Test: Equations- 4 - CA Foundation MCQ

One student is asked to divide a half of a number by 6 and other half by 4 and then to add the two quantities. Instead of doing so the student divides the given number by 5. If the answer is 4 short of the correct answer then the number was 

 Monthly incomes of two persons are in the ratio 4:5 and their monthly expenses are in the ratio 7:9. If each saves Rs. 50 per month find their monthly incomes. 

The simultaneous equations 7x-3y=31, 9x-5y=41 have solutions given by 

2x+3y+4z=0, x+2y-5z=0, 10x+16y-6z=0

1.5x+3.6y=2.1, 2.5(x+1)=6y

3x-4y+70z=0, 2x+3y-10z=0, x+2y+3z=13

Find the fraction which is equal to 1/2 when both its numerator and denominator are increased by 2. It is equal to 3/4 when both are increased by 12.

 If ?? be the roots of the equation 2x²-4x-3=0 the value of ?²+?² is 

 The wages of 8 men and 6 boys amount of Rs. 33. If 4 men earn Rs. 4.50 more then 5 boys determine the wages of each man and boy.

Two numbers are such that twice the greater number exceeds twice the smaller one by 18 and 1/3 of the smaller and 1/5 of the greater number are together 21. The numbers are: 

 If the roots of the equation 2x²+8x-m³=0 are equal then value of m is 

A number between 10 and 100 is five times the sum of its digits. If 9 be added to it the digits are reversed find the number.

 Of two numbers, 1/5^th of the greater is equal to 1/3^rd of the smaller and their sum is 16. The numbers are: 

The sum of the digits in a three digit number is 12. If the digits are reversed the number is increased by 495 but reversing only of the ten

The age of a person is twice the sum of the ages of his two sons and five years ago his age was thrice the sum of their ages. Find his present ages. 

Y is older than x by 7 years 15 years back x's age was 3/4 of y's age. There present age are

A number consisting of two digits is four times the sum of its digits and if 27 be added to it the digits are reversed. The number is

The roots of the equation x²+(2p-1)x+p²=0 are real if. 

 If 2^2x+3-3². 2^x+1=0 then values of x are 

If x=m is one of the solutions of the equation 2x²+5x-m=0 the possible values of m are

The values of x for the equation x²+9x+18=6-4x are 

 If the root of the equation x²-8x+m=0 exceeds the other by 4 then the value of m is

A solution of the quadratic equation (a+b-2c)x² + (2a-b-c)x + (c+a-2b)=0 is

 If one rot of 5x²+13x+p=0 be reciprocal of the other then the value of p is

If L+M+N=0 and LMN are rationales the roots of the equation (M+N-L)x²+(N+L-M)x+(L+M-N)=0 are

The values of x in the equation 7(x+2p)²+5p²=35xp+117p² are 

 If p and q are the roots of x²+2x+1=0 then the values of p³+q³ becomes