mathewhe/aqua_rat huggingface dataset:
Question: (469 + 174)(power 2) - (469 - 174)(power 2) / (469 x 174) = ?
(A) 2
(B) 6
(C) 4
(D) 8
(E) 10
Rationale: Formula = (a + b)(power 2) - (a - b)(power 2) / ab
= 4ab/ab
= 4 (where a = 469, b = 174.)
Answer is D.
Answer: (D) 8
Question: Yukou enjoys reading science-fiction. It is the New Year and he has made a resolution to read a book every week for this year. He has a collection of monster books and space travel books in the ratio of 4:5. He presently has 20 space travel books. How many more books (of each genre) does he need to buy to keep his resolution, without changing the ratio?
(A) 6 monster, 10 space
(B) 8 monster, 10 space
(C) 8 monster, 9 space
(D) 4 monster, 10 space
(E) 7 monster, 12 space
Rationale: There are 52 weeks in a year. Youku has 20 space travel books, so 4:5 is 4/5:1 means (4/5)(20) = 16 monster books. So, he has 20 + 16 = 36 books. Youku needs 52 - 36 = 16 more books.
Keeping with the ratio of 4:5 and allowing for the fact that we can not have a fraction of a book, the minimum ratio that satisfies these restrictions is 8:10 giving 18 books, of which 8 are monster books and 10 space travel books.
Answer: B
Answer: (B) 8 monster, 10 space
Question: Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
(A) 79
(B) 28
(C) 38
(D) 27
(E) 21
Rationale: Assuming Sripad has scored the least marks in subject other than science,
Then the marks he could secure in other two are 58 each.
Since the average mark of all the 3 subject is 65.
i.e (58+58+x)/3 = 65
116 + x = 195
x = 79 marks.
Therefore, the maximum marks he can score in maths is 79.
Answer: A
Answer: (A) 79
Question: How many odd 4-digit positive integers T that are multiples of 5 can be formed without using the digit 3?
(A) 648
(B) 729
(C) 900
(D) 1296
(E) 3240
Rationale: I choose A.
Possible n° of 1st digit: 8 (0 can't be the first number, or else it wouldn't have 4 digits. 3 is exlcuded)
Possible n° of 2nd digit: 9 (3 is excluded)
Possible n° of 3rd digit: 9 (3 is excluded)
Possible n° of 4th digit: 1 (a number is a multiple of 5 if it ends in 5 or 0, here we are asked for the odd numbers, hence the last digit can't be 0)
So, T=8*9*9*1=648 (A)
Answer: (A) 648
Question: In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different K sets can be produced by this process?
(A)  41
(B)  89
(C)  125
(D)  243
(E)  512
Rationale: Case 1: 1 used envelope => 1 way
Case 2: 2 used envelopes
- 4-1-0: Choose 4 from 5 cards: 5 ways
- 3-2-0: Choose 3 from 5 cards: 10 ways
Case 3: All envelopes used
- 3-1-1: Choose 3 from 5 andno need to choose 1 from 2: 10 ways
- 2-2-1: Choose 2 from 5 and choose 2 from 3, but two groups are the same => (10X3):2 = 15
Total K: 1+5+10+10+15=41 => Answer: A
Answer: (A)  41
Question: A cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. The bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. The radius of the heap at the base is :
(A) 63 cm
(B) 53 cm
(C) 56 cm
(D) 66 cm
(E) None of these
Rationale: Volume of the bucket = volume of the sand emptied
Volume of sand = π(21)2 × 36
Let r be the radius of the conical heap.
Then, 1⁄3πr2 × 12 = π(21)2 × 36
or r2 = (21)2 × 9 or r = 21 × 3 = 63
Answer A
Answer: (A) 63 cm
Question: Louie takes out a three-month loan of $1000. The lender charges him 10% interest per month compunded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
(A) 333
(B) 383
(C) 402
(D) 433
(E) 483
Rationale: Let the monthly payment be xx.
