mathewhe/aqua_rat huggingface dataset:
Question: A money lender lent Rs. 1000 at 3% per year and Rs. 1400 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 390. Find the number of years.
(A) 3.5
(B) 3.75
(C) 4
(D) 3.9
(E) 4.5
Rationale: (1000xtx3/100) + (1400xtx5/100) = 390 â†’ t =3.9 answer D
Answer: (D) 3.9
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
(A) 180
(B) 210
(C) 230
(D) 240
(E) 280
Rationale: Relative speed = (120 + 80) km/h =200x 5/18 m/s
= 500/ 18 m/sec
Let the length of the other train be x metres.
Then, x + 270/9 = 500/9
x + 270 = 500
x = 230.
Answer: C
Answer: (C) 230
Question: 0.0007?=0.01
(A) 70
(B) 7
(C) 0.7
(D) 0.07
(E) None of these
Rationale: Explanation :
Required Answer = 0.0007/0.01 = 0.07/1 = 0.07. Answer : Option D
Answer: (D) 0.07
Question: Find the product of the localvalue and absolutevalue of 5 in 20568?
(A) 1000
(B) 2500
(C) 1200
(D) 5000
(E) 1600
Rationale: Local value of 5 = 5 x 100 = 500
Place value of 5 = 5
There fore = 5 x 500 = 2500
B
Answer: (B) 2500
Question: A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?
(A) 288
(B) 266
(C) 288
(D) 200
(E) 111
Rationale: 25 + 25 = 50
25% ------ 50
100% ----- ? => 200
Answer: D
Answer: (D) 200
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 21.6%. What would have been the percentage of profit earned if no discount was offered?
(A) 60%
(B) 28%
(C) 30%
(D) 56%
(E) 73%
Rationale: Let C.P. be Rs. 100.
Then, S.P. = Rs. 121.60
Let marked price be Rs. x. Then, 95/100 x = 121.60
x = 12160/95 = Rs. 128
Now, S.P. = Rs. 128, C.P. = Rs. 100
Profit % = 28%.
Answer: B
Answer: (B) 28%
Question: The length of rectangle is thrice its breadth and its perimeter is 72 m, find the area of the rectangle?
(A) 432 sq m
(B) 356 sq m
(C) 243 sq m
(D) 428 sq m
(E) 528 sq m
Rationale: 2(3x + x) = 72
l = 27 b = 9
lb = 27 * 9 = 243
ANSWER:C
Answer: (C) 243 sq m
Question: John bought 20 kg of wheat at the rate of Rs.8.50 per kg and 35 kg at the rate of Rs.8.75 per kg. He
mixed the two. Approximately at what price per kg should he sell the mixture to make 40% profit as the
cost price?
(A) Rs.12
(B) Rs.8
(C) Rs.16
(D) Rs.20
(E) None of these
Rationale: Explanation :
CP=20×8.5+35×8.75=170+306.25=476.25Profit=40%SP=(100+Profit%)100×CP=(100+40)100×476.25=140
100×476.25=1404×19.05=35×19.05Total quantity = 20 + 35 = 55 KgSP per
Kg=35×19.0555=7×19.0511≈7×1911≈13311≈12
Answer : Option A
Answer: (A) Rs.12
Question: What least number should be added to 1024, so that the sum is completely divisible by 25?
(A) 1
(B) 3
(C) 2
(D) 0
(E) 5
Rationale: 1024 Ã· 25 = 40 with remainder = 24
24 + 1 = 25.
Hence 1 should be added to 1024 so that the sum will be divisible by 25
Answer: Option A
Answer: (A) 1
Question: What will be the compound interest on a sum of Rs. 23,000 after 3 years at the rate of 12% p.a.?
(A) Rs. 9313.34
(B) Rs. 9720
(C) Rs. 10123.20
(D) Rs. 10483.20
(E) None
Rationale: Amount = [23000 * (1 + 12/100)3]
= 23000 * 28/25 * 28/25 * 28/25 = Rs. 32313.34
C.I. = (32313.34- 23000) = Rs. 9313.34
ANSWER:A
Answer: (A) Rs. 9313.34
Question: Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: F17, K22, __, U32, Z37, ... What number should fill the blank?
