mathewhe/aqua_rat huggingface dataset:
Question: Last week David spent 40 percent of his wages on recreation. This week, his wages are 5 percent less than last weekʼs wages and he spent 50 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week
(A) 118.75%
(B) 128.75%
(C) 116.75%
(D) 117.75%
(E) 114.75%
Rationale: Say David's wages last week were $100, so he spent 0.40*100=$40 on recreation;
This week's wages is 0.95*100=$95, so he spends 0.5*95=$47.5 on recreation;
47.5/40=1.1875, hence the amount he spends on recreation this week is 118.75% of the amount he spent on recreation last week: 40*1.1875=47.5
Answer: A
Answer: (A) 118.75%
Question: The arithmetic mean of the scores of a group of students in a test was 72. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?
(A) A)81.40
(B) B)81.70
(C) C)87.72
(D) D)81.10
(E) E)81.29
Rationale: Let the required means score be x. Then,
20 * 80 + 25 * 31 + 55 * x = 72 * 100
= 1600 + 775 + 55x = 7200
= 55x = 4825
= x = 565/11 =87.72
Answer:C
Answer: (C) C)87.72
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 5, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following?
(A) 1/2
(B) 1/4
(C) 1/8
(D) 1/16
(E) 1/32
Rationale: There are 4*4 = 16 possibilities.
Bob has 2 chances so the probability is 2/16 = 1/8.
The answer is C.
Answer: (C) 1/8
Question: In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 150 more than the correct answer. Find the number.
(A) 125
(B) 288
(C) 384
(D) 400
(E) 500
Rationale: Explanation:
Let the number be x.
5*x/6 = 5*x/16 + 150
25*x/48 = 150
x = 288
ANSWER B
Answer: (B) 288
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
(A) Rs. 1991
(B) Rs. 2991
(C) Rs. 3991
(D) Rs. 4991
(E) Rs. 5991
Rationale: Explanation:
Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
Required sale = Rs. [ (6500 x 6) – 34009 ]
= Rs. (39000 – 34009)
= Rs. 4991.
Answer D
Answer: (D) Rs. 4991
Question: If C.P. of 28 books is equal to S.P of 30 books , then your gain or loss is ?
(A) 23 1/3 gain %
(B) 30 10/23 loss %
(C) 6.67 loss %
(D) 30 1/3 loss %
(E) 40 1/3 loss %
Rationale: Say the cost price of 28 books is $28 so $1 for a book.
The cost of 30 books would be $30, and the selling price of 30 books would be 28$, hence the loss = ($30 - $28)/$30 = ~6.67%.
Answer: C.
Answer: (C) 6.67 loss %
Question: Equal weights of two alloys containing tin, copper and lead in the ratio 1:2:3 and 4:5:3 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?
(A) 41:81:37
(B) 3:9:8
(C) 1:2:2
(D) 6:4: 9
(E) 4:8:9
Rationale: Let the weight of the two alloys be w each
Required ratio =
(1w/6 +4w/12): ( 2w/6 +5w/12 ): (3w/6+3w/12)
= 6w/12 : 4w/12 : 9w/12
= 6:4: 9
ANSWER:D
Answer: (D) 6:4: 9
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
(A) 230
(B) 99
(C) 88
(D) 65
(E) 44
Rationale: Relative speed = 120 + 80 = 200 km/hr.
= 200 * 5/18 = 500/9 m/sec.
Let the length of the other train be x m.
Then, (x + 270)/9 = 500/9 => x = 230.
Answer: A
Answer: (A) 230
Question: A letter lock consists of three rings each marked with five different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
(A) 277
(B) 269
(C) 124
(D) 145
(E) 123
Rationale: Since each ring consists of five different letters, the total number of attempts possible with the three rings is
= 5*5*5 = 125. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts = 125 - 1
= 124.
Answer:C
Answer: (C) 124
Question: A man can row 2 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. What is the total distance traveled by the man?
