mathewhe/aqua_rat huggingface dataset:
Question: Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many L minutes it takes John to reach the station?
(A) 5 min
(B) 6 min
(C) 7 and 1/2 min
(D) 8 min
(E) 10 min
Rationale: Since the question states “after 15 minutes”, we can say Tom traveled 15/4km for 15 minutes as he can travel 15km per hour. Hence, using the same logic, we can say John traveled 10/4km as he travels 10km per hour. So, John has to travel (15/4)-(10/4)km=5/4km more. Since John’s speed is 10km/hour, which means 1km/6minutes. As he has to travel 5/4km more, it is going to take him 6(5/4) minutes. Hence,L 6(5/4)=15/2 minutes. The correct answer is C.
Answer: (C) 7 and 1/2 min
Question: A train traveling at 180 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. What is the length of the platform in meters?
(A) 240 meters
(B) 360 meters
(C) 420 meters
(D) 600 meters
(E) Cannot be determined
Rationale: Answer
Distance covered by the train when crossing a man and when crossing a platform
When a train crosses a man standing on a platform, the distance covered by the train is equal to the length of the train.
However, when the same train crosses a platform, the distance covered by the train is equal to the length of the train plus the length of the platform.
The extra time that the train takes when crossing the platform is on account of the extra distance that it has to cover. i.e., length of the platform.
Compute length of platform
Length of the platform = speed of train * extra time taken to cross the platform.
Length of platform = 180 kmph * 12 seconds
Convert 180 kmph into m/sec
1 kmph = 5/18 m/s (This can be easily derived. But if you can remember this conversion, it saves a good 30 seconds).
∴ 180 kmph = 5/18∗180 = 50 m/sec
Therefore, length of the platform = 50 m/s * 12 sec = 600 meters.
Choice D
Answer: (D) 600 meters
Question: A certain gallery is hanging a series of 8 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?
OE
(A) 1440
(B) 200
(C) 122
(D) 80
(E) 16
Rationale: We need to consider them separately because the question specifies:
1. Panel paintings have to be placed only at 2nd and 6th place.
2. Implies that Canvas has to be placed 1,3,4,5,7, 8th place.
So we have two separatebucketsto consider.
So panels can be ordered in 2!
Canvas can be ordered in 6!
since relative position of panels to canvas is fixed (Panels 2nd and 6th) the answer is 2! x 6!=1440
A
Answer: (A) 1440
Question: Perimeter of the backwheel =9 feet,front wheel=7 feet on a certain distance ,the front wheel gets 10 revolution more than the back wheel.what is the distance
(A) 315
(B) 2888
(C) 270
(D) 18191
(E) 112
Rationale: Let the backwheel made x revolutions then front wheel makes x + 10
x x 9 = (x + 10) x 7
x = 35
So distance traveled = 35 x 9 = 315
Answer:A
Answer: (A) 315
Question: In how many ways can 5 apples (identical) be distributed among 4 children? (Some children may get no apples.)
(A) 56
(B) 144
(C) 200
(D) 256
(E) 312
Rationale: Let's just represent apple by the letter A and assume that in order to distribute these apples to different people, we just need to partition them in to 4 baskets.
In order to partition the apples in to 4 baskets, we would need three Partition bars , as shown below:
A | A | AA | A
Child 1 Child 2 Child 3 Child 4
So basically we have 3 identical partition bars and 5 identical apples, how many ways can we arrange these?
8!/5!3! = 56
ANS:A
Answer: (A) 56
Question: A box contains seven bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
(A) 34/35
(B) 125/186
(C) 125/126
(D) 125/186
(E) 125/128
Rationale: Required probability
= 1 - 1/35
= 34/35
Answer: A
Answer: (A) 34/35
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 12?
(A) 7
(B) 21
(C) 34
(D) 47
(E) 6
Rationale: So the number given is N = 143Q + 45
If this number is divided by 13, the remainder would be R[(143Q + 45)/13]
Since 143 is divisible by 13 , the product 143Q gives no remainder
This means the remainder of 45/13 should be the remainder of the entire number N
which is 6
To make it divisible by 13 , the smallest number that can be added = 12 - 6 = 6
Correct Option : E
Answer: (E) 6
Question: In a family 13 people eat only vegetarian, 8 people eat only non veg., 6 people eat both veg and non veg.. How many people eat veg in the family?
