Default Title

Question (21)

QN0036591

The lines 2x + 3y = 6 and 4x + 6y = 15 are:

(A) Coincident
(B) Parallel
(C) Intersecting at (0, 2)
(D) Perpendicular

Correct Answer: B

Explanation:

2/4 = 3/6, but 6/15 ≠ 1/2. Therefore, the lines are parallel.

Link:

Report Error

Question (22)

QN0036592

If 3x + 2y = 16 and x + y = 6, then x - y equals:

(A) 1
(B) 2
(C) 3
(D) 4

Correct Answer: B

Explanation:

x = 6 - y. Thus 3(6 - y) + 2y = 16, giving y = 2 and x = 4. Hence x - y = 2.

Link:

Report Error

Question (23)

QN0036593

A pair of equations gives the statement 0 = 7 after elimination. The pair is:

(A) Consistent with unique solution
(B) Dependent
(C) Inconsistent
(D) Coincident

Correct Answer: C

Explanation:

A false statement involving no variable means that the equations have no common solution.

Link:

Report Error

Question (24)

QN0036594

A pair of equations gives 0 = 0 after elimination. This indicates:

(A) No solution
(B) A unique solution
(C) Infinitely many solutions
(D) Exactly two solutions

Correct Answer: C

Explanation:

A true statement involving no variable indicates dependent equations with infinitely many solutions.

Link:

Report Error

Question (25)

QN0036595

Two numbers have sum 31 and difference 7. The numbers are:

(A) 18 and 13
(B) 19 and 12
(C) 20 and 11
(D) 21 and 10

Correct Answer: B

Explanation:

Let the numbers be x and y. x + y = 31 and x - y = 7. Adding gives x = 19 and y = 12.

Link:

Report Error

Question (26)

QN0036596

The sum of two numbers is 45 and one is twice the other. The larger number is:

(A) 15
(B) 20
(C) 30
(D) 35

Correct Answer: C

Explanation:

Let the smaller number be y. Then the larger is 2y. Hence 3y = 45, so y = 15 and the larger number is 30.

Link:

Report Error

Question (27)

QN0036597

A two-digit number has digits x and y. Its value is represented by:

(A) x + y
(B) 10x + y
(C) x + 10y only when x < y
(D) 10(x + y)

Correct Answer: B

Explanation:

If x is the tens digit and y is the units digit, the number is 10x + y.

Link:

Report Error

Question (28)

QN0036598

The sum of a two-digit number and its reverse is 88. The sum of its digits is:

(A) 6
(B) 7
(C) 8
(D) 9

Correct Answer: C

Explanation:

The number and its reverse give 11(x + y) = 88. Hence x + y = 8.

Link:

Report Error

Question (29)

QN0036599

A father is 20 years older than his son. Their total age is 56 years. The father's age is:

(A) 28 years
(B) 36 years
(C) 38 years
(D) 40 years

Correct Answer: C

Explanation:

Let the son's age be x. Then father's age is x + 20. Thus 2x + 20 = 56, giving x = 18 and father's age = 38 years.

Link:

Report Error

Question (30)

QN0036600

If the cost of 2 pens and 3 pencils is ₹34, while 3 pens and 2 pencils cost ₹31, the cost of one pen is:

(A) ₹5
(B) ₹7
(C) ₹8
(D) ₹9

Correct Answer: B

Explanation:

Let the costs be p and q. Solving 2p + 3q = 34 and 3p + 2q = 31 gives p = ₹7.

Link:

Report Error

Question (21)

The lines 2x + 3y = 6 and 4x + 6y = 15 are:

Explanation:

Link:

Question (22)

If 3x + 2y = 16 and x + y = 6, then x - y equals:

Explanation:

Link:

Question (23)

A pair of equations gives the statement 0 = 7 after elimination. The pair is:

Explanation:

Link:

Question (24)

A pair of equations gives 0 = 0 after elimination. This indicates:

Explanation:

Link:

Question (25)

Two numbers have sum 31 and difference 7. The numbers are:

Explanation:

Link:

Question (26)

The sum of two numbers is 45 and one is twice the other. The larger number is:

Explanation:

Link:

Question (27)

A two-digit number has digits x and y. Its value is represented by:

Explanation:

Link:

Question (28)

The sum of a two-digit number and its reverse is 88. The sum of its digits is:

Explanation:

Link:

Question (29)

A father is 20 years older than his son. Their total age is 56 years. The father's age is:

Explanation:

Link:

Question (30)

If the cost of 2 pens and 3 pencils is ₹34, while 3 pens and 2 pencils cost ₹31, the cost of one pen is:

Explanation:

Link:

Excel With Tutors

ExcelWithTutors

For Student

For Tutors

Learn

OUR POLICY