Group D LEVEL 1 Previous Year Question 2025-09-12 Shift 1 Shift Common

A vendor offers her customers a discount of 15% on her beauty products and she still makes a profit of 5%. What is the cost price (in ₹) of a beauty product marked at ₹273?

To buy a car, Taniya borrowed ₹75,000 at 8% per annum simple interest for 27 months. How much interest will she pay?

If \( \alpha + \beta = 14 \) and \( \alpha\beta = 20 \), then what is the value of \( (\alpha^2 + \beta^2)^{\frac{1}{2}} \)?

A class of 95 students took a Physics test. 47 students had an average score of 93. The other students had an average score of 54. What is the average score (rounded off to one decimal place) of the whole class?

A number when doubled and increased by 7 becomes 29. Find the number.

Determine the largest number that divides both 1058 and 1550, leaving remainders of 5 and 11, respectively.

In a \( \triangle MNR \), the sides \( MN \) and \( MR \) are extended to \( P \) and \( Q \), respectively. The bisectors of \( \angle PNR \) and \( \angle QRN \) intersect at a point \( X \). If \( \angle X = 75^\circ \), then the value of \( 2\angle M \) is:

Aditya can do \( \frac{1}{6} \text{th} \) of a piece of work in \( 13 \) days and Bhagawan can do \( \frac{1}{9} \text{th} \) of the same work in \( 12 \) days. Find the number of days taken to complete the work if both work together.

(Round off your answer to one decimal place.)

If the third proportional of 50 and 30 be x, then what is the value of x?

The cost of a washing machine is 10% less than the cost of a TV. If the cost of the washing machine increases by 55% and that of the TV decreases by 71%, then what is the percentage change in the total cost of 6 washing machines and 3 TVs?