SSC-CGL Solved Paper Jun 4, 2018, Shift 2

$\displaystyle \bigg(\frac{\sin \theta - 2\sin^3 \theta}{2\cos^3 \theta - \cos \theta}\bigg)^2 + 1 = ?$

Raju's income is 20% more than his expenditure. If his income increases by 60% and his expenditure increase by 70%, then what percentage of the . . .

The ratio of competencies A, B and C is 4: 5: 3. On working together, all three of them complete work in 25 days. In how many days will both A and C . . .

Renu bought an item for 1,240 and sold it at a loss of 25%. With that amount, she bought another item and sold it for 40% profit. What percentage of . . .

The nominal value of an article is 315. It is sold in 288. If this leads to a loss of 4%, then what percentage of the item was marked more than the . . .

A takes 30 minutes longer than B to cover a distance of 15 km at a certain speed. However, if A doubles his speed, he covers the same distance in an . . .

The average weight of some students in a class is 68.5 kg. If four new students of 72.2 kg, 70.8 kg, 70.3 kg, 66.7 kg are enrolled in the class, the . . .

If x is subtracted from each of 23, 39, 32 and 56, then the numbers obtained in this sequence are in proportion. What will be the mean proportional . . .

A circle inside a triangle ABC, whose center O is created. On increasing AO, it meets the circle [or triangle] on K and AD ⊥BC. If ∠B = 80° and . . .

In ΔABC, AD ⊥ BC and BE ⊥ AC. AD and BE cut each other at F. If BF = AC, what will be the measure of ∠ABD?

Circles of radius 10 cm and 8 cm cut each other at points P and Q. PQ = 12 cm and the distance between the centers of the circle is x cm, then the v . . .

ΔABC is similar to ΔDEF. The area of ∆ABC is 100 sq. cm and the area of ∆DEF is 49 sq. cm. If ΔABC's altitude is 5 cm, then ΔDEF will have corre . . .

If θ is acute and cos^2 θ = 3 (cot^2 θ - cos^2 θ), then the value of (trigonometric expression) is?

In ΔABC, AD ⊥ BC and BE ⊥ AC. AD and BE cut each other at F. If BF = AC, what will be the measure of ∠ABD?