RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If a-b= 10 and a^2+b^2=150, find the value of ab
A.10
B.12
C.25
D.18
Answer: C.25
Explanation: 2ab = (a^2 + b^2) - (a - b)^2
= 150 - 100 = 50
=> ab = 25
ANSWER: C
Question: In how many years does a sum of Rs. 4500 yield a simple interest of Rs. 16000 at 15% p.a.?
A.23.7 years
B.24.7 years
C.25.7 years
D.26.7 years
Answer: A.23.7 years
Explanation: T = (100 * 16000)/(15 * 4500) = 23.7 years
ANSWER:A
Question: For four days of work, a clerk had daily earnings of $190, $180, $190, and $190 respectively. In which of the following intervals does the standard deviation of the daily earnings lie?
A.Between $10 and $100
B.Between $25and $50
C.Between $0 and $10
D.Between $50 and $100
Answer: C.Between $0 and $10
Explanation: The standard deviation is between 0 and 10.
The reason is that none of the numbers in the set is further away from the mean than 10(or rather Abs(180-(190*3+180)/4)). I am not fully sure how to calculate the standard deviation(I simply remember that there were some formula for calculating the average of the squared distances from the mean for all items in the set from statistics classes - variation), but I believe this will suffice for any GMAT question related to standard deviation.
Answer : C
Question: A small college reduced its faculty by approximately 25 percent to 195 professors. What was the original number of faculty members?
A.182
B.260
C.224
D.254
Answer: B.260
Explanation: If x is the original number of faculty members, then after 25% reduction in faculty members number is .75x
but we are given .75x = 195
x = 260
So the original number of faculty members is 260
Correct Answer - B
Question: What is the probability of getting equilateral triangles from the vertices of regular hexagon?
A.1/10
B.2/10
C.3/10
D.4/10
Answer: A.1/10
Explanation: total no. of triangles that can b made with the vetices hexagon= 6C3=20
no. of possible outcomes i.e. no. of equality triangles=2.
.'. probability= 2/20=1/10
ANSWER:A
Question: The simple interest at b% for b years will be $b on a sum of
A.$ (1000)/b
B.$(100)b^2
C.$ b
D.$ (100)/b
Answer: D.$ (100)/b
Explanation: Principal =$(100*b)/(b*b)=$(100/b).
Answer is D
Question: The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length R of a cube whose surface area is equal to 6z?
A.R=16
B.R=8√2
C.R=8
D.R=2√2
Answer: D.R=2√2
Explanation: 800 score Official Solution:
The first step to solving this problem is to actually graph the two lines. The lines intersect at the point (-4, -4) and form a right triangle whose base length and height are both equal to 4. As you know, the area of a triangle is equal to one half the product of its base length and height: A = (1/2)bh = (1/2)(4 × 4) = 8; so z = 8.
The next step requires us to find the length of a side of a cube that has a face area equal to 8. As you know the 6 faces of a cube are squares. So, we can reduce the problem to finding the length of the side of a square that has an area of 8. Since the area of a square is equal to s², where s is the length of one of its side, we can write and solve the equation s² = 8. Clearly s = √8 = 2√2 , oranswer choice (D).
Question: A man can row upstream at 12 kmph and downstream at 38 kmph, and then find the speed of the man in still water?
A.11
B.25
C.30
D.88
Answer: B.25
Explanation: US = 12
DS = 38
M = (12 + 38)/2 = 25
Answer:B
Question: Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 10 inches tall.Carmen places her sculpture on a base that is 10 inches tall. How tall are the sculpture andbase together?
A.3.1 feet
B.3.66 feet
C.3.3 feet
D.3.4 feet
Answer: B.3.66 feet
Explanation: we know 1 feet =12 inch then
2 feet =24 inch
24+10=34 then
34+10=40
44/12=3.66 feet
ANSWER:B
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?