(A) 20
(B) 11
(C) 19
(D) 31
(E) 21
Rationale: Total people eat veg = only veg + both veg and non veg
Total= 13+6= 19
Answer = C
Answer: (C) 19
Question: A certain fraction has the same ratio to 1/33, as 3/4 does to 7/11. What is this certain fraction?
(A) 1/14
(B) 1/18
(C) 1/21
(D) 1/25
(E) 1/28
Rationale: x / (1/33) = (3/4) / (7/11)
x = 3*11*1 / 33*4*7 = 1/28
The answer is E.
Answer: (E) 1/28
Question: A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many science books were there at the starting?
(A) 650
(B) 670
(C) 700
(D) 800
(E) 890
Rationale: science books sold = 2x × 0.2 = 0.4x
science books unsold = 2x – 0.4x = 1.6x
art books sold = 5x × 0.2 = x
art books unsold = 5x – x = 4x
total books unsold = 1.6x + 4x = 5.6x
5.6x = 2240
x = 400
2x science = 800
D
Answer: (D) 800
Question: In how many ways can 5 boys be allotted four different HOSTEL ROOMS such that none of the rooms are empty and all the 5 boys are accommodated?
(A) 260
(B) 240
(C) 280
(D) 290
(E) 300
Rationale: 4 boys can be selected from 5 boys in 5C4 ways = 5
4 boys can be arranged in 4 rooms in 4! ways
and since 1 boy has to share a room with one of the 4 boys, therefore total ways = 2! = 2
Hence total number of ways in which allocation can be done = 5C4 * 4! * 2! = 5*2*4! =240
B
Answer: (B) 240
Question: A person travels from X to Y and vice versa. How long will it take to travel both the ways by bus?
(A) It takes 15 hours in travelling from X to Y by train and returning by bus.
(B) The distance between two places is 360 km.
(C) He can save 3 hrs if he travels both the ways by train.
(A) A and B together
(B) B and C together
(C) A and C together
(D) Any two of them
(E) All statements are required
Rationale: from x to y and y to x it takes 15hrs
let time taken by train be a and by bus be b
so a+b=15
train takes 3 hrs less i.e,
a+a=12
2a=12
a=6
6+b=15
b=9
2b=18hrs
ANSWER:C
Answer: (C) A and C together
Question: what is the remainder when 788863203 is divided by 990
(A) 693
(B) 369
(C) 769
(D) 639
(E) 469
Rationale: 788863203 / 990
788863203 / 9*110
87651467 / 110 => rem = 77
we have cancelled it by 9
reqd remainder = 9*77 = 693
ANSWER:A
Answer: (A) 693
Question: A man purchased 5 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
(A) A)250
(B) B)350
(C) C)450
(D) D)470
(E) E)500
Rationale: Explanation:
10 * 150 = 1500
5 * 100 + 5 * 150 = 1250
1500 – 1250 = 250
A
Answer: (A) A)250
Question: The standard serial numbers for a temporary ID card in a institution are 2 letters followed by 5 digits. How many different ID cards are possible if letters and digits can be repeated?
(A) 26 × 3 × 10 × 4
(B) 26 × 25 × 24 × 10 × 9 × 8 × 7
(C) 26³ × 9 × 9 × 9 × 9
(D) 26 × 25 × 24 × 10 000
(E) 26 x 26 x 100 000
Rationale: OFFICIAL SOLUTION:
(E) The formula for permutations of events is the product of the number of ways each event can occur. There are 26 letters and 10 digits. So there are 26 × 26 options for the two letters, and 10 × 10 × 10 × 10 x 10 for the five digits. The number of different license plates is 26 × 26 × 10 × 10 × 10 × 10 x 10 = 26 x 26 × 100 000.
The correct answer is choice (E).