(A) N25
(B) O26
(C) P27
(D) Q28
(E) R29
Rationale: C
P27
In this series, the letters progress by 5, and the numbers increase by 5.
Answer: (C) P27
Question: Henry eats X scones in X percent of the time it takes Rachel to eat Y scones. If Rachel eats four scones in ten minutes, then the number of minutes it takes Henry to eat 4 scones must be equal to which of the following?
(A) Y/10
(B) 200/Y
(C) 100Y/(8X)
(D) XY/200
(E) Y/(5X)
Rationale: Rachel eats 4 scones/10 minutes = 2/5 scones per minute
The time for Rachel to eat 1 scone is 5/2 minutes.
The time for Rachel to eat Y scones is 5Y/2 minutes.
The time for Henry to eat X scones is 5YX/200 minutes.
The time for Henry to eat 1 scone is 5Y/200 minutes.
The time for Henry to eat 4 scones is 20Y/200 = Y/10 minutes.
The answer is A.
Answer: (A) Y/10
Question: 20 men shake hands with each other. Maximum no of handshakes without cyclic handshakes.
(A) 190
(B) 200
(C) 210
(D) 220
(E) 230
Rationale: 1st person will shake hand with 19 people
2nd person will shake hand with 18 people
3rd person will shake hand with 17 people
......
total no. of handshakes = 19+18+17+...+3+2+1 = 19*(19+1)/2 = 190
or, if there are n persons then no. of shakehands = nC2 = 20C2 = 190
ANSWER:A
Answer: (A) 190
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 25%. What is the selling price of the cycle?
(A) s. 1050
(B) s. 1160
(C) s. 1190
(D) s. 1202
(E) s. 1204
Rationale: since,c.p=1400
loss%=(c.p-s.p)/c.p*100
25=(1400-s.p)/1400*100
so,after solving answer=1050.
ANSWER:A
Answer: (A) s. 1050
Question: A man saves Rs 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
(A) Rs 662
(B) Rs 662.01
(C) Rs 662.02
(D) Rs 662.03
(E) None of these
Rationale: Explanation:
=[200(21/20×21/20×21/20)+200(21/20×21/20)+200(21/20)]=662.02
Option C
Answer: (C) Rs 662.02
Question: How many trailing Zeroes does 49! + 50! have?
(A) 9
(B) 10
(C) 11
(D) 12
(E) 22
Rationale: 49!+50!= 51*49!
No of trailing 0's = no of 5*2
no of 2's = 49/2+49/4+49/8+49/16+49/32 = D
no of 5's = 49/5+49/25=10=P
now since
P < D
no of trailing 0's = 10
ANSWER:B
Answer: (B) 10
Question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 12 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
(A) 31.25
(B) 31.5
(C) 33.75
(D) 35.0
(E) 37.5
Rationale: Rate of flow of water in second hour = 12 gallons per hour
Rate of flow of water in first hour = 12/(3/2) = 8 gallons per hour
Rate of flow of water in third hour = (125/100)* 12 = (5/4) * 12 = 15 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 12+8+15 = 35 gallons
Answer D
Answer: (D) 35.0
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 82. How many points altogether did the team score?
(A) 662
(B) 672
(C) 652
(D) 646
(E) 721
Rationale: 8 * 82 = 656 – 10 = 646
ANSWER:D
Answer: (D) 646
Question: Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $42 of gas?
(A) 196
(B) 284
(C) 336
(D) 412
(E) 572
Rationale: 42/4 = 10.5 gallons
10.5*32 = 336 miles
The answer is C.
Answer: (C) 336
Question: Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 55 and the turban. Find the price of the turban.
(A) 27
(B) 36
(C) 29
(D) 50
(E) 11
Rationale: Let the price of turban be x.
Thus, for one year the salary = (90 + x)
For 9 months he should earn 3434 (90 + x).
Now he gets one turban and Rs. 55.
Thus, 3434 (90 + x) = 55 + x or 270 + 3x = 220 + 4x or x = 50
Answer:D
Answer: (D) 50
Question: Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 21 have taken the preparatory course and 42 have not taken the course. How many members are there in the swim club?
(A)  40
(B)  60
(C)  80
(D)  90
(E)  140
Rationale: 30% of the members have passed the test, thus 70% have not passed the test.
