mathewhe/aqua_rat huggingface dataset:
Question: In the coordinate plane a slope of the line K is 3/2 times the x-intercept of the line K. What is the y-intercept of the line K?
(A) -4
(B) 4
(C) -1/4
(D) 1/4
(E) 2/3
Rationale: As 3/2y=mx+c, from 3/2y=0+m we get y=2/3. Hence, the correct answer choice is E.
Answer: (E) 2/3
Question: The average monthly salary of 20 employes in an organisation is Rs.1500. If the manager's salary is added, then the average salary increases by Rs.100. What is the manager's monthly salary?
(A) Rs. 2000
(B) Rs. 2400
(C) Rs. 3600
(D) Rs. 4000
(E) None
Rationale: Solution
Manager's monthly salary	= Rs.(1600x21-1500x20)
= Rs. 3600
Answer C
Answer: (C) Rs. 3600
Question: What percent of 6.3 kg is 25 gms ?
(A) 39
(B) 66
(C) 288
(D) 19
(E) 17
Rationale: Explanation:
Required percentage = (25/63000 * 100)% = 39/100% = 0.39%
Answer: A) .39%
Answer: (A) 39
Question: x = 13.175
y = 7.496
z = 11.545
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
(A) 0.01
(B) 0.02
(C) 0.03
(D) 0.1
(E) 0.2
Rationale: Rounding off the values:
x = 13.18
y = 7.50
z = 11.55
A = 13.18 + 7.50 + 11.55 = 32.23
x + y + z = 13.175 + 7.496 + 11.545 = 32.206
B = 32.21
A - B = 0.02
Option B
Answer: (B) 0.02
Question: If X+Y = 2X+Z, X-2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z?
(A) -4.5.
(B) -2.
(C) -1.7.
(D) 3.
(E) 6.
Rationale: X+Y = 2X+2Z
Y= X+2Z---------- 1
X-2Y = 4Z
X-4Z= 2Y--------- 2
Subtracting equation 1 from equation 2
-6Z= Y
Y/Z= -6
E is the answer
Answer: (E) 6.
Question: Find the next number ?
7,14,55,110,?
(A) 111
(B) 121
(C) 131
(D) 141
(E) 512
Rationale: 7 + 7=14
reverse the 14 so 41
41+14=55
55 reverse so 55
55 +55=110
reverse the 110 is 011 so
110+011=121
ANSWER:B
Answer: (B) 121
Question: A 300 meter long train crosses a platform in 54 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
(A) 99
(B) 289
(C) 350
(D) 882
(E) 600
Rationale: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 54 = 50/3
3(x + 300) = 2700 è x = 350m.
Answer: E
Answer: (E) 600
Question: Four boys and three girls stand in queue for an interview. The probability that they stand in alternate positions is?
Correct
(A) 1/35
(B) 1/34
(C) 1/68
(D) 1/17
(E) 1/18
Rationale: Total number of possible arrangements for 4 boys and 3 girls in a queue = 7!
When they occupy alternate position the arrangement would be like:
B G B G B G B
Thus, total number of possible arrangements for boys = (4 x 3 x 2)
Total number of possible arrangements for girls = (3 x 2)
Required probability = (4 x 3 x 2 x 3 x 2)/7!
= 1/35
ANSWER:A
Answer: (A) 1/35
Question: John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 2% and the mobile phone at a profit of 10%. Overall how much he make a profit.
(A) s. 90
(B) s. 120
(C) s. 200
(D) s. 250
(E) s. 500
Rationale: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 2/100) = 15000 - 300
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -300 + 800 = Rs. 500
As this is positive, an overall profit of Rs. 200 was made.
E
Answer: (E) s. 500
Question: players a to z play a league match in which every player plays a match against every other player. a win earns 2 points, a draw 1 point and loss 0 points. there were no draws, and no two players had the same total points. the rank list of the players happens to be the alphabetical list itself. which of the following statement is true?
(A) n wins over m
(B) m wins over n
(C) m did not play against
(D) All of them
(E) none
Rationale: m wins over n
ANSWER:B
Answer: (B) m wins over n
Question: What is the units digit of 18! + 5 ?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: Any number above 4!, such as 5!, 6!, etc... are always multiples of 10, so their units digit is 0.
