mathewhe/aqua_rat huggingface dataset:
Question: A 9% stock yields 25%. The market value of the stock is:
(A) Rs 45
(B) Rs 25
(C) Rs 40
(D) Rs 39
(E) Rs 36
Rationale: Explanation:
For an income of Rs. 25, investment = Rs. 100.
For an income of Rs 9, investment =Rs.100/25 X9 =Rs36
Market value of Rs. 100 stock = Rs 36
Answer is E
Answer: (E) Rs 36
Question: The age of Amit is 3 times that of his son. 15 years ago, Amit was 9 times as old as his son, What will be the age of Amit after 15 years?
(A) 35 years
(B) 60 years
(C) 75 years
(D) 65 years
(E) None of these
Rationale: Let the present age of Amit and his son be x and y respectively.
Then, x = 3y ...(i)
(x -15) = 9(y - 15)
or x - 15 = 9y -135 .
x - 9y = - 120 ...(ii)
Solving (i) and (ii),
we get y = 20 and x = 60
Thus Age of Amit after 15 years = 60 + 15 = 75 years
ANSWER:C
Answer: (C) 75 years
Question: The second day of a month is Friday, What will be the last day of the next month which has 31 days?
(A) Friday
(B) Saturday
(C) Wednesday
(D) Data inadequate
(E) None of these
Rationale: Explanation :
We cannot find out the answer because the number of days of the current month is not given. Answer : Option D
Answer: (D) Data inadequate
Question: Find the odd man out. 0,3,7,15,24
(A) 8
(B) 10
(C) 9
(D) 6
(E) 14
Rationale: 1^2-1=0
2^2-1=3
3^2-1=8
4^2-1=15
5^2-1=24
Hence, it is clear that 8 should have come instead of 7
Answer : Option A
Answer: (A) 8
Question: A regular hexagon is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?
(A) 48 degrees
(B) 60 degrees
(C) 72 degrees
(D) 84 degrees
(E) 108 degrees
Rationale: its a regular hexagon so divide the globe by 6.
= 360/6
= 60
72 would be the angle at O.
Angles at A and B are equivalent, so
60 + 2x = 180
2x = 120
x = 60
Angles OAB and OBA will be 60 degrees each.
B
Answer: (B) 60 degrees
Question: A box measuring 49 inches long by 21 inches wide by 14 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
(A) 17
(B) 42
(C) 54
(D) 108
(E) 864
Rationale: least number of cubes will be required when the cubes that could fit in are biggest.
7 is the biggest number that could divide all three, 49, 21 and 14.
Thus side of cube must be 7, and total number of cubes = 49/7 * 21/7*14/7 = 42
Ans B it is.
Answer: (B) 42
Question: If 20% of a = b, then b% of 20 is the same as :
(A) 4% of a
(B) 6% of a
(C) 8% of a
(D) 10% of a
(E) 15 of a
Rationale: 20% of a = b -> 20/100 a = b
b% of 20 = b/100*20 = 4% of a
ANSWER A
Answer: (A) 4% of a
Question: What is the total surface area in square meters of a rectangular solid whose length is 9 meters, width is 8 meters, and depth is 5 meters?
(A) 152 m2
(B) 162 m2
(C) 180 m2
(D) 300 m2
(E) 314 m2
Rationale: Surface Area of a cuboid = 2(lb+bh+lh) = 2(9*8+8*5+9*5)=2(72+40+45)=2*157=314 m2
Answer : E
Answer: (E) 314 m2
Question: Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 15000 at the end of the year, what should be the share of Narendra?
(A) A)Rs.7000
(B) B)Rs.12000
(C) C)Rs.8500
(D) D)Rs.8600
(E) E)Rs.8700
Rationale: The ratio of their investments = 30000 × 12 : 15000 × 6 = 4 : 1.
:. Narendra’s share on profit of Rs.15000 = 15000 × 4/5 = Rs.12000.
B)
Answer: (B) B)Rs.12000
Question: In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
(A) 3 : 7
(B) 5 : 7
(C) 7 : 3
(D) 7 : 5
(E) 6 : 5
Rationale: By the rule of alligation:
Cost of 1 kg pulses of 1st kind Rs. 15
Cost of 1 kg pulses of 2nd kind Rs. 20
Mean Price Rs. 16.50
Required rate = 3.50 : 1.50 = 7 : 3.
