mathewhe/aqua_rat huggingface dataset:
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
(A) 80
(B) 100
(C) 25
(D) 206
(E) 300
Rationale: We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys).
Required number
of ways	= (6C1 x 4C3) + (6C2 x 4C2) + (6C3 x 4C1) + (6C4)
= (6C1 x 4C1) + (6C2 x 4C2) + (6C3 x 4C1) + (6C2)
= (24 + 90 + 80 + 15)
= 209.
ANSWER D
Answer: (D) 206
Question: The sum of all the integers d such that -26 < d < 24 is
(A) 0
(B) -2
(C) -25
(D) -49
(E) -51
Rationale: Easy one -
-25, -24, -23,-22,...... -1,0, 1, 2...., 22, 23
Cancel everyhitng and we're left with - -25 and -24 d= -49.
D is the answer.
Answer: (D) -49
Question: Of the four numbers, whose average is 80, the first is one-fourth of the sum of the last three. The first number is ?
(A) 28
(B) 64
(C) 11
(D) 48
(E) 10
Rationale: Explanation:
Let the first number be x,
Then, sum of the four numbers = x + 4x = 5x.
so, 5x/4 = 80 or x = (80 * 4) / 5 = 64
Answer: B
Answer: (B) 64
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
(A) Rs.4532
(B) Rs.4526
(C) Rs.4598
(D) Rs.4530
(E) Rs.4528
Rationale: Area of the four walls = 2h(l + b)
Since there are doors and windows, area of the walls
= 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 5
= Rs.4530
Answer:D
Answer: (D) Rs.4530
Question: In how many different number of ways 4 boys and 2 girls can sit on a bench?
(A) 700
(B) 720
(C) 780
(D) 800
(E) 810
Rationale: npn = n!
6p6 = 6 × 5 × 4 × 3 × 2 × 1 = 720
B
Answer: (B) 720
Question: The length of a rectangle is three - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 2500 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 15 units?
(A) 440 sq.units
(B) 550 sq.units
(C) 455 sq.units
(D) 450 sq.units
(E) 150 sq.units
Rationale: Given that the area of the square = 2500 sq.units
=> Side of square = âˆš2500 = 50 units
The radius of the circle = side of the square = 50units.
Length of the rectangle = 3/5 * 50 = 30 units
Given that breadth = 15 units
Area of the rectangle = lb = 30 * 15= 450 sq.units
Answer:D
Answer: (D) 450 sq.units
Question: If Josh, Doug, and Brad have a total of $80 between them, and Josh has five times as much money as Brad but only half as much as Doug, how much money does Doug have?
(A) $8
(B) $9
(C) $27
(D) $32
(E) $50
Rationale: Josh+Doug+Brad = 72 ; Josh = 5 Brad, Josh =1/2 Doug
Josh+1/5 Josh+ 2/1 Josh = 80 (substituted the given values)
Josh = 25. 25= 1/2 Doug => Doug =50
Answer is E.
Answer: (E) $50
Question: Ramu bought an old car for Rs. 34000. He spent Rs. 12000 on repairs and sold it for Rs. 65000. What is his profit percent?
(A) 16%
(B) 17%
(C) 18%
(D) 41%
(E) 13%
Rationale: Total CP = Rs. 34000 + Rs. 12000
= Rs. 46000 and SP = Rs. 65000
Profit(%)
= (65000 - 46000)/46000 * 100
= 41%
Answer: D
Answer: (D) 41%
Question: The compound ratio of 1:4, 2:5 and 1:6?
(A) 1:3
(B) 1:4
(C) 1:10
(D) 1:30
(E) 1:60
Rationale: 1/4 * 2/5 * 1/6 = 1/601:60Answer: E
Answer: (E) 1:60
Question: When a plot is sold Rs. 18,700, the owner loses 15%. At what price must the plot be sold in order to gain 15%?
(A) Rs. 21,000
(B) Rs. 22,500
(C) Rs. 25,300
(D) Rs. 25,800
(E) None
Rationale: Solution
85 : 18700 = 115 : x or	x = (18700 x 115 / 85)
= 25300.
Hence, S.P. = Rs. 25300.
