List of practice Questions

In which of the following is a concave mirror NOT used?
In Kendriya Vidyalaya (K.V.), Ujjain, 20% students are athletes. In Navodaya Vidyalaya (N.V.), Ujjain, 25% students are athletes. If N.V. has 60% more students than K.V., then the number of athletes in N.V. is what percent of athletes in K.V.?
85 litres of a mixture contain milk and water in the ratio 27:7. How much water is required to be added so that the resulting mixture contains milk and water in the ratio 3:1?
Find the value of:
\[ \frac{5}{2^2 \cdot 3^2} + \frac{7}{3^2 \cdot 4^2} + \frac{9}{4^2 \cdot 5^2} + \frac{11}{5^2 \cdot 6^2} + \frac{13}{6^2 \cdot 7^2} + \frac{15}{7^2 \cdot 8^2} \]
The following table provides information about the number of cars sold by four dealers P, Q, R and S.
Total number of cars sold by P during February to June is what percent more than the total number of cars sold by all dealers in June?
If \[ A + \frac{1}{B + \frac{1}{C - 9}} = \frac{29}{5} \] then find the value of \( A + B + C \).
If the height and radius of a right circular cylinder are equal and its volume is $\dfrac{176}{7}\,\text{cm}^3$, find the diameter of the cylinder.
A person buys two watches for Rs.1000 in total. He sells one watch at a loss of 5% and the other at a gain of 20%. On the whole, he gains Rs.50. Find the cost prices of the two watches.
Even after reducing the marked price by Rs.32, a shopkeeper makes a profit of 15%. If the cost price (C.P.) is Rs.320, what would be the percentage profit if the item is sold at the marked price?
Four coins are tossed. What is the probability that two consecutive heads never occur together?
Calculate the value of:
\[ \frac{\sqrt{\sqrt{5}+2} + \sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}} \]
Consider the following statements:
A) There exists a smallest natural number.
B) There exists a largest natural number.
C) Every rational number is also a real number.
D) Between two consecutive natural numbers, there is always a natural number.
Four electronic devices make a beep after every 30 minutes, 1 hour, 1.5 hours and 1 hour 45 minutes respectively. All beeped together at 12 noon. At what time will they again beep together?
Sudhir purchased a chair with 3 successive discounts of 20%, 12.5% and 5%. Find the equivalent single discount.
Choose the correct meaning of the idiom ``To steal someone’s thunder'':
Which international organization publishes the ``World Economic Outlook'' report?
The number of distinct arrangements of the letters of the word STATISTICS is:
The ratio of the speed of a boat in still water to the speed of the stream is 5:2. If the boat goes 14 km downstream in the same time as it goes 6 km upstream, the speed of the boat in still water is:
The doctrine of ``Separation of Powers'' in the Indian Constitution is borrowed from:
A train covers a certain distance at 60 km/h and returns at 40 km/h. The average speed for the entire journey is:
A sum of money becomes 4 times itself in 20 years at compound interest. In how many years will it become 16 times itself at the same rate?
The number of 4-digit numbers formed using digits 1, 2, 3, 4, 5, 6 without repetition and divisible by 4 is:
Shamshad Ali buys a scooter for Rs 22000. He pays Rs 4000 cash and agrees to pay the balance in annual instalment of Rs 1000 plus 10% interest on the unpaid amount. How much will the scooter cost him?
A person writes a letter to four of his friends. He asks each one of them to copy the letter and mail to four different persons with instruction that they move the chain similarly. Assuming that the chain is not broken and that it costs 50 paise to mail one letter. Find the amount spent on the postage when 8th set of letter is mailed.
A man deposited Rs 10000 in a bank at the rate of 5% simple interest annually. Find the amount in 15th year since he deposited the amount and also calculate the total amount after 20 years.