List of practice Questions

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.
A certain number of students are standing in a line. One student says, ``There are 17 students ahead of me and 18 students behind me.'' How many students are there in the line?
Choose the correct meaning of the idiom ``To steal someone’s thunder'':
Which international organization publishes the ``World Economic Outlook'' report?
If the ratio of the sum of the first \( n \) natural numbers to the sum of their squares is \( 3 : 7 \), then \( n \) is:
Six people A, B, C, D, E and F are sitting in two rows of three each.
A is not adjacent to B.
C sits opposite D.
E is to the immediate left of A.
Who sits opposite B?
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:
Choose the word that best fits the blank:
The manager's apology was seen as a _________ attempt to pacify the angry employees.
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:
Pointing to a photograph, Ramesh says, ``She is the daughter of the only son of my grandfather.'' How is the woman related to Ramesh?
If all ZEBRAs are ANIMALs and some ANIMALs are PETs, which of the following is definitely true?
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.
A manufacturer reckons that the value of a machine, which costs him Rs. 15625, will depreciate each year by 20%. Find the estimated value at the end of 5 years.
150 workers were engaged to finish a job in a certain number of days. 4 workers dropped out on second day, 4 more workers dropped out on third day and so on. It took 8 more days to finish the work. Find the number of days in which the work was completed.
Draw a quadrilateral in the Cartesian plane, whose vertices are (-4, 5), (0, 7), (5, -5) and (-4, -2). Also, find its area.
The base of an equilateral triangle with side 2a lies along they y-axis such that the mid point of the base is at the origin.Find vertices of the triangle.