Answer C
Answer: (C) Rs. 25,300
Question: In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5 feet 8 nches. Find the % correction made by the candidate from his stated height to his actual height?
(A) 10
(B) 20
(C) 30
(D) 17
(E) 50
Rationale: His height was = 5 feet 8 inch = 8 + 60 = 68 inch. Required % correction =68*(1.25-1) = 17
D
Answer: (D) 17
Question: Three candidates contested an election and received 1136, 7636 and 13628 votes respectively. What percentage of the total votes did the winning candidate got?
(A) 55%
(B) 56%
(C) 57%
(D) 60.8%
(E) 59%
Rationale: Total number of votes polled = (1136 + 7636 + 13628) = 22400
So, Required percentage = 13628/22400 * 100 = 60.8%
ANSWER : D
Answer: (D) 60.8%
Question: The total of company C's assets in 1994 was 600% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
(A) 7N
(B) 8N
(C) 9N
(D) 12N
(E) 35N
Rationale: Let's use actual numbers. Starting in 1992, let's say company C had $100 in assets.
In 1993, the total assets were 400% GREATER, which means 1992 PLUS 400% of 1992:
$100 + 4x$100 = $100 + $400 = $500
In 1994, the total assets were 600% GREATER than they were in 1993, which means 1993 PLUS 600% of 1993:
$500 + 6x$500 = $500 + $3000 = $3500
This is 35 times the 1992 number, so the correct answer is 35N.
E
Answer: (E) 35N
Question: Suppose 8 monkeys take 8 minutes to eat 8 banana's.How many minutes would it take 3 monkeys to eat 3 banana's?
(A) 5 min
(B) 6 min
(C) 7 min
(D) 8 min
(E) 9 min
Rationale: there are equal no. of monkeys and equal no. of bananas and they take equal time and the time is 8 mint to eat a banana so each monkey take 8 mints to eat a banana's so 3 monkeys will take 8 mints to eat 3 banana's.
ANSWER:D
Answer: (D) 8 min
Question: 10 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?
(A) 30
(B) 21
(C) 18
(D) 15
(E) 45
Rationale: the formula to count handshakes is n(n−1)2n(n−1)2
Where n is the number of people
=> 10(9-1)/2 = 10*9/2 = 90/2 = 45
=> the answer is E(45)
Answer: (E) 45
Question: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 6360, what is the length of the plot in metres?
(A) 333
(B) 200
(C) 240
(D) 276
(E) 1999
Rationale: Let length of plot = L meters, then breadth = L - 20 meters
and perimeter = 2[L + L - 20] = [4L - 40] meters
[4L - 40] * 26.50 = 6360
[4L - 40] = 6360 / 26.50 = 240
4L = 280
L = 280/4= 70 meters.
Answer: C
Answer: (C) 240
Question: A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number T of tickets sold by the male members of the association
(A) 50
(B) 56
(C) 58
(D) 62
(E) 66
Rationale: Given that, Total average T sold is 66, Male/Female = 1/2 and Female average is 70. Average of Male members isX.
(70*F+X*M)/(M+F) = 66 -> Solving this equation after substituting 2M=F, X = 58. ANS C.
Answer: (C) 58
Question: What is the simplified result of following the steps below in order?
(1)	add 5y to 2w
(2)	multiply the sum by 3
(3)	subtract w + y from the product
(A) 5w + 14y
(B) 5x + 16y
(C) 5x + 5y
(D) 6x + 4y
(E) 3x + 12y
Rationale: 3(5Y+2W) -W-Y= 14Y+5W
'A' is the answer
Answer: (A) 5w + 14y
Question: The length of the bridge, which a train 120 m long and traveling at 45 km/hr can cross in 30 sec is?
(A) 377
(B) 367
(C) 237
(D) 255
(E) 267
Rationale: Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (120 + x)/30 = 25/2
x = 255 m.
Answer: D
Answer: (D) 255
Question: Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 30% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
(A) 5%
(B) 10%
(C) 15%
(D) 25%
(E) 20%
Rationale: The formula is
n(AUBUC) = n(A)+n(B)+n(C)-B+A-N
where B is both (it will sum of (AB), (BC), (CA)).
and A is All
and N is neither
so plugging in we get
100 = 60+50+30+10-B-0
B = 50.
exactly two = 50 - 3(10) = 20
subtracting 10% three times as this value is including in all the (AB), (BC), (CA).