A.70, 10 kmph
B.35, 27 kmph
C.50, 60 kmph
D.80, 20 kmph
Answer: D.80, 20 kmph
Explanation: Speed of the boat in still water = (60+100)/2 = 80 kmph. Speed of the stream = (100-60)/2 = 20 kmph
ANSWER:D
Question: There is a number which is greater than the aggregate of its third. tenth and the twelfth parts by 58
Can you find the number?
A.125
B.153
C.120
D.234
Answer: C.120
Explanation: C
120
Question: In order to obtain an income of Rs. 580 from 15% stock at Rs. 100, one must make an investment of
A.5363
B.6240
C.8700
D.5600
Answer: C.8700
Explanation: To obtain Rs. 10, investment
= Rs. 100.
To obtain Rs. 580, investment =
= Rs. 8700.
Answer: C
Question: 6, 11, 21, 36, 56, 81, 111, ?
A.512
B.146
C.812
D.612
Answer: B.146
Explanation: The pattern is + 5, + 10, + 15, + 20, + 25, + 30, + 35, + 40, + 45, + 50,....
Answer : B.
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in?
A.2 days
B.3 days
C.4 days
D.5 days
Answer: B.3 days
Explanation: That is, 1 person can do one time of the work in 3 days.
Therefore, 7 persons can do 7 times work in the same 3 days itself.
B)
Question: If 30% of a number exceeds 20% of it by 18, then find the number?
A.120
B.200
C.180
D.150
Answer: C.180
Explanation: Let the number be x.
30% of x = 30/100 * x = 3x/10
20% of x = 20/100 * x = x/5 = 2x/10.
Given that 3x/10 - 2x/10 = 18 => x = 180.
Required number is 180.
ANSWER:C
Question: Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English, and only one Englishman knows French. What is the minimum number of phone calls needed for the above purpose?
A.5
B.8
C.11
D.15
Answer: B.8
Explanation: Explanation :
Let a, b, c be the Englishmen and d, e, f be the Frenchmen.
Let a be the Englishman who knows French. 'a' calls 'b & c' and now knows the secret of both of them. So now 'a' knows 'abc' secrets. 'd' calls 'e & f' and now knows the secret of both of them. So now 'd' knows 'def' secrets. 'a' now calls 'd', and exchange all secrets in French, so now 'a' and 'd' know all the 6 secrets. Now 'a' calls 'b & c' again, and 'd' calls 'e & f' again and tell all the secrets. So, totally 9 calls.
Answer : B
Question: A person is traveling at 25km/hr and reached his destiny in 6hr find the distance?
A.A)100km
B.B)95km
C.C)135km
D.D)150km
Answer: D.D)150km
Explanation: speed = 25km/hr
time = 6hr
distance = 25*6 = 150km
Answer is D
Question: The average age of students in section A of 124 students is 23 years and the average age of students in section B of 159 students is 39 years. Find the average age of students in both sections taken together?
A.26 years
B.32years
C.15years
D.25years
Answer: B.32years
Explanation: The required average = (124*23+159*39)/124+159 = 32 years
Answer is B
Question: The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is
A.4.37%
B.5%
C.6%
D.8.75%
Answer: B.5%
Explanation: Solution
Increase in 10 years	= (262500 - 175000)
= 87500.
Increase%	= (87500/175000×100)%
= 50%.
Required average	= (50/10)%
= 5%.
Answer B
Question: At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 10:5. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?
A.4/10
B.4/9
C.6/5
D.9/2
Answer: B.4/9
Explanation: Red: Blue = 10:5
Let Red = 10x and Blue = 5x
1/3 of Red are left handed => 1/3 * 10x = 10x/3 Red left handed
2/3 of Blue are left handed => 2/3 *5x = 10x/3 blue left handed
fraction of participants who are left handed = total left handed/ total participants = (red left handed + blue left handed)/total participants = (10x/3 + 10x/3)/(10x+5x) = 20/45 = 4/9
Answer : B
Question: A car was driving at 66 Km/h for 30 minutes, and then at 100 Km/h for another 45 minutes. What was its average speed?
