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Practice Quant Miscellaneous Questions and Answers

The angle of elevation of the top of a building from a point on the ground is 60°. After walking 20 meters towards the building, the angle of elevation be...
In a right triangle, the sides are in the ratio 3:4:5. A circle is inscribed in the triangle. What is the area of the triangle covered by the circle?
A boat can travel at a speed of 15 km/h in still water. If the speed of the current is 3 km/h, how long will it take to travel 24 km upstream?
A person has a total of ₹5000 in the form of ₹10 and ₹5 notes. If the number of ₹10 notes is twice the number of ₹5 notes, how many notes of each...
A company earns ₹3000 from selling 200 units of a product. If the fixed cost is ₹1000 and the variable cost per unit is ₹5, what is the profit or los...
What is the total number of packages delivered in February across all regions, and what percentage does it contribute to the total packages delivered in Ma...
A parallelogram has diagonals of lengths 24 cm and 18 cm. The angle between the diagonals is 60°. Find the area of the parallelogram.
A man invests ₹20,000 in a scheme that offers a 10% simple interest per annum. After how many years will his total amount become ₹30,000?
A bag contains 5 red and 3 green balls. Two balls are drawn at random. Find the probability that both balls are red.
A can complete a task in 24 days, B can complete the same task in 18 days, and C can complete it in 12 days. A and B work together for 4 days, and then C t...
A shopkeeper marks an article 50% above the cost price and then gives two successive discounts of 20% and 10%. What is his overall profit or loss percentag...
A hexagonal prism has a base edge of 6 cm and a height of 10 cm. Find its volume and lateral surface area.
If the total students in E are 30% more than total students in A and the total teachers in E are 40% more than total teachers in C, then find the total tea...
A train travels at 72 km/h and crosses a platform of length 150 meters in 30 seconds. Find the length of the train.
A sum of ₹20,000 is invested at an annual rate of interest of 10%. Calculate the difference between simple interest and compound interest after 3 years. ...
A and B start a business with investments of ₹50,000 and ₹40,000, respectively. After 6 months, C joins with an investment of ₹60,000. At the end of ...
A vessel contains 80 liters of milk. 16 liters of milk are taken out and replaced with water. This process is repeated once more time. Find the quantity of...
A cylindrical water tank has a height of 12 meters and a radius of 3 meters. How many liters of water can the tank hold? (Use π = 3.14 and 1 cubic meter =...
Find the volume of a frustum of a cone with a height of 9 cm, the radius of the upper base as 4 cm, and the radius of the lower base as 6 cm. (Use π = 3.1...
A spherical balloon is being inflated such that its radius is increasing at a rate of 2 cm per second. After 5 seconds, find the volume of the balloon. (Us...
A circle has a radius of 15 cm, and a chord subtends a central angle of 60° at the center. Find the area of the segment formed by the chord.
In an election, 75% of the voters cast their votes. A candidate received 60% of the total votes cast and won by a majority of 300 votes. Find the total num...
If sin A + cos A = 1, what is the value of tan A?
The radius of a circle is 14 cm, and the angle subtended by a sector at the center of the circle is 120°. Find the area of the sector.
A tangent to a circle of radius 5 cm is drawn from a point 13 cm away from the center of the circle. Find the length of the tangent.
The ages of two siblings, John and Mary, are in the ratio of 5:3. Five years ago, the sum of their ages was 38 years. What are their current ages?
Which company had the highest total production for the year?
If sec θ + tan θ = x, what is the value of sec θ in terms of x?
The sum of the ages of a mother and her daughter is 50 years. Four years ago, the mother was five times as old as her daughter. What are their current ages...
A man is standing 30 meters away from the foot of a tree. The angle of elevation from his eyes to the top of the tree is 60 degrees. Find the height of the...
If the total market size is ₹37,500 million, what is the market share value of Company B?
If cos 2θ = 3/4, find the value of sin² θ.
A circle has a radius of 10 cm. If a chord is 12 cm long, find the distance from the center of the circle to the chord.
A solid is made by attaching a hemisphere to the top of a cylinder. The height of the cylindrical part is 14 cm, and the radius is 7 cm. Find the total vol...
Find the area of triangle formed by the points A(1, 2), B(4, 6), and C(5, 2).
In triangle ABC, if a = 8 cm, b = 6 cm, and angle C = 60°, find the length of side c.
From the top of a building, the angle of depression to a point on the ground is 45 degrees. If the building is 50 meters high, how far is the point from th...
If total lakes in X are 25% more than total parks in P and total parks in X are 50% more than total parks in R, then find total parks and lakes in X.
From a point 30 m away from the base of a building, the angle of elevation to the top of the building is 60°. Find the height of the building.
In triangle ABC, if the sides are a = 13 cm, b = 14 cm, and c = 15 cm, find the circumradius (R).

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