Answer E
Answer: (E) 20%
Question: Paul's income is 20% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income?
(A) 	26/27
(B) 	13/17
(C) 	13/19
(D) 	12/19
(E) 	11/19
Rationale: MAKE R = 10
P = 0.8R = 8
Q = 0.8P = 6.4
S= 0.6P = 4.8
FOR THAT WE GET S = 10.8
AND Q 10.4
SO 10.4/10.8= 2.6/2.7
Ans:A
Answer: (A) 	26/27
Question: Mercury travels around the Sun at an approximate speed of 28.8 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles)
(A) 172,800
(B) 124,600
(C) 93,400
(D) 72,200
(E) 60,100
Rationale: The speed is 28.8 miles/s. Then 28.8/0.6 = 48 km/s
48*3600 = 172,800 kph
The answer is A.
Answer: (A) 172,800
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
(A) 75%
(B) 25%
(C) 28%
(D) 85%
(E) 28%
Rationale: 800 --- 200
100 --- ? => 25%
Answer: B
Answer: (B) 25%
Question: A man can do a job in 15 days. His father takes 10 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
(A) 6.3
(B) 6.9
(C) 7.1
(D) 6.1
(E) 6.2
Rationale: 1 day work of the three persons = (1/15 + 1/10 + 1/25) = 21/150
So, all three together will complete the work in 150/21 = 7.1 days.
Answer:C
Answer: (C) 7.1
Question: A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
(A) 2660
(B) 1000
(C) 2300
(D) 4000
(E) None of these
Rationale: Explanation :
A is a working member and for that, he receive 5% of the profit
= 5% of 7400 = 5*7400/100 = 370
Remaining amount = 7400-370 = 7030
Ratio of their investments = 6500*6 : 8400*5 : 10000*3
= 65*6 : 84*5 : 100*3 = 13*6 : 84 : 20*3 = 13*2 : 28 : 20
= 13 : 14 : 10
Share of B in the profit = 7030 * (14/37) = 190*14 = 2660. Answer : Option A
Answer: (A) 2660
Question: Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 3010 miles?
(A) Five hours and 0 minutes.
(B) One hour and 10 minutes.
(C) Two hours and 25 minutes.
(D) Three hours and 15 minutes.
(E) Four hours and 20 minutes.
Rationale: Answer is A. Five hours and 0 minutes.
Since they are racing towards each other, the speed is accumulative, ie. 350 mph + 350*0.72 = 602 (0.72 because the second train is 28% slower)
So time before collision is total distance / total speed = 3010/602 = 5 hours
Answer: (A) Five hours and 0 minutes.
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
(A) 120 sec
(B) 176 sec
(C) 178 sec
(D) 187 sec
(E) 189 sec
Rationale: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM { 600/ (36 * 5/18) , 600/ (54 * 5 /18) }
= LCM (60, 40) = 120 sec.
Answer: A
Answer: (A) 120 sec
Question: When all the students in a school are made to stand in rows of 50, 25 such rows are formed. If the students are made to stand in rows of 30, how many such rows will be formed ?
(A) 41
(B) 36
(C) 38
(D) 19
(E) 21
Rationale: Explanation:
Total number of students = 50 x 25
When arranged in rows of 30, number of rows formed are,
= 41.
Answer: A
Answer: (A) 41
Question: A cement mixture is composed of 3 elements. By weight, 1/3 of the mixture is sand, 1/4 of the mixture is water, and the remaining 10 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds?
(A) 24
(B) 26
(C) 28
(D) 30
(E) 36
Rationale: Let the total weight be x.
Sand content= (1/3)x
Water content= (1/4)x
Gravel=x-(1/3)x-(1/4)x=(5/12)x=10
x=24
Then answer will be A=24
Answer: (A) 24
Question: Find the least number of 5 digits, which is exactly divisible by 89.
(A) 27
(B) 37
(C) 932
(D) 12
(E) 91
Rationale: ANSWER:A
Answer: (A) 27
Question: If a sequence of 8 consecutive odd integers with increasing values has 5 as its 7th term, what is the sum of the terms of the sequence?
