Mr. Jayesh plans to save amount for… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

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Mr. Jayesh plans to save amount for higher studies of his daughter, required after 10 years. How much amount should he save at the beginning of each year to accumulate Rs.1,00,000 at the end of 10 years. If rate of interest is 12% compounded annually? [Given $(1.12)^{11} = 3.5$ ]

Official previous-year question

Held on 27 May 2025 · Verified 13 Jul 2026.

Options

A
Rs.5291
B
Rs. 5000
C
Rs. 5042
D
Rs. 5500

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Solution

The probability of getting a tail on the coin or a number greater than 3 on the die needs to be determined.

The coin has 2 outcomes: Head (H) or Tail (T)

The die has 6 outcomes: 1, 2, 3, 4, 5, 6

Total combined outcomes = 2 × 6 = 12

The favorable outcomes occur when there is a tail on the coin or a number greater than 3 (that is, 4, 5, or 6) on the die.

When coin shows Tail:

(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6) → 6 outcomes

When coin shows Head and die shows a number greater than 3:

(H, 4), (H, 5), (H, 6) → 3 outcomes

Total favorable outcomes = 6 + 3 = 9

The probability is:

$\text{Probability} = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$\text{Probability} = \dfrac{9}{12}$

$\text{Probability} = \dfrac{3}{4}$

Therefore, the probability that the outcome will be a tail on the coin or a number greater than 3 on the die is $\dfrac{3}{4}$ .

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