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Day 99: SSC CGL Tier II Quant

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

  1. Question 1

    Simple and Compound Interest. Asked once: 3 Feb 2022 Tier II

    62
    A sum of ₹50,250 is divided into two parts such that the simple interest on the first part for 7127\frac{1}{2} years at 813%8\frac{1}{3}\% p.a. is 52\frac{5}{2} times the simple interest on the second part for 5145\frac{1}{4} years at 8% p.a. What is the difference (in ₹) between the two parts?

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  2. Question 2

    Surds, Indices and Simplification. Asked once: 8 Aug 2022 Tier II

    7
    Which fraction among the following is the least? 511,712,813,917\frac{5}{11}, \frac{7}{12}, \frac{8}{13}, \frac{9}{17}

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  3. Question 3

    Time and Work. Asked once: 3 Feb 2022 Tier II

    89
    Pipes A, B and C can fill a tank in 20, 30 and 60 hours, respectively. Pipes A, B and C are opened at 7 a.m., 8 a.m., and 9 a.m., respectively, on the same day. When will the tank be full?

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  4. Question 4

    Time, Speed and Distance. Asked once: 15 Nov 2020 Tier II

    13
    A takes 2 hours more than B to cover a distance of 40 km. If A doubles his speed, he takes 1121\frac{1}{2} hours more than B to cover 80 km. To cover a distance of 90 km, how much time will B take travelling at his same speed?

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  5. Question 5

    Triangles. Asked once: 2 Mar 2023 Tier II

    19
    In ΔPQR\Delta PQR,PQ=QR and O is an interior point of ΔPQR\Delta PQR such that ∠OPR=∠ORP\angle OPR = \angle ORP. Consider the following statements: (i) ΔPOR\Delta POR is an isosceles triangle. (ii) O is the centroid of ΔPQR\Delta PQR. (iii) ΔPQO\Delta PQO is congruent to ΔRQO\Delta RQO. Which of the above statements are correct?

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