(A) 1.8
(B) 1.9
(C) 1.2
(D) 1.7
(E) 1.3
Rationale: M = 2
S = 1.2
DS = 2.4
US = 0.8
x/1.2 + x/0.8 = 1
x = 0.6
D = 0.6 * 2 = 1.2
Answer:C
Answer: (C) 1.2
Question: What is the area of square field whose side of length 10 m?
(A) 100
(B) 662
(C) 772
(D) 882
(E) 21
Rationale: 10 * 10
= 100 sq m
Answer:A
Answer: (A) 100
Question: If k is the greatest positive integer such that 3^k is a divisor of 15! then k =
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: For solving this type of tasks we can use such approach
15 / 3 = 5
15 / 3^2 = 1 and remainder
and 3^3 is more than 15 so we stop on second exponent
5 + 1 = 6
so maximum value of k = 6
And answer is D
Answer: (D) 6
Question: P is able to do a piece of work in 20 days and Q can do the same work in 10 days. If they can work together for 2 days, what is the fraction of work left?
(A) 5/10
(B) 9/10
(C) 7/10
(D) 6/10
(E) 4/10
Rationale: Explanation :
Amount of work P can do in 1 day = 1/20
Amount of work Q can do in 1 day = 1/10
Amount of work P and Q can do in 1 day = 1/20+ 1/10 = 3/20
Amount of work P and Q can together do in 2 days = 2 × (3/20) =3/10
Fraction of work left = 1 – 3/10= 7/10
Answer : Option C
Answer: (C) 7/10
Question: A retailer sells 6 shirts. The first 2 he sells for $40 and $50. If the retailer wishes to sell the 6 shirts for an overall average price of over $50, what must be the minimum average price of the remaining 4 shirts?
(A) $37.00
(B) $40.00
(C) $45.50
(D) $48.00
(E) $52.50
Rationale: First 2 shirts are sold for $40 and $50=$90.
To get average price of $50,total sale should be 6*$50=$300
So remaining 4 shirts to be sold for $300-$90=$210
Answer should be 210/4=$52.50 that is E
Answer: (E) $52.50
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 seconds. What is the length of the fast train ?
(A) 33 1/3
(B) 28 7/9
(C) 29 7/9
(D) 30 7/9
(E) None of these
Rationale: Explanation:
As Trains are moving in same direction,
So, Relative Speed = 40-20 = 20 kmph
= 20*(5/18) = 50/9 m/sec
Length of Train= Speed * Time
Length=50/9âˆ—6
=300/9
=33 1/3
Option A
Answer: (A) 33 1/3
Question: If the simple interest on $2000 increase by $40,when the time increase by 4 years. Find the rate percent per annum.
(A) 1.2%
(B) 0.5%
(C) 0.7%
(D) 0.9%
(E) 0.3%
Rationale: Applying the above formula, we have
40=2000*r*4/100
r=40*100/2000*4=0.5%.
Answer is B
Answer: (B) 0.5%
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in?
(A) 76 hours
(B) 12 hours
(C) 15 hours
(D) 17 hours
(E) 16 hours
Rationale: The part of the tank filled by three pipes in one hour
= 1/8
=> The part of the tank filled by two pipes in 1 hour
= 2/3 * 1/8 = 1/12.
The tank can be filled in 12 hours.
Answer:B
Answer: (B) 12 hours
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
(A) 29
(B) 15
(C) 27
(D) 21
(E) 12
Rationale: CP of 20 dozen of bananas = 15 * 20 = Rs. 300
Number of bananas which are rotten = 1/4 * 20 = 5 dozen.
SP of two-third of remaining bananas = (2/3 * 15) * 22.5 = Rs. 225
SP of remaining 5 dozens of bananas to make no profit and no loss =(300 - 225) = Rs. 75.
SP of 1 dozen bananas = 75/5
= Rs.15.
