SSC CGL Tier-2 29th January 2022 Maths
For the following questions answer them individually
If a $$+$$ b $$+$$ c $$=$$ 1 , ab $$+$$ bc $$+$$ ca $$=$$ $$-22$$ and abc $$=$$ $$-40$$ , then what is the value of $$a^{3} + b^{3} + c^{3}$$ ?
The base of right pyramid is an equilateral triangle, each side of which is 20 cm . Each slant edge is 30 cm . The vertical height (in cm ) of the pyramid is:
If the amount obtained by A by investing ₹9,100 for three years at a rate of 10% p.a. on simple interest is equal to the amount obtained by B by investing a certain sum of money for five years at a rate of 8% p.a. on simple interest, then 90% of the sum invested by B (in ₹) is:
The volume of a solid cylinder is 2002 $$cm^{3}$$ and its height is 13 cm. What is the area (in $$cm^{2}$$) of its base?
(Take $$\pi=\frac{22}{7}$$)
If $$\triangle$$ABC , $$\angle B = 78^\circ$$ , AD is a bisector of $$\angle$$ A meeting BC at D. and AE $$\perp$$ BC at E . If $$\angle DAE = 24^\circ$$, then the measure of $$\angle$$ ACB is:
The ratio of the incomes of A and B in the last year was 4 : 3. The ratios of their individual incomes in the last year and the present year are 3 : 4 and 5 : 6, respectively. If their total income in the present year is ₹24.12 lakhs, then the sum of the income (in ₹ lakhs) of A in the last year and that of B in the present year is:
An article was sold for ₹716 after offering a discount of 10.5%. If a discount of 6.5% is given, then for how much (in ₹) should it be sold?
Let $$0^\circ < \theta < 90^\circ . \left(1+\cot^{2}\theta\right) \left(1+\tan^{2}\theta\right) \times \left(\sin\theta - \csc\theta\right)\left(\cos\theta -\sec\theta\right)$$ is equal to:
The volume of a solid hemisphere is 19,404 $$cm^{3}$$ . Its total surface area (in $$cm^{2}$$) is:
(Take $$\pi=\frac{22}{7}$$)
Study the given graph and answer the question that follows.
The average production of fertilisers by country Z in 2017, 2018 and 2020 is what percentage more than the average production of fertilisers by country X in 2018 and 2020?
