Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The base of a right prism is a regular hexagon with a side length of 8 cm. The height of the prism is 15 cm. Find the volume of the prism.
1536 cm3
2494 cm3
2048 cm3
2304 cm3
Correct answer
1536 cm3
If \( Y^x = 121 \), what will \( (Y - 1)^{(x - 2)} = ? \)
2
11
0
1
Correct answer
2
A composite shape has a rectangle (10 cm × 4 cm) with a semicircle on one short side. What is the total area of the shape?
54.22 cm2
58.34 cm2
46.28 cm2
56.42 cm2
Correct answer
54.22 cm2
Complement of an angle is 12° more than twice the angle. Find the angle.
18°
22°
24°
26°
Correct answer
18°
If cosA = 12/13, and A is acute, find tanA.
5/12
12/5
5/1
15/12
Correct answer
5/12
In triangle ABC, the coordinates of vertices A and B are (0,0) and (6,0), respectively. Vertex C lies somewhere on the line y=x, and the centroid of triangle ABC is (5,3). What are the coordinates of point C?
(3,3)
(4,4)
(5,5)
(9,9)
Correct answer
(3,3)
What is the slope of the line perpendicular to 7x+4y=6?
2/4
4/3
7/4
4/7
Correct answer
2/4
In the given figure, ∠POQ = 100°, ∠POR = 80°. Then, ∠PSQ = ?(O is the center of the circle)
50°
36°
48°
96°
Correct answer
50°
If mean, median, and mode of a moderately skewed observations are (x - 1), (2x - 4) and '2x', respectively, then find the value of 'x'.
2
5
4
8
Correct answer
2
There are two circles with radii of 5 cm and 3 cm are positioned so that they touch each other internally. What is the distance between their centers?
2 cm
3 cm
5 cm
8 cm
Correct answer
2 cm
What is the largest five-digit number that is divisible by 9, 15, 16, 21, and 5?
95760
98320
92680
99120
Correct answer
95760
Evaluate: \( (\frac{1}{28}) + (\frac{1}{35}) + (\frac{1}{49}) + (\frac{1}{56}) \)
0.09285
0.08565
0.10255
0.07755
Correct answer
0.09285
M and N invest ₹80,000 and ₹1,20,000. After a year, the total profit, including 10% interest, is ₹33,000. What is N's share?
₹20,000
₹19,000
₹20,800
₹19,800
Correct answer
₹20,000
The average age of a group of 8 people increases by 2 years when a person aged 14 is replaced by a new person. Find the age of the new person.
30
40
50
60
Correct answer
30
The price of cooking oil increased by 8%. A family uses 12 litres of cooking oil per month. If the original price was ₹150 per litre, what is the additional annual expenditure (to the nearest Rs.) for the family due to the price hike?
₹1,789
₹1,700
₹1,728
₹1,765
Correct answer
₹1,789
A certain amount of money triples in 8 years under compound interest. How many years will it take for that amount to increase to nine times its original value?
16
19
17
18
Correct answer
16
A milkman bought 50 liters of milk for ₹2000. 5 liters of milk spoiled. At what rate per liter should he sell the remaining milk to make a profit of 20% on his total outlay?
₹53.33 per liter
₹56.24 per liter
₹59.36 per liter
₹52.82 per liter
Correct answer
₹53.33 per liter
A merchant mixes 60 kg of coffee at ₹90 /kg with a dearer variety at ₹120 /kg. He sells the blend at ₹110 /kg and gains 10 % profit.
How many kg of the dearer variety did he add?
30 kg
28 kg
15 kg
17 kg
Correct answer
30 kg
A can complete a job in 36 days.
Every third day, he is assisted by B who can complete the job alone in 48 days. In how many days will the job be completed?
28 days
\( 25 \frac{1}{7} \) days
\( 29 \frac{1}{7} \) days
35 days
Correct answer
28 days
A large ship consumes 0.2 liters of fuel per km, and a smaller ship consumes 0.15 liters per km. If the large ship travels 500 km and the small ship travels 400 km, what is the total fuel cost at a rate of ₹110 per liter?
₹16,500
₹17,600
₹18,000
₹19,200
Correct answer
₹16,500
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.