Answer:B
Answer: (B) 15
Question: Score Interval Number of Scores
50-59 2
60-69 10
70-79 16
80-89 20
90-99 18
The table shows a distribution of test scores. Which score interval contains the median of the 66 scores?
(A) a) 60-69
(B) b) 70-79
(C) c) 80-89
(D) d) 90-99
(E) e) Cannot determine.
Rationale: 33th person
80-89 C
Answer: (C) c) 80-89
Question: A certain investment grows at an annual interest rate of 8%, compounded quarterly. Which of the following equations can be solved to find the number of years, x, that it would take for the investment to increase by a factor of 16?
(A) 16 = 1.02^(x/4)
(B) 2 = 1.02^x
(C) 16 = 1.08^(4x)
(D) 2 = 1.02^(x/4)
(E) 1/16 = 1.02^(4x)
Rationale: Now we can take the fourth root of both sides of the equation. (i.e.the equivalent of taking the square root twice) We will only consider the positive root because a negative 2 doesn't make sense here.
161/4 = [(1.02)^(4x)]^(1/4)
2 = (1.02)^x
The correct answer is B."
Answer: (B) 2 = 1.02^x
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 16,100, Deepak's share is:?
(A) s.8467
(B) s.8428
(C) s.8400
(D) s.9800
(E) s.8420
Rationale: Ratio of their shares
= 22500 : 35000
= 9:14
Deepak's share
= 16100 * 14/23
= Rs.9800.
Answer:D
Answer: (D) s.9800
Question: 12008 - 50 ÷ 10.00 = ?
(A) 1195
(B) 120
(C) 12000
(D) 12003
(E) None
Rationale: Answer
Given expression = 12008 - 50 ÷ 10.00
= 12008- 5
= 12003
Correct Option: D
Answer: (D) 12003
Question: How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?
(A) 56
(B) 57
(C) 55
(D) 59
(E) 58
Rationale: _ _ _ _ _ _ _ _ _ (9 digit number)
Digits that can be used = 1, 2, 3, 4 and 5
For a number to divisible by 4, the last two digits have to be divisible by 4
So, the units digit cannot be 1, 3 or 5
If the units digit is 2, only 12, 32 adn 52 are acceptable as the last two digits
If the units digit is 4, only 24 and 44 are acceptable as the last two digits.
So, total 5 cases for the last two digits.
Now, the first 7 digits of the 9 digit number can be filled in 57 ways as each place can be filled by 1, 2, 3, 4 or 5.
So, desired answer = 57*5 = 58
ANSWER:E
Answer: (E) 58
Question: On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 30 percent of the sales representatives prefer to stay at Hotel XYZ and 70 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?
(A) 28
(B) 32
(C) 36
(D) 40
(E) 44
Rationale: 18 people stay in XYZ and 42 people stay in ABC.
18 people prefer XYZ and 42 people prefer ABC.
Let's put all 18 people who prefer XYZ in hotel ABC.
Then 18 people who prefer ABC will stay in XYZ.
The highest possible number who are not given their preference is 18+18=36.
The answer is C.
Answer: (C) 36
Question: A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividing the same number19?
(A) 3
(B) 6
(C) 9
(D) 11
(E) 15
Rationale: 221 + 43 = 264/17 = 9 (Remainder)
C
Answer: (C) 9
Question: On children's day 405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?
(A) 15
(B) 18
(C) 9
(D) 45
(E) 78
Rationale: Explanation :
Solution: Let the total number of children be x. then, x*(20% of x) = 405
1/5 * x^2 =405 <==> x^2 = 2025 <==> x =45.
.'. Number of sweets received by each child = 20% of 45 = 9
Answer : C
Answer: (C) 9
Question: The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 3 years ?
(A) 3277
(B) 2977
(C) 16875
(D) 6077
(E) 17112
Rationale: Explanation: 40,000(34)3=1687540,000(34)3=16875
Answer:C
Answer: (C) 16875
Question: If a·b·c·d=510, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a?
