List of top Quantitative Aptitude Questions

According to the estimates of the World Inequality Report 2022, in India, men earn 82 percent of the labour income, whereas women earn 18 percent of it. A woman agriculture field labourer makes Rs. 88 per day lesser than her male counterpart, according to the Ministry of Agriculture’s data for 2020-21. While a man is paid Rs. 383 a day on an average, a woman makes a mere Rs. 294 a day. The gap in their daily wages is more than the cost of two kilograms of rice. This gap differs from State to State. Field laborers, for instance, make the most money in Kerala. While a man gets Rs. 789 per day, a woman is paid Rs. 537. While this is the highest amount paid to a woman labourer in a State, it is also Rs. 252 lesser than what her male counterpart was paid. As of 2020-21, Tamil Nadu has the highest gender wage gap among agriculture field laborers at 112 percent. It is followed by Goa (61 percent) and Kerala. The wage gap is the lowest in Jharkhand and Gujarat (6 percent each), but the women laborers there get paid just Rs. 239 and Rs. 247 per day, respectively.
Men earn more than women across all forms of work, the gap greatest for the self-employed. In 2023, male self-employed workers earned 2.8 times that of women. In contrast, male regular wage workers earned 24% more than women and male casual workers earned 48% more. The gender gap in earnings is still a persistent phenomenon. However, there are differences in trends. The gender gap has increased for self-employed workers, while falling for regular wage workers. Male regular wage workers earned 34% more than women from 2019 to 2022, with the gap falling to 24% in 2023.

Mr. Das is working in a construction company. He has a family, including his wife and a daughter. His total monthly income includes a salary of Rs. 9228/- and a 10% house rent allowance. Due to increasing inflation, he is keeping a home budget that accounts for the income and expenses of the household. Out of his total monthly income, he spends 25% on food expenses, 18% on paying the house-rent, 9% on entertainment, 23% on the education of his child, 13% on medical expenses, and he saves 12% of his total monthly income.
Based on the above information, answer the following questions.

The sum of all real values of $k$ for which $(\frac{1}{8})^k \times (\frac{1}{32768})^{\frac{4}{3}} = \frac{1}{8} \times (\frac{1}{32768})^{\frac{k}{3}}$ is

Amal and Vimal together can complete a task in 150 days, while Vimal and Sunil together can complete the same task in 100 days. Amal starts working on the task and works for 75 days, then Vimal takes over and works for 135 days. Finally, Sunil takes over and completes the remaining task in 45 days. If Amal had started the task alone and worked on all days, Vimal had worked on every second day, and Sunil had worked on every third day, then the number of days required to complete the task would have been

Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is

Sam can complete a job in 20 days when working alone. Mohit is twice as fast as Sam and thrice as fast as Ayana in the same job. They undertake a job with an arrangement where Sam and Mohit work together on the first day, Sam and Ayana on the second day, Mohit and Ayana on the third day, and this three-day pattern is repeated till the work gets completed. Then, the fraction of total work done by Sam is

The number of all positive integers up to 500 with non-repeating digits is

A certain amount of water was poured into a 300 litre container and the remaining portion of the container was filled with milk. Then an amount of this solution was taken out from the container which was twice the volume of water that was earlier poured into it, and water was poured to refill the container again. If the resulting solution contains 72% milk, then the amount of water, in litres, that was initially poured into the container was

Consider the sequence\( t_1 = 1, t_2 = -1 and  t_n = \left( \frac{n-3}{n-1} \right) t_{n-2} for n \ge 3. \)Then, the value of the sum  \(\frac{1}{t_2}\) + \(\frac{1}{t_4}\) + \(\frac{1}{t_6}\) + ……. + \(\frac{1}{t_{2022}}\) + \(\frac{1}{t_{2024}}\), is

The number of distinct integer solutions (x, y) of the equation |x + y| + |x - y| = 2, is

Aman invests Rs 4000 in a bank at a certain rate of interest, compounded annually.If the ratio of the value of the investment after 3 years to the value of the investment after 5 years is 25 : 36, then the minimum number of years required for the value of the investment to exceed Rs 20000 is

The number of distinct real values of x, satisfying the equation max{x, 2} - min{x, 2} = |x + 2| - |x - 2|, is

A circular plot of land is divided into two regions by a chord of length $10\sqrt{3}$ meters such that the chord subtends an angle of $120^\circ$ at the center. Then, the area, in square meters, of the smaller region is

ABCD is a trapezium in which AB is parallel to CD. The sides AD and BC when extended, intersect at point E. If AB = 2 cm, CD = 1 cm, and perimeter of ABCD is 6 cm, then the perimeter, in cm, of ∆AEB is

A company has 40 employees whose names are listed in a certain order. In the year 2022, the average bonus of the first 30 employees was Rs. 40000, of the last 30 employees was Rs. 60000, and of the first 10 and last 10 employees together was Rs. 50000. Next year, the average bonus of the first 10 employees increased by 100%, of the last 10 employees increased by 200% and of the remaining employees was unchanged. Then, the average bonus, in rupees, of all the 40 employees together in the year 2023 was

When Rajesh's age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima's age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima will become

Anil invests Rs 22000 for 6 years in a scheme with 4% interest per annum, compounded half-yearly. Separately, Sunil invests a certain amount in the same scheme for 5 years, and then reinvests the entire amount he receives at the end of 5 years, for one year at 10% simple interest. If the amounts received by both at the end of 6 years are equal, then the initial investment, in rupees, made by Sunil is

The coordinates of the three vertices of a triangle are: (1, 2), (7, 2), and (1, 10). Then the radius of the incircle of the triangle is

There are four numbers such that average of first two numbers is 1 more than the first number, average of first three numbers is 2 more than average of first two numbers, and average of first four numbers is 3 more than average of first three numbers. Then, the difference between the largest and the smallest numbers, is

X is a +ve real no, 4 log₁₀ (x) + 4log ₁₀₀ (x) + 8 log₁₀₀₀ (x) = 13, then the greatest integer not exceeding 'x'

The midpoints of sides AB, BC, and AC in ∆ABC are M, N, and P, respectively. The medians drawn from A, B, and C intersect the line segments MP, MN and NP at X, Y, and Z, respectively. If the area of ∆ABC is 1440 sq cm, then the area, in sq cm, of ∆XYZ is

In a group of 250 students, the percentage of girls was at least 44% and at most 60%. The rest of the students were boys. Each student opted for either swimming or running or both. If 50% of the boys and 80% of the girls opted for swimming while 70% of the boys and 60% of the girls opted for running, then the minimum and maximum possible number of students who opted for both swimming and running, are

For some constant real numbers p, k and a, consider the following system of linear equations in  x  and  y: 
px - 4y = 2 
3x + ky = a 
A necessary condition for the system to have no solution for  (x, y), is

A regular octagon ABCDEFGH has sides of length 6 cm each. Then the area, in sq. cm, of the square ACEG is

The sum of all distinct real values of x that satisfy the equation \(10^x + \frac{4}{10^x} = \frac{81}{2}\)  is