(A) -8
(B) -4
(C) 0
(D) 4
(E) 8
Rationale: Let x be the first term.
Then x + 12 = 5 and x = -7
The sum is: x + (x+2) +...+ (x+14) =
8x + 2(1+2+...+7) = 8x + 2(7)(8) / 2 = 8(-7) +56 = 0
The answer is C.
Answer: (C) 0
Question: A clock store sold a certain clock to a collector for 25 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 55 percent of what the collector had paid. The shop then sold the clock again at a profit of 70 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $125, for how much did the shop sell the clock the second time?
(A) $500
(B) $467.5
(C) $935
(D) $525.5
(E) $465.5
Rationale: Now, in the question above, lets say the original cost of the clock to store was C$ and then it sold the same to the collector at 25% profit.
This means the clocks' selling price was C (1.25) and this becomes cost price for the collector.
Now, when the collector tries to sell the same clock to the store, the store buys it for 55% the price at which the collector bought it.
Thus, you get = 1.25*0.55*C = 0.6875 C
Furthermore, the store sells the clock for the second time for 70% profit and thus the selling price of the clock becomes = cost price of the clock for the store at buy-back * 1.7 = 1.7 * 0.6875 C
Finally given that C - 0.6875 C = 125 ----> C = 400$
Thus, the cost of the clock the second time around = 1.7*0.6875 C = 1.7 * 0.6875 * 400 = 467.5$. Hence B is the correct answer.
Answer: (B) $467.5
Question: Which one of the following is equal to 3.14×10(6)?
(A) 314
(B) 3140
(C) 3140000
(D) None of these
(E) Cannot be determined
Rationale: Solution
Given, 3.14 ×106	=3.140000×1000000
= 3140000.
Answer C
Answer: (C) 3140000
Question: A four digit number divisible by 7 becomes divisible by 3 when 16 is added to it. The largest such number is :
(A) 8847
(B) 8853
(C) 8871
(D) 8856
(E) 8897
Rationale: Out of all the 5 options, only 8897 is NOT divisible by 3. All others are divisible
So Answer = E (No further calculation required)
Addition of any two non-divisible numbers by 3 gives the resultant divisible by 3
16 is non-divisible by 3; we are adding a number to that so that the resultant becomes divisible by 3
Applying the above rule,It means that the number which we are going to add should be non-divisible by 3
So comes the answer = 8897
Answer : E
Answer: (E) 8897
Question: Marts income is 60 percent more than Tims income and Tims income is 40 percent less than Juans income. What percentage of Juans income is Marts income
(A) 124%
(B) 120 %
(C) 96 %
(D) 80 %
(E) 64 %
Rationale: Tim=100
Mary's income is 60 percent more than tims income;
Mary's Income = T+0.6T = 1.6T = 1.6*100=160
Tims income is 40 percent less than juans income .
100 is 40% less than Juan's Income
100=J-0.4J
100=0.6J
J = 100/0.6=1000/6
What percentage of juans income is marts income
(160/(1000/6))*100 = (160*6*100)/1000 = 96%
ANSWER:C
Answer: (C) 96 %
Question: A woman begins bicycling with a pace of 8 kmph and she increases her pace every two hours by 2 kmph. She does not increase her pace as soon as her pace reaches her maximum speed of 12 kmph. How many hours did she bicycle if she traveled 64 kms?
(A) 6 1â„7 hours
(B) 6 2â„7 hours
(C) 8 2â„7 hours
(D) Cannot be determined
(E) None of these
Rationale: Distance covered in first two hours = 8 Ã— 2 = 16 km
Distance covered in next two hours = 10 Ã— 2 = 20 km
Distance covered in next two hours = 12 Ã— 2 = 24 km
Distance covered in first six hours
16 + 20 + 24 = 60 km
Remaining distance = 64 â€“ 60 = 4 km.
Now, this distance will be covered at the speed of 12 km/hr.
âˆ´ Time taken = 4â„12 = 1â„3 hour.