We also know that 42+21=63 members have not passed the test, thus 0.7*Total=63 --> Total=90.
Answer: D.
Answer: (D)  90
Question: One-third less than 30% of 180 is equal to:
(A) 15
(B) 30
(C) 36
(D) 40
(E) 45
Rationale: Lots of ways to tackle this.
30% of 180 =54
1/3 of45= 18
So, 1/3less than 54 is equal to 54- 18 = 36
Answer: C
Answer: (C) 36
Question: Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 3000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
(A) 13,000
(B) 11,600
(C) 12,000
(D) 14,000
(E) 16,400
Rationale: Let the number of shares be x.
5*x -10000(money paid in taxes) = 6(x- 3000)
Solving for x, we get the shares as 13000.
Ans :(Option A)
Answer: (A) 13,000
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
(A) 120
(B) 772
(C) 288
(D) 266
(E) 2848
Rationale: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 10 = 120 cm2
Answer: A
Answer: (A) 120
Question: Month	Average Price
per Dozen
April $1.2
May $1.20
June $3.3
The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) 1.8
(B) 1.9
(C) 2.04
(D) 2.13
(E) 2
Rationale: Say x dozen eggs were sold in May.
Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.
Total x+2x/3+4x/3=3x dozen eggs were sold in three months.
Total sales: 2x/3*1.2+x*1.2+4x/3*3.3=$6.4x. The average price per dozen 6.4x/3x=$ 2.13
D
Answer: (D) 2.13
Question: The speed of a train is 90 kmph. What is the distance covered by it in 12 minutes?
(A) 15
(B) 18
(C) 77
(D) 52
(E) 42
Rationale: 90 * 12/60 = 18 kmph
Answer:B
Answer: (B) 18
Question: An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time L will it take to fill the bucket to full capacity?
(A) 7/18
(B) 9/18
(C) 2
(D) 18/7
(E) 18/5
Rationale: Solution -
Work and Time are directly proportional. W1/W2=T1/T2
7/10 work in 6 mins
1 work in T mins
(7/10)/1 = 6/T -> T = 60/7 mins.
Remaining minutes to fill the tank L = 60/7 - 6 = 18/7 mins. ANS D.
Answer: (D) 18/7
Question: A 6% stock yields 8% . The market value of the stock is :
(A) 33
(B) 75
(C) 298
(D) 27
(E) 29
Rationale: Explanation:
For an income of Rs. 8, investment = Rs. 100.
For an income of Rs 6, investment =Rs. \inline \left ( \frac{100}{8} \times 6\right ) = Rs. 75
Market value of Rs. 100 stock = Rs. 75.
Answer: B) Rs.75
Answer: (B) 75
Question: 220 metres long yard, 21 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2 consecutive trees
(A) 10
(B) 12
(C) 14
(D) 11
(E) 17
Rationale: 21 trees have 20 gaps between them,
Required distance (220/20) = 11
D
Answer: (D) 11
Question: How many 5's are there preceded by 2 but not followed by 6?
5 9 3 2 1 2 6 7 4 9 2 5 2 1 3 2 8 2 5 1 3 8 3 2 5 6 2 5 3 9 5 8 2 0 1 8 7 4 6 3
(A) 4
(B) 5
(C) 6
(D) 8
(E) 3
Rationale: 2 5 2
2 5 3
2 5 1
Only at these places 3 is preceded by 2 but not followed by 6
Answer: E
Answer: (E) 3
Question: How much more would Rs.60000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
(A) 482
(B) 725
(C) 992
(D) 1446
(E) 923
Rationale: 60000(11/10)4 - 60000(6/5)2 = 1446
Answer:D
Answer: (D) 1446
Question: Martha takes a road trip from point A to point B. She drives x percent of the distance at 40 miles per hour and the remainder at 50 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
(A)  110
(B)  300
(C)  1,100
(D)  3,000
(E)  20,000
Rationale: total distance = d
total time taken = x/(100*40) + (100-x)/(100*50)
speed = distance / time
gives numerator = 20000
Answer : E
Answer: (E)  20,000
Question: A train covers a distance of 14 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
(A) m
(B) m
(C) m
(D) m
(E) m
Rationale: Speed = (14/10 * 60) km/hr
= (84 * 5/18) m/sec = 70/3 m/sec.
