SSC CGL 2025 Tier-I · 19 September 2025, Shift 3 · Quantitative Aptitude · Question 16 of 100

We transcribed this text from the pictures on a candidate's response sheet for this shift; the answer is the key SSC colour-marked on that sheet. Solution last reviewed 11 September 2026.

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SSC does not publish CGL question papers or a public answer key. From 2025 the candidate response sheet prints every question and option as a picture, so the text here is transcribed from those pictures for this shift and checked against them independently; where the layout carries meaning, the picture is shown as well. Each answer is the key SSC colour-marked on that sheet. SSC released a tentative key for challenge and later its final one, both only to candidates behind a login, and the sheet does not say which of the two it carries. The solutions are written by UnlockIAS.

Which point lies on y = −3x + 7?

(a)(0, 7)
(b)(2, 1)
(c)(3, −2)
(d)(0,7), (2,1) and (3,−2) all

Answer

Why

Correct — D. A point lies on the line when its x gives its y. Substitute each x into y = −3x + 7.

(0, 7): −3 × 0 + 7 = 7, matches
(2, 1): −3 × 2 + 7 = −6 + 7 = 1, matches
(3, −2): −3 × 3 + 7 = −9 + 7 = −2, matches

All three points satisfy the equation → option (d)

Why the others are wrong

(a)
(0, 7) — (0, 7) is on the line, it is the y-intercept, but (2, 1) and (3, −2) fit too. A single point is an incomplete answer here.
(b)
(2, 1) — (2, 1) is on the line, since −6 + 7 = 1, but so are (0, 7) and (3, −2). Choosing it alone ignores that all three satisfy the equation.
(c)
(3, −2) — (3, −2) fits, since −9 + 7 = −2, but it is not alone: (0, 7) and (2, 1) satisfy y = −3x + 7 as well.

Concept

A point (x, y) lies on a line exactly when its coordinates satisfy the equation: put in the x-value and the equation must return the y-value.

In y = −3x + 7 the slope is −3, so each step of +1 in x lowers y by 3. From (0, 7), two steps reach (2, 1) and three steps reach (3, −2).

Each of options (a), (b) and (c) is true on its own, which is the trap. Option (d) is the complete answer, so test every point before settling on one.

Key facts

A point lies on a line if substituting its x into the equation gives its y.
In y = mx + c, m is the slope and c the y-intercept: here m = −3 and c = 7.

Study next

Finding m when a line y = mx + c passes through a given pointFinding where a line cuts the x-axis by setting y = 0Checking whether three points are collinear by comparing slopes

Common traps

Stopping at the first point that fits, when option (d) says all three do
Dropping the minus sign in −3x: at x = 3 the value is −9 + 7 = −2, not 9 + 7 = 16

19 Sep 2025, 09:00, Quant Q.16 is built the same way: y = 4x − 5 passes through (1, −1), (0, −5) and (2, 3), keyed All the above.

12 Sep 2025, 09:00, Quant Q.24 turns it round, giving the point (1, 8) and asking for m in y = mx + 5.

Related PYQs

No directly related past PYQ was found.