129 + Mcqs in Linear Equation in Aptitude Page 1 McqOptions

1.	The present ages of two persons are 36 and 50 years respectively, if after n years the ratio of their ages will be 3:4, then the value of n is
A.	3
B.	4
C.	7
D.	6
Answer» E.

Discussion

2.	A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black sock is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was :
A.	2:1
B.	1:4
C.	1:2
D.	4:1
Answer» C. 1:2

Discussion

3.	Bus fare between Rajpur and Mirpur for one Adult is six times the fare of one child. If an adult's bus fare is 114/-, how much amount will be paid by 4 adults and 5 children together for travelling the same distance ?
A.	505/-
B.	551/-
C.	572/-
D.	560/-
E.	None of these
Answer» C. 572/-

Discussion

4.	11 friends went to a hotel and decided to pay the bill amount equally, But 10 of them could pay 60 each, as a result 11th has to pay 50 extra than his share . Find the amount paid by him?
A.	105
B.	110
C.	115
D.	120
Answer» D. 120

Discussion

5.	There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number ?
A.	32
B.	12
C.	14
D.	35
Answer» B. 12

Discussion

6.	In a group of equal number of cows and herdsmen, the number of legs was 28 less than four times the number of heads . The number of herdsmen was
A.	7
B.	28
C.	21
D.	14
Answer» E.

Discussion

7.	A number when subtracted by 1/7 of itself gives the same value as the sum of all the angles of a triangle. What is the number?
A.	224
B.	210
C.	140
D.	350
Answer» C. 140

Discussion

8.	A series of books was published at seven years interval. When the seventh book was issued, the sum of the publication year was 13,524. When was the first book published ?
A.	1932
B.	1942
C.	1911
D.	1917
Answer» D. 1917

Discussion

9.	The difference between a two- digit number and the number obtained by interchanging the position of its digits is 36.What is the difference between the two digits of that number ?
A.	3
B.	4
C.	9
D.	Cannot be determined
Answer» C. 9

Discussion

10.	If the digits of a two-digit number are interchanged , the number formed is greater than the the original number by 45. If the difference between the digits is 5, then what is the original number ?
A.	16
B.	27
C.	38
D.	can not be determined
Answer» E.

Discussion

11.	A number of two digits has 3 for its unit's place,and the sum of digits is 1/7 of the number itself, The number is
A.	43
B.	53
C.	63
D.	73
Answer» D. 73

Discussion

12.	The denominator of a fraction is 2 more than thrice its numerator. if the numerator as well as denominator is increased by one , the fraction becomes 1/3. What was the original fraction ?
A.	4/13
B.	3/11
C.	5/13
D.	5/11
Answer» C. 5/13

Discussion

13.	54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
A.	24
B.	34
C.	30
D.	32
Answer» C. 30

Discussion

14.	If [ 3 + x + 3 - x] / [ 3 + x - 3 - x] = 2, then x is equal to
A.	5/12
B.	12/5
C.	5/7
D.	7/5
Answer» C. 5/7

Discussion

15.	The graph of ax + by = c, dx + ey = f will be I. parallel, if the system has no solution. II. coincident, if the system has finite number of solutions. III. intersecting. if the system has only one solution. Which of the above statements are correct ?
A.	Only I and II
B.	Only II and II
C.	Only I and III
D.	I, II and III
Answer» D. I, II and III

Discussion

16.	If 2^a + 3^b = 17 and 2^{a + 2} - 3^{b +1} = 5, then
A.	a = 2, b = 3
B.	a = -2, b = 3
C.	a = 2, b = -3
D.	a = 3, b = 2
Answer» E.

Discussion

17.	If the number obtained on the interchanging the digits of two-digits number is 18 more than the original number and the sum of the digits is 8, then what is the original number ?
A.	50
B.	51
C.	35
D.	53
Answer» D. 53

Discussion

18.	In a two-digit number, the digit in the unit's place is three times the digit in tenth's place. The sum of the digits is equal to 8. What is the number ?
A.	20
B.	26
C.	39
D.	13
Answer» C. 39

Discussion

19.	In a two-digit number, the digit at the unit's place is 1 less than twice the digit at the ten's place. If the digits at unit's and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is
A.	47
B.	59
C.	23
D.	35
Answer» B. 59

Discussion

20.	A man has 480 in the denominations of 1 rupee notes , 5 rupee notes and 10 rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has
A.	45
B.	60
C.	75
D.	90
Answer» E.