Length of the train = 70/3 * 6
= 140 m.
Answer:C
Answer: (C) m
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
(A) 3.12 km
(B) 2.88 km
(C) 3 km
(D) 2 km
(E) 4 km
Rationale: M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
ANSWER:B
Answer: (B) 2.88 km
Question: What is the dividend. divisor 18, the quotient is 9 and the remainder is 3
(A) A)145
(B) B)148
(C) C)165
(D) D)153
(E) E)158
Rationale: D = d * Q + R
D = 18 * 9 + 3
D = 162 + 3
D = 165
Answer : C
Answer: (C) C)165
Question: A boy can reach a certain place in 15 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed.
(A) 4 km/hr.
(B) 6 km/hr
(C) 8 km/hr
(D) 14 km/hr
(E) None of these
Rationale: Explanation :
Solution: Let the speed be x km/hr. then,
15x - (15 * 29x/30) = 3
=> 30x-29x = 3*2
=> x = 6 km/hr.
Answer : B
Answer: (B) 6 km/hr
Question: A dishonest milkman sells a 40 liter mixture of milk and water that contains milk and water in the ratio of 3:1. He takes out 20 liters of the mixture and replaces it with an equal amount of milk. He then takes out 20 liters of this new mixture and replaces it with an equal amount of water to create his final mixture. What is the ratio of milk and water in the final mixture?
(A) 1:1
(B) 3:5
(C) 2:3
(D) 3:2
(E) 5:3
Rationale: ............................... Milk ............... Water ....................... Total
Initial ......................30 .................... 10 .............................. 40
20 Lts mix. taken out 30-15 ............... 10-5 ........................... 40-20
20 Lts milk added..... 15+20 ................ 5 .............................. 40
20 Lts mix. taken out 35-15 ............... 5-5 ........................... 40-20
20 Lts water added..... 20 ................ 0+20 .............................. 40
New ratio = 20:20= 1:1
A
Answer: (A) 1:1
Question: Due to construction, the speed limit along an 8-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
(A) A) 4.99
(B) B) 8
(C) C) 10
(D) D) 15
(E) E) 24
Rationale: Old time in minutes to cross 8 miles stretch = 8*60/55 = 8*12/11 = 8.72
New time in minutes to cross 8 miles stretch = 8*60/35 = 8*12/7 = 13.71
Time difference = 4.99
Ans:A
Answer: (A) A) 4.99
Question: John walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 10 hours 40 minutes. He would have gained 4 hours by driving both ways. How long would it have taken for him to walk both ways.
(A) 15 h 15 min
(B) 11 h 10 min
(C) 14 h 40 min
(D) 10 h 10 min
(E) 9 h 45 min
Rationale: 1.Walking to to a viewpoint+Driving back=10 hours 40 minutes
2.Driving to a viewpoint+Driving back=10 hours 40 minutes - 4 hours=6 hours 40 minutes, thereforeone way driving=6 hours 40 minutes/2 =3 hours 20 minutes.
3. From 1.one way driving=10 hours 40 minutes-3 hours 20 minutes=7 hours 20 minutes.
4.Walking to to a viewpoint+Walking back=7 hours 20 minutes+7hours 20 minutes=14 hours 40 minutes.
Answer: C
Answer: (C) 14 h 40 min
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
(A) 10 %
(B) 5 %
(C) 12 %
(D) 16 %
(E) 20%
Rationale: Explanation:
P = (P*5*R)/100
R = 20%
Answer: E
Answer: (E) 20%
Question: The sum of present age of Abe and the age before 7 years is 33. Find the present age of Abe. What will be his age after 7 years?
(A) 25
(B) 26
(C) 27
(D) 28
(E) 29
Rationale: Present age = x
Before 7yrs, y=x-7
After 7yrs, z=x+7
By the qn,
x+(x-7)=33
2x-7=33
2x=33+7
x=40/2
x=20
z=x+7
=20+7
=27
ANSWER:C
Answer: (C) 27
Question: A train 700m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
(A) A)175kmph
(B) B)257kmph
(C) C)162kmph
(D) D)145kmph
(E) E)100kmph
Rationale: Let the speed of the train be x kmph
Speed of the train relative to man = x+5 = (x+5)*5/18 m/sec
700/[(x+5)*5/18] = 10
10(x+5) = 140*18
x = 257kmph
Answer is B
Answer: (B) B)257kmph
Question: A jar contains only red, yellow, and orange marbles. If there are 3 red, 5 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?