After the 1st month there will be 1,000∗1.1−x dollars left to repay;
After the 2nd month there will be (1,000∗1.1−x)∗1.1−x=1,210−2.1 x dollars left to repay;
After the 3rd month there should be 0 dollars left to repay: (1,210−2.1x)∗1.1−x=0--> 1331=3.31x--> x≈402x≈402
Answer: C.
Answer: (C) 402
Question: 10x + 2y = -6
8x + y = 3
In the system of equations above, what is the value of x?
(A) -6
(B) -4
(C) -2
(D) 2
(E) 4
Rationale: 10x + 2y = -6 can be written as 5x + y = -3
Let's subtract the second equation from this equation.
-3x = -6
x = 2
The answer is D.
Answer: (D) 2
Question: How many minutes are there in two right angles?
(A) 21
(B) 22
(C) 17
(D) 2888
(E) 2880
Rationale: E
2880
They are the hour-minute, hour-second, and minute-second. Each hour, the minute hand will be at a right angle twice, so that's 48 right angles -- 2 for each hour of the day. Each hour, the second hand will go around 60 times and have 2 right angles for each, that's 120 right angles per hour or 120 * 24 = 2880
Answer: (E) 2880
Question: A cycle is bought for Rs.900 and sold for Rs.1150, find the gain percent?
(A) 15
(B) 20
(C) 27.77
(D) 40
(E) 12
Rationale: 900 ---- 250
100 ---- ? => 27.77%
Answer: C
Answer: (C) 27.77
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
(A) 1
(B) 8
(C) 9
(D) 4
(E) 3
Rationale: 96% ---- 12
144% ---- ?
96/144 * 12 = 8
Answer: B
Answer: (B) 8
Question: A rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug?
(A) A.3/16
(B) 1/4
(C) C.1/2
(D) 25/32
(E) 7/8
Rationale: Area of the rectangular rug = 2*7 = 14
Fraction not covered by the rug = (Total Area - Rug area) / Total Area
= (64 - 14)/64
= 25/32=D
Answer: (D) 25/32
Question: The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 20 terms of the sequence?
(A) 201/100
(B) 99/100
(C) 100/101
(D) 1/10000
(E) 20/21
Rationale: Easy task and accomplish
X1=1-1/2
x2=1/2-1/3
x3=1/3-1/4
.....
x20=1/20-1/21
sum=X1+X2+X3+....X20=1-1/2+1/2-1/3+.......1/20-1/21=1-1/21=20/21
E is the answer
Answer: (E) 20/21
Question: A car consumes 210 liters of petrol weekly. For how many days will 1470 liters of petrol be sufficient?
(A) 38
(B) 20
(C) 28
(D) 49
(E) 10
Rationale: Explanation:
No explanation is available for this question!
ANSWER:D
Answer: (D) 49
Question: A larger cube has 343 cubic inch as a volume and in the cube there are 343 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 343 smaller cubes and the surface area of the larger cube, in square inch?
(A) 54
(B) 64
(C) 81
(D) 108
(E) 1764
Rationale: Volume of larger cube = 343 = 7^3
Side of larger cube = 7
Volume of smaller cube = 1 --> Side of smaller cube = 1
Surface area of larger cube = 6 * 7^2 = 294
Surface area of 27 smaller cubes = 343 * 6 * 1 = 2058
Difference = 2058 - 294 = 1764
Answer: E
Answer: (E) 1764
Question: How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 3-percent solution?
(A) 35
(B) 33 1/3
(C) 27
(D) 16 2/3
(E) 19.5
Rationale: How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 3-percent solution?
3% of a 50 liter solution is 1.5L. So you are trying to determine how many liters must a solution be for the 1.5L to represent 3% of the solution. Set up an inequality and solve for x:
1.5/x = 1/3
x = 4.5
Since you need a 15L solution, you must evaporate 19.5 of the original 50L solution to get a 3% solution.