Answer: (E) 26 x 26 x 100 000
Question: A number when divided by 20 leaves 6 as a remainder. What will be the remainder if the number is divided by 19?
(A) 7
(B) 6
(C) 5
(D) 11
(E) 13
Rationale: Let the minimum whole number be 20+6=26 where 6 is the remainder.
26 when divided by 19 then leaves 7.
Correct answer A.
Answer: (A) 7
Question: If p and q are positive integers each greater than 1, and 15(p+1)=29(q+1), what is the least possible value of p+q?
(A) 36
(B) 42
(C) 44
(D) 46
(E) none
Rationale: 17(p+1)=29(q+1) --> (p+1)/(q+1) = 29/17 --> the least positive value of p+1 is 29, so the least value of p is 28 and the least positive value of q+1 is 15, so the least value of q is 14 --> the least value of p+q is 28+14=42.
Answer: B.
Answer: (B) 42
Question: If (1/2)^22 (1/81)^k = 1/18^22, then k =
(A) 8
(B) 12
(C) 16
(D) 24
(E) 11
Rationale: I'm going to focus on denominator only..
(2^22) . ((3^4)^k = 18^22
(2^22) . ((3^4k) = (2. 3^2)^22
(2^22) . ((3^4k) = (2^24) . (3^2)^22
hence
4k = 44
k = 11
answer E
I hope it's quite clear
Answer: (E) 11
Question: A circle is inscribed in a Triangle of side 6cm. And a square is inscribed in the Circle. What is the area of square?
(A) 4 cm^2
(B) 6 cm^2
(C) 5 cm^2
(D) 7 cm^2
(E) 8 cm^2
Rationale: the radius of the incircle in a equilateral triangle is a/2(sqrt)3 where a=side of triangle=6 cm
so the diameter of the circle would be the diagonal of square
so diagonal=2*a/2(sqrt)3=a/(sqrt)3
so area of square=1/2*(diagonal)^2=6*6/2*3=6 cm^2
ANSWER:B
Answer: (B) 6 cm^2
Question: For any numbers a and b, a#b = ab(7 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
(A) 6,5,
(B) 6,5,4,
(C) 6,5,4,3,
(D) 6,5,4,3,2
(E) 6,5,4,3,2,1
Rationale: a#b positive then b may be positive or negative. if positive then b< 7 may be 6,5,4,3,2 or 1 and if negative then it is more than or equal to - 1 negative . ab will be -ve which is not possible as a and a#b should be positive.
ans 6,5,4,3,2,1
E
Answer: (E) 6,5,4,3,2,1
Question: Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?
(A) 6400
(B) 6500
(C) 7200
(D) 7500
(E) None
Rationale: Explanation: Let the sum invested in Scheme A be x and that in Scheme B be (13900 - x).
Then, (x x 14 x 2)/100 + ((13900 - x) x 11 x 2)/100 = 3508
28x - 22x = 350800 - (13900 x 22)
6x = 45000
x = 7500.
So, sum invested in Scheme B = (13900 - 7500) = 6400.
Answer: Option A
Answer: (A) 6400
Question: 4 different airplanes owned by a rock band will be refueling today at the same airport. There are 2 larger planes carrying people and 2 smaller planes carrying equipment. All tanks are empty and will need to be filled completely. The 2 smaller tanks hold 60 liters each and the larger tanks are 50% bigger. Fuel is .50 cents a liter and there is a charge of $100 service for each plane. How much will it cost to fill all 4 planes?
(A) $475
(B) $500
(C) $525
(D) $550
(E) $575
Rationale: Lots of calculations.
100*4 + 2*60*.50+ 60*(3/2)*2*.50
Answer=$550
The correct option is D
Answer: (D) $550
Question: The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 432 metres, what is its area?
(A) 11320 sq.metres
(B) 11260 sq.metres
(C) 11280 sq.metres
(D) 11340 sq.metres
(E) None of these
Rationale: Let the length and breadth be 7x and 5x respectively.
Then, P = 2(7x + 5x) = 432â‡’ x = 18
Area = 7 Ã— 18 Ã— 5 Ã— 18 = 11340 sq.m.
