Question
You are provided with three
sequences below. Determine the values of P, Q, and R, and then identify the relationship among them. 210, P, 233, 64, 260, 35 Q, 66, 110, 170, 254, 370 42, 54, 74, R, 146, 202Solution
ATQ, Series I, 210 - 112 = 89 89 + 122 = 233 233 - 132 = 64 64 + 142 = 260 260 - 152 = 35 P = 89 Series II, 66 - 30 = 36 110 - 66 = 44  (36 + 8) 170 - 110 = 60 (44 + 16) 254 - 170 = 84  (60 + 24) 370 - 254 = 116  (84 + 32) Q = 30 Series III, 42 + 3 × 4 = 54 54 + 4 × 5 = 74 74 + 5 × 6 = 104 104 + 6 × 7 = 146 146 + 7 × 8 = 202 R = 104 89 + 30 = 119 = 104 + 15 P + Q = R + 15
12 of 8 - 9 ÷ 3 × 16 - 17 + 6 of 4 - 15
f(x)=x+ ∣ x ∣ , then the function is:
P can complete a work in 25 days, while Q can complete the same work in 30 days. They work together for 5 days, and then P is replaced by R, who can com...
A particular sum of money, when invested at a simple interest rate, yields Rs. 3,000 as interest after 2 years. The same sum, whe...
A cone has a height of 12 cm and a base radius of 5 cm. A sphere with the same volume as the cone is constructed. What is the radius of the sphere?
Pipe ‘X’ can fill a tank in 20 hours while pipe ‘Y’ can empty it in 24 hours. They were operated alternately starting with pipe ‘X’. Find th...
A shopkeeper sold an article for Rs. 500 after offering a discount of 20%. If he earned a profit of 25%, then find the ratio of cost price to the marked...
If log₂(x) + log₄(x) + log₈(x) = 11, with x > 0, then the value of x is:
20, 247, 447, 620, ?, 885
315 people went to a park. The number of men is 25 more than the number of women and the number of adults is 15 more than the number of children. How ma...