Discussion

21.	A number of two digits has 3 for its unit's digit, and the sum of digits is 1/7 of the number itself, The number is
A.	43
B.	53
C.	63
D.	73
Answer» D. 73

Discussion

22.	A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is the number ?
A.	3.5
B.	6
C.	8
D.	None of these
Answer» D. None of these

Discussion

23.	If the numerator of a fraction is increased by 200% and the denominator is increased by 200% then resultant fraction is 14/5.What is the original fraction ?
A.	4/7
B.	13/12
C.	11/12
D.	None of these
Answer» E.

Discussion

24.	The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ?
A.	72
B.	56
C.	54
D.	Cannot be determined
E.	None of these
Answer» D. Cannot be determined

Discussion

25.	Joel purchased 40 notebooks at the rate of 18 per notebook and 55 pencils at the rate of 8 per pencil. What is the total amount that he paid to the shopkeeper?
A.	1,165
B.	1,160
C.	1,166
D.	1,161
E.	None of these
Answer» C. 1,166

Discussion

26.	The number obtained by interchanging the two digits of a two-digit number is lesser than the original number by 54. If the sum of the two-digit number is 10, then what is the original number ?
A.	28
B.	39
C.	82
D.	cannot be determined
Answer» D. cannot be determined

Discussion

27.	Smita was asked to multiply a certain number by 36. She multiplied it by 63 instead and got an answer of 3834 more than the correct one. What was the number to be multiplied?
A.	152
B.	126
C.	142
D.	148
Answer» D. 148

Discussion

28.	Ravi has spent a quarter (1/4) of his life as a boy , one fifth (1/5) as a youth , one third (1/3) as a man and thirteen (13) years in old age . What is his present age ?
A.	70 years
B.	80 years
C.	60 years
D.	36 years
Answer» D. 36 years

Discussion

29.	The sum of third , fourth and fifth part of a number exceeds half of the number by 34. Find the number?
A.	60
B.	120
C.	30
D.	None of these
Answer» C. 30

Discussion

30.	Krishna has some hens and some goats. If the total number of animal heads are 81 and the total number of animal legs are 234. How many goats does Krishna have ?
A.	45
B.	24
C.	36
D.	can be determined
Answer» D. can be determined

Discussion

31.	The age of the father 5 years ago was 5 times the age of his son. At present the father's age is 3 times that of his son . What is the present age of the father ?
A.	33 years
B.	30 years
C.	45 years
D.	None of these
Answer» C. 45 years

Discussion

32.	The ratio of two numbers is 4:7. If each of those numbers increased by 30, their ratio will become 5:8 . What is the average of these two numbers ?
A.	135
B.	145
C.	155
D.	165
Answer» E.

Discussion

33.	Divide 50 into two parts so that the sum of their reciprocals is 1/2.
A.	28,22
B.	35,15
C.	20,30
D.	24,36
Answer» D. 24,36

Discussion

34.	The ratio of the present ages of a mother and daughter is 7:1 . Four years ago the ratio of their ages was 19:1 . What will be the mother's age four years from now ?
A.	42 years
B.	38 years
C.	46 years
D.	36 years
Answer» D. 36 years

Discussion

35.	The linear equation such that each point on its graph has an ordinate four times its abscissa is :
A.	y + 4x = 0
B.	y = 4x
C.	x = 4y
D.	x + 4y = o
Answer» C. x = 4y

Discussion

36.	If x + y - 7 = 0 and 3x + y - 13 = 0, then what is 4x² + y² + 4xy equal to ?
A.	75
B.	85
C.	91
D.	100
Answer» E.

Discussion

37.	if 3^{x + y} = 81 and 81^{x - y} = 3, then what is the value of x ?
A.	17/16
B.	17/8
C.	17/4
D.	15/4
Answer» C. 17/4

Discussion

38.	How many 3-digits numbers are completely divisible by 6?
A.	149
B.	150
C.	151
D.	166
Answer» C. 151

Discussion

39.	The Fourth term of an Arithmetic Progression is 37 and the Sixth term is 12 more than the Fourth term. What is the sum of the Second and Eight terms?
A.	54
B.	64
C.	74
D.	84
Answer» D. 84

Discussion

40.	A man arranges to pay off a debt of 3600 in 40 annual installments which form an Arithmetic Progression (A.P). When 30 of the installments are paid, he dies leaving one-third of the debt unpaid . Find the value of the first installment.
A.	55
B.	53
C.	51
D.	49
Answer» D. 49

Discussion

41.	A number 15 is divided into 3 parts which are in Arithmetic Progression (A.P) and the sum of their squares is 83. What will be the smallest number?
A.	5
B.	3
C.	6
D.	8
Answer» C. 6

Discussion

42.	On March 1st 2016 , sherry saved 1. Everyday starting from March 2nd 2016, he save 1 more than the previous day . Find the first date after March 1st 2016 at the end of which his total savings will be a perfect square.
A.	17th March 2016
B.	18th March 2016
C.	26th March 2016
D.	None of these
Answer» E.

