Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
An investor deposits ₹20,000 in a scheme offering 6% compound interest per annum. After 18 months, he adds ₹10,000 more. Find the total amount after 3 years from the initial deposit.
₹33,920.00
₹34,738.32
₹35,100.00
₹36,250.75
Correct answer
₹33,920.00
A student is tracking their reading progress. On Monday, they read 0.4 of a book. On Tuesday, they read 1/3 of the remaining portion of the book. What fraction of the entire book is left unread after Tuesday?
5/1
4/15
2/5
5/7
Correct answer
5/1
Looking down from the edge of a 20-meter high cliff, the angle to a boat on the water is 60° below the horizontal. What is the horizontal distance between the boat and the cliff's bottom?
\( 20\sqrt{3} \) m
\( (20\sqrt{3})/3 \) m
\( 10\sqrt{3} \) m
10 m
Correct answer
\( 20\sqrt{3} \) m
Which of the following numbers cannot be the square of a natural number?
30976
28561
1057
2401
Correct answer
30976
What is the smallest positive integer such that its product with 252 is a perfect square?
2
3
4
7
Correct answer
2
In a right-angle triangle ABC, with a right angle at 'B', 'D' is the midpoint of AB and DE is a perpendicular drawn on side AC. If AB = 20 cm and BC = 15 cm, then find the area of ΔAED (in cm2).
18 cm2
52 cm2
24 cm2
33 cm2
Correct answer
18 cm2
What percentage profit is made when the selling price of 12 pens covers the cost price of 27 pens?
125%
135%
115%
145%
Correct answer
125%
A dealer allows a discount of 25% on marked price but still gains 60%. If the cost price is Rs. 1500, what is the marked price?
Rs. 2,200
Rs. 3,400
Rs. 3,200
Rs. 3,500
Correct answer
Rs. 2,200
A solid sphere of radius 7 cm is melted and recast into smaller spheres of radius 1 cm. How many such small spheres will be formed?
625
789
343
1120
Correct answer
625
The difference between two numbers is 18 & their product is 63. What is the square of their sum?
476
576
676
776
Correct answer
476
A contractor undertakes to do a piece of work in 60 days with 48 workers. After 30 days, only half the work is done. How many more workers are needed to complete the work in the scheduled time?
12
24
0
18
Correct answer
12
A contractor agrees to complete a building in 120 days. He employs 75 workers. After 80 days, only half of the work is completed. To avoid the penalty and finish the remaining work on time. How many additional worker must be employ?
60
75
90
100
Correct answer
60
A boat takes 6 hours to travel 36 km downstream and 12 hours to travel the same distance upstream. Find the speed of the boat in still water.
4.5 km/h
8.9 km/h
5.9 km/h
12.7 km/h
Correct answer
4.5 km/h
If a person walks at 5 km/h, he misses a train by 7 minutes. If he walks at 6 km/h, he reaches the station 5 minutes early. Find the distance to the station.
7 km
4 km
12 km
6 km
Correct answer
7 km
A bank offers a savings scheme where ₹10,000 invested at simple interest grows to ₹12,500 in 5 years.
4%
5%
16%
7%
Correct answer
4%
The value of sin4 θ + cos4 θ is equal to:
1
1 - 2 sin2 θ cos2 θ
sin2 θ +cos2 θ
2sin2 θ cos2 θ
Correct answer
1
From a point on the ground, the angle of elevation of the top of a tower is 30. If the distance from the point to the base of the tower is 50 meters, find the height of the tower.
25√3 m
(50√3)/3 m
50 m
(25√3)/2 m
Correct answer
25√3 m
The angle of elevation of the top of a tower is 30° from a point on the ground. On moving 100 m closer to the base, the angle becomes 60°. Find the height of the tower.
50 m
100 m
50√3 m
100√3 m
Correct answer
50 m
If (3 - √7) /(3 + √7) = a + b√7, then the values of a and b are respectively:
a = 8, b = -3
a = 3, b = -8
a = 8/11, b = 3/11
a = 11/8, b = 11/3
Correct answer
a = 8, b = -3
Which of the following is the slope-intercept form of a linear equation?
y = mx + c
x = my + c
y = c + mx2
y = c - mx
Correct answer
y = mx + c
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.