SSC MTS 2022 Question Paper Shift 1 (July 15th)
For the following questions answer them individually
The difference between the compound interest and the simple interest on a certain sum of money at 10% per annum for 2 years is ₹200. What is the sum of money, if in the case of compound interest, interest is compounded annually?
$$P=2^{5} \times 3^{8}$$ and $$Q= 2^{3} \times 3^{K}$$ . If the highest common factor of P and Q is $$2^{3} \times 3^{3}$$ , then what is the value of K?
The following bar graph shows the percentage of students from five different colleges who are selected for a maths quiz.
The ratio of the number of students in colleges P, Q, R, S and T is 2 : 4 : 3 : 1 : 3, respectively. If 25 students are selected from college P, then what is the total number of students selected for the quiz?
A bus can travel 20% faster than a scooter. Both start from point P at the same time, and reach point Q, 60 km away from point P, at the same time. On the way, however, the bus lost about 10 minutes while stopping at bus stations, while the scooter did not stop anywhere. What is the speed of the bus?
15% of the marked price of an item is equal to 25% of its cost price. If a discount of 25% is given on the sale of the item, then what will be the profit percentage?
In an election between 2 candidates, the winning candidate gets 2940 valid votes, while the losing candidate gets 40% of the valid votes. If 2% of the votes polled were declared invalid, then what is the total number of votes polled?
What is the height of a cylinder whose radius of the base is 12 cm and volume is 19008 $$cm^{3}$$? [Use $$\pi = \frac{22}{7}$$]
When 8 is added to the numerator of a fraction and 12 is added to its denominator, the fraction becomes $$\frac{1}{2}$$. When 2 is subtracted from its numerator and denominator, the fraction becomes $$\frac{1}{8}$$. Find the original fraction.
If on a certain sum, the simple interest for 4 years is ₹2,000, then what is the simple interest for 6 years on the same sum?
P is increased successively by 15% and 20% to get Q. If P = 200, then what is the value of Q?
