Hey Guys ...another set of Qs. Help will be much appreciated ...Thanks
What will be the remainder when 13^7 + 14^7 + 15^7 + 16^7 is divided by 58? a. 57 b. 1 c. 30 d. 0 e. 28
If a circle, regular hexagon and a regular octagon have the same area and if the perimeter of the circle is represented by "c", that of the hexagon by "h" and that of the octagon by "o", then which of the following is true? a. c > o > h b. c > h > o c. h > c > o d. o > h > c e. h > o > c
The points R, T, and U lie on a circle that has radius 4. If the length of arc RTU is (4 * pi) / 3, what is the length of line segment RU? A. 34 B. 38 C. 3 D. 4 E. 6
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p? A. 10 B. 12 C. 14 D. 16 E. 18
seems somethin's wrong with this ques...tho i hav markd the best poss option as the answer m very sure this is not the correct answer as k will b a much larger no.
When positive integer x is divided by 5, the remainder is 3; and when x is divided by 7, the remainder is 4. When positive integer y is divided by 5, the remainder is 3; and when y is divided by 7, the remainder is 4. If x > y, which of the following must be a factor of x - y? A. 12 B. 15 C. 20 D. 28 E. 35
A certain circle in the xy-plane has its center at the origin. If P is a point on the circle, what is the sum of the squares of the coordinates of P? (1) The radius of the circle is 4. (2) The sum of the coordinates of P is 0.
can be answered by st. (1) but not by statmnt. (2)
What is the median number of employees assigned per project for the projects at Company Z? (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.
One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x (1) y > 0.15 (2) C >=7.30
can b answerd by 2nd statmnt ...not by 1st
Is ab=1 a. aba=a b. bab=b
can't be answered by any of the statmnts
Is sqrt((x-3)^2) = 3-x a. x!= 3 b. -x x >0
can be answered by 2nd statmnt....assumin stmnt a says x is not equal to 3 and the 2nd stmnt. is the product of modulus of x and (-x)
If a circle, regular hexagon and a regular octagon have the same area and if the perimeter of the circle is represented by "c", that of the hexagon by "h" and that of the octagon by "o", then which of the following is true? a. c > o > h b. c > h > o c. h > c > o d. o > h > c e. h > o > c
for a hexagon inscribd in a circle, side=radius of the circle r therfr, perimeter of hexagon=6r perimeter of circle=2*pi*r=6.28r clearly, c>h----(1) now, i was unsure abt octagon....so i chked for a square and a triangle and extrapolated the result for a square inscribed, side=r*sqrt(2) its perimeter=4*r*sqrt(2)=5.6xx*r hence, s similarly if u chk for an equliateral triangle inscribed in a circle, side =r*sqrt(3) perimeter=3*sqrt(3)*r=5.1xx*r hence, t we conclude frm this, the perimter of a polygon having less no. of sides will be less than the one having greater no. of sides. hence, h the only viable option: c>o>h P.S.: since, we didn't hav any option as o>c>h...there was no need to chk which was gr8r...c or o...and the effort reducd in the odr case, u ll hav to actually get the perimeter of octagon and compare.
When positive integer x is divided by 5, the remainder is 3; and when x is divided by 7, the remainder is 4. When positive integer y is divided by 5, the remainder is 3; and when y is divided by 7, the remainder is 4. If x > y, which of the following must be a factor of x - y? A. 12 B. 15 C. 20 D. 28 E. 35.
two integers both leaving the same remainders when divided by 2 different integers...
concept: whenever this is the case...the difference between the two integers will be a multiple of the LCM of the two divisors.
The points R, T, and U lie on a circle that has radius 4. If the length of arc RTU is (4 * pi) / 3, what is the length of line segment RU? A. 34 B. 38 C. 3 D. 4 E. 6
length of arc=radius*angle subtended at the centre(theta) frm this, u get theta=pi/3
clearly, the segment RU is one of the sides of the hexagon inscribed in the circle. and side of hexagon=radius of circle=4
A certain circle in the xy-plane has its center at the origin. If P is a point on the circle, what is the sum of the squares of the coordinates of P? (1) The radius of the circle is 4. (2) The sum of the coordinates of P is 0.
since, the centre of the circle is at the origin, the eq of the circle is: x^2+y^2=r^2 hence, if we kno the radius of a circle we can get the sum of the squares of the co-ordinates
2nd statmnt. is absurd!....makes no sense
i ll take a brk b4 i post the remainin solns:drinking:
What is the median number of employees assigned per project for the projects at Company Z? (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.
Here ans is C........I have given a detailed explanation for this question in this thread or GMAT DS thread a few pages back.
for a hexagon inscribd in a circle, side=radius of the circle r therfr, perimeter of hexagon=6r perimeter of circle=2*pi*r=6.28r clearly, c>h----(1) now, i was unsure abt octagon....so i chked for a square and a triangle and extrapolated the result for a square inscribed, side=r*sqrt(2) its perimeter=4*r*sqrt(2)=5.6xx*r hence, s similarly if u chk for an equliateral triangle inscribed in a circle, side =r*sqrt(3) perimeter=3*sqrt(3)*r=5.1xx*r hence, t we conclude frm this, the perimter of a polygon having less no. of sides will be less than the one having greater no. of sides.
@ holy_luv and @ harneet kaur
Although you might be knowing this already, just thought to mention one related point here -
For a given perimeter, figures having more sides have more area i.e. Area of circle (infinte sides) > Area of octagon > Area of hexagon > Area of rectangle > Area of equilateral triangle > Area of any other triangle.
From what holy_luv calulated, it seems the converse is also true i.e For a given area, figures with more sides have more perimeter.
Hey.. can someone plz help me with this problem? Thanks a lot!