Answer is E.
Answer: (E) 19.5
Question: If s and t are positive integers such that s/t = 84.15, which of the following could be the remainder when s is divided by t ?
(A) 2
(B) 4
(C) 8
(D) 20
(E) 9
Rationale: s/t= 84.15
s = 84.15t
s = (84 + 0.15)t
s = 84t + (15/100)t
s = 84t + (3/20)t
So remainder will be multiple of 3. The only multiple of 3 is 9.
Ans. E
Answer: (E) 9
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
(A) 287
(B) 240
(C) 772
(D) 211
(E) 288
Rationale: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/36 = 15 => x = 240 m.
Answer: B
Answer: (B) 240
Question: Currently mangoes cost 60 cents/pound. Due to a disease affecting the mango trees it is expected that next month mangoes will cost 200% more than they do currently. How much are mangoes expected to cost next month?
(A) 160 cents /pound
(B) 170 cents /pound
(C) 150 cents /pound
(D) 190 cents /pound
(E) 180 cents /pound
Rationale: If a new cost is p percent greater than the old cost, then (new cost) = (old cost) + (p/100)(old cost).
In this case, (new cost) = 60 cents/pound + (200/100)(60 cents/pound)
= 60 cents/pound + 120 cents/pound
= 180 cents /pound
Answer : E
Answer: (E) 180 cents /pound
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
(A) 7500
(B) 7502
(C) 2883
(D) 2790
(E) 2711
Rationale: A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3
B's share = 25000 * 3/10 = Rs. 7500.Answer: A
Answer: (A) 7500
Question: One night 18 percent of the female officers on a police force were on duty. If 180 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
(A) 90
(B) 180
(C) 270
(D) 500
(E) 1,000
Rationale: Let total number of female officers in the police force = F
Total number of officers on duty on that night = 180
Number of female officers on duty on that night = 180/2 = 90
(18/100)*F = 90
=>F = 500
Answer D
Answer: (D) 500
Question: By investing a 6% stock at 96 an income of Rs. 100 is obtained by making and investment of ?
(A) Rs. 1600
(B) Rs. 1504
(C) Rs. 1666
(D) Rs. 2000
(E) Rs. 5760
Rationale: For an income of Rs. 6, investment = Rs. 96.
For an income of Rs. 100, investment = Rs. (96 / 6) x 100 = Rs. 1600
Answer : A
Answer: (A) Rs. 1600
Question: I bought two books; for Rs.540. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
(A) 197
(B) 280
(C) 189
(D) 278
(E) 315
Rationale: x*(85/100)
= (540 - x)119/100
x = 315
Answer: E
Answer: (E) 315
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
(A) 176 m
(B) 786 m
(C) 500 m
(D) 865 m
(E) 796 m
Rationale: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (800 + x)/60 = 65/3
x = 500 m.
Answer:C
Answer: (C) 500 m
Question: If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a + b + c > a^3
II. a × b × c < a^3
III. 5b > bc
(A) I only
(B) II only
(C) III only
(D) II and III
(E) I, II, and III
Rationale: Only 'A' is possible solution. If a is even prime number i.e 2, b is 3 and c is 4
Putting the values in the answers only 'A' seems valid.
Answer: (A) I only
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 10 years. Find the average age of the women?
(A) 87
(B) 98
(C) 30
(D) 28
(E) 23
Rationale: 20 + 10 + 8 * 2
= 46/2
= 23
Answer:E
Answer: (E) 23
Question: An investor purchased 100 shares of stock X at 8 1/8 dollars per share and sold them all a year later at 24 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?
(A) 92%
(B) 240%
(C) 190%
(D) 300%
(E) 380%
Rationale: If the purchase price was 8$ per share then the investor would have made a profit of 200%.
Since the purchase price is slightly more than 8$ the profit would be slightly less than 200%.