(A) 1/60
(B) 1/45
(C) 2/45
(D) 3/22
(E) 5/22
Rationale: 5C2*3C1=10*3=30
12C3=220
3/22
Answer: D
Answer: (D) 3/22
Question: One pump drains one-half of a pond in 2.5 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
(A) 1 hour
(B) 1.2 hour
(C) 3 hours
(D) 1.25 hours
(E) 6 hours
Rationale: The tricky part here, I believed is one half hour = 1/2. Then everything would be easy.
We have the 1st pump working rate/hour = 1/2 : 5/2 = 1/5
Working rate of 2 pumps: 1/2 : 1/2 = 1.
Working rate of 2nd pump: 1 -1/5 = 4/5--> Time taken for the 2nd pump to finish: 1 : 4/5 = 5/4 = 1.25 hours.
D
Answer: (D) 1.25 hours
Question: 6x – 5y + 3z = 23
4x + 8y – 11z = 7
5x – 6y + 2z = 10
Given the equations above, x + y + z = ?
(A)  11
(B)  12
(C)  13
(D)  14
(E)  15
Rationale: (6x – 5y + 3z) - (5x – 6y + 2z ) = 23-10
or, x+y+z = 13
Option C is the ans
Answer: (C)  13
Question: The sum of the present age of Henry and Jill is 40. What is their present ages if 8 years ago Henry was twice the age of Jill?
(A) 13 and 27
(B) 16 and 24
(C) 18 and 22
(D) 11 and 29
(E) none of these
Rationale: Let the age of Jill 8 years ago be x, age of Henry be 2x
x+8 + 2x+8 = 40
x = 8
Present ages will be 16 and 24
Answer : B
Answer: (B) 16 and 24
Question: If ‘LONDON’ is coded as ‘KNMCNM’, then ‘INDIA’ is coded as
(A) EWSTF
(B) RGTDF
(C) HMCHZ
(D) HTGCVH
(E) POJYNMK
Rationale: L= 12 = 12-1 = 11 = K
O = 15 =15-1 =14 = N
SIMILARLY,
I = 9 = 9-1 = 8 = H
N = 14 = 14-1 = 13 = M
D = 4 = 4-1 = 3 = C
A = 27 = 27 -1 = 26 = Z
SO ANS IS
HMCHZ
Answer: (C) HMCHZ
Question: Annika hikes at a constant rate of 10 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 45 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 45 minutes, for how many kilometers total did she hike east?
(A) 3.625
(B) 3.5
(C) 4
(D) 4.5
(E) 5
Rationale: Set up two R x T =D cases.
1. 1/10 km/ min x T = 2.75
from which T= 27.5 mins.
We know total journey time now is 45 +27.5 = 72.5
The rate is the same ie 1/10km/min.
set up second R x T =D case.
1/10 km/min x 72.5 = 7.25 km
Now the total journey would be halved as distance would be same in each direction. 7.25/2 =3.625.
A.
Answer: (A) 3.625
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
(A) 2000
(B) 2888
(C) 2667
(D) 2999
(E) 2122
Rationale: (10*10)/100 = 1%loss
100 --- 99
? --- 1980 => Rs.2000
Answer: A
Answer: (A) 2000
Question: Out of three consecutive odd numbers eleven times the first number is equal to addition of thrice the third number and adding 16 to four times the second . What is the first number?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Rationale: Description :
=> 11x=4(x+2)+16+3(x+4)
=> 11x=7x+36
=> 4x=36
X=9
Answer E
Answer: (E) 9
Question: Rahul is a cashew merchant in Kerala. He has cashews in sealed wooden boxes of 10kg
each. The price of the cashew increases by Rs.20 per kg for every year, but at the same
time, 10% of the cashews are eaten by rodents every year. If the price of a 1 kg of fresh
cashew is Rs.100, what is the change in his profits if he sells a sealed box after one year of
storage, rather than selling it fresh? (In Rs.)