A.84.
B.75.
C.70.
D.65.
Answer: A.84.
Explanation: driving at 66 Km/h for 30 minutes ,distance covered = 60*1/2=30 km
driving at 100 km/h for 45 minutes ,distance covered = 100*3/4=75 km
average speed = total distance/total time = 105/1.25 = 84 km/h
Answer: A
Question: Simple interest on a certain sum at a certain annual rate of interest is 1/4 of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:
A.4 %.
B.25/4 %.
C.5 %
D.6 %.
Answer: C.5 %
Explanation: Explanation :
Let sum = x. Then, S.I. = x/4
Let rate = R% and time = R years.
[x * R * R / 100] = x / 4? R^2 = 100/4=25
R = 5
Hence, rate of interest = 5 %.
Answer : C
Question: A group of 5 friends—Archie, Betty, Jerry, Moose, and Veronica—arrived at the movie theater to see a movie. Because they arrived late, their only seating option consists of 3 middle seats in the front row, an aisle seat in the front row, and an adjoining seat in the third row. If Archie, Jerry, or Moose must sit in the aisle seat while Betty and Veronica refuse to sit next to each other, how many possible seating arrangements are there?
A.32
B.36
C.48
D.72
Answer: C.48
Explanation: First, place one person in the isle seat - 3 possibilities.
Second, place the two girls Betty and Veronica (more specifically separate them) and then place the remaining two persons - the girls can sit either in the middle seats, one seat apart, or one girl in the third row and then the other girl with the remaining two guys in the middle seats - which is 2*2! + 2*3! = 16.
Total number of possibilities 3*16 = 48.
Answer C
Question: Mr. Peterson deposits $ 200 in an account that pays 20% interest, compounded semiannually. How much money will there be in the account at the end of one year?
A.$118.00
B.$120.00
C.$242.00
D.$122.00
Answer: C.$242.00
Explanation: Using Formula - A = P(1+r/n)^nt
Given
P=200
n=2
t=1
r=0.2
Substituting value in formula
A = 200(1+0.2/2)^2
A= 242.00$=C
Question: Vijay sells a cupboard at 14% below cost price. Had he got Rs.2086 more, he would have made a profit of 14%. What is the cost price of the cupboard?
A.7458
B.7456
C.7450
D.7454
Answer: C.7450
Explanation: Explanation:
Cost price = 2086/(0.14 + 0.14) = 2086/0.28
= Rs.7450
ANSWER: C
Question: An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?
A.1266
B.3000
C.2866
D.2999
Answer: B.3000
Explanation: 4 --- 2000
5 --- ? => 3000
Answer: B:
Question: In a kilometer race, A beats B by 100 meters or 10 seconds. What time does A take to complete the race?
A.90 sec
B.190 sec
C.290 sec
D.490 sec
Answer: A.90 sec
Explanation: Time taken by B run 1000 meters = (1000 * 10)/100
= 100 sec.
Time taken by A = 100 - 10
= 90 sec.
Answer:A
Question: A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following could be the difference of A and B ?
A.72
B.46
C.33
D.24
Answer: A.72
Explanation: A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B:
A = 10x + y
B = 10y + x
A - B = (10x + y) - (10y + x) = 9(x - y). As you can see the difference must be a multiple of 9. Only option A is a multiple of 9.
Answer: A.
Question: Find the average of first 4 multiples of 8?
A.20
B.12.6
C.22.5
D.31.3
Answer: A.20
Explanation: average = (8+16+24+32)/4 = 20
Answer is A
Question: A store has 10 bottles of juice, including 6 bottles of apple juice. In the evening, 6 bottles of juice are sold one by one. What is the probability of selling 3 bottles of apple juice among the 6 bottles? Assume that every bottle has an equal chance of being bought.
