q: If 10 crates have 97 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 30
(B) 10
(C) 15
(D) 20
(E) 0
a: Stream of consciousness: Each crate requires 3 apples and totally there are 10 crates so required apples = 10 * 3 = 30 The answer is (A).

question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 10 as remainder. Find the no. is?
Options:
(A) 220010
(B) 145778
(C) 220110
(D) 235467
(E) 220001
answer: Stream of consciousness: (555 + 445) * 2 * 110 + 10 = 220000 + 10 = 220010 The answer is (A).

q: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 5 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Options:
(A) 30
(B) 20
(C) 18
(D) 12
(E) 6
a: Stream of consciousness: 21-12 < no of hrs < 21-5
9< no of hrs < 16. The answer is (D).

question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 2
(B) 3
(C) 6
(D) 8
(E) 9
answer: Stream of consciousness: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6 The answer is (C).

q: What will come in place of the x in the following Number series? 2, 7, 32, 157, 782, x
Options:
(A) 3707
(B) 3790
(C) 3910
(D) 3907
(E) 3970
a: Stream of consciousness: 2
2 x 5 - 3 = 7
7 x 5 - 3 = 32
32 x 5 - 3 = 157
157 x 5 - 3 = 782
782 x 5 - 3 = 3907 The answer is (D).

q: In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (-2, -2) and a diameter of 8. Some points, such as the center (-2, -2), are inside the circle, but a point such as (-2, 2) is on the circle but not in the circle. How many lattice points are in circle C?
Options:
(A) 40
(B) 10
(C) 73
(D) 60
(E) 63
a:
Stream of consciousness: The lattice points that are in the circle that lie on the perspective axes is as follows: since the diameter is 8, 9 points lie on the horizontal axis (8 + center), but the end points are not in the circle, so 9 - 2 (the same for the vertical axis, but don't count center again), 7 - 1. The lattice points in the circle and not on the horizontal and vertical axes is as follows: lattice points can be found at 45, 45/2 and 30 degrees of axes (30 and 45/2 degrees from horizontal and vertical axes), so same numbers as before, but don't count center again. So, 13 + 5 * 12 = 73
There are a total of 73 lattice points in the circle. The answer is (C).