(A) 64 more
(B) 64 less
(C) 80 more
(D) 80 less
(E) 90 less
Rationale: Price of 1kg fresh cashew = Rs.100
Therefore, price of 10kg = Rs.100 * 10 = Rs.1000
10% of 10kg which eaten by rodents = 10*10/100 = 1kg.
So, End of Year he had 10kg - 1kg = 9kg
So, he sells that 9kg with Rs.20 per kg profit = 9 * 120 = 1080.
He buy 10kg wooden box with cashew for 1000Rs and sell that for 1080Rs.
So, profit = 1080 - 1000 = 80Rs more money he get.
ANSWER:C
Answer: (C) 80 more
Question: Rs.8000 become Rs.10210 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
(A) 6 YEARS
(B) 7
(C) 5
(D) 3
(E) 4
Rationale: Explanation:
10210 = 8000(21/20)N
(21/20)5 = (21/20)N => N = 5
Answer: Option C
Answer: (C) 5
Question: 34.	The side surface of a cylinder is rolled with a rectangle. If the height of a cylinder is 16 feet and the perimeter of the circular base. Is 12 feet, what is the diagonal of the rectangle?
(A) 16
(B) 20
(C) 18
(D) 22
(E) 21
Rationale: Think of an aluminum can can. If you took off the bottom and top and cut a slit down the length, it would flatten to a rectangle. The dimensions of the rectangle are the height of the can and the circumference of the circle. Since you know both, use pythagoreans theorem or properties of 3-4-5 triangles to solve for the hypothenuse, 20. (Correct answer B)
Answer: (B) 20
Question: If 30% of 100 is greater than 50% of a number by 10, then the number is?
(A) 40
(B) 30
(C) 60
(D) 80
(E) 50
Rationale: Let the number be x
30% of 100 - 50% of x = 10
50/100 x = (30/100 * 100)-10
x/2 = 20
x = 40
Answer is A
Answer: (A) 40
Question: If A lends Rs.2000 to B at 15% per annum and B lends the same sum to C at 17% per annum then the gain of B in a period of 4 years is?
(A) 155
(B) 162
(C) 157.5
(D) 160
(E) 157.12
Rationale: (2000*2*4)/100
=> 160
Answer: D
Answer: (D) 160
Question: What is the speed of the train?
I.The train crosses a signal pole in 18 seconds.
II.The train crosses a platform of equal length in 36 seconds.
III.Length of the train is 330 metres.
(A) I and II only
(B) II and III only
(C) I and III only
(D) III and either I or II only
(E) Any two of the three
Rationale: Explanation:
Let the speed of the train be x metres/sec.
Time taken to cross a signal pole = Length of the train/Speed of the train
Time taken to cross a platform = (Length of the train + Length of the Platform)/Speed of the train
Length of train = 330 m.
I and III gives, 18 =330/x => x = 330/18 m/sec = 55/3 m/sec.
II and III gives, 36 = 2X330/x = x=660/36 m/sec = 55/3 m/sec.
Answer is (D).
Answer: (D) III and either I or II only
Question: Three grades of milk are 1 percent, 2 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
(A) y + 3z
(B) (y +z) / 4
(C) 2y + 3z
(D) 3y + z
(E) 3y + 4.5z
Rationale: X + 2Y + 3Z = 1.5(X + Y + Z)
X + 2Y + 3Z = 1.5X + 1.5Y + 1.5 Z
Add and subtract the common terms,
0.5 X = 0.5Y + 1.5Z
Divide by 0.5,
X = Y + 3 Z
ANSWER:A
Answer: (A) y + 3z
Question: A solution of 60 ounces of sugar and water is 20% sugar. How much water must be added to make a solution that is 5% sugar?
(A) 20 ounces
(B) 80 ounces
(C) 100 ounces
(D) 120 ounces
(E) 180 ounces
Rationale: 20% sugar in 60 oz solution;
Sugar = 60*20/100 = 12 oz
Water = 60-12 = 48 oz
Now; let's add "x" oz of water in the solution;
Total solution = 60+x oz
Sugar = 12 oz.(Sugar's amount will not change as we are not adding or subtracting sugar)
12 = (60+x) * 5/100
60+x = 240
x = 240 - 60 = 180 oz
Answer: "E"
Answer: (E) 180 ounces