A.2/11
B.4/15
C.6/17
D.8/21
Answer: D.8/21
Explanation: The total number of ways to sell 6 bottles from 10 is 10C6 = 210.
The number of ways to sell 3 bottles of apple juice is 6C3*4C3 = 20*4 = 80
P(selling 3 bottles of apple juice) = 80/210 = 8/21
The answer is D.
Question: You collect coins. Suppose you start out with 11. Since you're nice, you give Sharon 3 coins. Since you're nice, you give Steven 5 coins. How many coins do you have at the end?
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: Solution
Start with 11 coins.
Sharon takes 3 coins from you: 11 - 3 = 8 coins.
Steven takes 5 coins from you: 8 - 5 = 3 coins.
So you have 3 at the end.
Correct answer : B
Question: A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 8% of bananas were rotten. Find the percentage of fruits in good condition?
A.92.5%
B.87.8%
C.85.2%
D.96.8%
Answer: B.87.8%
Explanation: Total number of fruits shopkeeper bought = 600 + 400 = 1000
Number of rotten oranges = 15% of 600
= 15/100 × 600
= 9000/100
= 90
Number of rotten bananas = 8% of 400
= 8/100 × 400
= 3200/100
= 32
Therefore, total number of rotten fruits = 90 + 32 = 122
Therefore Number of fruits in good condition = 1000 - 122 = 878
Therefore Percentage of fruits in good condition = (878/1000 × 100)%
= (87800/1000)%
= 87.8%
Answer:B
Question: A trader bought a car at 20% discount on its original price. He sold it at a 30% increase on the price he bought it. What percent of profit did he make on the original price?
A.A)4%
B.B)12%
C.C)14%
D.D)20%
Answer: A.A)4%
Explanation: Original price = 100
CP = 80
S = 80*(130/100) = 104
100 - 104 = 4%
A)
Question: A package contains 8 black and 12 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A.5/9
B.3/5
C.6/8
D.7/9
Answer: B.3/5
Explanation: Let number of balls = (8+12) = 20.
Number of white balls = 12.
P (drawing a white ball) =	12/20=3/5
B
Question: In an acoustics class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?
A.5%
B.10%
C.16%
D.22%
Answer: D.22%
Explanation: Explanation :
The number of female engineering students in the class is (20/100)×100=20.
Now, 25% of the female engineering students passed the final exam: 25.
Hence, the number of female engineering students who passed is 5.
There are 120 male students in the class. And 25% of them are engineering students.
Hence, the number of male engineering students is (1/4)×120=30.
Now, 20% of the male engineering students passed the final exam :- 20.
Hence, the number of male engineering students who passed is 6.
Hence, the total number of engineering students who passed is:
(Female Engineering students who passed)+ (Male Engineering students who passed)
=>5+6=11.
The total number of engineering students in the class is:
(Number of female engineering students)+ (Number of male engineering students)=
=>30+20=50
Hence, the percentage of engineering students who passed is :-
=>(Total number of engineering students passed/ Total number of engineering students) ×100.
=>(11/50)×100.
=> 22%.
Answer : D
Question: The edge of a cube is 3a cm. Find its surface?
A.24a8
B.24a4
C.24a1
D.54a2
Answer: D.54a2
Explanation: 6a2 = 6 * 3a * 3a = 54a2
Answer:D
Question: If f is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
A.√n + 1
B.n + 1
C.n^2 + 1
D.f + 2√f + 1
Answer: D.f + 2√f + 1
Explanation: If f is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
f = (x)^2 where x is a positive integer
To calculate -
(x+1)^2 = x^2 + 2x + 1
root(f) = x
Ans - f + 2 root(f) + 1
This should beD
Question: x+(1/x) = 3 find x^2 + (1/x^2)
A.2.25
B.7
C.4.25
D.5.25
Answer: B.7
Explanation: squaring on both sides (x+1/x)^2=3^2
x^2+1/X^2=9-2
x^2+1/X^2=7
ANSWER:B
Question: If 3a – 2b – 4c = 32 and √3a-√(2b+2c)=4, what is the value of a + b + c?