Answer:C
Answer: (C) 7 : 3
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 40 min, then the slower pipe alone will be able to fill the tank in?
(A) 160
(B) 787
(C) 144
(D) 128
(E) 121
Rationale: Let the slower pipe alone fill the tank in x min.
Then, faster pipe will fill it in x/3 min.
1/x + 3/x = 1/40
4/x = 1/40 => x = 160 min.
Answer: A
Answer: (A) 160
Question: The fourth proportional to 6, 14 and 18 is?
(A) 21
(B) 42
(C) 77
(D) 88
(E) 99
Rationale: (14*18)/6 = 42
Answer: B
Answer: (B) 42
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 4:2. What is the ratio of luxury cars to sport utility vehicles?
(A) 9:8
(B) 8:9
(C) 3:2
(D) 8:6
(E) 1:2
Rationale: The ratio of economy to luxury cars is 3:2 --> E:L = 3:2 = 12:8.
The ratio of economy cars to sport utility vehicles is 4:2 --> E:S = 4:2 = 12:6.
Thus, L:S = 8:6.
Answer: D.
Answer: (D) 8:6
Question: It takes 1.5 hours for Tim to mow the lawn. Linda can mow the same lawn in 2 hours. How long will it take John and Linda, work together, to mow the lawn?
(A) 51.1 minutes
(B) 51.3 minutes
(C) 51.5 minutes
(D) 51.7 minutes
(E) 51.9 minutes
Rationale: We first calculate the rate of work of John and Linda
John: 1 / 1.5 and Linda 1 / 2
Let t be the time for John and Linda to mow the Lawn. The work done by John alone is given by
t * (1 / 1.5)
The work done by Linda alone is given by
t * (1 / 2)
When the two work together, their work will be added. Hence
t * (1 / 1.5) + t * (1 / 2) = 1
Multiply all terms by 6
6 (t * (1 / 1.5) + t * (1 / 2) ) = 6
and simplify
4 t + 3 t = 6
Solve for t
t = 6 / 7 hours = 51.5 minutes.
Answer C
Answer: (C) 51.5 minutes
Question: find value for x from below equation? x + 1 = 3
(A) -5
(B) -4
(C) 4
(D) 3
(E) 2
Rationale: 1. Subtract 1 from both sides:
x + 1 - 1 = 3 - 1
2. Simplify both sides:
x = 2
E
Answer: (E) 2
Question: Annie has 100 cards numbered 1 through 100. If she deals five cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?
(A) 95!/100!
(B) 96!/100!
(C) (95! X 5!)/100!
(D) (96! X 5!)/100!
(E) (97! X 4!)/100!
Rationale: Alex to get 5 consecutive cards in ascending order, to have 5 consecutive at the end is good enough.
There are 96 consecutive numbers in 100: {1, 2, 3, 4, 5}, {2, 3, 4, 5, 6}, ..., {96, 97, 98, 99, 100};
Total ways to pick 5 cards out of 100 is C5100C1005;
So, P=\frac{favorable \ outcomes}{total \ # \ of \ outcomes}=\frac{96}{C^5_{100}}=\frac{5!*96!}{100!}.
Answer: D.
Answer: (D) (96! X 5!)/100!
Question: If a and b are even numbers, which of the following CANNOT be the value of a-b?
(A) 10
(B) 14
(C) 21
(D) 24
(E) 26
Rationale: 21 is an odd number and the subtraction of two even number should be an even number..
ans C
Answer: (C) 21
Question: If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 3 children have two children of the same sex and one of the opposite sex?
(A) 1/3
(B) 2/3
(C) 1/4
(D) 3/4
(E) 3/5
Rationale: Let boy be represented by B and girl by G.
