SSC CGL Tier-2 13th September 2019 Maths

If a 10-digit number 5 4 3 2 y 1 7 4 9 x is divisible by 72, then what is the value of (5x - 4y)?

What is the remainder when $$(127^{97} + 97^{97})$$ is divided by 32?

The value of $$\frac{(\sin \theta - \cos \theta)(1 + \tan \theta + \cot \theta)}{1 + \sin \theta \cos \theta} = ?$$

A, B and C spend 80%, 85% and 75% of their incomes, respectively. If their savings are in the ratio 8 : 9 : 20 and the difference between the incomes of A and C is ₹18,000, then the income of B is:

If 25% of half of x is equal to 2.5 times the value of 30% of one-fourth of y. then x is what percent more or less than y?

The value of $$\frac{\sin \theta + \cos \theta - 1}{\sin \theta - \cos \theta + 1} \times \frac{\tan^2 \theta(\cosec^2 \theta -1)}{\sec \theta - \tan \theta}$$ is:

In an examination, A obtained 10% more marks than B, B obtained 20% more marks than C and C obtained 32% less marks than D. If A obtained 272 more marks than C, then the marks obtained by B is:

In quadrilateral $$ABCD, \angle C = 72^\circ$$ and $$\angle D = 28^\circ$$. The bisectors of $$\angle A$$ and $$\angle B$$ meet in O. What is the measure of $$\angle AOB$$?

a, b and c are three fractions such that a < b < c. If c is divided by a, the result is $$\frac{9}{2}$$, which exceeds b by $$\frac{23}{6}$$. The sum of a, b and c is $$\frac{19}{12}$$ , What is the value of (2a + b - c)?

How many kg of salt costing ₹28 per kg must be mixed with 39.6 kg of salt costing ₹16 per kg, so that selling the mixture at ₹29.90, there is a gain of 15%?