SSC CGL Tier l 2023 Question Paper Shift 1 (July 14th)

If $$7b - \frac{1}{4b} = 7$$, then what is the value of $$16b^2 + \frac{1}{49b^2}$$?

If $$m\angle C = m \angle Z$$ and $$AC = XZ$$, then which of the following conditions is necessary for $$\triangle ABC$$ and $$\triangle XYZ$$ to be congruent?

In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT = 8 cm, PA = 6 cm and AB = x cm, then the value of x is:

A shopkeeper offers the following two discount schemes.
A) Buy 3 get 4 free
B) Buy 5 get 6 free
Which scheme has the maximum discount percentage?

The following bar chart represents the gross amount (in ₹ lakhs) and total cost (in ₹ lakhs) of a firm.

In order to make a profit of 25%, what should the gross amount have been (in ₹ crores) in 1019-2020 if the total cost remained the same?

In what time will ₹10,000 at 4% per annum, produce the same interest as ₹8,000 does in 4 years at 5% simple interest?

A man, a boy and a woman can finish a work in 10 days, 15 days and 30 days, respectively. In how many days can the work be finished by a man, a woman and a boy when all of them work together?

If $$\cos \theta = \frac{\sqrt{3}}{2}$$, then $$\tan^2 \theta \cos^2 \theta = ?$$

What is the value of $$(3x^3 + 5x^2 y + 12xy^2 + 7y^3)$$, when $$x = - 4$$ and $$y = - 1 ?$$

If the four numbers, 39, 117, 17 and y are in proportion, then find the value of y.