SSC GD 1st Dec 2021 Shift-2

A, B and C individually can complete a work in 12, 10 and 15 days, respectively. All three work together and after 3 days, B and C leave the work. The remaining work will be completed by A in:

Two positive numbers are in the ratio 5 : 8. If the sum of their squares is 356, then the sum of the two numbers is:

The average of six positive numbers is 12.5. If the first number is two-thirds of the sum of the last five numbers, then the average of the last five numbers is:

A man completes a journey in 12 h. He travels the first half of the journey at a speed of 21 km/h and the second half at a speed of 24 km/h. Find the total distance of the journey (in km).

At the start of a session, the number of students in grades 6, 7 and 8 in a school was 120, 150 and 130 respectively.
Later on 10 students were admitted in grades 6 and 7 and 10 students were transferred from grade 8. The ratio of the number of students at the start and those at the end of the session, provided no further admission or withdrawal/transfer had taken place, was:

A certain sum amounts to ₹8,571.50 in $$4\frac{1}{2}$$ years at 8.5% p.a. at simple interest. The simple interest on the same sum
will be ₹$$x$$ in $$6\frac{2}{3}$$ years at $$10\frac{1}{2}$$% p.a. What is the value of $$x$$?

A shopkeeper sold 100 pencils at ₹24 for 10 pencils. To earn a profit of 20%, the cost price of one pencil is:

The expression $$0.2 \times 2 + \frac{1}{2} \div 2 \times \frac{5}{2} of 2 - 1.5 + 3 \times \frac{1}{3} \div \frac{2}{3} - \frac{2}{5}$$ on simplification will give the result as:

The value of $$\left[12 \div \left(2 \times 3\right)\right] \div \left[24 \div \left(8 - 5\right)\right]$$ is:

If $$X\%$$ of Y is 100 and $$Y\%$$ of Z is 400, then find the ratio between X and Z.