SSC CGL 21st April 2022 Shift-3
For the following questions answer them individually
If $$\sec^{2} \alpha + 4\cos^{2} \alpha = 4$$ and $$0^{\circ} \leq \alpha \leq 90^{\circ}$$, then find the value of $$\alpha$$
If 35 men can finish a work in 6 days, then in how many days can 7 men do half of the same work?
Monthly expenditure of a family on different heads is shown in the following pie chart. The family earns ₹1,08,000 every month.
What is the amount spent on Rent every month (in ₹)?
In a circle with centre O, PQ and QR are two chords such that $$\angle PQR = 118^{\circ}$$. What is the measure of $$\angle$$ OPR?
A 22.5 m high tent is in the shape of a frustum of a cone surmounted by a hemisphere. If the diameters of the upper and the lower circular ends of the frustum are 21 m and 39 m, respectively, then find the area of the cloth (in $$m^{2}$$) used to make the tent (ignoring the wastage).
(Use $$\pi = \frac{22}{7}$$)
A 240-m long train crosses a 360-m long tunnel in 30 seconds. What is th e speed of the train (in km/h)?
Ankita's weight is 20% less than that of her grandmother. The grandmother weight 26 kg less than grandmother's husband, whose weight is 81 kg. If Ankita's brother is 8 kg heavier than Ankita, then what is the weight (in kg) of Anikita's brother?
AB is a chord of a circle with centre O. C is a point on the circle in the minor sector. If $$\angle ABO= 50^{\circ}$$, then what is the degree measure of $$\angle$$ ACB?
In a triangle ABC, points P and Q are on AB and AC, respectively, such that AP= 4 cm, PB = 6 cm, AQ = 5 cm and QC = 7.5 cm. If PQ = 6 cm, then find BC (in cm).
A reduction of 15% in the price of wheat enables a housewife to buy 6 kg more for ₹2,720. The reduced price of wheat per kg (in ₹) is:
