Quantitative Aptitude PYQs

Sarthak and Mohan are working on alternate days in a workshop. Sarthak can complete the work in 20 days while Mohan can finish in 25 days. Sarthak works on the 1^st day, Mohan on the 2^nd day, and so on. How much time (in days) will they take on alternate basis?

A shopkeeper mixes 15 kg of sugar costing ₹ 11/kg with 22 kg of sugar costing ₹12/kg. What is the cost (in ₹) per kg of the mixture? (Rounded off to 2 decimal places)

A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube is:

A train leaves Hyderabad at 4:00 A.M. and reaches Vijayawada at 8:00 A.M. the same day. Another train leaves Vijayawada at 6:00 A.M. and reaches Hyderabad at 9:30 A.M the same day. At what time do the two trains cross each other?

The following table shows the number of medals won by four boys in different activities.

Who won more medals in swimming than in singing ?

If a car covers 90 km using 4 litres of petrol, how much distance (in km) will it cover using 32 litres of petrol?

The given pie chart displays the number of patients who come to a clinic per week, for treatment under various heads. The total number of patients who come to the clinic is 4060 per week. Study the pie chart and answer the question that follows.

The combined number of patients for the treatment of trauma, dexa and blood works is what percentage (rounded off to 1 decimal place) more or less than the combined number of patients for OPD, X-ray and physiotherapy?

ΔABC and ΔABD are on a common base AB and AC = BD and BC = AD as shown in the given figure.

Which of the following options is true?

A vendor buys 20 pens for ₹15 and sells them at 15 for ₹20. How many pens should be bought and sold to earn a profit of ₹245?

The following bar graph shows the failure rates (in thousands) for different electric

components:

Failure rates of Different Electric Components

How many times is the failure rate of hybrid micro circuits compared to that of signal devices?

A shopkeeper normally makes a profit of 20% in a certain transaction; he weighed 900 gm instead of 1 kg due to an error in the weighing machine. If he charges 15% less than what he normally charges, then what is his actual profit or loss percentage?

In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 12, then what is the dividend?

Two numbers are in the ratio 4 : 5. If 17 is subtracted from each, the new numbers are in the ratio 11 : 14. If 20 is added to each of the original numbers, then the ratio becomes:

If (x + y + z) = 23 and x2 + y2 + z2 = 179, then find the value of (xy + yz + zx).

In what duration (in years) will ₹1,500 amount to ₹2,250 at simple interest 10% per annum?

Which of the following numbers will completely divide 4¹² + 4¹³ + 4¹⁴ + 4¹⁵ ?

If \(x+\frac{1}{x}=7\), find the value of \(x^3+\frac{1}{x^3}\).

The prices of a school bag and a school dress are in the ratio of 8 : 7. The price of the school bag is ₹400 more than the price of the school dress. Find the price of the school dress.

A person mixes two liquids, x and y. One litre of x weighs approximately 900 g, and one litre of y weighs approximately 750 g. If one litre of the mixture weighs approximately 800 g, then the percentage of x in the mixture is:

In a circular race of 2,500 m, Reeta and Geeta start running in the same direction from the same point and at the same time with speeds of 36 km/h and 54 km/h, respectively. After how much time will they meet for the first time on the track?