Discussion

43.	what is the sum of all the two-digits numbers which when divided by 7 gives a remainder of 3 ?
A.	94
B.	676
C.	696
D.	None of these
Answer» C. 696

Discussion

44.	If the m^th term of an Arithmetic Progression (AP) is 1/n and n^th term is 1/m, then find the sum of mn terms.
A.	(mn-1)/4
B.	(mn+1)/4
C.	(mn+1)/2
D.	(mn-1)/2
Answer» D. (mn-1)/2

Discussion

45.	The Sum of all terms of the arithmetic progression having 10th terms except for the 1st term, is 99, and except for the 6th term , 89. Find the 3rd terms of the progression if the sum of the 1st and the 5th term is equal to 10.
A.	15
B.	5
C.	8
D.	10
Answer» C. 8

Discussion

46.	If 24 is subtracted from a number, it reduces to its four-seventh. what is the sum of the digits of that number ?
A.	1
B.	9
C.	11
D.	Data inadequate
Answer» D. Data inadequate

Discussion

47.	If the sum of one-half and one-fifth of the number exceeds one-third of that number by 7¹/3 , the number is
A.	15
B.	18
C.	20
D.	30
Answer» D. 30

Discussion

48.	A driver's income consists of his salary and tips. during one week his tips were 5/4 of his salary. what fraction of his income came from tips?
A.	4/9
B.	5/9
C.	5/8
D.	5/4
Answer» C. 5/8

Discussion

49.	In the certain party, there was a bowl of rice for every two guests , a bowl of juice for every three of them and a bowl of meat for every four of them. If there were all 65 bowls of food , then how many guests were there in the party ?
A.	65
B.	24
C.	60
D.	48
Answer» D. 48

Discussion

50.	The sum of two numbers is 25 and their difference is 13. Find their product.
A.	104
B.	114
C.	315
D.	325
Answer» C. 315

Discussion

Explore topic-wise MCQs in Aptitude.

The present ages of two persons are 36 and 50 years respectively, if after n years the ratio of their ages will be 3:4, then the value of n is

Bus fare between Rajpur and Mirpur for one Adult is six times the fare of one child. If an adult's bus fare is 114/-, how much amount will be paid by 4 adults and 5 children together for travelling the same distance ?

11 friends went to a hotel and decided to pay the bill amount equally, But 10 of them could pay 60 each, as a result 11th has to pay 50 extra than his share . Find the amount paid by him?

There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number ?

In a group of equal number of cows and herdsmen, the number of legs was 28 less than four times the number of heads . The number of herdsmen was

A number when subtracted by 1/7 of itself gives the same value as the sum of all the angles of a triangle. What is the number?

A series of books was published at seven years interval. When the seventh book was issued, the sum of the publication year was 13,524. When was the first book published ?

The difference between a two- digit number and the number obtained by interchanging the position of its digits is 36.What is the difference between the two digits of that number ?

If the digits of a two-digit number are interchanged , the number formed is greater than the the original number by 45. If the difference between the digits is 5, then what is the original number ?

A number of two digits has 3 for its unit's place,and the sum of digits is 1/7 of the number itself, The number is

The denominator of a fraction is 2 more than thrice its numerator. if the numerator as well as denominator is increased by one , the fraction becomes 1/3. What was the original fraction ?

54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :

If [ 3 + x + 3 - x] / [ 3 + x - 3 - x] = 2, then x is equal to

The graph of ax + by = c, dx + ey = f will beI. parallel, if the system has no solution.II. coincident, if the system has finite number of solutions.III. intersecting. if the system has only one solution. Which of the above statements are correct ?

If 2a + 3b = 17 and 2a + 2 - 3b +1 = 5, then

If the number obtained on the interchanging the digits of two-digits number is 18 more than the original number and the sum of the digits is 8, then what is the original number ?

In a two-digit number, the digit in the unit's place is three times the digit in tenth's place. The sum of the digits is equal to 8. What is the number ?