(A) 9
(B) 10
(C) 11
(D) 13
(E) 15
Rationale: prime factorize : 510 = 2*3*5*17
Hence a = 2 and d = 17 .
Hence answer is 17 - 2 = 15
Answer E
Answer: (E) 15
Question: A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 10 Gallons of water and 20 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x?
(A) 37.5
(B) 75
(C) 100
(D) 150
(E) 175
Rationale: Original mixture has 20% salt and 80% water.
Total = x
Out of which Salt = 0.2x and water = 0.8x
Now, 1/4 water evaporates and all salt remains.
So what remains is 0.2x salt and 0.6x water.
Now 20 gallons salt is added and 10 gallons of water is added.
So salt now becomes -> (0.2x + 20) and water --> (0.6x+10)
Amount of salt is 33.33% of total. So amount of water is 66.66%. So salt is half of the volume of water.
So (0.2x+20) = (0.6x+10)/2,
Solving, x = 150.
ANSWER:D
Answer: (D) 150
Question: In Town X, 60 percent of the population are employed, and 15 percent of the population are employed males. What percent of the employed people in Town X are females?
(A) 16%
(B) 75%
(C) 32%
(D) 40%
(E) 52%
Rationale: Total employed people 60%, out of which 15 are employed males, hence 45% are employed females.
(employed females)/(total employed people)=45/60=3/4=75%
Answer: B.
Answer: (B) 75%
Question: You have recently learned to knit, and all you know how to make is rectangles. You are going to knit a rectangle and have enough yarn for 1,000 stitches. The rectangle will have C stitches in a row and D stitches in a column. If the number of stitches in a row is no less than 8 and no more than 125, how many different combinations of rectangular shapes are possible?
(A) 4
(B) 5
(C) 6
(D) 8
(E) 10
Rationale: firstly factors of 1,000 = 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1,000
the question says each row will have stitches no less than 4 and no more than 35,
therefore, we should be interested in the factors between 8 and 125 (inclusive)
8(in each row) * 125(number of columns) =1,000, similarly
10 * 100
20 * 50
25 * 40
40 * 25
50 * 20
100 * 10
125 * 8
total possibilities = 8
option D
Answer: (D) 8
Question: How many positive integers w less than 30 have no common prime factor with 30?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Rationale: w=30=2*3*5. So, the number must be less than 30 and not have primes 2, 3, or 5.
This means that the number could be: 1, 7, 11, 13, 17, 19, 23, or 29. Total of 8 numbers.
Answer: D.
Answer: (D) 8
Question: A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 40 grams of protein daily, how many grams of food X are in the mixture.
(A) 100
(B) 140
(C) 150
(D) 160
(E) 200
Rationale: Let x be the amount of food X.
0.1x + 0.15(300-x) = 40
0.05x = 5
x = 100
The answer is A.
Answer: (A) 100
Question: A football team lost 5 yards and then gained 8. What is the team's progress?
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
Rationale: For lost, use negative. For gain, use positive.
Progress = -5 + 8 = 3 yards
B
Answer: (B) 3
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 32 per kg. His profit percent is:
(A) No profit, no loss
(B) 5%
(C) 8%
(D) 12%
(E) None of these
Rationale: Explanation :
C.P. of 56 kg rice = (26 * 20 + 30 * 36) Rs. = (520 + 1080) Rs. = 1600 Rs.
S.P. of 56 kg rice = (56 * 32) Rs. = 1792 Rs.
Profit % = (1792−1600/1600∗100)% = 12%
Answer : D
Answer: (D) 12%
Question: a man can row 18 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream
(A) 13 km/hr.
(B) 6 km/hr.
(C) 9 km/hr.
(D) 15 km/hr.
(E) 11 km/hr.
Rationale: Let man’s rate upstream be x kmph.then ,his rate downstream=3xkmph.
So,2x=18 or x=9.