The possible outcomes of two children of same sex and one of opposite sex can be:
BBG OR GBB OR BGB OR GGB OR BGG OR GBG
(1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2)
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 6/8 = 3/4
ANSWER:(D)
Answer: (D) 3/4
Question: The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 62 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
(A) 62 degrees
(B) 64 degrees
(C) 128 degrees
(D) 66 degrees
(E) 67 degrees
Rationale: Explanation:
Sum of temperatures on 1st, 2nd, 3rd and 4th days = (58 * 4) = 232 degrees ... (1)
Sum of temperatures on 2nd, 3rd, 4th and 5th days - (62 * 4) = 248 degrees ....(2)
Subtracting (1) From (2), we get :
Temp, on 5th day - Temp on 1st day = 16 degrees.
Let the temperatures on 1st and 5th days be 7x and 8x degrees respectively.
Then, 8x - 7x = 16 or x = 16. Answer: C
Temperature on the 5th day = 8x = 128 degrees.
Answer: (C) 128 degrees
Question: In a division sum, the quotient is 65, the divisor 24 and the remainder 5, find the dividend?
(A) 1595
(B) 1569
(C) 1265
(D) 1555
(E) 1565
Rationale: Explanation:
65 * 24 + 5 = 1565
Answer : E
Answer: (E) 1565
Question: The mean of 30 values was 250. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
(A) 151
(B) 149
(C) 152
(D) 251
(E) None of the above
Rationale: Corrected mean = 250×30−135+165/30
= 7500−135+165/30
=7530/30=251
Answer D
Answer: (D) 251
Question: 105*2
(A) 11025
(B) 23889
(C) 29088
(D) 1999
(E) 17710
Rationale: Here d = 5.
100 + 2 ×× 5 / 25 = 11025
Answer:A
Answer: (A) 11025
Question: If Ram rides his cycle in the speed of 18 km/hr from his office, in what time will he reach his house which is 900 m long from his office?
(A) 2
(B) 4
(C) 5
(D) 7
(E) 3
Rationale: Speed = 18 * 5/18 = 5 m/sec
Time taken = 900/5 = 180 sec ie. 3 mins.
Answer:E
Answer: (E) 3
Question: A certain fruit stand sold orange for $0.70 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?
(A) 12
(B) 13
(C) 14
(D) 11
(E) 15
Rationale: Some multiple of 7 + Some multiple of 5 should yield 63. To get to a some multiple of 5, we should ensure that a 3 or 8 (5+3) should be a multiple of 7.
63 is a direct multiple of 7, however in this case there won't be any bananas. Hence the next option is to look for a multiple of 7 that has 8 as the unit digit. 28 satisfies this hence no. of apples is 4 and no of bananas is 7
D
Answer: (D) 11
Question: A clock strikes every hour once at 1.00 twice at 2.00 and so on. the clock takes 6 seconds to strike 5.00 and 12 seconds to strike 9.00 the time needed to strike 1.00 is negligible. how long does the clock need for all its striking in 24 hours?
(A) 138
(B) 198
(C) 267
(D) 297
(E) 191
Rationale: The clock takes 12 secs to strike 9.00. So there are 8 gaps between 9 strikings. So the gap between the striking is 12/8 = 1.5 seconds.
To strike 2.00 it takes = 1.5 seconds.
To strike 3.00 it takes = 3 seconds.
To strike 4.00 it takes = 4.5 seconds
................
................
To strike 12.00 it takes = 16.5 seconds.
So it takes a total of 1.5 + 3 + 4.5 + . . . . . . + 16.5 = 1.5 ( 1 + 2 + 3 + .... + 11) = 99 seconds to strike 12 hours.
For 24 hours it takes 99 × 2 = 198 seconds.
Answer:B
Answer: (B) 198
Question: The average runs of a cricket player of 10 innings was 32. How many runs must he makes ih his next innings so as to increase his average of runs by 4?
(A) 2
(B) 4
(C) 70
(D) 76
(E) None
Rationale: Sol.
Average after 11 innings = 36.
Therefore required numbert of runs
= (36 × 11) – (32 × 10)
= 396 - 320
= 76.
Answer D
Answer: (D) 76
Question: if 85% of the population of an ant colony is red, and of these 45% are females, then what % of the total ant population are male red ants?
