List of practice Questions

Which is the wrong term in the following sequence?
52, 51, 48, 43, 34, 27, 16
When a heap of pebbles is grouped in 32, 40 or 72 it is left with remainders of 10, 18 or 50 respectively. What is the minimum number of pebbles that the heap contains?
Each of the series S1=2+4+6+......... and S2=3+6+9+......... is continued to 100 terms. Find how many terms are identical.
Fill in '+' or '-' sign in between these numbers so that they give the correct answer. \(1\, 2^3\,\,3^3 \, \,1\,\,4^3=31\)
Complete the series 1, 6, 6, 36, 216, .....
128 players start in the men's single at a tennis tournament, where this number reduces to half on every succeeding round. How many matches are played totally in the event?
What year comes next in the sequence 1973, 1979, 1987, 1993, 1997, 1999 ......... ?
A man earns Rs 20 on the first day and spends Rs 15 on the next day. He again earns Rs 20 on the third day and spends Rs 15 on the fourth day. If he continues to save like this, how soon will he have Rs 60 in hand?
A difference between two numbers is 1365, when larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. What is the smaller number?
A boy was asked to multiply a certain number by 53. He multiplied it by 35 and got his answer less than the correct one by 1206. Find number to be multiplied.
What will be the sum of two numbers?
I. Among the two numbers, the bigger number is greater than the smaller number by 6.
II. 40 % of the smaller number is equal to 30 % of the bigger number.
III. The ratio of half of the bigger number to one third of the smaller number is 2 : 1.
Choose the erroneous underlined segment or option 'd' if no error.
(a) in a \(\text{\underline{black heavy}}\) (b) \(\text{\underline{steel trunk }}\)(c) He carried \(\text{\underline{his clothes}}\) 
Choose the erroneous underlined segment or option 'd' if no error.
(a) \(\text{\underline{had been dead}}\) (b) \(\text{\underline{for five days}}\)(c) \(\text{\underline{The corpse}}\) 
6 moles of an ideal gas expand isothermally and reversibly from a volume of 1 litre to a volume of 10 litres at 27?C. What is the maximum work done?
When ideal gas expands in vacuum, the work done by the gas is equal to
Three resistances of values 2$\Omega$, 3$\Omega$ and 6$\Omega$ are to be connected to produce an effective resistance of 4$\Omega$ . This can be done by connecting
The resistance of a field coil measures 50$\Omega$ at 20?C and 65$\Omega$ at 70?C. The temperature coefficient of resistance is
A current of 5A is passing through a metallic wire of cross-sectional area $4\times10^{-6}m^2$ If the density of the charge carriers in the wire is 5 ? $10^{26}m^{-3}$, the drift speed of the electrons will be [e = 1.602 ? $10^{-19}C$]
What is the least value of k such that the function x$^2$ + kx + 1 is strictly increasing on (1,2)
In rolling two fair dice, what is the probability of obtaining a sum greater than 3 but not exceeding 6 ?
if $e^x \, =\, y+ \sqrt{1+y^2},$ then the value of y is
Schottky defect in solids is due to
The magnetic moment of lanthanide ions is determined from which one of the following relation?
The metal that crystallises in simple cubic system is
The electrolyte used in Lechlanche cell is