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2025 · Level 1 Afternoon

Group D LEVEL 1 Previous Year Question 2025-01-12 Shift 2 Shift Common

100 questions 120 min 100.0 marks
31 Part B
+1.0M -0.33M
Find the value of: \[ \frac{\sin 80^\circ}{\cos 10^\circ} - \sin 57^\circ \sec 33^\circ + 2 \]
32 Part B
+1.0M -0.33M
The cost price of an article is ₹10,720. It was sold for ₹9,862.40. Find the loss percentage.
33 Part B
+1.0M -0.33M
If mode of data 8, 7, 8, 7, 9, 10, 2, 8, 9, 7, 5, 10 and x is 7, then the value of x is:
34 Part B
+1.0M -0.33M
Pushpraj and Himani together invested ₹17,800 in a business. At the end of the year, out of a total profit of ₹5,600, Pushpraj's share was ₹2,100. What was the investment of Pushpraj?
35 Part B
+1.0M -0.33M
The amount on a sum of ₹7,700 at 10% per annum compound interest, compounded annually, in 2 years will be:
36 Part B
+1.0M -0.33M
In a bag containing red, green and pink tokens, the ratio of red to green tokens was 14 : 8 while the ratio of pink to red tokens was 2 : 6. What was the ratio of green to pink tokens?
37 Part B
+1.0M -0.33M
A 24-metre-long wire is broken into three pieces. The largest piece has length thrice the length of the smallest piece. The difference between lengths of two larger pieces is equal to the difference between the lengths of two smaller pieces. The length of the largest piece is ____ metres.
38 Part B
+1.0M -0.33M
A woman travelled at a speed of 20 m/min for 80 min, and at a speed of 55 m/min for 60 min. Her average speed (in m/min) is:
39 Part B
+1.0M -0.33M
A solid metallic sphere of radius 10.5 cm is melted and recast into smaller spherical balls, each of radius 3.5 cm. Find the ratio of the total surface area of all the smaller spheres to the surface area of the original sphere
40 Part B
+1.0M -0.33M
The sides of a triangle are 75 cm, 34 cm and 61 cm. What is the length of its altitude corresponding to the side with the length of 34 cm?