The units digit of 18! + 5 is 5.
The answer is D.
Answer: (D) 5
Question: The bankerâ€™s gain on a sum due 3 years hence at 17% per annum is Rs. 100. The bankerâ€™s discount is
(A) Rs.960
(B) Rs.840
(C) Rs.296
(D) Rs.760
(E) None
Rationale: Solution
T.D	=(B.G x 100 / R x T)
= Rs.(100x100/17 x 3)
= Rs.196.
B.D
=Rs(196+ 100)
= Rs.296.
Answer C
Answer: (C) Rs.296
Question: What is the difference between 80% of 170 and 35% of 300.
(A) 30
(B) 29
(C) 37
(D) 36
(E) 31
Rationale: (80/100) * 170 â€“ (35/100) * 300
136 - 105 = 31
Answer: E
Answer: (E) 31
Question: Find the ratio of purchase price and sell price if there is loss of 12 1/(2 )%
(A) 7/8
(B) 8/7
(C) 6/8
(D) 8/6
(E) 1/2
Rationale: If purchase price is Rs 100, then SP = Rs 87.5
so ratio of purchase price and sell price if there is loss of 12 1/(2 )% = 100/87.5= 8/7
ANSWER:B
Answer: (B) 8/7
Question: The angles of a triangle are in the ratio 1:3:16. Find the measurement of the largest of three angles of triangle.
(A) 90°
(B) 100°
(C) 120°
(D) 144°
(E) 160°
Rationale: If the ratio of the three angles is 1:3:16, then the measures of these angles can be written as x, 3x and 16x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence
x + 3x + 16x = 180
Solve for x
20x = 180
x = 9
The measures of the three angles are
x = 9°
3x = 3 ×9 = 27°
16x = 16 × 9 = 144°
D
Answer: (D) 144°
Question: From a bag containing 12 identical blue balls, y identical yellow balls, and no other balls, one ball will be removed at random. If the probability is less than 2/5 that the removed ball will be blue, what is the least number of yellow balls that must be in the bag?
(A) 17
(B) 18
(C) 19
(D) 20
(E) 21
Rationale: 12/x = 2/5
x = 30 total number of balls.
There must be at least 18 yellow balls in the bag.
Answer: B.
Answer: (B) 18
Question: City A to city B, Andrew drove for 1hr at 44 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
(A) 56
(B) 57.5
(C) 61
(D) 61.5
(E) 62.5
Rationale: The total distance is 1×44+3×60=224
And the total time is 4 hours. Hence,
Average Speed=(Total Distance/Total Time)
=224/4=56
A
Answer: (A) 56
Question: Mrs. Rodger got a weekly raise of $195. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
(A) $204
(B) $231
(C) $156
(D) $195
(E) $200
Rationale: Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 195.
So after completing the 1st week she will get $ (x+195).
Similarly after completing the 2nd week she will get $ (x + 195) + $ 195.
= $ (x + 195 + 195)
= $ (x + 390)
So in this way end of every week her salary will increase by $ 195.
D
Answer: (D) $195
Question: A box contains 14 pairs of shoes (28shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
(A) 1/190
(B) 1/20
(C) 1/19
(D) 1/27
(E) 1/9
Rationale: The problem with your solution is that we don't choose 1 shoe from 28 but rather choose the needed one AFTER we just took one and need the second to be the pair of it. So, the probability would simply be: 1/1*1/27(as after taking one at random there are 27 shoes left and only one is the pair of the first one)=1/27
Answer: D
Answer: (D) 1/27
Question: How much interest will $10,000 earn in 9 months at an annual rate of 10%?
(A) $250
(B) $350
(C) $450
(D) $60
(E) $650
Rationale: Soln:-
9 months = 3/4 of year;
10% = 10/100=1/10;
$10,000(principal)*3/50(interest rate)*1/10(time)=$60.
ANSWER:D
Answer: (D) $60
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 14 with him, what was the average amount with the group before his joining the group?