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n must be (1)less than -10 (2)between -1 and -1/10 (3)between -1/10 and 0 (4)between 0 and 1/10 (5)greater than 10
Hey.. can someone plz help me with this problem? Thanks a lot!
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n must be (1)less than -10 (2)between -1 and -1/10 (3)between -1/10 and 0 (4)between 0 and 1/10 (5)greater than 10
i guess it shoud be 3 i.e between -1/10 and 0. can u please confirm
Hey.. can someone plz help me with this problem? Thanks a lot!
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n must be (1)less than -10 (2)between -1 and -1/10 (3)between -1/10 and 0 (4)between 0 and 1/10 (5)greater than 10
1. Joshua and Jose work at an auto repair center with 4 other workers. For a survey on healthcare insurance, 2 of the 6 workers are randomly chosen to beinterviewed. What is the probability that Joshua and Jose will be chosen? A.1/15 B.1/12 C.1/9 D.1/6 E.1/3
2. The sum of first 50 positive even integers is 2550. What is the sum of even intergers from 102 to 200 inclusive? A.5100 B.7550 C.10100 D.15500 E.20100
3. Is the hundredth digit of decimal d greater than 7? i. The tenths digit of 10d is 7 ii. The thousandths digit of d/10 is 7
1. Joshua and Jose work at an auto repair center with 4 other workers. For a survey on healthcare insurance, 2 of the 6 workers are randomly chosen to beinterviewed. What is the probability that Joshua and Jose will be chosen? A.1/15 B.1/12 C.1/9 D.1/6 E.1/3
2. The sum of first 50 positive even integers is 2550. What is the sum of even intergers from 102 to 200 inclusive? A.5100 B.7550 C.10100 D.15500 E.20100
3. Is the hundredth digit of decimal d greater than 7? i. The tenths digit of 10d is 7 ii. The thousandths digit of d/10 is 7
1. Joshua and Jose work at an auto repair center with 4 other workers. For a survey on healthcare insurance, 2 of the 6 workers are randomly chosen to beinterviewed. What is the probability that Joshua and Jose will be chosen? A.1/15 B.1/12 C.1/9 D.1/6 E.1/3
2. The sum of first 50 positive even integers is 2550. What is the sum of even intergers from 102 to 200 inclusive? A.5100 B.7550 C.10100 D.15500 E.20100
3. Is the hundredth digit of decimal d greater than 7? i. The tenths digit of 10d is 7 ii. The thousandths digit of d/10 is 7
Regards MSD
1) no. of ways in which any 2 of 6 can b chosen: 6C2 =15 no. of ways 2 of 2 (Jose and Joshua) can b chosen =2C2=1
reqd. prob=1/15
2)sum of e1 nos. from 102 to 200....there are in all 50 such nos. Sum of an AP=n/2*=25*302=7550
3) seems i m missin sumthin here coz the first stmnt clearly gives the unit's digit of d and 2nd stmnt givs the 10000th digit.... no other condn is givn....so can't find out the hundredth digit
Hey.. I think the answers are (A), (B) and (D) respectively.
Question (1) -> Let the workers be A, B, C, D, E, F No. of ways to choose 2 out of 6 workers = 16C2 (or) No. of ways of choosing 2 workers can be written as follows:- AB, AC, AD, AE, AF BC, BD, BE, BF CD, CE, CF DE, DF EF Therefore, totally 15 ways.
If A and B represent Joshua and Jose, they can be chosen together only in 1 way as shown above. Therefore the probability is 1/15. ---------------------------------------------------------------------- Question (2) ->
Sum of even numbers from 102 - 200 inclusive can be written as follows:- Sum = 102 + 104 +... + 200 = 2 {51+ 52 +..+100} Apply formula to get the sum. Answer is B = 7550. --------------------------------------------------------------------- Question (3) ->
Statement I says 10th digit of 10d is 7. This means 10d = A.7; therefore d = 0.A7 (this gives the hundredth digit to be 7) Therefore Statement I is sufficient to conclude that the hundredth digit is not greater than 7
Statement II says thousandths digit of d/10 is 7 This means d/10 = 0.AB7; therefore d = A.B7 (this also gives the hundredth digit to be 7) Therefore Statement II is also sufficient.
Answer is (D). ----------------------------------------------------------------------
Puys,
Please help me with the following questions:
1. Joshua and Jose work at an auto repair center with 4 other workers. For a survey on healthcare insurance, 2 of the 6 workers are randomly chosen to beinterviewed. What is the probability that Joshua and Jose will be chosen? A.1/15 B.1/12 C.1/9 D.1/6 E.1/3
2. The sum of first 50 positive even integers is 2550. What is the sum of even intergers from 102 to 200 inclusive? A.5100 B.7550 C.10100 D.15500 E.20100
3. Is the hundredth digit of decimal d greater than 7? i. The tenths digit of 10d is 7 ii. The thousandths digit of d/10 is 7
1. Joshua and Jose work at an auto repair center with 4 other workers. For a survey on healthcare insurance, 2 of the 6 workers are randomly chosen to beinterviewed. What is the probability that Joshua and Jose will be chosen? A.1/15 B.1/12 C.1/9 D.1/6 E.1/3
2. The sum of first 50 positive even integers is 2550. What is the sum of even intergers from 102 to 200 inclusive? A.5100 B.7550 C.10100 D.15500 E.20100
3. Is the hundredth digit of decimal d greater than 7? i. The tenths digit of 10d is 7 ii. The thousandths digit of d/10 is 7
Hey.. can someone plz help me with this problem? Thanks a lot!
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n must be (1)less than -10 (2)between -1 and -1/10 (3)between -1/10 and 0 (4)between 0 and 1/10 (5)greater than 10
I think the answer is A agree with ashishjha's explanation arch can u post the original ans.