Rate upstream=9 km/hr,rate downstream=27 km/hr.
Hence,rate of stream=1/2(27-9)km/hr=9 km/hr.
Answer is C.
Answer: (C) 9 km/hr.
Question: The calendar of the year 2040 can be used again in the year?
(A) 2063
(B) 2061
(C) 2111
(D) 2191
(E) 2068
Rationale: Explanation:
Given year 2040 when divided by 4, leaves a remainder 0.
NOTE: When remainder is 0, 28 is added to the given year to get the result.
So, 2040 + 28 = 2068
Answer: E
Answer: (E) 2068
Question: There are five leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?
(A) 7 leopard and 3 sheep
(B) 4 leopard and 7 sheep
(C) 6 leopard and 4 sheep
(D) 4 leopard and 1 sheep
(E) 2 leopard and 5 sheep
Rationale: D
4 leopard and 1 sheep
since all animal are rational , once 1st leopard eats the sheep all the rest of leopard would know about this.
Answer: (D) 4 leopard and 1 sheep
Question: If Y = X+Z, 10 < Z < 0 and -1 < X < 0, which of the following is correct?
(A) Y = 9
(B) 0 < y < 9.
(C) -9 < y < 0
(D) y < -9.
(E) y < -30
Rationale: X is -ve & Z is +ve
For min. value max. numerator and minimize denominator
take X=-0.9 & Z=9.9
Y=(-0.9)+9.9
Y = 9
Ans A
Answer: (A) Y = 9
Question: Four friends A, B,C and D decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share 3 time, no apples were left.How many apples were there?
(A) 4096
(B) 4055
(C) 4092
(D) 4085
(E) 4095
Rationale: Whenever the rate of reduction is 'half of the total and half of it', the answer is always (2^n)-1, where 'n' is the number of times the process is repeated. Here, the process is repeated 12 times. So answer is (2^12)-1=4095
Answer E
Answer: (E) 4095
Question: Which of the following can be a perimeter t of a triangle inscribed in a circle of radius 1?
I. 0.001
II. 0.010
III. 0.100
(A) I only
(B) III only
(C) II and III only
(D) I, II, and III
(E) Not I, II, or III
Rationale: Yes,the length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
But how do you use the above property to solve the question?
The lower limit of the perimeter of an inscribed triangle in a circle of ANY radius is 0: t>0.
Answer is D.
Answer: (D) I, II, and III
Question: 6, 11, 21, 36, 56, 81, 111, 146, ?
(A) 51
(B) 71
(C) 186
(D) 61
(E) 91
Rationale: The pattern is + 5, + 10, + 15, + 20, + 25, + 30, + 35, + 40, + 45, + 50,....
Answer : C.
Answer: (C) 186
Question: The volume of a cube is 729 cc. Find its surface.
(A) 486
(B) 556
(C) 255
(D) 287
(E) 267
Rationale: a3 = 729 => a = 9
6a2 = 6 * 9 * 9 = 486
Answer:A
Answer: (A) 486
Question: The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
(A) Rs. 3500
(B) Rs. 3750
(C) Rs. 3840
(D) Rs. 3900
(E) Rs. 4900
Rationale: Let the cost of chairs be 'x' and tables be 'y'.
10x=4y i.e., x=(2/5)y
and given that 15x+2y=4000
15((2/5)y)+2y=4000
8y=4000 i.e., y=500 and x=200
The total price of 12 chairs and 3 tables is: 12*(200)+3*500=2400+1500=3900
ANSWER:D
Answer: (D) Rs. 3900
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
(A) 50
(B) 99
(C) 88
(D) 77
(E) 44
Rationale: A+B+C = 500
A+C = 200
B+C = 350
--------------
A+B+2C = 550
A+B+C = 500
----------------
C = 50
Answer: A
Answer: (A) 50
Question: What is the possible ways to make 3 digit numbers from 1 to 5 number(repetition is allowed)?
