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Test: Equations- 4 - CA Foundation MCQ


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30 Questions MCQ Test - Test: Equations- 4

Test: Equations- 4 for CA Foundation 2024 is part of CA Foundation preparation. The Test: Equations- 4 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Equations- 4 MCQs are made for CA Foundation 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Equations- 4 below.
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Test: Equations- 4 - Question 1

A number consists of two digits. The digits in the ten’s place is 3 times the digit in the unit’s place. If 54 is subtracted from the number the digits are reversed. The number is

Test: Equations- 4 - Question 2

The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number is 

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Test: Equations- 4 - Question 3

Three persons Mr. Roy, Mr. Paul and Mr. Singh together have R.s 51. Mr. Paul has Rs. 4 less than Mr. Roy and Mr. Singh has got Rs. 5 less than Mr. Roy. They have the money as. 

Test: Equations- 4 - Question 4

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 

Test: Equations- 4 - Question 5

 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. 

Test: Equations- 4 - Question 6

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

Test: Equations- 4 - Question 7

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

Test: Equations- 4 - Question 8

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

Test: Equations- 4 - Question 9

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

Test: Equations- 4 - Question 10

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.

Test: Equations- 4 - Question 11

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

Test: Equations- 4 - Question 12

 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.

Test: Equations- 4 - Question 13

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: 

Detailed Solution for Test: Equations- 4 - Question 13

Let greater number is 'x'
Smaller number be 'y
Given,greater number exceeds twice the smaller i.e 2x-2y=18...........1
1/3 of smaller and 1/5 of greater i.e 1/3×y+1/5×x=21 this is convert as 3x+5y=315......2
By solving 1 and 2 we get x=45 and y=36

Test: Equations- 4 - Question 14

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

Test: Equations- 4 - Question 15

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.

Test: Equations- 4 - Question 16

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

Test: Equations- 4 - Question 17

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

Test: Equations- 4 - Question 18

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. 

Test: Equations- 4 - Question 19

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

Detailed Solution for Test: Equations- 4 - Question 19

Y is older than X by 7 years:
Y=X+7
Y-X=7( this is equation 1)

15 years back X's age was 3/4th of Y's age:
(3/4)*(Y-15)=X-15
3(Y-15)=4(X-15)
3Y-45=4X-60
3Y-4X=-60+45
3Y-4X=-15 ( this is equation 2)

Solve both equations by simultaneous linear equation
Method:

Y-X=7( multiply by 3)
3Y-4X=-15

3Y-3X=21
3Y-4X=-15

X=36
Put X value in equation 1
 And we will get Y=43

Therefore (36,43) is the answer.

Test: Equations- 4 - Question 20

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

Test: Equations- 4 - Question 21

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

Test: Equations- 4 - Question 22

 If 22x+3-32. 2x+1=0 then values of x are 

Test: Equations- 4 - Question 23

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

Test: Equations- 4 - Question 24

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

Test: Equations- 4 - Question 25

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

Test: Equations- 4 - Question 26

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

Test: Equations- 4 - Question 27

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

Test: Equations- 4 - Question 28

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

Test: Equations- 4 - Question 29

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

Test: Equations- 4 - Question 30

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

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