SSC MTS 2022 Question Paper Shift 2 (July 8th)

The length of the conuuon chord of two circles of radii 18 cm and 16 cm is 19 .2 cm. What is the distance between the centres of the two circles? [Give your answer correct to the nearest integer value.]

Study the given table and answer the question that follows.
The table below shows the number of cricket bats made by five workers on six days of a particular week.

In how many days is the number of bats made by C more than the average number of bats made by A per day?

The length and breadth of rectangular cardboard are 40 cm and 35 cm, respectively. If the biggest possible square is cut out from this cardboard, what is the area of the remaining part of the cardboard?

If the HCF of two numbers (each greater than 17) is 17 and the LCM is 561, then find the sum of the numbers.

Shubham bought a book from Meesho at ₹500. Meesho also charged an additional ₹25 for packaging and ₹50 for delivering the book. For what amount should Shubham sell his book to make a profit of 16%?

The average weight of 17 students of a class is 56 kg. 3 new students whose weights are 57, 62 and 68 kg, respectively, join the class. Find the new average weight of the students of the class.

J can complete a work in 21 days, K can complete it in 42 days and L can complete it in 63 days. If J, K and L work together, in how many days can they complete the work?

If $$A = \frac{3 \times 4 + 2}{6 \div 3 + 2}$$ and $$B = \frac{12 \div 6 \times 2}{8 \div 4 - 3}$$, then what is the value of $$A^2 + B^2 - 2AB$$?

If m : n = 5 : 4 then what is the value of $$\left(m^2 + n^2\right) : \left(m^2 - n^2\right)$$?

A sum of money is distributed among A, B and C in the ratio 8 : 4 : 3. If A divides his part between D and E in the ratio 9 : 7, then what is the ratio of the share of C to that of D?