5/27/2018 Scholarhsip Maths Tricky Questions

1/15

1

(www.mahaedutechnet.org)

STD 7 Scholarship Exam Maths (2003) (7 solved)

(1/5)x 2 = (3/10)x 3

(Bring x terms and non-x terms on same sides, signs will be changed while changing sides)

(1/5)x (3/10)x = 3 + 2

(Make denominators common to solve x-terms)

(2/10)x (3/10)x = -1

-(1/10)x = -1

x = -1 * (-10) = 10

|x| > 0 (as modulus value is always positive)

So x > 0

So x is a positive value, hence x is negative, hence x < 0

Let us assume cost price of an article = Re1

So Total cost price = Rs 50

His profit = cost price of 6 articles = Rs. 6

So % profit = 12%

5/27/2018 Scholarhsip Maths Tricky Questions

2/15

2

(www.mahaedutechnet.org)

57.03/0.0001901 = (5703 * 10^-2)/(1901*10^-7) = 3*10^5(Measure number of digits after the decimal point in numerator and denominator)

By Pythagoras theorem,

l(AP) = SqRoot(l(AD)^2 - l(DP)^2) = SqRoot(100 36) = SqRoot(64) = 8 cm

A(Qadr ABCD) = A(Tri ADP) + A( Rect APQB) + A(Tri BQC)

= (1/2) * 6 * 8 + 14* 8 + (1/2) * 10 * 8

= 24 + 112 + 40

= 176 Sq Cm

19.9^2 = (199/10)^2 = 39601/100 = 396.01

Interest rate = 16 pcpa = 16/12 pcpm (per month)

On Rs 100, you will get Rs 16/12 each month

For the amount to be double, one should get interest of Rs 100.

5/27/2018 Scholarhsip Maths Tricky Questions

3/15

3

(www.mahaedutechnet.org)

This will happen in 100/(16/12) = 1200/16 = 75 months = 6 years, 3 months

Each unit between 0 and -1/3 is equally divided into 5 parts.

So each small dot represents (0 ( 1/3) / 5 = 1/15

So Coordinate of K = -4/3 1/15 = -21/15 = -1(6/15) = -1(2/5) = -1.4

=[ (5^(0+5))/(3^(-7+0))]^(3/5)^(10/3)

= ((5^5)/(3^-7))^((3/5)*(10/3))

=( (5^5*3^7))^2

= 5^10 * 3^14

Fat in 120 L milk = 120 * 0.1 = 12 units

Fat in 200 L milk = 200 * 0.08 = 16 units

Total fat = 12 + 16 = 28 units

5/27/2018 Scholarhsip Maths Tricky Questions

4/15

4

(www.mahaedutechnet.org)

Total Milk = 120 + 200 = 320 L

% fat = (28/320)*100 = 8.75%

Assume first number is x

so other number is (4/3) x

Product of two numbers =their LCM * their GCD

x * (4/3)x = 6 * 72

So x^2 = 6 * 72 * (3/4) = 18 * 18

x = 18 so other number = (4/3)*18 = 24

Bus travels 126 Km in 4 H, 5 M i.e. in 4 *60 + 5 = 245 minutes.

So in 1 min bus travels 126/245 km

in 35 min it will travel 35*(126/245) = 18 Km

5/27/2018 Scholarhsip Maths Tricky Questions

5/15

5

(www.mahaedutechnet.org)

5/27/2018 Scholarhsip Maths Tricky Questions

6/15

6

(www.mahaedutechnet.org)

5/27/2018 Scholarhsip Maths Tricky Questions

7/15

7

(www.mahaedutechnet.org)

5/27/2018 Scholarhsip Maths Tricky Questions

8/15

8

(www.mahaedutechnet.org)

5/27/2018 Scholarhsip Maths Tricky Questions

9/15

9

(www.mahaedutechnet.org)

STD 7 Scholarship Exam Maths (2005)

5/27/2018 Scholarhsip Maths Tricky Questions

10/15

10

(www.mahaedutechnet.org)

5/27/2018 Scholarhsip Maths Tricky Questions

11/15

11

(www.mahaedutechnet.org)

5/27/2018 Scholarhsip Maths Tricky Questions

12/15

12

(www.mahaedutechnet.org)

5/27/2018 Scholarhsip Maths Tricky Questions

13/15

13

(www.mahaedutechnet.org)

5/27/2018 Scholarhsip Maths Tricky Questions

14/15

14

(www.mahaedutechnet.org)

5/27/2018 Scholarhsip Maths Tricky Questions

15/15

15

(www.mahaedutechnet.org)