The first split in Indian National Congress took place at

Solution
Surat
Ellora caves of Maharashtra were built during the rule of

Solution
Rashtrakuta
The difference between 42% and 28% of a number is 210. What will be 59% of that number?

Solution
Let the number be x.
∴ (42  28)% × x = 210
\(\Rightarrow \frac{14x}{100}= 210\)
\(\Rightarrow \frac{210 \times 100}{14}= 1500\)
∴ 59% of 1500 =\(\frac{1500 \times 59}{100}\)= 885
When 78^{2} is subtracted from the square of a number, the answer is 6460. What is that number?

Solution
x^{2}  78^{2} = 6460
⇒ x^{2}= 6084 + 6460 = 12544
:. x= \(\sqrt{12544}\)= 112
The unit of radioactivity is

Solution
On the name of Madam Curie,the discoverer of radioactivity,its unit is kept  curie.
Which least number should be added to 2600 to make it a perfect square?

Solution
By division method of finding square root
⇒ Thus 1 is to be added to 2600 to make it a perfect square (of 51).
A labourer was engaged for 25 days on the condition that for every day, he works, he will be paid Rs. 2 and for every day, he is absent he will be fined 50 paise. If he receives only Rs. 37.50, find the number of days he was absent.

Solution
Let the labourer be absent for x days.
∴ (25x)×2^{1}⁄_{2}x =37.50
⇒50  2x ^{x}⁄_{2} = 37.50
⇒50^{5x}⁄_{2} = 37.50
⇒^{5x}⁄_{2} = 50  37.50 = 12.5
⇒x=\(\frac{2.5\times 2}{5}=5\)
The quotient in a division sum is 403. The divisor is 100 and the remainder is 58, the dividend is

Solution
Dividend = Divisor × quotient + remainder
= 100 × 403 + 58 = 40358
There are 800 students in a class. On one particular day, if^{1}⁄_{10}th of the students were absent, how many students were present?

Solution
Number of students present=\(\frac{9}{10}\times 800=720\)
A piece of road is one kilometre in length.We have to supply lamp posts. One post at each end, distance between two consecutive lamp posts is 25 metres. The number of lamp posts required is :

Solution
Number of lamp posts
=\(\frac{1000}{25}+1\)=41