1.
The first term in a certain sequence is 1, and for all integers n ≥ 2, the nth term in the sequence is the sum of 1 plus the reciprocal of the previous term in the sequence. What is the value of the sixth term in this sequence?Give your answer as a fraction.
2.
If p and q are the solutions to x^{2} + 13x = 48, then what is the value of (p − q)^{2}?
3.
In the diagram, BC = CD = BD, angle FDE = 40°, angle EFD = 75°, and line BG is parallel to line DF. What is the measure of angle A in degrees?
4.
A clock has the numbers 1 to 12 arranged equidistantly, in order, around the circumference of its circular face. If the clock’s minute hand starts out pointing at the number 1 and is adjusted counterclockwise until it points at 8 instead, what is the measure of the arc in degrees traversed by the minute hand’s tip?
5.
In a given sequence, each term after the first one is found by multiplying the preceding term by the constant c. If a1 * a2 * a3 = 512, what is the value of a2?
6.
What is the value of 2*x in below equation?
7.
What is the value of n?
8.
A weighs 10 KG more than B, C weighs 5 KG less than A, and D weighs 10 KG more than C. If D weighs 60 KG, what is B's weight?
9.
Whenever a Dealer sells a toy, he earns a 20 percent commission on the first Rs.10,000 of the sale price plus 10 percent of the sale price in excess of Rs.10,000. If Art earned a Rs.3,000 commission on the sale of a certain sculpture, what was the sale price?
10.
A was driving on a straight highway, from Noida to Agra, at 60 KMPH. B was driving faster than A, on the same highway, in the same direction. B started behind A. B passed A at 6:20 AM. At 8:20 AM, B arrived in Agra, and A arrived 50 minutes later, at 9:10 AM. Assume both drivers kept up constant speeds without stops. What was B's speed, in KMPH?
11.
A right triangle has legs of 6 and x, and a hypotenuse of r. If 5r = 5x + 9, what is the value of r + x?
12.
4 years ago, A was 4 times as old as B. In 4 years, A will be twice as old as B. What is A’s present age?