SSC CGL Tier l 2023 Question Paper Shift 2 (July 19th)
For the following questions answer them individually
Two circles touch each other externally at P. AB is a direct common tangent to the two circles. If A and B are points of contact and $$\angle PAB = 65^{\circ}$$, then $$\angle ABP$$ is ___________.
Two persons started running on a circular track simultaneously with speeds of 20 m/s and 30 m/s in opposite directions. If the circumference of the circular track is 100 m, then find at how many distinct points they will cross each other?
If $$(a + b + c) = 12$$, and $$(a^{2} + b^{2} + c^{2}) = 50$$, find the value of $$(a^{3} + b^{3} + c^{3} - 3abc)$$.
A saree bought for ₹500 is marked at 16% profit and later on sold at a sales discount of x% on the marked price. If the selling price of the saree is ₹493, find the value of x.
The following pie chart shows the different coloured dresses worn by 60 students in a college party. Study the pie chart and answer the question that follows.
The degrees (central angle) for the blue coloured dress (sector which represents 40%) is:
In a group of 32 students, the average weight was 18.5 kg. When 4 students left the group, the average came down to 15.5 kg. What was the average weight (in kg) of those 4 students?
If $$\sec \theta = \frac{4}{3}$$, what is the value of $$\tan^{2} \theta + \tan^{4} \theta$$?
The wages (in ₹) earned by a labourer in twelve months of a year are shown in the following bar graph.
What is the average wage (in ₹) received by the labourer in the first five months of the year?
Simplify the following expression:
$$\frac{\left(12 + 5 - \frac{48}{16} + 71\right) + \left(\frac{\frac{72}{36}+6\times7}{11}\right) \times \left[\left(51 + 4 - 13 \right) + \left(13 - 12 \times 7\right)\right]}{232}$$