Also a 2% brokerage is negligible and it brings down the profit percentage only by a small value. Approximation is very useful to solve these kind of problems as the answer choices are far apart.
Answer: C
Answer: (C) 190%
Question: For the positive numbers, n, n + 1, n + 2, n + 3, and n + 4, the mean is how much greater than the median?
(A) 0
(B) 1
(C) n+l
(D) n+2
(E) n+3
Rationale: Let’s first calculate the mean (arithmetic average).
mean = sum/quantity
mean = (n + n + 1 + n + 2 + n + 3 + n + 4)/5
mean = (5n + 10)/5
mean = n + 2
Next, we determine the median. The median is the middle value when the terms are ordered from least to greatest. The terms ordered from least to greatest are as follows:
n, n + 1, n + 2, n + 3, n + 4
The median is n + 2.
Finally we are asked how much greater the mean is than the median. To determine the difference we can subtract the smaller value (the median) from the larger value (the mean) and we get:
n + 2 – (n + 2) = n + 2 – n – 2 = 0
The answer is A
Answer: (A) 0
Question: A football coach must choose 5freshers from a team of 12players. How many different ways can the coach choose the freshers?
(A) 657
(B) 689
(C) 729
(D) 776
(E) 790
Rationale: Choose 5 starters from a team of 12 players. Order is not important.
\inline {\color{Black} 12C_{5}}= 729
C
Answer: (C) 729
Question: Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 206 m, then its area is?
(A) 2400 m^2
(B) 1500 m^2
(C) 2520 m^2
(D) 1200 m^2
(E) 2580 m^2
Rationale: Solving the two equations, we get: l = 30 and b = 40.
Area = (l x b) = (30 x 40) m2 = 1200 m^2
D
Answer: (D) 1200 m^2
Question: Find the product of the local value and absolute value of 4 in 564823
(A) 1600
(B) 8000
(C) 16000
(D) 12000
(E) 18000
Rationale: Explanation:
Place value = Local value
Face value = Absolute value
The place value of 4 in 564823 is 4 x 1000 = 4000
The face value of 4 in 564823 is nothing but 4.
=> 4000 x 4 = 16000
Answer: Option C
Answer: (C) 16000
Question: A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
(A) 5 days
(B) 21 days
(C) 15 days
(D) 25 days
(E) 30 days
Rationale: Explanation:
WC = 2:1
2x + x = 1/14 => x = 1/42
2x = 1/21
A can do the work in 21 days.
Answer: B
Answer: (B) 21 days
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
(A) 40
(B) 88
(C) 77
(D) 6
(E) 23
Rationale: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec.Answer: A
Answer: (A) 40
Question: Two brothers took the GMAT exam, the higher score is P and the lower one is Q. If the difference between the two scores is equal to their average, what is the value of Q/P ?
(A) 3
(B) 2
(C) 1/2
(D) 1/3
(E) There isn't enough data to answer the question.
Rationale: Answer is D : 1/3
P - Q = (P + Q)/2
Solving for Q/P = 1/3
D
Answer: (D) 1/3
Question: How many three digit number can be formed with the numbers 1,2,3,4,5.
(A) 125 ways
(B) 150 ways
(C) 175 ways
(D) 180 ways
(E) 115 ways
Rationale: Since the repetition of number allowed, the first place can be filled in 5 ways. The second place can be filled in 5ways.(repetition of numbers allowed). Third place can be arranged in 5ways. The required number of digit number =5x5x5=125 ways. Answer :A
Answer: (A) 125 ways
Question: A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number W of ways this can be done is:
(A) 122
(B) 210
(C) 216
(D) 217
(E) 225
Rationale: We should determine which 5 digits from given 6, would form the 5 digit number divisible by 3.
We have six digits: 0, 1, 2, 3, 4, 5. Their sum=15.
