Question 1
Find the pattern of the series and answer the question given below.
Series A: 0.5, 3, 16, 97, P, 5441
Series B: Q, \(Q - 400\), \(3.5P + 172\), 2296, 2100, 1956
Find the ratio of P to Q.
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Find the pattern of the series and answer the question given below.
Series A: 0.5, 3, 16, 97, P, 5441
Series B: Q, \(Q - 400\), \(3.5P + 172\), 2296, 2100, 1956
Find the ratio of P to Q.
Find the pattern of the series and answer the question given below.
Series A: 0.5, 3, 16, 97, P, 5441
Series B: Q, \(Q - 400\), \(3.5P + 172\), 2296, 2100, 1956
Find the value of \(\sqrt{P - 4}\).
The side of a square is X cm, and the area of the square and the area of a rectangle are equal. If the length and breadth of the rectangle are (2X - 5) cm and (X – 6) cm, respectively, then find perimeter of the rectangle (in cm).
Three equations are given below. Solve the equations and answer the question given below. (Consider only the positive roots of equations A, B and C.)
A: \(x^{2} + x - 6 = 0\)
B: \(y^{2} + y - 12 = 0\)
C: \(2z^{2} - 3z - 5 = 0\)
I: \((2x + 3)^{x}\)
II: \((2^{2})^{y}\)
III: 12z
Find the relation between I, II and III.
Three equations are given below.
I: \(x^{2} - 12x + 35 = 0\)
II: \(y^{2} + 3y - 70 = 0\)
III: \(z^{2} - 5z - 14 = 0\)
Conditions: A: \(x = y > z;\) B: \(x < y > z;\) C: \(x < y\)
Which of the conditions can be satisfied by the roots of the equations?
Find the pattern of the series and answer the question given below.
Series: (K + 1), (2S − 2), (P2 − 19), 120(K + 1), C
Note: A: K = square root of the smallest two-digit perfect square. B: P = second smallest two-digit prime number. C: S = natural number, the maximum value for which 2S < 40.
Quantity I: 4 × 3rd term of the given series.
Quantity II: C/3
Quantity III: K × S3 + 100
A shopkeeper has three types of apples (A, B, and C) with the following stock and individual weight. Type A: 50 apples in stock, 40 gm each. Type B: 40 apples in stock, 60 gm each. Type C: 60 apples in stock, 25 gm each. He selects a certain number of apples of each of the three types and places them into a crate K. The number of apples chosen for each type are consecutive multiples of 5. The number of C-type apples in K is the minimum among all. If the total weight of all the apples in the crate is 2050 gm, then how many type B apples did the shopkeeper put in the crate?
A shopkeeper sells two items, A and B. The ratio of the cost price of A to B is \(3 : 4,\) respectively, and the ratio of the selling price of A to B is \(58 : 69,\) respectively. A discount of 20% and 10% is offered on items A and B, respectively. If the profit earned on item B is 3.5%, then find the profit percentage on item A.
In the following question, two equations I and II are given. Solve both the equations and mark the correct option.
I: \(\dfrac{[x(x - 5) + 20]}{x} = 9 - x\)
II: \(y^{2} + 2\sqrt{17}\) y − 52 = √68 y
In the following question, two equations I and II are given. Solve both the equations and mark the correct option.
I: \(x\left(2x + \dfrac{15}{x}\right) - 11x\) \({}= 2x\)
II: \(y^{2} - 4^{2} + 2^{2}y = -2y\)