SSC CGL 17th August 2021 Shift-1
For the following questions answer them individually
In $$\triangle ABC, D$$ and E are the points on sides AB and AC, respectively and $$DE \parallel BC$$. BC = 8 cm and DE = 5 cm. If the area of $$\triangle ADE = 45 cm^2$$, then what is the area (in cm$$^2$$) of $$\triangle ABC$$?
A $$\triangle ABC$$ has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.
Two men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same workin 11 days. In how many days can 7 men complete the same work?
Ina triangle ABC,a point D lies on AB and points E andF lie on BC suchthat DF is parallel to AC and DE is parallel to AF. If BE = 4 cm, EF = 6cm, then find the length (in cm) of BC.
The value of $$32 \div 12 of 3 \times [5 - (15 - 12) \div 9] of \frac{3}{7} + 4 - 8 \div 2 of 4$$ is:
A certain number of students from school X appeared in an examination and 20% students failed. From school Y, 130% more students than that from school X, appeared in the same examination. If 90% of the total number of students appeared from from both the schools passed, then what is the percentage of students from school Y whofailed (correct to one decimal place)?
The table shows the daily income (in ₹) of 50 persons.
How many persons earn ₹200 or more but less than ₹300?
Asum of ₹ 31866 is divided between A, B and C such that the ratio of shares of A and B is 9 : 8 and that of A and C is 4 : 5, The share (in ₹) of B is:
Find the value of $$\frac{3}{4} \cot^2 30^\circ + \cos^2 30^\circ - 3\cosec^2 60^\circ + \tan^2 60^\circ$$
Acertain sum becomes ₹13650 at 15% p.a. simple interest after 2 years. What will be the amount(in ₹) of the same sum after 1 year at the same rate of interest, if the interest is compounded half yearly? (nearest to a ₹)