Total time= 6 + 1â„3 = 6 1â„3 hour
Answer E
Answer: (E) None of these
Question: In a school there are 4 sections in LKG. Average students of the section is 30. A, B, C sections have 28, 30, 34 students respectively. Therefore how much students in section D?
(A) 30
(B) 29
(C) 35
(D) 32
(E) 28
Rationale: EXPLANATION
Total students of 3 sections = (28 + 30 + 34) = 92
Students of section D = [ (30 x 4) – 92 ]
= (120 – 92)
= 28
Answer E
Answer: (E) 28
Question: 4, 9, 13, 22, 35, ?
(A) 57
(B) 70
(C) 63
(D) 75
(E) 78
Rationale: Sum of two consecutive numbers of the series gives the next number.
Answer : A.
Answer: (A) 57
Question: A does 4/5th of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
(A) 23 days
(B) 37 days
(C) 37 ½ days
(D) 40 days
(E) 41 days
Rationale: Explanation:
A can finish the whole work in 20 × 5/4 days = 25 days
A and B together finish the whole work in 5 × 3 days = 15 days
Therefore, B can finish the whole work in 25 B/ 25 + B = 15
25 B = 15 ( 25 + B)= 375 + 15B
10B = 375 and B = 375/10 = 37 ½ days.
Answer: Option C
Answer: (C) 37 ½ days
Question: Two dogsled teams raced across a 500-mile course in Alaska. Team A finished the course in 5 fewer hours than team B. If team A’s average speed was 5 miles per hour greater than that of team B, what was team B’s average speed, in miles per hour?
(A) 12
(B) 15
(C) 18
(D) 20
(E) 25
Rationale: Let v be team B's average speed.
Time = Distance/Rate and the time difference was 5 hours.
500/v - 500/(v+5)= 5
500v + 2500 - 500v = 5(v)(v+5)
500 = (v)(v+5)
(20)(25) = (v)(v+5)
v = 20 mph
The answer is D.
Answer: (D) 20
Question: Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15kmph. At what speed must he travel to reach A at 1 PM?
(A) 10 kmph
(B) 11 kmph
(C) 12 kmph
(D) 14 kmph
(E) 16 kmph
Rationale: Let the distance travelled by x km.
Then, x - x = 2
10 15
3x - 2x = 60
x = 60 km.
Time taken to travel 60 km at 10 km/hr = 60 hrs = 6 hrs.
10
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Required speed = 60 kmph. = 12 kmph.
5
C
Answer: (C) 12 kmph
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
(A) 152600m2
(B) 153500m2
(C) 153600m2
(D) 153800m2
(E) 153700m2
Rationale: Explanation:
Question seems to be typical, but trust me it is too easy to solve, before solving this, lets analyse how we can solve this.
We are having speed and time so we can calculate the distance or perimeter in this question.
Then by applying the formula of perimeter of rectangle we can get value of length and breadth, So finally can get the area. Lets solve it:
Perimeter = Distance travelled in 8 minutes,
=> Perimeter = 12000/60 * 8 = 1600 meter. [because Distance = Speed * Time]
As per question length is 3x and width is 2x
We know perimeter of rectangle is 2(L+B)
So, 2(3x+2x) = 1600
=> x = 160
So Length = 160*3 = 480 meter
and Width = 160*2 = 320 meter
Finally, Area = length * breadth
= 480 * 320 = 153600
ANSWER IS C
Answer: (C) 153600m2
Question: The average age of 6 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
(A) 24
(B) 25
(C) 26
(D) 27
(E) 28
Rationale: 20 + 24 + 6 * 2 = 56/2 = 28
ANSWER:E
Answer: (E) 28
Question: In how many different number of ways 4 boys and 4 girls can sit on a bench?
(A) 40320
(B) 42345
(C) 23456
(D) 40567
(E) 34567
Rationale: npn = n!
8p8 = 8 x 7 x 6 × 5 × 4 × 3 × 2 × 1 = 40320
A)
Answer: (A) 40320
Question: A can finish a work in 18 days and B can do same work in half the time taken by A. then working together, what part of same work they can finish in a day
(A) 1/6
(B) 1/9
(C) 1/11
(D) 1/3
(E) None
Rationale: A's 1 day work = 1/18
B's 1 day work = 1/9
(A+B)'s one day work = (1/18+1/9)=1/6
Answer: A
Answer: (A) 1/6
Question: If x ≠ 0 and (−y^2 + xy)/x=y+x, which of the following expressions is equal to its opposite?