(A) 46.75
(B) 40
(C) 33.66
(D) 66.66
(E) 66.86
Rationale: 55% are males
percentage of male red ants is 55*.85=46.75
ANSWER:A
Answer: (A) 46.75
Question: workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25 lacs . How many workers were they?
(A) 200
(B) 250
(C) 500
(D) 550
(E) 600
Rationale: N * 50 = (325000 - 300000) = 25000
N = 25000 / 50
= 500
C
Answer: (C) 500
Question: The smallest value of n, for which 2n+1 is not a prime number, is
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: (2×1 + 1) = 3.
(2×2 + 1) = 5.
(2×3 + 1) = 7.
(2×4 + 1) = 9.
which is not prime , n=4.
ANSWER:B
Answer: (B) 4
Question: Y and Z started a business investing Rs. 70,000 and Rs. 30,000 respectively. In what ratio the profit earned after 5 years be divided between Y and Z respectively?
(A) 6:3
(B) 3:7
(C) 7:3
(D) 3:6
(E) None of these
Rationale: Y:Z = 70000 : 30000 = 7:3.
ANSWER:C
Answer: (C) 7:3
Question: Ravi purchased 20 dozens of toys at the rate of Rs. 350 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
(A) 23%
(B) 1.2%
(C) 13.14%
(D) 34.1%
(E) 12.2%
Rationale: C
C.P. of 1 toy = 350/12 = Rs. 29.16
S.P of 1 toy = Rs. 33
Profit = 3.83/31.25 * 100 = 13.14%
Answer: (C) 13.14%
Question: For all numbers a and b, the operation is defined by ab = (a + 2)(b – 3).
If 3y = –50, then y =
(A)  –15
(B)  –7
(C)  3
(D)  6
(E)  15
Rationale: (3+2)(y-3)=-50..
y-3=-10..
y=-7
B
Answer: (B)  –7
Question: Sum Sam and Product Pete are in class when their teacher gives Sam the Sum of two numbers and Pete the product of the same two numbers (these numbers are greater than or equal to 2). They must figure out the two numbers.
Sam: I don't know what the numbers are Pete.
Pete: I knew you didn't know the numbers... But neither do I.
Sam: In that case, I do know the numbers.1
What are the numbers?
(A) 1-2
(B) 1-3
(C) 2-4
(D) 3-4
(E) 2-3
Rationale: Since Sam knows the sum of the numbers (x + y) he would only know the answer immediately if the sum was 4 (2 + 2) or 5 (3 + 2). Then when Pete (who knows x*y) knew that Sam didn't know the answer the product must have several numbers that add up to the sum (7 = 3 + 4, 7 = 5 + 2). When Pete doesn't know the answer at this point we know the product must have more than one pair of viable factors (12 = 3 * 4, 12 = 6 * 2). At this point Sam knows the numbers are 3 and 4 because they are the only numbers that meet these criteria.
Answer: (D) 3-4
Question: The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 6 years ?
(A) 3277
(B) 2977
(C) 7119
(D) 6077
(E) 17112
Rationale: Explanation: 40,000*(3/4)^6
Answer:C
Answer: (C) 7119
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.15000?
(A) 4965
(B) 1879
(C) 2779
(D) 2672
(E) 2782
Rationale: A = 15000(11/10)^3
= 19965
= 15000
----------
4965
Answer: A
Answer: (A) 4965
Question: The class mean score on a test was 60, and the standard deviation was 5. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
(A) 30
(B) 31
(C) 45
(D) 40
(E) 89
Rationale: 1 SD from the mean is ADDING and Subtrating the amount if standard deviation from the mean one time. 2 SD from the mean is ADDING and Subtracting TWICE.
1SD from the mean ranges from 65 to 55, where 65 is within SD above the mean and 55 within 1SD below the mean
2SD=5 TWICE=10 from the the mean, which is 70 to 40, where 70 is within 2 SD above the mean AND 40 is within 2 SD below the mean.
Answer = D
Answer: (D) 40
Question: The music class consists of 4 girls and 6 boys. How many ways can a group of 3 be formed if it has to include at least one boy?
