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Test: Equations- 4 - CA Foundation MCQ


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30 Questions MCQ Test Quantitative Aptitude for CA Foundation - Test: Equations- 4

Test: Equations- 4 for CA Foundation 2024 is part of Quantitative Aptitude for 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.
Solutions of Test: Equations- 4 questions in English are available as part of our Quantitative Aptitude for CA Foundation for CA Foundation & Test: Equations- 4 solutions in Hindi for Quantitative Aptitude for CA Foundation course. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free. Attempt Test: Equations- 4 | 40 questions in 40 minutes | Mock test for CA Foundation preparation | Free important questions MCQ to study Quantitative Aptitude for CA Foundation for CA Foundation Exam | Download free PDF with solutions
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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