(A) s.17
(B) s.20
(C) s.15
(D) s.21
(E) s.19
Rationale: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 14. So, the amount with remaining 6 people = 140 - 14 = Rs. 126
The average amount with them = 126/6
= Rs.21.
Answer:D
Answer: (D) s.21
Question: A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 4 days. How many more days are required to complete the remaining work if they work together?
(A) 2 (4/11)
(B) 3 (5/16)
(C) 3 (5/11)
(D) 3 (5/13)
(E) 3 (5/21)
Rationale: A can do 1/10 of the work in a day.
B can do 1/12 of the work in a 1 day.
Both of them together can do (1/10 + 1/12) part of work in 1 day = (6 + 5)/60 = 11/60
They take 60/11 days to complete the work together.
Given that they already worked for 4 days.
The number of days required to complete remaining work => 60/11 - 4 = 26/11 = 2 (4/11) days.
Answer:A
Answer: (A) 2 (4/11)
Question: Ayesha's father was 54 years of age when she was born while her mother was 44 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
(A) 2 years
(B) 12 years
(C) 14 years
(D) 7 years
(E) 6 years
Rationale: Explanation:
Mother's age when Ayesha's brother was born = 44 years.
Father's age when Ayesha's brother was born = (54 + 4) = 58 years.
Required difference = (58 - 44) = 14 years.
Answer: Option C
Answer: (C) 14 years
Question: If 6 (A's capital) = 8 (B's capital) = 18 (C's capital). Then the ratio of their capitals is?
(A) 12:15:16
(B) 12:15:4
(C) 12:9:4
(D) 20:15:11
(E) 20:15:19
Rationale: 6A = 8B = 18 C
A:B:C = 1/6:1/8:1/18
= 12:9:4
Answer: C
Answer: (C) 12:9:4
Question: Find the amount on Rs.4000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
(A) 4368
(B) 2678
(C) 5460
(D) 1976
(E) 1671
Rationale: 4000 * 104/100 * 105/100 => 4368
Answer: A
Answer: (A) 4368
Question: What is the median from the below series
52, 56, 59, 54, 60, 51, 63, 58, 53, 62, and 50
(A) 55
(B) 58
(C) 60
(D) 56
(E) 59
Rationale: Ordering the data from least to greatest, we get:
50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63
The median number was 56. (Five numbers were higher than 56 and five were lower.)
D
Answer: (D) 56
Question: What is the largest 4 digit number exactly divisible by 12?
(A) 4676
(B) 4678
(C) 8888
(D) 9504
(E) 9996
Rationale: Largest 4 digit number = 9999
9999 ÷ 12 = 833, remainder = 3
Hence largest 4 digit number exactly divisible by 12
= 9999 - 3 = 9996
answer :E
Answer: (E) 9996
Question: There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 14 have taken a course in finance and 15 have taken a marketing course. 10 of the employees have taken exactly two of the courses and 1 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses?
(A) 11
(B) 5
(C) 9
(D) 8
(E) 10
Rationale: 50 Employees. Counting every different attendand to the courses we have:
Accounting: 22
Finance: 14
Marketing: 15
Which would add up to 51 different attendands, which is not possible.
Now 10 have taken exactly 2 courses, which means that there are 10 less different attendands. Say that 10 of the Finance attentands also attended Accounting.
51-10= 41
1 Person has taken all three courses. As above, we subtract him from the number of different attendands. Since this time the person took all three courses, we have to substract him two times.
41-2= 39.
Answer : A
Answer: (A) 11
Question: A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 35% impurities to the product. Find the net profit percentage of the dealer?
(A) 44%
(B) 40%
(C) 68.75%
(D) 56.25%
(E) 36%
Rationale: The dealer uses weight which is 20% less than the real weight. or (1- 1/5) or 4/5 of real weight.
It means that he is selling $4 worth of product for $5.
The dealer then further added 35% impurities to the product.
It means that he is selling $5 worth of product for $6.75.
So his profit is $6.75-$4 = $2
and his profit percent is
(2.75/4)*100 = 68.75%
Answer:- C
Answer: (C) 68.75%
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 28150. What percentage of profit did he make?