Answer D
Answer: (D) 11340 sq.metres
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
(A) 28 sec
(B) 16 sec
(C) 21 sec
(D) 11 sec
(E) 18 sec
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35
= 16 sec
Answer:B
Answer: (B) 16 sec
Question: The number of boxes in a warehouse can be divided evenly into 9 equal shipments by boat or 24 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
(A)  27
(B)  33
(C)  72
(D)  81
(E)  162
Rationale: Answer is the LCM of 9 and 24
= 72
Answer C
Answer: (C)  72
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre
(A) 22488
(B) 16500
(C) 27889
(D) 23778
(E) 29982
Rationale: Explanation:
Area = 5.5 × 3.75 sq. metre.
Cost for 1 sq. metre. = Rs. 800
Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500
Answer: B) Rs.16500
Answer: (B) 16500
Question: By selling a house for Rs.45000, it was found that 1/4 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
(A) 38020
(B) 38000
(C) 38028
(D) 38019
(E) 34200
Rationale: CP + CP/4 = 45000
CP = 36000
SP = 36000*(95/100)
=34200
Answer: E
Answer: (E) 34200
Question: 9 friends bought a building together for 1 million dollars. If the each person in the entire group has to pay the same amount and none of them have bills smaller than $1, how much money would they each have to pay?
(A) $1,000,000
(B) $1,000,001
(C) $1,000,004
(D) $1,000,007
(E) $1,000,009
Rationale: In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 1,000,000 = 1 and 9 is divisible by 9.
Hence, we need to add 9 to this number for it to be divisible by 9
Correct Option: E
Answer: (E) $1,000,009
Question: Of the 55 cars on a car lot, 40 have air-conditioning, 25 have power windows, and 12 have both air-conditioning and power windows. How many of the cars on the lot have neither air-conditioning nor power windows?
(A)  15
(B)  8
(C)  10
(D)  2
(E)  18
Rationale: Total -Neither = All Air Conditioning + All Power Windows - Both
or 55 - Neither = 40 + 25 -12 = 53.
=> Neither = 2, hence D.
Answer : D
Answer: (D)  2
Question: In a tree, 3/5 of the birds are parrots while the rest are toucans. If 1/3 of the parrots are female and 3/4 of the toucans are female, what fraction of the birds in the tree are male?
(A) 1/2
(B) 2/5
(C) 3/5
(D) 3/10
(E) 7/10
Rationale: The fraction of birds that are male parrots is (2/3)(3/5)=2/5.
The fraction of birds that are male toucans is (1/4)(2/5)=1/10.
The total fraction of male birds is 2/5 + 1/10 = 1/2.
The answer is A.
Answer: (A) 1/2
Question: there is four different color cloth strip.how many different flag you can make using these strip?if you want to to make multicolour flag then you must use different strip horizontally.
(A) 50
(B) 64
(C) 48
(D) 120
(E) 24
Rationale: total no.of flag using all four strip=4P4=4!=24
total no. of flag using three strip=4P3=4!/1!=24
total no. of flag using two strip=4P2=4!/2!=12
total no. of flag using one strip=4P1=4!/3!=4
total no. of flag=24+24+12+4=64
answer B
Answer: (B) 64
Question: The difference between the local value and the face value of 7 in the numerical 32675149 is
(A) 75142
(B) 64851
(C) 5149
(D) 69993
(E) None of them
Rationale: =(local value of 7)-(Face value of 7)
=(70000-7)
=69993
Answer is D
Answer: (D) 69993
Question: 7, 35, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence?
(A) 398
(B) 259
(C) 322
(D) 686
(E) 847
Rationale: Simplifying the question into easier words we just need to find which of the numbers is not divisible by 7
clearly the answer is 398 because if we divide 398 by 7 we get a remainder of 56.85
Correct answer - A
Answer: (A) 398
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
(A) 15%
(B) 16.66%
(C) 17.8%
(D) 19%
(E) 21%
Rationale: Increase = (10/60)*100 = (1/6)*100 = 16.66%.
