SSC CGL 13th April 2022 Shift-1
For the following questions answer them individually
A kite flying at a height of 120 m is attached to a string which makes an angle of $$60^{\circ}$$ with the horizontal. What is the length (in m) of the string?
The following histogram shows the marks scored by 40 students in a test of 30 marks. A student has to score a minimum of 10 marks to pass the test.
How many students have passed the test and obtained less than 50% marks?
A, B and C start a business. A invests $$33\frac{1}{3}\%$$ of the total capital, B invests 25% of the remaining and C, the rest. If the total profit at the end of the year is ₹2,19,000, then A's share (in ₹) is:
If the 9-digit number 7$$x$$79251y8 is divisible by 36, What is the value of $$\left(10x^{2} - 3 y^{2}\right)$$ for the largest possible value of y?
What is the value of $$x$$, if
$$5\left(1-\frac{x}{5}\right)- \left(5-x\right) - \frac{1}{200}$$ of $$\left(20-x\right)= 0.08$$?
If 4 men and 6 boys can do a work in 8 days and 6 men and 4 boys can do the same work in 7 days, then how many days will 5 men and 4 boys take to do the same work?
If $$5\sin \theta - 4\cos \theta = 0 , 0^{\circ} < \theta < 90^{\circ}$$ , then the value of $$\frac{5\sin \theta + 2\cos \theta}{5\sin \theta + 3\cos \theta}$$
If $$x + y + z = 18,xyz = 81$$ and $$xy + yz + zx = 90$$ , then the value of $$x^{3} + y^{3} + z^{3} + xyz$$ is:
Chords AB and CD of a circle, when produced, meet at the point P. If AB = 6.3 cm, BP= 4.5 cm, and CD= 3.6 cm, then the length (in cm) of PD is
A shopkeeper allows 28% discount on the marked price of an article and still makes a profit of 20%. If he gains ₹3,080 on the sale of one article, then what is the selling price (in ₹) of the article?