(A) 22
(B) 27
(C) 40
(D) 26.5
(E) 11
Rationale: The total CP = Rs. 16000 + Rs. 6250 = Rs. 22250 and SP = Rs. 28150
Profit(%) = (28150 - 22250)/22250 * 100 = 26.5%.Answer:D
Answer: (D) 26.5
Question: A circular swimming pool is surrounded by a concrete wall 4 feet wide.if the area of the wall is 11/25 of the area of the pool, then the radius of the pool in feet is?
(A) 22
(B) 20
(C) 9
(D) 8
(E) 1
Rationale: Let the radius of the pool be r. Then area of the wall and pool = π(r+4)2π(r+4)2
Area of the pool = π(r)2π(r)2
Area of the wall = π(r+4)2−π(r)2π(r+4)2−π(r)2
Given π(r+4)2−π(r)2π(r+4)2−π(r)2 = 1125(πr2)1125(πr2)
r2+8r+16−r2=1125r2r2+8r+16−r2=1125r2
11r2−200r−400=011r2−200r−400=0
Solving r = 20
Answer:B
Answer: (B) 20
Question: Rs.200 amounts to Rs.800 in 8 years at simple interest. If the interest is increased by 5%, it would amount to how much?
(A) 520
(B) 440
(C) 260
(D) 280
(E) 120
Rationale: (200*5*8)/100 =80
200+ 80 = 280
Answer: D
Answer: (D) 280
Question: A driver would have reduced the time it took to drive from home to the store by 1/4 if the average speed had been increased by 10 miles per hour. What was the actual average speed, in miles per hour, when the driver drove from home to the store?
(A) 12
(B) 15
(C) 20
(D) 25
(E) 30
Rationale: Since the distance remains the same (we're just changing the rate and time), any increase in rate or time is met with a decrease in the other term. Decreasing the time by 1/4 would give us:
D = (R)(T) = (3T/4)(x*R)
x = 4/3 since (3T/4)(4R/3) = (R)(T) = D
4R/3 = R + 10
R/3 = 10
R= 30
The answer is E.
Answer: (E) 30
Question: An investment of d dollars at k percent simple annual interest yields $900 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $1,800 over a 3 year period?
(A) (2d)/3
(B) (3d)/4
(C) (4d)/3
(D) (3d)/2
(E) (8d)/3
Rationale: 900 dollars in 2 years means 450 dollars in 1 year.
To get 1800 dollars' it will take 4 years.
To get 1800 in 3 years, we need 4/3 times money. Answer is C.
Answer: (C) (4d)/3
Question: Find the sum of all the four digit numbers which are formed by digits 1, 2, 5, 6
A.
B.
C.
D.
(A) 933510
(B) 93324
(C) 65120
(D) 8400
(E) 7400
Rationale: There are 4!=24 four digit numbers which are formed by digits 1, 2, 5, 6.
Obviously 24/4=6 numbers will end with 1; 6 numbers will end with 2, 6 numbers with 5 and 6 numbers with 6.
6*1+6*2+6*5+6*6=6*14=84, which means that the sum of all these 24 numbers must end by 4, only answer choice with 4 at the end is B.
Answer: B.
Answer: (B) 93324
Question: How many 2 digit number satisfy the following. that last digit of the square of the 2 digit number is 8 ?
(A) 1
(B) 2
(C) 3
(D) More than three
(E) None
Rationale: as no perfect square is having last digit as 8.
ANSWER:E
Answer: (E) None
Question: What is the area of a square field whose sides have a length of 14 meters?
(A) 196 sq m
(B) 286 sq m
(C) 298 sq m
(D) 267 sq m
(E) 231 sq m
Rationale: 14 * 14 = 196 sq m
The answer is A.
Answer: (A) 196 sq m
Question: Here is a list of names with numbers assigned to them
Lavesh = 622
Anmol = 522
Shruti = 620
Aakriti = 742
Based on above Logic what is the value of Sonal ?
