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Day 16: SSC CGL Tier II Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked 2 times: 29 Jan 2022 Tier II*, 3 Feb 2022 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    13
    The value of 3(cosec226∘−tan⁡264∘)+(cot⁡242∘−sec⁡248∘)cot⁡(22∘−θ)−cosec2(62∘+θ)−tan⁡(θ+68∘)+tan⁡2(28∘−θ)\frac{3(\text{cosec}^2 26^\circ - \tan^2 64^\circ) + (\cot^2 42^\circ - \sec^2 48^\circ)}{\cot(22^\circ - \theta) - \text{cosec}^2(62^\circ + \theta) - \tan(\theta + 68^\circ) + \tan^2(28^\circ - \theta)} is:

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  2. Question 2

    Circles. This type asked 2 times: 8 Aug 2022 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 2 of this type

    9
    If a chord of a circle subtends an angle of 60∘60^\circ at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?

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  3. Question 3

    Mensuration 3D. This type asked 2 times: 7 Mar 2023 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 2 of this type

    20
    The base of a right pyramid is an equilateral triangle with side 10 cm, and its vertical height is 24 cm. Find the volume (in cm3\text{cm}^3) of the pyramid.

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  4. Question 4

    Number System. This type asked 2 times: 3 Feb 2022 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 2 of this type

    26
    How many integers in the set {1,2,3……,100}\{1, 2, 3\ldots\ldots, 100\} have exactly 3 divisors?

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  5. Question 5

    Time and Work. This type asked 2 times: 3 Feb 2022 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 2 of this type

    19
    P and Q can do a piece of work in 20 days and 30 days, respectively. They work together for 6 days, and then Q is replaced by R. If the rest of the work is completed by P and R in 8 more days, in how many days can R alone complete 60% of the work?

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