AUGUST THREAD - upto 20&21

AUGUST THREAD - upto 20&21

1) Line and a circle lie in one plane. The line passes through the center of the circle.
Col A Col B
No of points though which the line passes through the circle 2
Ans is C.

2) 3x+2=8
Col A Col B
X 3

3) A vase contains only roses and tulips. The probability of selecting roses is K and that for tulips is 2K.
Col A Col B
K 1-K
Ans B

4) A (B) = - (A-2B), then what is the value of 3(2)?
Ans) -1/81

5) there is a triangle whose co-ordinates of the vertices were given.
Col A Col B
Measure of angle B 90
Ans is C

6) S=Set of integers which are multiple of 6, T= Set of integers which are multiple of 8
No. of integers from 1 to 100 which belong to both the sets?
Ans. Its 4. (24, 48, 72 and 96)

7) If x is a positive integer, and 2 is a factor of 3x+1 then,
Col A Col B
(-1x) 1
Ans is B. Because for 2 to be a factor of 3x+1, x should always be odd and –1 to the power odd is always –1.

8) There are title 15 boys. Select 12 out of 15 & selection of 12 is done randomly. Than probability of there selection.
A=436
B=300
C=60
D=15
E=12
Sol: Selection of 12 Boys from 15 ....can be done in 15c12 ways....
so it is = 15! / (3! * 12 ! )
= 455

9) If X is a positive integer and when divided by 7 has the remainder 3, then what is the remainder when x2-5 is divided by 7?

10) Volume of cubes A and B are x and 2x respectively is a positive integer.
col A col B
Ratio of length of cube A to the length of cube B ½
Ans. Is A

11) colA colB
(0.001)-1 + (0.9999)-1 (0.002)-1 + (0.9998)-1

12) (this question is just a part of what I could remember)
Total Annual income of 600 companies are determined. From this Estimated Annual Incomes (EAI) are determined. F, G, H are three companies which have EAI as 30, 40, and 60 percentile of the total.
colA colB
Difference in EAI between F and G Difference in EAI between G and H
Ans is D, because we cannot determine percentile from the data given.

13) The annual income of a particular place is the annual revenue minus the annual expense. If annual income is 1/4th of the annual expense, then
colA col B
Fraction of annual revenue the annual income is 1/5
Ans is A

14)From the figure below, it was asked that if AD=DC,and the co-ordinates of all the three vertices of the triangle were given.(D is between A and C)
col A col B
Area of triangle ADB 10
Ans is C

15) Which of the following is the least integer which can be expressed as the product of four different integers all of which are between-5 and 4 inclusive
A)-60 B)-120 C)-180 D)-240 E)-500
The answer is D.

16) if x bar is 1- x bar, and for all value of x if y=x bar, then what is y bar,
ans is X

17) No. of articles sold 15 10 30 45
Price per unit (in dollars) 10.15 18.5 14 12

18) what is the approximate average price per unit?
Ans is 13.50

19)company r has 60 more people than s
and t have 3/4 of the r
col a people in s
col b people in t (ANS:D)

20) There are 4 officers and 5 jawans. In how many ways a group of 6 people can be formed if the group consists exactly 1 officer
Sol: It cannot be 4p1*5!..