(A) 522
(B) 422
(C) 624
(D) 570
(E) 750
Rationale: A
1st Number = Number of alphabtes
2nd Number = Number of vowels
3rd Nummber = Number Of Circles
Lavesh = 6 alphabets + 2 vowels(a,e) + 2 circles(in 'a' and in 'e') = 622
Anmol = 5 alphabets + 2 vowels(a,0) + 2 circles(in 'a' and in 'e') = 522
Shruti = 6 alphabets + 2 vowels(u,i) + 0 circles = 620
Aakriti = 7 alphabets + 4 vowels(a,a,i,i) + 2 circles(in 'A' and in 'a') = 742
Hence,
Sonal = 5 alphabets + 2 vowels(a,o) + 2 circles(in 'a' and in 'o') = 522
Answer: (A) 522
Question: If (x - 1)^2 = 361, which of the following could be the value of x - 5?
(A) 16
(B) 14
(C) -23
(D) -25
(E) -26
Rationale: (x - 1)^2 = 361
(x - 1) = 19 or -19
x = 20 or -18
x - 5 = 15 or -23
The answer is C.
Answer: (C) -23
Question: There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 54%
(A) 18.75
(B) 19.75
(C) 20.75
(D) 33
(E) 22.75
Rationale: 60*84/100=50.40 lit milk that is 9.60 lit water
let x lit water will be added then
(60+x)*54/100=50.40
so x=33.33
ANSWER:D
Answer: (D) 33
Question: In an IT company, there are a total of 60 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?
(A) 15
(B) 50
(C) 55
(D) 35
(E) 65
Rationale: You could pick 10 non-programmers, 2 male programmers, and 2 female programmers, and still not have 3 programmers of the same sex. But if you pick one more person, you must either pick a male or a female programmer, so the answer is 15.
A
Answer: (A) 15
Question: How many number of 3's would be used to type numbers from 1 to 700
(A) 210
(B) 220
(C) 230
(D) 240
(E) 250
Rationale: 1-99--20 (3,13,23,30,31,32,33,34,35,36,37,38,39,43,53,63,73,83,93)
likewise
100-199--20
200-299--20
300-399--120 (300-399 there is extra 100 3's)
400--499--20
500--599--20
600-700--20
20+20+20+120+20+20+20=240
ANSWER:D
Answer: (D) 240
Question: A and B are working on an assignment. A takes 6 hours to type 32 pages on a computer, while B takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
(A) 3 hours
(B) 8 hours
(C) 6 hours
(D) 7 hours
(E) 9 hours
Rationale: B
8 hours
Number of pages typed by A in one hour=32/6=16/3
Number of pages typed by B in one hour=40/5=8
Number of pages typed by both in one hour=((16/3)+8)=40/3
Time taken by both to type 110 pages=110*3/40=8 hours.
Answer: (B) 8 hours
Question: If 144/x is an integer and 100/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer
(A) I only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II and III
Rationale: I think, here we should use the greatest common factor.
The greatest common factor for 144 and 108 is 36.
So 36/x is an integer.
For the rest of the answers, if x is 36 then 9/x and 12/x leads to fractions.
Ans is D.
Answer: (D) II and III only
Question: 1, 9, 25, 49, 81, ?
(A) 121
(B) 114
(C) 153
(D) 158
(E) 138
Rationale: A
121
The series consists of squares of consecutive prime numbers.
Answer: (A) 121
Question: The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 141, what is the difference between the ages of Patrick and Monica?
(A) 27
(B) 48
(C) 45
(D) 72
(E) 18
Rationale: Ages of P and Mi=3x+5x
Ages of Mi and Mo=3x:5x
Rationalizing their ages. ratio of their ages will be 9x:15x:25x
Sum=47x=141
x=3
Difference if ages of Pa and Mo=25x-9x=16x=16*3=48
Answer B
Answer: (B) 48
Question: A $74.95 lawn chair was sold for $59.95 at a special sale. By approximately what percent was the price decreased?
(A) 15%
(B) 20%
(C) 25%
(D) 60%
(E) 80%
Rationale: Listed selling price of chair = 74.95 $
Discounted selling price of chair = 59.95 $
Discount = 74.95 - 59.95 = 15 $
% decrease in price of chair = (15/74.95) * 100% = 20 % approx
Answer B
Answer: (B) 20%
Question: Linda spent 2/3 of her savings on furniture and the rest on a TV. If the TV cost her $250, what were her original savings?
