august 6,7,8,9

1. What is the remainder of the following (7^0 + 7^1 + 7^2 + 7^3 + ........ + 7^23)/14 ?

2. If the standard deviation of 21, 22, 23, 24, 27, 28, 29 & 33 is x, then what is the standard deviation of 221, 222, 223, 224, 227, 228, 229 & 233?

3. Given set S = {1,2,3,4,5} and T = {1,2,3,6,8}, let any element chosen from set S be 's' and any element chosen from set T be 't' and let s*t = n. Then in how many answers are possible for n?

4. If y = kx-5 has a x intercept of -10/3, what is the value of k?

5. If x = - 8
Col A: 7X^2 + 3x
Col B: 7(-8)^2 + 3(-8)

6. {1 / (2 - sqrt3)} =

7. A vendor was selling an item at certain price then marked it down 20% for spring. During summer again he marked it down 20% from spring price. If the item is sold at the summer price what percent of the original price did he sell for?

8. A person went to market with a red and a green bag and bought 10 carrots & 6 radishes. On the way to home he distributed vegetables into the two bags in such a way that no bag is empty. In how many ways can he do ths?

9. In how many ways, the letters of the word POLLOLOP can be arranged?

10. If 60% children like cats, 70% like dogs and 80% like rabbits then exactly how many children like all three animals?

11. A figure was given, it had a rectangular box in which 16 cylindrical cans, each with radius of 1 inch are placed. If the cans touch adjacent cans and/or the walls of the box. Find the interior area of the bottom of the box?

12. If the rate of inflation was 1000% then what will be the cost of an article two years from now, which costs 6 units of currency now?
A. 666
B. 660
C. 720
D. 726
E. 730

13. At a soccer match, the contractor provided dinner for 24 persons, and fixed the price so as to gain 12.5% upon his total outlay. Three of the players being absent , the remaining 21 paid the fixed price for their dinner, and such the contractor lost one rupee.
What was the charge for the dinner?

14. There is a semi circle and person A takes 2min to walk around the semicircle path, and B takes 1 minute to walk along the diameter
CoL A: Average speed of A
CoL B: Average speed of B

15. 5000+sqrt(6.894*7001.2) is approximate equal to
A. 5200
B. 5700
C. 6000
D. 6500
E. 7000



ORKUT QUANT DATABASE (Till Aug 5th)


1.

What is the area of shaded region?

2. Given -1 < x < 0
Col A: x^3
Col B: x^5

3. Given set A:{1,2,3,4,5} & set B:{2,3,4,5,6}, let any element chosen from set A be 'a' and any element chosen from set B be 'b' and let a*b = c. Then in how many answers are possible for c?

4. Given 125w + 25x + 5y + z = 264. Also if w, x, y & z are non-negative integers and less than 5, then the value of w + x + y + z is?
A. 8
B. 10
C. 12

5.

Given the diameter of the bigger circle is ‘D’. If the seven (equal) smaller circles are shaded as above then what is the area of unshaded region?

6. If (63)^n is divisible by 3^16 then
Col A: the value of n
Col B: 7

7. If 'N' is the number of two digit numbers that are not the divisible by 7 and 5, then the value of n is?
A. 61
B. 83
C. 75
D. 56

8. If x-y = 1 then
Col A: x^2 - y^2
Col B: 0

9. Given a sequence 8, -7, 6, -5, 4, ------------ 80. Find the sum of first 27 numbers?

10. If the median of a seven number sequence is 2n+2 then find the Arithmetic mean of that sequence?

11. If a number is divided by 24 and gives reminder as 21 then what is the divided of the following?
A. 6
B. 5
C. 3
D. 9
E. 21

12. Given x < y & p < r < t. If these 5 numbers are placed in ascending order from left to right, which cannot be placed in second place?
A. x
B. y
C. p
D. t
E. r