Day 68: SSC CGL Quant

5 questions. Try each one first, then open its answer.

Question 1
Triangles. This type asked 3 times: 17 Sep 2024 S2, 16 Sep 2025 S1, 21 Sep 2025 S3. This one: 21 Sep 2025 S3 See all 3 of this type
75 $A right-angled triangle ABC has legs AB=6 cm and BC=8 cm. An altitude BD is drawn from the vertex B to the hypotenuse AC. What is the length of the altitude BD?$
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Question 2
Averages. This type asked 3 times: 9 Sep 2024 S2, 12 Sep 2025 S3, 21 Sep 2025 S1. This one: 21 Sep 2025 S1 See all 3 of this type
66 $The average of a group of 11 numbers is 61. If the first six numbers have an average of 57 and the last six numbers have an average of 65, what is the sixth number?$
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Question 3
Coordinate Geometry. This type asked 3 times: 18 Sep 2025 S1, 19 Sep 2025 S2, 21 Sep 2025 S1. This one: 21 Sep 2025 S1 See all 3 of this type
73 $In a triangle with vertices P(x, y), Q(5, -1), and R(2, 6), the Centroid is at G(4, 2). What are the coordinates of vertex P?$
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Question 4
Number System. This type asked 3 times: 17 Sep 2025 S3, 19 Sep 2025 S2, 21 Sep 2025 S1. This one: 21 Sep 2025 S1 See all 3 of this type
51 $What is the smallest number that must be added to 2378 to make it a perfect square?$
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Question 5
Time and Work. This type asked 3 times: 14 Jul 2023 S3, 12 Sep 2025 S2, 21 Sep 2025 S1. This one: 21 Sep 2025 S1 See all 3 of this type
64 $60\%$
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Question 1