Quantitative Aptitude PYQs

Darjeeling gets tourists from two countries A and B. Percentage wise distribution of the influx of tourists is given below for the first six months of the year.

Find the ratio of tourists from country A coming in during March and April.

Rajesh invested Rs. 10,000 by dividing it into two different investment schemes, A and B, at simple interest rates of 8% and 10%, respectively. If the total interest earned in 2 years is Rs. 1,680, the amount invested in scheme A is:  

Two circles of radius 13 cm and 15 cm intersect each other at points A and B. If the length of the common chord is 12 cm, then what is the distance between their centres?

The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 ∶ 7, the larger of the two numbers is _______.  

The radii of the ends of a frustum of a solid right-circular cone 45 cm high are 28 cm and 7 cm. If this frustum is melted and reconstructed into a solid right circular cylinder whose radius of base and height are in the ratio 3 ∶ 5, find the curved surface area (in cm²) of this cylinder. [Usе π = \(\frac{22}{7}\)]

If cos θ - sin θ = √2 sin θ, then (cos θ + sin θ) is:

What is the area of a triangle whose sides are of lengths 12 cm, 13 cm and 5 cm? 

A number is first increased by 10% and then increased by 20%. The number, so obtained, is now decreased by 12%. What is the net increase or decrease per cent in the original number?  

If sin θ + cosec θ = 2,then the value of sin⁵θ + cosec⁵θ is: ( 0°≤ θ ≤ 90°)

What is the central angle corresponding to the expenditure spent on Education in the given figure?

An item with a marked price of Rs. 3,800 was sold for Rs. 3,496, after a discount of y% was offered. What was the value of y?  

If \(\frac{x}{y}+\frac{y}{x}=1 \) and \( x+y=2 \), then the value of \( x^3+y^3 \) is:

A, B and C can do a piece of work in 20 days, 30 days and 60 days respectively. If A works daily and on every third day B and C also work with A, then in how many days, will the work be completed?  

If a + b = 10 and ab = 6, then the value of a³ + b³ is:

A person crosses a 900-metre long street in 6 minutes. The speed of the person, in km/h, is:  

Two numbers are in the ratio 3 ∶ 4. The product of their HCF and LCM is 2700. The sum of the numbers is:  

A dishonest dealer announces selling his articles with 22% loss, but uses 35% lighter weights. What is the percentage of his profit or loss?  

The radii of two cylinders are in the ratio of 4 ∶ 5 and their heights are in the ratio of 5 ∶ 2. The ratio of their volume is:

Find the value of (tan² θ + tan⁴ θ).

If the price of the item is increased by 70% and then allows a scheme discount of 5% and 20% on this marked price. If price is paid in cash and an additional discount of 20% is allowed, then what is his gain percentage?