SSC CGL 16th August 2021 Shift-3

The value of $$25 \div 15 of 4 \times [4 \div 5 \times (9 - 7)] - (20 \div 5 of 9)$$ is:

If $$p - 2q = 3$$ and $$pq = 5$$, then what is the value of $$(p^3 - 8q^3)$$?

A boat goes 27 km upstream and 33 km downstream in 6 hours. In the same time it can go 36 km upstream and 22 km downstream, How much time will it take to go 36 km upstream and 44 km down stream?

In a circle with centre O, AB and CDare twoparallel chords on the sameside of the diameter. If AB = 12 cm, CD = 18 cm and distance between the chords AB and CD is 3 cm, then find the radius of the circle (in cm).

If $$x^2 + 4y^2 = 53$$ and $$x - 2y = 5$$, then what is the value of $$x^3 - 8y^3$$?

The value of $$4(\sin^4 30^\circ + \cos^4 30^\circ) - 3(\sin^2 45^\circ - 2 \cos^2 45^\circ)$$ is:

Samir and Puneet can complete the same work in 10 days and 15 days respectively. The work was assigned for ₹4500. After working together for 3 days Samir and Puneet involved Ashok. The work was completed in total 5 days. What amount (in ₹) was paid to Ashok?

In $$\triangle ABC, D$$ is the mid-point of side AC and E is a point on side AB such that EC bisects BD at F. If AE = 30 cm, then the length of EB is:

$$\triangle ABC$$ is incribed in a circle with center O, such that $$\angle ACB = 115^\circ$$. O is joined to A. What is the measure of $$\angle OAB$$?

A trader bought twoarticles for ₹490. Hesold one at a loss of 20% and the other at a profit of 16%.If the selling price of both articles is same, then the cost price (in ₹) of the article sold at 20% loss is: