SSC CGL Tier-2 29th January 2022 Maths
For the following questions answer them individually
If a, b and c are positive numbers such that $$\left(a^{2}+b^{2}\right):\left(b^{2}+c^{2}\right):\left(c^{2}+a^{2}\right)=34:61:45$$, then b$$-$$a : c$$-$$b : c$$-$$a =_______.
Study the given pie charts and answer the question that follows.
Total number of students appeared = 1200
Total number of students passed = 900
The number of students who passed the examination from institute D exceeds the number of students who appeared from institute A is x. The value of x lies between:
A trader gains 25% by selling an article with 20% discount on its marked price. If the cost price of the article increases by 30%, then how much discount (in %) should he offer on the same marked price to gain 15% of profit?
A discount of 10% is offered on the price of an article if the payment is made online. An additional discount of 5% is given to credit card holders. A person wishes to buy a watch priced at ₹60,000 by paying online through credit card. How much does he need to pay (in ₹)?
$$\frac{\left(1+\sec\theta\csc\theta\right)^{2}\left(\sec\theta-\tan\theta\right)^{2}\left(1+\sin\theta\right)}{\left(\sin\theta\sec\theta\right)^{2}+\left(\cos\theta\csc\theta\right)^{2}}, 0^\circ < \theta < 90^\circ$$ is equal to:
Alloy A contains metals x and y only in the ratio 5 : 2, while alloy B contains them in the ratio 3 : 4. Alloy C is prepared by mixing alloys A and B in the ratio 4 : 5. The percentage of x in alloy C is:
If a 10-digit number 75462A97B6 is divisible by 72, then the value of
$$\sqrt{8A - 4B}$$ is:
A, B and C invested their capitals in the ratio 2 : 3 : 5. The ratio of months for which they invested is 4 : 2 : 3, respectively. If the difference between the profit shares of A and B is ₹1,86,000, then C's share of profit (in ₹) is:
The valu of $$\frac{1}{4}+\frac{\left[\left(20.35\right)^{2}-\left(8.35\right)^{2}\right]\times0.0175}{\left(1.05\right)^{2}+\left(1.05\right)\left(27.65\right)}$$ is:
A started a business with a capital of ₹54,000 and admitted B and C after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio 1 : 4 : 5. What is the sum (in ₹) of the capitals invested by B and C?
