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Practice Quant Miscellaneous Questions and Answers

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?
If cos A = 4/5 and A is an acute angle, find the value of 3 tan A + 4 sec A.
A company has two departments, A and B. Department A produces an average of 40 items per day. The production ratio of Department A to Department B is 4:5. ...
A container has 80 liters of a mixture of milk and water, with 60% milk. If 10 liters of water are added, what will be the new percentage of milk in the mi...
A man invested ₹12,000 in a business, and his partner invested ₹15,000. After 8 months, the first partner withdrew half of his investment. If the total...
If 5 sin x - 12 cos x = 0, find the value of tan x.
A cone has a base radius of 7 cm and a slant height of 25 cm. Find the total surface area of the cone.
A tank is filled with 3 inlet pipes and 2 outlet pipes. Inlet pipes A, B, and C can fill the tank in 6 hours, 8 hours, and 12 hours, respectively. Outlets ...
The average age of a group of 5 men is 30 years. If one man aged 35 leaves and a new person joins the group, raising the average age by 1 year, find the ag...
A retailer offers a discount of 20% on a product. If the product’s marked price is ₹500 and the retailer still makes a profit of 12%, find the cost pri...
Two trains are moving in opposite directions at speeds of 72 km/hr and 54 km/hr. If they cross each other in 15 seconds, find the length of the faster trai...
A group of 30 students has an average score of 60 in an exam. If 5 more students join the group and their average score is 70, find the new average score o...
A rectangular field has a length of 120 meters and a width of 80 meters. A pathway 2 meters wide is constructed along the inside edge of the field, all aro...
A sum of money becomes ₹5,600 in 4 years and ₹6,400 in 8 years at simple interest. Find the rate of interest per annum.
A car travels 60 km at a speed of 30 km/hr, then 90 km at a speed of 45 km/hr, and finally 80 km at a speed of 40 km/hr. Find the average speed of the car ...
A man spends 35% of his income on food, 25% on rent, and the remaining amount on other expenses. If he saves ₹9,000, which is 20% of his income, find his...

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