For a number to be divisible by 3 the sum of the digits must be divisible by 3. As the sum of the six given numbers is 15 (divisible by 3) only 5 digits good to form our 5 digit number would be 15-0={1, 2, 3, 4, 5} and 15-3={0, 1, 2, 4, 5}. Meaning that no other 5 from given six will total the number divisible by 3.
Second step:
We have two set of numbers:
1, 2, 3, 4, 5 and 0, 1, 2, 4, 5. How many 5 digit numbers can be formed using these two sets:
1, 2, 3, 4, 5 --> 5! as any combination of these digits would give us 5 digit number divisible by 3. 5!=120.
0, 1, 2, 4, 5 --> here we can not use 0 as the first digit, otherwise number won't be any more 5 digit and become 4 digit. So, desired # would be total combinations 5!, minus combinations with 0 as the first digit (combination of 4) 4! --> 5!-4!=4!(5-1)=4!*4=96
120+96=216=W
Answer: C.
Answer: (C) 216
Question: If f(x) = x^4 - 4x^3 - 2x^2 + 5x , then f(-1) =
(A) -4
(B) -2
(C) -1
(D) 1
(E) 2
Rationale: f(-1) = (-1)^4 - 4(-1)^3 - 2(-1)^2 + 5(-1) = 1+4-2-5 = -2
The answer is B.
Answer: (B) -2
Question: There are 5 Rock songs, 6 Pop songs, and 3 Jazz. How many different albums can be formed using the above repertoire if the albums should contain at least one Rock song and one Pop song?
(A) 15,624
(B) 16,384
(C) 6,144
(D) 384
(E) 240
Rationale: If there are 5 rock songs then there are 2^5 ways to make a combination. But there should be atleast 1 Rock song, so the total Rock combination will be 2^5 -1
Similar explanation for Pop
But the album can be formed without any Jazz so 2^3
((2^5)-1) * ((2^6)-1) * 2^3
Ans: 15624
Answer: (A) 15,624
Question: Find the value of y from (12)^3 x 6^3 ÷ 432 = y?
(A) 2134
(B) 2234
(C) 2540
(D) 2560
(E) 864
Rationale: 5184
E
Answer: (E) 864
Question: The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 6 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 1 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams?
Sports No of coaches
Track 8
Tennis 5
Baseball 4
(A) 8
(B) 9
(C) 11
(D) 12
(E) 17
Rationale: X = 8 + 5 + 4 - (6 + 2 + 1) = 8
Answer is A
Answer: (A) 8
Question: A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many J cubes are painted on only 2 faces?
(A) 12
(B) 8
(C) 6
(D) 10
(E) 16
Rationale: 1) Draw a simple cube
2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.
3) Remember that the OUTSIDE of the cube is the part that's painted....
The mini-cubes with 2 painted sides are ALL on the edge of the cube, in themiddleof the edge. There are 4 in front, 4 in back and 4 more on thestripthat runs around the left/top/right/bottom of the cube. J=4 + 4 + 4 = 12. Answer A
Answer: (A) 12
Question: A certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
(A) 33%
(B) 20%
(C) 25%
(D) 30%
(E) 40%
Rationale: Total time for travelling 80 miles @ 60 mph = 80/60 = 4/3 hour = 80 minutes.
Given, the car uses 1 gallon for every 20 minutes of driving @ 60 mph. Thus in 80 minutes it will use = 4 gallons. Thus, full tank = 4+8 = 12 gallons ---> 4/12= 33% of the fuel used. A is the correct answer.
Answer: (A) 33%
Question: Two pipes A and B can fill a tank in 10 minutes and 20 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 5 minutes, then how much more time will it take to fill the tank by tap B?