B
Answer: (B) 16.66%
Question: Rahul went to a shop and bought things worth Rs. 45, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
(A) A)19.7
(B) B)19.9
(C) C)20.9
(D) D)21.9
(E) E)39.7
Rationale: Total cost of the items he purchased = Rs.45
Given that out of this Rs.45, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (45−30/100−x)6/100 = 30/100
⇒ 6(45 −0.3 −x) = 30
⇒ (45 − 0.3 − x) = 5
⇒ x = 45 − 0.3 − 5 = 39.7
E)
Answer: (E) E)39.7
Question: A pipe fills a pool in 3.5 hours. If the flow of water is changed so that the pipe's rate is halved, then how long will it take for the pipe to fill 2/3 of the pool?
(A) 4 hours and 40 minutes
(B) 3 hours and 10 minutes
(C) 2 hours and 20 minutes
(D) 7 hours
(E) 2/21 hours
Rationale: A pipe takes 3.5 hrs to fill the tank. So when rate is reduced to half it will take 7 hrs to fill the tank.
so time time taken to fill 2/3rd tank capacity is given by
7*2/3=4 hrs 40min
ANSWER:A
Answer: (A) 4 hours and 40 minutes
Question: A train 200 m long can cross an electric pole in 20 sec and then find the speed of the train?
(A) 987
(B) 271
(C) 72
(D) 27
(E) 36
Rationale: Length = Speed * time
Speed = L/T
S = 200/20
S = 10 M/Sec
Speed= 10*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 36 Kmph
Answer:E
Answer: (E) 36
Question: A certain sum of money amounts to Rs 1008 in 2 years and to Rs 1164 in 3 years. Find the sum and the rate of interest.
(A) 14%
(B) 13%
(C) 12%
(D) 19%
(E) None of these
Rationale: Explanation:
S.I. for 1 ½ years = Rs (1164 - 1008) = Rs 156 .
S.I. for 2 years = Rs (156 x x 2)= Rs 208.
Principal = Rs (1008 - 208) = Rs 800.
Now, P = 800, T= 2 and S.I. = 208.
Rate = (100 x S.I.) / (P x T) = [ (100 x 208)/(800 x 2)]% = 13%
Answer: B
Answer: (B) 13%
Question: If abc = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1/2
(A) II&III
(B) III
(C) II
(D) I
(E) none
Rationale: E
Answer: (E) none
Question: A Train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long. Find the speed of the train.
(A) 110 kmph
(B) 120 kmph
(C) 108 kmph
(D) 100 kmph
(E) 98 kmph
Rationale: In 10s the train crosses the pole and in 30 sec the train crosses one more stationary train
In 20 sec the train travels a distance of 600 mtrs
Speed = 600/20 = 30 m/s = 30 (3600/1000) = 30 * 18/5 = 108 kmph
Answer: C
Answer: (C) 108 kmph
Question: The radius of a wheel is 14.6 cm. What is the distance covered by the wheel in making 100 resolutions?
(A) 754 m
(B) 704 m
(C) 90.524 m
(D) 706 m
(E) 91.688 m
Rationale: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 100 resolutions.
= 100* 2 * 22/7 * 14.6 = 9168.8 cm
= 91.688 m
Answer:E
Answer: (E) 91.688 m
Question: By investing in 1623% stock at 64, one earns Rs. 1600. The investment made is
(A) s. 9600
(B) s. 7500
(C) s. 5640
(D) s. 6144
(E) s. 6760
Rationale: Explanation :
Market Value = Rs.64
Face Value is not given and hence take it as Rs.100
16 2/3% of the face value = 50/3
ie, to earn 50/3, investment = Rs.64
Hence, to earn Rs.1600, investment needed = 64×3×1600/50=6144
Answer : Option D
Answer: (D) s. 6144
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
(A) 520
(B) 620
(C) 820
(D) 740
(E) 720
Rationale: Distance = (240 x 5) = 1200 km.