(A) $750
(B) $350
(C) $650
(D) $550
(E) $850
Rationale: If Linda spent 2/3 of her savings on furniture, the rest
3 / 3 - 2 / 3 = 1 / 3 on a TV
But the TV cost her $250. So 1 / 3 of her savings is $250. So her original savings are 3 times $250 = $750
correct answer A
Answer: (A) $750
Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
(A) 6
(B) 9
(C) 8
(D) 2
(E) 3
Rationale: 1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 – 81
= 9
Answer:B
Answer: (B) 9
Question: What is the sum of the multiples of 6 from 48 to 72, inclusive?
(A) 500
(B) 600
(C) 700
(D) 300
(E) 400
Rationale: The formula we want to use in this type of problem is this:
Average*Total Numbers=Sum
First, find the average by taking the sum of the F + L number and divide it by 2:
A = (F + L)/2
Second, find the total numbers in our range by dividing our F and L numbers by 7 and add 1.
(72/6) - (48/6) + 1
Multiply these together so what we show Average*Total Numbers=Sum
(48 + 72)/2 * (72/6) - (48/6) + 1 = Sum
60 * 5 = 300
D
Answer: (D) 300
Question: A steel vessel has a base of length 60 cm and breadth 30 cm. Water is poured in the vessel. A cubical steel box having edge of 30 cm is immersed completely in the vessel. How much will the water rise?
(A) 7.5 cm rise
(B) 10 cm rise
(C) 15 cm rise
(D) 30 cm rise
(E) None of these
Rationale: Explanation:
Volume of Cube=a3=a*a*a
60cm*30cm*H=30cm*30cm*30cm
H=15cm
ANSWER IS C
Answer: (C) 15 cm rise
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 60 kg. What might be the weight of the new person?
(A) 56 kg
(B) 80 kg
(C) 85 kg
(D) Data inadequate
(E) None of these
Rationale: B
80 kg
Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (60 + 20) kg = 80 kg.
Answer: (B) 80 kg
Question: The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum T of all the digits of the integers from 0 to 99 inclusive?
(A) 450
(B) 810
(C) 900
(D) 1000
(E) 1100
Rationale: We want the sum of the digits from 0 to 99, so I approximated:
0-9 ->45-> (9+0)*10/2
40-49 ->85(13+4)*10/2
90-99 ->135(18+9)*10/2
We can see at a glance that theweightgoes up as the numbers go up (meaning the difference between 85 and 45 is 40, while 135-85 is 50, this means that the second part of this sequence carries more weight for our result), so we know that the final answer has to be more than 850 (85*10) but close to it, and that's just T=900:the answer is C.
Answer: (C) 900
Question: A certain list consists of 21 different numbers. If n is in the list and n is 2 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
(A) 1/20
(B) 1/12
(C) 1/5
(D) 4/21
(E) 5/21
Rationale: series : a1, a2....a20,n
sum of a1+a2+...+a20 = 20*x (x = average)
so, n = 2*x
Hence, a1+a2+..+a20+n = 22x
So, the fraction asked = 2x/22x = 1/12
B
Answer: (B) 1/12
Question: if the ratio of two number is 2:5 and LCM of the number is 160 then what is the number.
(A) 15
(B) 20
(C) 16
(D) 30
(E) 35
Rationale: product of two no = lcm *hcf
2x*5x=160*x
x=16
ANSWER:C
Answer: (C) 16
Question: A CREAM manufacturer produces 200 units of a certain model each month at a cost to the manufacturer of £20 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus production costs) on the sales of these units will be at least £20,000?
(A) 100
(B) 110
(C) 1120
(D) 200
(E) 220
Rationale: 200(x-20)≥20,000
x-20≥200
x≥220
Answer: Option E
Answer: (E) 220
Question: A watch was sold at a loss of 9%. If it was sold for Rs.220 more, there would have been a gain of 4%. What is the cost price?
(A) 1000
(B) 2876
(C) 1977
(D) 2778
(E) 1692
Rationale: 91%
104%
--------
13% ---- 220
100% ---- ? => Rs.1692
Answer: E
Answer: (E) 1692