List of practice Questions

Two adjacent faces of a cube are coloured and cut into 64 identical small cubes. How many of these small cubes are not coloured at all?
M, N, O, P, X, Y, and Z are sitting around a circle facing the centre. Z is second to the left of O, who is to the immediate left of Y. M is third to the left of X. N is between P and X. Which of the following option is true?
Seven soldiers are standing in a row facing North. B is standing left to C but right to A. F is standing right to G and left to A. Similarly, D is standing right to C and left to E. Who are sitting between A and D?
A room cooler is marked for ₹ 13,500 and is available at an off-season discount of 15%. The shopkeeper offers another discount to his friend and sells the cooler for ₹ 10,557. The percentage of second discount given to his friend is:
If 16% of 250 + 115% of 480 = 10% of N, then what is the value of N?
A piece of work can be done by Ram in 10 days. If Mohan joined him and both together finished the work in 6 days, then the ratio of their one day work is:
A shopkeeper sold an item for ₹ 528 and suffered a loss of 4%. In order to get 10% profit, for how much should he have sold the item?
A sum of money becomes double in R years at an annual rate of simple interest. What is the annual rate of interest?
A milkman has 3 vessels containing 67 litres, 139 litres, and 187 litres, respectively, of pure milk. A measuring jar, after a different number of exact measurements of milk in each vessel, leaves the same amount of milk unmeasured in each vessel. What is the volume of the largest such jar?
A boat can go three-quarter of a kilometer upstream in 11 minutes 15 seconds and also cover the same distance downstream in 7 minutes 30 seconds. The speed of the boat in still water is:
The incomes of A and B are in the ratio 9:4 and their expenditures are in the ratio 7:3. If A saves 30% of his income, then the ratio of their savings is:
Jayant gave 20% of his savings to his elder son, 30% of the rest to his younger son and 10% of the still remaining as donation to a trust. He is left with ₹ 5040. Find his total savings.
The average age of 6 sons of a family is 8 years. The average age of the sons together with their parents is 22 years. If the father is 8 years older than the mother, then the age of the father (in years) is:
Two mixtures A and B contain milk and water in the ratio 4:5 and 7:4, respectively. In what ratio should the two mixtures be mixed to obtain a new mixture having 55% milk?
A starts a business with ₹ 42,000 and is joined afterwards by B with ₹ 72,000. After how many months did B join if the profits at the end of the year are divided equally?
The L.C.M. of 33, 54, 108, 165, and 198 is:
A dishonest shopkeeper professes to sell grains with only 4% profit, but uses a faulty weight and gives only 800 gm in place of 1 kg. The actual profit percentage of the shopkeeper is:
Three partners A, B, and C started a business. Twice A's investment is equal to thrice B's investment and B's investment is four times C's investment. Out of a total profit of ₹ 49500 at the end of the year, B's share in the profit is:
In a certain election, 92% of the total voters cast their votes and the winning candidate got elected with 75% of the votes polled. What percent of the number of total votes did he get?
Out of four numbers whose average is 75, the first number is one-fourth of the sum of the last three numbers. The first number is:
Evaluate the following expression: \[ \frac{0.963 \times 0.963 - 0.963 \times 0.037 + 0.037 \times 0.037}{0.963 \times 0.963 \times 0.963 + 0.037 \times 0.037 \times 0.037} \]
If \( a^3 + b^3 = c^3 \), then \( (a + b - c)^3 + 27abc \) is equal to:
The number 325325 is divisible by:
The single digit value of \( k \) satisfying the algebraic relation \( k + 1k + 2k + 4k + k^2 = 19k \), is:
If the sum of two numbers is 12 and their difference is 8, then the product of the two numbers is: