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2025 · Level 1 Morning

Group D LEVEL 1 Previous Year Question 2025-04-12 Shift 1 Shift Common

100 questions 120 min 100.0 marks
31 Part B
+1.0M -0.33M
A train overtakes two persons walking along a railway track. The first one walks at 5.4 km/hr. The other one walks at 18 km/hr. The train needs 30 and 44 seconds, respectively, to overtake them. What is the speed of the train, if both the persons are walking in the same direction as the train?
32 Part B
+1.0M -0.33M
R pays ₹20 with ₹2 and ₹5 coins. If at least one coin of each denomination is used in paying the amount, then the number of ₹2 coins used is _____.
33 Part B
+1.0M -0.33M
The ratio of the ages of John and James will be 8 : 7 after 8 years. If the difference between their ages is 5 years, find the present age of James.
34 Part B
+1.0M -0.33M
The sum of three numbers is 4512. If the ratio between the first and second numbers is 16 : 9 and that of between the second and third is 15 : 21, then find the difference between the first and the third number.
35 Part B
+1.0M -0.33M
The unit prices of lemon chocolate and strawberry chocolate are in the ratio 28 : 26, and a family consumes them in the ratio 15 : 14 by quantity. Find the ratio of expenditure on strawberry chocolate to that on lemon chocolate.
36 Part B
+1.0M -0.33M
The length of each of the two equal sides of an isosceles triangle is 78 cm, and the length of its base is 60 cm. Find the area (in cm2) of the triangle.
37 Part B
+1.0M -0.33M
Simplify the following. \( (2x^3y^5z) \times (5xy^6z^2) \div (15x^2yz^2) \)
38 Part B
+1.0M -0.33M
One pipe can fill a tank in 6 minutes while another pipe can empty the completely filled tank in 12 minutes. If both the pipes are opened together when the tank is empty, how many minutes will it take to fill one-fourth of the tank?
39 Part B
+1.0M -0.33M
The vertices of a quadrilateral are A(2,3), B(5,7), C(10,6), and D(7,2). Find the area of the quadrilateral ABCD.
40 Part B
+1.0M -0.33M
If 30% of 40% of 5/9 of a number is 704, find the number.