profit in selling  one and 10%in selling other, then what will be his profit or loss percentage in selling both .

i) 10% 

ii)12%

iii)5%

iv)8%   

6)    Among a herd of the deers half of the deers went to drink water in the  river , half of the remaining went to play in a field,if  rest remaining  20  deers returned to the jungle  then how many deers originally were in  the herd.

       i) 70

       ii) 80

       iii) 90

       iv)65

7)    A shopkeeper buys a number of books for Rs 80. If he had bought 4 more books for the same amount , each book would have cost Rs 1 less. How many books did he buy ?

        i) 20

        ii) 15

        iii) 16

        iv) 17

8)    If  the price of a book is reduced by Rs 5,a person can buy 5 more books for Rs 300. Find the original list price of the book.

        i) Rs 25

        ii) Rs 30

        iii) Rs 20

        iv) Rs 18

9)    A dealer sells a toy for Rs 20 and gains as much percent as the cost price of the toy.Find the cost price of the toy .

        i) Rs 25

        ii) Rs 30

        iii) Rs 35

        iv) Rs 20

10) One fourth of a herd of camels was seen in the forest . Twice the square roots of the herd had gone to mountains and the remaing 15 camels were seen on the bank of a river .Find the total number of camels.

        i)40

        ii) 50

        iii) 36

        iv) 26

11) A train travels 360 km at a uniform speed .If the speed had been 5 km/hr  more ,it would have taken 1 hour less for the same journey.Find the speed of the train.

        i) 30 km/h

        ii) 20 km/h

        iii) 40 km/h

        iv) 25 km/h

12)  The sum of two numbers is 16.The sum of their reciprocals is 1/3.Find the  numbers .

        i)6,13

        ii) 4,12

        iii)3,8

        iv) 2,7

13) If 5 times the fifth term of an A.P is equal to 8 times its eighth term, then what will be its 13 th term ?

        i)10

        ii)12

        iii) 15

        iv)0

14) How many two digit numbers are divisible by 3 ?

        i) 20

        ii) 30

        iii) 40

        iv) 25

15) How many multiples of 4 lies between 10 and 250 ?

        i)70

        ii)60

        iii)40

        iv) 55

16) Two circles touch internally .The sum of their areas is 116 π sq.cm and distance between their centres is 6 cm.Find the radii of the circles.

        i) 15 cm, 11 cm

        ii) 10 cm, 5 cm

        iii) 12 cm, 10 cm

        iv) 10 cm, 4 cm

17) A wire is looped in the form of a circle of radius 28 cm. It is re-bent into a square form .Determine the length of the square.

        i) 34 cm

        ii) 43 cm

        iii)44 cm

        iv)50 cm

18) The side of a square is 10 sq.cm.Find the area of circumscribed circle .

        i) 135 sq.cm

        ii) 125 sq.cm

        iii) 157 sq.cm

        iv) 137 sq.cm

19)  What is the are of an equilateral triangle of side 16 cm?

          i)48 sq.cm

        ii)128 sq.cm

        iii)9.6 sq.cm

        iv)64 sq.cm

        20)  If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?

        i)120 sq,cm

        ii) 130 sq.cm

        iii) 312 sq.cm

        iv)315 sq.cm

21)      The perimeter of a triangle is 28 cm and the inradius of the triangle is  2.5 cm.What is the area of the triangle?

i)25 sq.cm

ii)42 sq.cm

iii)49 sq.cm

iv)70 sq.cm

22)  Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.

         i) 225 sq.cm

         ii) 275 sq.cm

         iii) 285 sq.cm

         iv) 315 sq.cm                                                                                                                                 

23)   The  sum of three consecutive integers is 102. Find the lowest of the three?

      i)40

      ii)33

      iii)53

      iv)29

24)    The sum of the two digits of a number is 10. If the number is subtracted  from the number  obtained by reversing its digits, the result is 54. Find the number?

          i) 34

          ii)28

          iii)12

          iv)17

25)    The sum of the present ages of two persons A and B is 60. If the age of A  is twice that of  B, find the sum of their ages 5 years hence?

            i) 50

          ii) 60

          iii) 70

          iv) 80

26)      The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is;

            i)200 m

            ii) 225 m

            iii) 245 m

            iv)250 m

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