Speed = Distance/Time
Speed = 1200/(5/3) km/hr. [We can write 1 2/3 hours as 5/3 hours]
Required speed = (1200 x	3/5) km/hr = 720 km/hr
Answer E) 720 Km/hr
Answer: (E) 720
Question: Praveen starts business with Rs.3500 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
(A) Rs.7500
(B) Rs.8000
(C) Rs.8500
(D) Rs.9000
(E) Rs.6000
Rationale: Let Hari’s capital be Rs. x. Then, 3500 * 12/7x = 2/3
=> 14x = 126000
=> x = 9000.
ANSWER:D
Answer: (D) Rs.9000
Question: Which of the following values is the greatest
(A) a) 11% of 89
(B) b) 22% of 78
(C) c) 33% of 67
(D) d) 55% of 56
(E) e) 55% of 45
Rationale: Are you sure that you checked the answer key correctly? I just signed up forVeritas(haven't started yet, not until March) but I have access to the materials and the answer key I'm looking at says D
Answer: (D) d) 55% of 56
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8400. If his salary for the month of May is Rs.6500, find his salary for the month of January?
(A) 2177
(B) 2876
(C) 4900
(D) 2981
(E) 2711
Rationale: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000 = 32000 ----(1)
Sum of the salaries of the person for the months of February, March, April and May = 4 * 8400 = 33600 ----(2)
(2)-(1) i.e. May - Jan = 1600
Salary of May is Rs.6500
Salary of January = Rs.4900.Answer: C
Answer: (C) 4900
Question: A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 108) square inches. What is the perimeter of the photograph, in inches?
(A) 34
(B) 36
(C) 16
(D) 40
(E) 42
Rationale: Let Length and Breadth of photograph be L and B respectively.
Perimeter is given by 2*(L+b) -----(1)
According to the question:
(L+2)(B+2) = m ----(2)
and
(L+8)(B+8) = m + 108 ---------> (L+8)(B+8) - 108 = m ------(3)
Equating (2) and (3)
(L+2)(B+2) = (L+8)(B+8) - 108
LB + 2L + 2B + 4 = LB + 8L + 8B +64 -108
Simplify
6L + 6B = 48 ------> 2(L+B) = 16 (Check eq (1))
Answer is C
Answer: (C) 16
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.40 per kg. What will be his gain percent?
(A) 8 1/7 %
(B) 2 1/3 %
(C) 6 2/3 %
(D) 8 1/8 %
(E) 8 1/9 %
Rationale: C.P. of 1 kg = 420/70 = Rs. 6
S.P. of 1 kg = Rs. 6.40
Gain % = 0.40/6 * 100 = 20/3
= 6 2/3 %
Answer:C
Answer: (C) 6 2/3 %
Question: At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
(A) 60%
(B) 80%
(C) 100%
(D) 120%
(E) 140%
Rationale: Explanation:
A B C D
90 100 80 100
A D
90 ----- 100
360 ------ ? = 400
500 ------ 400
100 ------- ? => 80%
B)
Answer: (B) 80%
Question: Which is better investment: 11% stock at 143 or 9 3/4% stock at 117?
(A) 11% stock at 143
(B) 9 3/4% stock at 117
(C) Both are equally good
(D) Cannot be compared, as the total amount of investment is not given
(E) None
Rationale: Let investment in each case be Rs. (143 x 117).
Income in 1st case = Rs.11 x 143 x 117/143	= Rs. 1287.
Income in 2nd case = Rs.39 x 143 x 117/(4*117)	= Rs. 1394.25
Clearly, 9 3/4% stock at 117 is better.
ANSWER:B
Answer: (B) 9 3/4% stock at 117
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
(A) 3 4/9 days
(B) 8 4/9 days
(C) 9 3/8 days
(D) 6 3/8 days
(E) none of these
Rationale: 1/15 + 1/25 = 8/75
75/8 = 9 3/8 days
ANSWER:C
Answer: (C) 9 3/8 days
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
(A) 6029
(B) 6299
(C) 6000
(D) 6018
(E) 60012
Rationale: x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 18000 = 6000
Answer:C
Answer: (C) 6000
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. 7 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) s.4538
(B) s.6342
(C) s.4518
(D) s.4530
(E) s.4517
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 * 7 = Rs.6342
Answer: B
Answer: (B) s.6342