Question
What is the probability than an ordinary year has 53 Sundays?
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In the figure 2.28 seg PS is the median of ΔPQR and PT ⊥ QR. Prove that,
(1) $PR ^2= PS ^2+ QR \times ST +\left(\frac{ QR }{2}\right)^2$
(2) $PQ ^2= PS ^2- QR \times ST +\left(\frac{ QR }{2}\right)^2$
→(1) $PR ^2= PS ^2+ QR \times ST +\left(\frac{ QR }{2}\right)^2$
(2) $PQ ^2= PS ^2- QR \times ST +\left(\frac{ QR }{2}\right)^2$
Solve the following quadratic equations by factorization:
$a^2x^2 - 3abx + 2b^2 = 0$
→$a^2x^2 - 3abx + 2b^2 = 0$
The following table shows the frequency table of daily wages of 50 workers in a trading company. Find the mean wages of a worker, by assumed mean method.
| Daily Wages (Rs) | 200-240 | 240-280 | 280-320 | 320-360 | 360-400 |
| Frequency (No. of workers) | 5 | 10 | 15 | 12 | 8 |
In an A.P. 19th term is 52 and 38th term is 128, find sum of first 56 terms.
A train covers a distance of $480\ km$ at a uniform speed. If the speed had been 8km/h less then it would have taken $3$ hours more to cover the same distance. Find the usual speed of the train.
→The sum of the digits of a two-digit number is 15. The number obtained by interchanging the digits exceeds the given number by 9. Find the number.
Solve the following systems of equations:
$\frac{2}{\sqrt{\text{x}}}+\frac{3}{\sqrt{\text{y}}}=2,$
$\frac{4}{\sqrt{\text{x}}}-\frac{9}{\sqrt{\text{y}}}=-1.$
→$\frac{2}{\sqrt{\text{x}}}+\frac{3}{\sqrt{\text{y}}}=2,$
$\frac{4}{\sqrt{\text{x}}}-\frac{9}{\sqrt{\text{y}}}=-1.$
Prove the following trigonometric identities.
$\frac{\tan^3\theta}{1+\tan^2\theta}+\frac{\cot^3\theta}{1+\cot^2\theta}=\sec\theta\text{cosec}\theta-2\sin\theta\cos\theta$
→$\frac{\tan^3\theta}{1+\tan^2\theta}+\frac{\cot^3\theta}{1+\cot^2\theta}=\sec\theta\text{cosec}\theta-2\sin\theta\cos\theta$
Solve the following system of equations by the method of cross-multiplication:
→$2ax + 3by = a + 2b,$
$3ax + 2by = 2a + b.$
A man travels by boat $36 \ km$ down a river and back in $8$ hours. If the speed of his boat in still water is $12 \ km/hr,$ find the speed of the river current.
→