(A) 5min
(B) 6min
(C) 10min
(D) 7min
(E) 12min
Rationale: Part filled in 5 min. = 5(1/10 + 1/20) = 5*3/20 = 3/4
Remaining part = 1 - 3/4 = 1/4
Part filled by B in 1min. = 1/20
1/20 : 1/4 :: 1:x
x = 1/4 *1 * 20 = 5min
Answer is A
Answer: (A) 5min
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
(A) 8:7:4
(B) 1:3:5
(C) 3:4:7
(D) 4:5:9
(E) None of these
Rationale: Explanation:
A:B:CA:B:C =(40000Ã—36)=(40000Ã—36) :(80000Ã—12+40000Ã—24):(80000Ã—12+40000Ã—24) :(120000Ã—24+40000Ã—12):(120000Ã—24+40000Ã—12)
=144:192:336=144:192:336 =3:4:7=3:4:7.
ANSWER IS C
Answer: (C) 3:4:7
Question: 5358 x 51 = ?
(A) 273255
(B) 273257
(C) 273258
(D) 273260
(E) 273262
Rationale: 5358 x 51	= 5358 x (50 + 1)
= 5358 x 50 + 5358 x 1
= 267900 + 5358
= 273258.
C)
Answer: (C) 273258
Question: Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
(A) 300
(B) 278
(C) 500
(D) 277
(E) 261
Rationale: Let the C.P. be Rs. x. Then, 20% of x = 1100
20/100 * x = 1100 => x = 5500
C.P. = Rs. 5500, expenditure on repairs = 10%
Actual price = Rs. (100 * 5500)/110 = Rs. 5000
Expenditures on repairs = (5500 - 5000) = Rs. 500.Answer: C
Answer: (C) 500
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.8600. If his salary for the month of May is Rs.6500, find his salary for the month of January?
(A) s.4100
(B) s.4270
(C) s.4500
(D) s.4550
(E) s.2500
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 * 8600
= 34400 ----(2)
(2)-(1) i.e. May - Jan = 2400
Salary of May is Rs.6500
Salary of January = Rs.4100
Answer:A
Answer: (A) s.4100
Question: How many integers between 100 and 600 are there such that their unit digit is odd?
(A) 100
(B) 250
(C) 200
(D) 50
(E) 150
Rationale: 500 numbers between - 100 and 600
Out of which half would be even, half odd.
Number of odd unit digit number =250.
correct option is B
Answer: (B) 250
Question: Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/10 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $22 more than Eliot in his account. How much money does Eliot have in his account right now?
(A) $110
(B) $152.3
(C) $180
(D) $220
(E) $260
Rationale: Lets assume Al have amount A in his bank account and Eliot's bank account got E amount. We can form an equation from the first condition.
A-E = 1/10*(A+E) ==> 9A = 11E ------------ (1)
Second condition gives two different amounts, Al's amount = 1.1A and Eliot's amount = 1.2E
1.1A = 22 + 1.2E ==> 11A =220 +12E -------(2)
Substituting (1) in (2):
11E/9*11 = 220+12E or (121/9-12) E = 220 or 13/9 E =220 E = 220*9/13 =152.3
B
Answer: (B) $152.3
Question: A shopkeeper sells 300 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
(A) 12
(B) 27
(C) 29
(D) 50
(E) 65
Rationale: SP per metre = 18000/300 = Rs. 60 Loss per metre = Rs. 5 CP per metre = 60 + 5 = Rs. 65.Answer: E
Answer: (E) 65
Question: Find the sum of prime numbers lying between 60 and 75?
(A) 198
(B) 201
(C) 252
(D) 272
(E) None
Rationale: Solution
Required sum	= 61 + 67 + 71 + 73)
= 272.
Answer D
Answer: (D) 272
Question: The list price of an article is Rs.65. A customer pays Rs.57.33 for it. He was given two successive discounts, one of them being 10%. The other discount is?
(A) 8%
(B) 7%
(C) 10%
(D) 12%
(E) 2%
Rationale: Option E
Explanation:
65*(90/100)*((100-x)/100) = 57.33
x = 2%
Answer: (E) 2%