A.3
B.9
C.10
D.12
Answer: D.12
Explanation: when we look at the two equations, we can relize some similarity, so lets work on it..
3a – 2b – 2c = 32 can be written as √3a^2-√(2b+2c)^2=32
{√3a-√(2b+2c)}{√3a+√(2b+2c)}=32..
or 4*√3a+√(2b+2c)=32..
or √3a+√(2b+2c)=8..
now lets work on these two equations
1)√3a-√(2b+2c)=4..
2)√3a+√(2b+2c)=8..
A) add the two eq..
√3a+√(2b+2c)+√3a-√(2b+2c)=12..
2√3a=12..
or √3a=6..
3a=36..
a=12.
B) subtract 1 from 2..
√3a+√(2b+2c)-√3a+√(2b+2c)=4..
2√(2b+2c)=4..
√(2b+2c)=2..
2b+2c=4..
or b+c=2..
from A and B a+b+c=12+2=14..
D
Question: To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of Y dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of the lunch is completely paid?
A.Y/T
B.Y/(T-S)
C.SY/(T-S)
D.SY/T(T-S)
Answer: D.SY/T(T-S)
Explanation: Since no absolute values are given in the question we can replace the given parameters with assumed numbers,
Let Total colleagues be 100 (T)
Let total contribution be 600 (Y) (point to note is that its total cost not per person)
Those who dont pay are S (30)
Per person cost = Y/T = 600/100 = 6
So cost for those who failed to pay = (Y/T) * S = SY/T = 30*6=180
The equation for people who would bear the total cost after S people fail = (T-S)=70
There fore the solution is (SY/T)/ (T-S) = SY/T(T-S) = 180/70
Answer D
Hope this helps !!!
Question: If $1000,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
A.10,000(x^n)
B.10,000(x/100)^n
C.10,000n(x/100)
D.1,000,000n(x/100)
Answer: D.1,000,000n(x/100)
Explanation: I think answer D is for compound interest (which i assumed)
and answer D is for simple interest because it is not compounding.
Question: How many bricks each measuring 30cm x 12cm x 10cm, will be needed to build a wall 6m x 4m x 20.5m
A.5655
B.1366
C.6444
D.7266
Answer: B.1366
Explanation: Explanation:
no. of bricks= volume of the wall/volume of 1 brick = (600 x 400 x 20.5) / (30 x 12 x 10) = 1366
Answer: B
Question: A and B starts a business with Rs.8000 each, and after 5 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
A.18:11
B.22:13
C.23:12
D.36:23
Answer: D.36:23
Explanation: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 5 months and then withdraws Rs.4000. So, the investment of B for remaining 13 months is Rs.4000 only.
A : B
8000*18 : (8000*5) + (4000*13)
144000 : 92000
A:B = 36:23
ANSWER:D
Question: When 1/10 percent of 1,000 is subtracted from 1/10 of 1,000, the difference is
A.10
B.100
C.999
D.99
Answer: D.99
Explanation: (1/10)*1000 - (1/10)%*1000 =
100 - (1/1000)*1000 =
100 - 1 = 99
The answer is D.
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
A.3:8
B.3:4
C.3:5
D.3:2
Answer: B.3:4
Explanation: They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B
=6000 : 8000 => 3:4
Answer:B
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A.9 a.m.
B.10 a.m.
C.10.30 a.m.
D.11 a.m.
Answer: B.10 a.m.
Explanation: Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
=> 45x = 135
=> x = 3.
So, they meet at 10 a.m.