In a two-digit number, the digit at the unit's place is 1 less than twice the digit at the ten's place. If the digits at unit's and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is

A man has 480 in the denominations of 1 rupee notes , 5 rupee notes and 10 rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has

A number of two digits has 3 for its unit's digit, and the sum of digits is 1/7 of the number itself, The number is

A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is the number ?

If the numerator of a fraction is increased by 200% and the denominator is increased by 200% then resultant fraction is 14/5.What is the original fraction ?

The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ?

Joel purchased 40 notebooks at the rate of 18 per notebook and 55 pencils at the rate of 8 per pencil. What is the total amount that he paid to the shopkeeper?

The number obtained by interchanging the two digits of a two-digit number is lesser than the original number by 54. If the sum of the two-digit number is 10, then what is the original number ?

Smita was asked to multiply a certain number by 36. She multiplied it by 63 instead and got an answer of 3834 more than the correct one. What was the number to be multiplied?

Ravi has spent a quarter (1/4) of his life as a boy , one fifth (1/5) as a youth , one third (1/3) as a man and thirteen (13) years in old age . What is his present age ?

The sum of third , fourth and fifth part of a number exceeds half of the number by 34. Find the number?

Krishna has some hens and some goats. If the total number of animal heads are 81 and the total number of animal legs are 234. How many goats does Krishna have ?

The age of the father 5 years ago was 5 times the age of his son. At present the father's age is 3 times that of his son . What is the present age of the father ?

The ratio of two numbers is 4:7. If each of those numbers increased by 30, their ratio will become 5:8 . What is the average of these two numbers ?

Divide 50 into two parts so that the sum of their reciprocals is 1/2.

The ratio of the present ages of a mother and daughter is 7:1 . Four years ago the ratio of their ages was 19:1 . What will be the mother's age four years from now ?

The linear equation such that each point on its graph has an ordinate four times its abscissa is :

If x + y - 7 = 0 and 3x + y - 13 = 0, then what is 4x2 + y2 + 4xy equal to ?

if 3x + y = 81 and 81x - y = 3, then what is the value of x ?

How many 3-digits numbers are completely divisible by 6?

The Fourth term of an Arithmetic Progression is 37 and the Sixth term is 12 more than the Fourth term. What is the sum of the Second and Eight terms?

A man arranges to pay off a debt of 3600 in 40 annual installments which form an Arithmetic Progression (A.P). When 30 of the installments are paid, he dies leaving one-third of the debt unpaid . Find the value of the first installment.

A number 15 is divided into 3 parts which are in Arithmetic Progression (A.P) and the sum of their squares is 83. What will be the smallest number?

On March 1st 2016 , sherry saved 1. Everyday starting from March 2nd 2016, he save 1 more than the previous day . Find the first date after March 1st 2016 at the end of which his total savings will be a perfect square.

what is the sum of all the two-digits numbers which when divided by 7 gives a remainder of 3 ?

If the mth term of an Arithmetic Progression (AP) is 1/n and nth term is 1/m, then find the sum of mn terms.

The Sum of all terms of the arithmetic progression having 10th terms except for the 1st term, is 99, and except for the 6th term , 89. Find the 3rd terms of the progression if the sum of the 1st and the 5th term is equal to 10.

If 24 is subtracted from a number, it reduces to its four-seventh. what is the sum of the digits of that number ?

If the sum of one-half and one-fifth of the number exceeds one-third of that number by 7 1/3 , the number is

A driver's income consists of his salary and tips. during one week his tips were 5/4 of his salary. what fraction of his income came from tips?

In the certain party, there was a bowl of rice for every two guests , a bowl of juice for every three of them and a bowl of meat for every four of them. If there were all 65 bowls of food , then how many guests were there in the party ?

The sum of two numbers is 25 and their difference is 13. Find their product.

The graph of ax + by = c, dx + ey = f will be
I. parallel, if the system has no solution.
II. coincident, if the system has finite number of solutions.
III. intersecting. if the system has only one solution.
Which of the above statements are correct ?

If 2^a + 3^b = 17 and 2^{a + 2} - 3^{b +1} = 5, then

If x + y - 7 = 0 and 3x + y - 13 = 0, then what is 4x² + y² + 4xy equal to ?

if 3^{x + y} = 81 and 81^{x - y} = 3, then what is the value of x ?

If the m^th term of an Arithmetic Progression (AP) is 1/n and n^th term is 1/m, then find the sum of mn terms.

If the sum of one-half and one-fifth of the number exceeds one-third of that number by 7¹/3 , the number is