(A) 116
(B) 158
(C) 161
(D) 165
(E) 172
Rationale: Reverse combinatorics approach is preferred method on this one
Note that at least 1 boy gives clue to using this method
All combinations - four girls = answer
All combinations is 10C3 = 120
All girls 4C3 = 4
So our answer is 120-4 = 116
Hence, answer is (A)
Answer: (A) 116
Question: A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 40 percent of the pack would be outfielder cards?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: Solution: Let x be the number of outfielder cards remaining of removal.
x <= 0.4(8+x) ===> 0.6x <= 3.2 ==> x <= 5.33
S0, x = 5
So no. of cards to be removed is 12-5 = 7.
Option D
Answer: (D) 7
Question: 8500 + (1600 ÷ ?) of 1/5 = 8501
(A) 310
(B) 312
(C) 320
(D) 325
(E) 345
Rationale: Explanation:
=> 8500 + (1600/?) × 1/5 = 8501
=> 1600/? × 1/5 = 8501 - 8500 = 1
=> ? = 1600/5 = 320
Answer: Option C
Answer: (C) 320
Question: How many seconds will a train 100 meters long take to cross a bridge 140 meters long if the speed of the train is 36 kmph?
(A) 26
(B) 24
(C) 25
(D) 82
(E) 27
Rationale: Explanation:
D = 100 + 140 = 240
S = 36 * 5/18 = 10 mps
T = 240/10 = 24 sec
Answer: Option B
Answer: (B) 24
Question: Find the odd man out
3, 4 , 10 , 32 , 136 , 685 , 4116
(A) 32
(B) 136
(C) 685
(D) 4116
(E) 42
Rationale: Series N*X+X, X starts from 1,2,3..., N=3 for first iteration. New value will become N for the next iteration
3*1+1 = 4
4*2+2 = 10
10*3+3 = 33
33*4+4 = 136
136*5+5 = 685
685*6+6 = 4116
ANSWER:A
Answer: (A) 32
Question: Frank is 15 years younger then John. In 4 years John will be twice as old as Frank. How old will Frank be in four years?
(A) 8
(B) 10
(C) 12
(D) 15
(E) 16
Rationale: Frank is 15 years younger then John --> F+15=J;
In 5 years John will be twice as old as Frank (in 4 year John will be J+4 years old and Frank will be F+4 years old) --> J+4=2*(F+4) --> (F+15)+4=2*(F+4) --> F=11;
In 4 years Frank will be 11+4=15 years old.
Answer: D.
Answer: (D) 15
Question: Amanda has had 3 pay cuts in her salary in the past 6 months. If the first pay cut was 10%, the second pay cut was 19% and the third was 14%. What will be the percentage decrease, if the salary is decreased in a single shot?
(A) 17.31%
(B) 34.31%
(C) 37.31%
(D) 35.31%
(E) 31.31%
Rationale: Let Rs.100 be initial salary.
Salary After 1st decrease, 10% = 90
Salary After 2nd decrease, 19% = 72.9 i.e. reduced by 19 percent of 90
Salary After 3rd decrease, 14% = 62.694 i.e. reduced by 14 percent of 72.9
So if its decreased in single shot =
i = ( ( b - a ) /b ) * 100
=37.31%
ANSWER:C
Answer: (C) 37.31%
Question: Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability R that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
(A) 8/28
(B) R=9/28
(C) 10/28
(D) 10/18
(E) 11/18
Rationale: (3c2*2c1*3c2)/8c5
=(3*2*3) /(8*7*6/3*2)
=18/56
=9/28
B
Answer: (B) R=9/28
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $590 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
(A) 23,500
(B) 24,500
(C) 25,500
(D) 26,500
(E) 27,500
Rationale: Let the weekly sales of both = x
590+(x−1000)8/100=10/100x
x = 25500
ANSWER:C
Answer: (C) 25,500
Question: What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
(A) Rs.126
(B) Rs.120
(C) Rs.127
(D) Rs.197
(E) Rs.122
Rationale: When compounded annually, interest
= 12000[1 + 20/100]1 - 12000 = Rs.2400
When compounded semi-annually, interest
= 12000[1 + 10/100]2 - 12000 = Rs.2520
Required difference = 2520 - 2400 = Rs.120
Answer:B
Answer: (B) Rs.120
Question: P runs 25% faster than Q so P gives Q a twenty meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
(A) 90
(B) 100
(C) 110
(D) 120
(E) 130
Rationale: Let D be the race distance that P ran.