Answer: Option B
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
A.11
B.16
C.18
D.10
Answer: B.16
Explanation: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec
Answer:B
Question: Quarters (US $ 0.25) are stacked in 18 columns. The first column has 10 quarters and each subsequent column has 3 quarters more than the previous column. Find the total number of quarters.
A.648
B.630
C.578
D.639
Answer: D.639
Explanation: Number of coins in the 18 columns forms an AP with first number 10 and last 61
Avg is 35.5 and the total number of coins is 35.5*18
Answer is D
Question: In a room are five chairs to accommodate 3 people, one person to a chair. How many seating arrangements are possible?
A.45
B.60
C.72
D.90
Answer: B.60
Explanation: I actually solved this problem by the following thoughts (derived from factorials):
First Person: 5 Chairs to choose
Second Person: 4 Chairs to choose
Third Person: 3 Chairs to choose
Then I simply multiplied this values and got the answer. Basically it’s 5! – 2!.=60
Answer: B.
Question: A can do a job in 15 days and B can do it in 30 days. A and B working together will finish twice the amount of work in days?
A.20
B.22 1/2
C.22 1/0
D.22 1/9
Answer: A.20
Explanation: 1/15 + 1/30 = 3/30 = 1/10
10= 10 *2 = 20 days
Answer: A
Question: For integers x and y, when x is divided by y, the remainder is odd. Which of the following statement is not wrong?
A.x is odd
B.xy is odd
C.x and y share no common factors other than 1
D.either integer x or integer y is odd
Answer: D.either integer x or integer y is odd
Explanation: either integer x or integer y is odd
D
Question: A miniature roulette wheel is divided into 9 equal sectors, each bearing a distinct integer from 1 to 9, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun three times, approximately what is the probability that the product of the three winning sectors’ integers will be even?
A.50%
B.67%
C.83%
D.90%
Answer: C.83%
Explanation: The only way to have an odd product is if all 3 integers are odd.
P(odd product) = 5/9*5/9*5/9 = 125/729
P(even product) = 1 - 125/729 = 604/729 which is about 83%
The answer is C.
Question: The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability T that exactly two visitors will buy a pack of candy?
A.0.343
B.0.147
C.0.189
D.0.063
Answer: C.0.189
Explanation: 3C2 * (3/10)^2 * 7/10
= 3 * 9/100 * 7/10
= 189/1000
= 0.189=T
Answer - C
Question: Find the average of all the numbers between 9 and 26 which are divisible by 5.
A.15
B.19
C.18
D.22
Answer: C.18
Explanation: Sol.
Average = (10 + 15 + 20 + 25 / 4) = 70 / 4 = 17.5
Answer C
Question: Reduce 4128/4386 to its lowest terms
A.14/13
B.13/17
C.16/17
D.13/18
Answer: C.16/17
Explanation: Explanation:
HCF of 4128 and 4386
4128)4386(1
4128
-----
258)4128(16
4128
----
0
Hence HCF of 4128 and 4386 is 258.
4128/258 = 16
4386/258 = 17
4128/4386 = 16/17
Answer: Option C
Question: If xy+5z = x(y+z), which of the following must be true?
A.1. x=0 and z=0
B.2. x=5 and z=0
C.3. y=1 and z=0
D.4. x=1 or y=0
Answer: B.2. x=5 and z=0
Explanation: xy+5z=x(y+z)
xy+5z=xy+xz
5z=xz
it means x=5 or z=0
Answer B
Question: There are 23 balls in a box: 10 balls are green, 8 are blue and 5 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?
A.7/21
B.4/13
C.3/13
D.5/13
Answer: A.7/21
Explanation: If 1 green and 1 blue ball are taken from the box, then there are 9 green, 7 blue and 5 white balls, a total of 21 balls. If one ball is selected at random, the probability that it is blue is given by 7 / 21
Answer : A
Question: Find the value of y from (12)^3 x 6^4÷432 = y?
A.5618
B.5232
C.5889
D.5184
Answer: D.5184
Explanation: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
D