The wheel of a scooter has a diameter of 70 cm. The number revolution it must make to maintain a speed of 33 km/hour is
The distance covered by the wheel in one m = 33 x 1000 x 100/60 = 55000
The distance covered by the wheel in one revolution
= The circumference of the wheel = 2πr
= 2 x 22/7 x 70/2 = 220cm
∴ Number of revolutions of the wheel = 55000/220 = 250
The difference between the simple interest and the Conpound Interest compounded annually at the rate of 12% p.a. on Rs 5000 for 2 yrs will be
CI_{2}  SI_{2} = P . R^{2} / (100)^{2}
= 5000 x 144/10000 = Rs 72
sin α = x/y , cos α = a/b , cot α =
Solution of the equation
Momentum (p) is equal to
What is the value of gravitational constant G on the moon?
If α and β are the roots of the quadratic equation 3 x^{2} + 8 x + 2 = 0, then α^{3} + β^{3} =
α + β = − 8/3 ; α β = 2/3
use : α^{3} + β^{3} = (α +β)^{3} − 3αβ (α + β)
If + means ×, ÷ means , × means ÷ and  means +
what will be the value of 4 + 11 ÷ 5  55 = ?
Given expression : = 4 × 11  5 + 55 = 44  5 + 55 = 94
If a number is divisible by both 11 and 13,then it must be necessarily
Salary of a person is increased 5%. If his new salary is Rs. 252, what was his first salary?
First salary = 252 x 100/100 + 5 = 252 x 100/105 = 240
Evaluate {93  5  54 ÷ 10}/{ 3(5)  2 × 4 ÷ 2}
(use BODMAS rule)
The weighted mean of first n natural numbers, whose weights are equal to the squares of corresponding numbers, is
The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?
Total distance travelled in 12 hours
= (35 + 37+ 39 +.....upto 12 terms)
This is an A. P with first term, a = 35, number of terms, n = 12, d = 2
Required distance = 12/2 [2 x 35 + (12  1) x 2] = 6 (70 + 22) = 552 kms.
The radius of the cylinder is half its height and area of the inner part is 616 sq. cms. Approximately how many litres of milk can it contain?
Let height of the cylinder = h cm, then radius = r = h 2 cm
Now 2π rh + πr^{2} = 616 cm^{2}
∴ 2π x h/2 x h + π x 1/4 h^{2} = 616
⇒ h^{2} = 28 x 28/5
Now, Volume of cylinder = πr^{2}h = π x 1/4h^{2} x h
An object of mass 10 kg is lifted vertically to a height of 4 m above the ground. If acceleration due to gravity is 10 m/s^{2}, what is the work done?
Bigtime Consulting Group had 59 employees on its rolls at its India office. Of these 59 employees, 4 were born to billionair fathers. Others belonged to a middle or upper middle class families and graduated from one of the IITs and or IIMs. With the exception of the 4 who were born to billionaire fathers, others decided to save some money out of their respectable pay packet. They had 3 options. Option A was to invest in the ELSS scheme of Templeton Fund. Option B was to invest in the ULIP plan of ICICI Prudential and option C was to invest in National Savings Certificate (NSC). All those who decided to save money decided to save the same amount of money and investment in at least one of the three options. At the end of the year, while computing tax returns, the office chartered accountant remembered the following facts.
(i) 7 of them used all three options.
(ii) The number of those who saved in National Savings and Templeton but not in ICICI Prudential was the same as those who decided not to save.
(iii) More people opted for National Savings Certificate than the other two options.
(iv) Number of investors in Templeton fund was the least.
(v) It was also known that the sum of the numbers of those who invested only in Templeton Fund and only in ICICI Pru was the same as those who invested only in National Savings Certificate.
(vi) One half of all those who invested in National Savings alone.
(vii) 25 of the employees invested in more than one option.
Q. What is the least number of people who would have invested in ICICI and NSC but not in Templeton?
Bigtime Consulting Group had 59 employees on its rolls at its India office. Of these 59 employees, 4 were born to billionair fathers. Others belonged to a middle or upper middle class families and graduated from one of the IITs and or IIMs. With the exception of the 4 who were born to billionaire fathers, others decided to save some money out of their respectable pay packet. They had 3 options. Option A was to invest in the ELSS scheme of Templeton Fund. Option B was to invest in the ULIP plan of ICICI Prudential and option C was to invest in National Savings Certificate (NSC). All those who decided to save money decided to save the same amount of money and investment in at least one of the three options. At the end of the year, while computing tax returns, the office chartered accountant remembered the following facts.
(i) 7 of them used all three options.
(ii) The number of those who saved in National Savings and Templeton but not in ICICI Prudential was the same as those who decided not to save.
(iii) More people opted for National Savings Certificate than the other two options.
(iv) Number of investors in Templeton fund was the least.
(v) It was also known that the sum of the numbers of those who invested only in Templeton Fund and only in ICICI Pru was the same as those who invested only in National Savings Certificate.
(vi) One half of all those who invested in National Savings alone.
(vii) 25 of the employees invested in more than one option.
Q. How many more people invested only in ICICI than those who invested only in Templeton?
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