Practice Quant Miscellaneous Questions and Answers

• 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).
• Find the distance between points A(2, 3) and B(7, 8).
• A trapezoid has bases of lengths 10 cm and 20 cm and an area of 180 cm². Find the height of the trapezoid.
• A can complete a work in 20 days, B can complete it in 25 days, and C can complete it in 30 days. If all three work together, how long will it take to fini...
• Find the area of a figure consisting of a rectangle with length 8 cm and width 5 cm, and a semicircle with a diameter equal to the width of the rectangle. ...
• The total teachers in D are what percent less than the total teachers in B and C together?