Let T be the time it took to complete the race.
Let V be Q's speed.
T = D/1.25V = (D-20) / V
D=1.25D-25
0.25D=25
D=100 meters.
The answer is B.
Answer: (B) 100
Question: Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is 1/3, what is the value of Y/X ?
(A) 3.
(B) 2.
(C) 1/2.
(D) 1/4
(E) There isn't enough data to answer the question.
Rationale: Answer is D : 1/4
X - Y = (X + Y)/3
Solving for Y/X = 1/4
Answer: (D) 1/4
Question: Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?
(A) 120 grams
(B) 140 grams
(C) 240 grams
(D) 280 grams
(E) None of these
Rationale: The seven pieces consist of 6 smaller equal pieces and one half cake piece.
Weight of each small piece = 20 g.
So, total weight of the cake = [2 x (20 x6)]g= 240 g.
ANSWER:C
Answer: (C) 240 grams
Question: Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 10 points more than the previous mock test. If he scored 750 on the GMAT and his average score for the mocks and the GMAT was 726.67, what was the difference in the score of his last mock and his GMAT score?
(A) 8
(B) 30
(C) 40
(D) 50
(E) 60
Rationale: One way to do this would be weighted average method..
1) let the average of 5 mocks be x...
so take it as a mix of5 quantitites of xand1 quantity of 750resulting in an average of 726.67...
By alligation/weighted average..
the difference in 750 and 726.67 is 5/6 of difference of 750 and x..
750-726.67 = 5/6 * (750-x)
750-x= 23.33*6/5=28...
so x = 722..
the last of mock test will be 722+10+10=742...
so ans = 750-742=8
A
Answer: (A) 8
Question: Lindsay can paint 1/x of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in three hours, what fraction of the room can Joseph paint in 20 minutes?
(A) 1/3x
(B) x/(x-9)
(C) (x-3)/9x
(D) x/(x-3)
(E) (x-3)/x
Rationale: Let J be Joseph's rate per hour.
1/x + J = 1/3 of a room per hour
J = 1/3 - 1/x, of a room per hour
In 20 minutes, Joseph can paint 1/3*(1/3-1/x) = 1/9-1/3x = (x-3)/9x
The answer is C.
Answer: (C) (x-3)/9x
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 1 rounds per hour and 1 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
(A) A)5
(B) B)6
(C) C)8
(D) D)3
(E) E)9
Rationale: Relative speed = 1 + 1 = 2 rounds per hour.
So, they cross each other 2 times in an hour and 1 times in half an hour.
Hence, they cross each other 3 times before 9.30 a.m.
ANSWER:D
Answer: (D) D)3
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 10:8:2. If there are in all Rs.90, the number of 50 paisa coins is?
(A) 120
(B) 110
(C) 90
(D) 80
(E) 100
Rationale: 10x 8x 2x
50 25 100
500x + 200x + 200x = 4200
900x = 9000
x = 10 => 10x = 100
Answer: E
Answer: (E) 100
Question: How much 60% of 50 is greater than 40% of 30?
(A) 18
(B) 13
(C) 15
(D) 20
(E) 25
Rationale: Explanation:
(60/100) * 50 â€“ (40/100) * 30
30 - 12 = 18
Answer is A
Answer: (A) 18
Question: A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped four times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 6?
(A) 3/8
(B) 1/16
(C) 5/8
(D) 3/4
(E) 5/16
Rationale: There are 16 possible outcomes.
One outcome (2222) has a sum equal to 8.
Four outcomes (1222, 2122, 2212, 2221) have a sum equal to 7.
P(the sum is greater than 6) = 5/16
The answer is E.
Answer: (E) 5/16
Question: Each child has 4 crayons and 14 apples. If there are 9 children, how many crayons are there in total?
(A) 22
(B) 65
(C) 12
(D) 36
(E) 10
Rationale: 4*9=36.Answer is D.
Answer: (D) 36