(A) x^2
(B) x^2 + y^2
(C) y^2
(D) (y + x)^2
(E) (x – y)^2
Rationale: (−y^2 + xy)/x=y+x
=> −y^2 + xy = xy +x^2
=> x^2 + y^2 = 0
Answer B
Answer: (B) x^2 + y^2
Question: x varies inversely as square of y. Given that y=3 for x=1. The value of x for y = 2 will be equal to:
(A) 3
(B) 6
(C) 1/9
(D) 1/3
(E) 9/4
Rationale: Explanation :
Solution: Given x = k/y^2, where k is constant. Now, y=3 and x =1 gives k = 9.
.'. x = 9/y^2
=> x =9 /2^2 = 9/4
Answer : E
Answer: (E) 9/4
Question: A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. He also uses a 900 gram weight instead of a 1 kilogram weight. Find his percentage profit due to these maneuvers?
(A) 8%
(B) 12%
(C) 20%
(D) 16%
(E) None
Rationale: Solution: He sells only 900 grams when he takes the money for 1 kg.
and
he sells at a 8% profit (20% markup, 10% discount).
Hence, his selling price is Rs. 108 for 900 grams.
% profit = (18/90)*100 = 20%.
Answer: Option C
Answer: (C) 20%
Question: Number of handshakes in a party is 28.Find the number of people present in the party altogether?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Rationale: no. of handshakes (ie) n(n-1)/2= 28
therefore no. of people present
n(n-1)=56
n2-n-56=0
n=8
No. of people present = 8
ANSWER:D
Answer: (D) 8
Question: If the time is currently 1:30pm, what time will it be in exactly 239 hours?
(A) 12:30am
(B) 1:30am
(C) 12:30pm
(D) 2:30pm
(E) 10:30pm
Rationale: Every 24 hours will bring us to the same 1:30pm. 240 is divisible by 24 (10*24=240), so if it were 240 hours we would have 1:30pm, but since it's 239 hours then it will be 1 hour less, so 12:30pm.
Answer: C.
Answer: (C) 12:30pm
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
(A) Rs. 375
(B) Rs. 400
(C) Rs. 600
(D) Rs. 800
(E) Rs. 900
Rationale: Explanation:
C's 1 day's work =1/3-(1/6+1/8)=1/3-7/24=1/24
A's wages : B's wages : C's wages =1/6:1/8:1/24=4:3:1
C's share (for 3 days) = Rs.(3X1/24X3200)=Rs. 400
ANSWER IS B
Answer: (B) Rs. 400
Question: An agent buys a T.V. set listed at Rs. 10000 and gets 10% and 20% successive discounts. He spends 10% of his C.P. on transport. At what price (in rupees) should he sell the T.V. set to earn a profit of 10%?
(A) 8692
(B) 8702
(C) 8712
(D) 8722
(E) None of these
Rationale: Net price after two discounts=80% of 90% of Rs. 10000=Rs. 7200.
Net C.P.=(7200+10% of Rs. 7200)=7920.
Therefore, S.P. =110% of Rs. 7920=Rs. 8712.
ANSWER:C
Answer: (C) 8712
Question: A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 90 on the S scale?
(A) 32
(B) 36
(C) 42
(D) 48
(E) 54
Rationale: A change of +18 on the R scale is a change of +30 on the S scale.
R = (18/30)*S + K = 3S/5 + K
6 = 3(30)/5 + K
K = -12
R = 3S/5 - 12
R = 3(90)/5 - 12 = 54-12 = 42
The answer is C.
Answer: (C) 42
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 14 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
(A) 40
(B) 77
(C) 48
(D) 52
(E) None of these
Rationale: Let the capacity of the can be T litres.
Quantity of milk in the mixture before adding milk = 4/9 (T - 14)
After adding milk, quantity of milk in the mixture = 6/11 T.
6T/11 - 14 = 4/9(T - 14)
10T = 1386 - 616 => T = 77.
ANSWER:B
Answer: (B) 77