(A) 220
(B) 130
(C) 127
(D) 125
(E) 225
Rationale: Repetition is allowed to make 3 digit number.So it is easy to calculate.
5*5*5=125 ways.
Answer:option D
Answer: (D) 125
Question: What is the ratio of y to x if (x + 3y) / ( x - y) = 5/3?
(A) -15/4
(B) -5/3
(C) -1/15
(D) 1/7
(E) 15/1
Rationale: Solving for y/x gives, 1/7 (D)
Answer: (D) 1/7
Question: A 40-liter solution of alcohol and water is 5 percent alcohol. If 6.5 liters of alcohol and 3.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
(A) 13%
(B) 14%
(C) 15%
(D) 16%
(E) 17%
Rationale: The percent of alcohol in the solution is (0.05(40) + 6.5) / 50 = 8.5/50 = 17%
The answer is E.
Answer: (E) 17%
Question: If the function m& is defined as m&=1/(m+1) for all m≠-1, then (1&)&=
(A) 3
(B) 5/2
(C) 2/3
(D) 1/2
(E) 1/3
Rationale: 1&= 1/(1+1)= 1/2
(1&)&= 1/{(1/2)+1}= 1/(3/2)==> 2/3
Hence C
Answer: (C) 2/3
Question: An investor invests in a new fund. The fund averages 20% growth annually for the first three years, but it loses 40% of its value in the fourth year. At the end of four years, the value of the fund is approximately what percent of the original amount?
(A) 91.23%
(B) 95.56%
(C) 97.86%
(D) 101.45%
(E) 103.68%
Rationale: 0.6*1.2^3 = 1.0368
The answer is E.
Answer: (E) 103.68%
Question: A is thrice as good a workman as B and therefore is able to finish a job in 30 days less than B. working together, they can do it in
(A) days
(B) ½ days
(C) 1/4 days
(D) days
(E) days
Rationale: Explanation:
B = 3A
3A – A =30 days
A = 15days
Then, B = 90 days
(A + B) = 15 × 90/ 120 =11 1/4 days .
Answer: Option C
Answer: (C) 1/4 days
Question: The average salary/head of allthe workers in a workshop is Rs.1200, if the average salary/head of 10 technician is Rs.1400 and the average salary/head of the rest is Rs.900, the total no. of workers in the work-shop is ?
(A) 18
(B) 17
(C) 15
(D) 19
(E) 21
Rationale: Let the total number of workers be y.So sum of salary for all workers = sum of salary of 10 technician + sum of salary for other y -10 workers.10 x 1400 + 900(y -10) = 1200 y⇒ 14000 + 900y - 9000 = 1200y⇒ 300y = 5000∴ y = 17 So total number of workers = 17 B
Answer: (B) 17
Question: Find a two digit number, given that the sum of the digits is 11 and the difference of the digits is 5.?
(A) 78
(B) 53
(C) 89
(D) 83
(E) 99
Rationale: Using elimination method find which of the options fit the description of the number
... from the option only 83 meets this description
sum of digits---8+3 = 11
difference of digits ---8-3 = 5
Answer D.
Answer: (D) 83
Question: The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1800, then what is the income of P1?
(A) s.800
(B) s.2400
(C) s.4000
(D) s.3200
(E) s.4500
Rationale: Let the income of P1 and P2 be Rs. 5x and Rs.4x respectively and let their
expenditures be Rs.3y and 2y respectively.
Then, 5x – 3y = 1800 …(i) and 4x – 2y = 1800 ……..(ii)
On multiplying (i) by 2, (ii) by 3 and subtracting, we get : 2x = 1800 -> x = 900
P1’s income = Rs 5*900 = Rs.4500
ANSWER:E
Answer: (E) s.4500
Question: A certain hobby shop sold model cars for $5.00 each and model trains for $8.00 each. If a customer purchased both cars and trains from the store for a total of $31.00, what total number of cars and trains did the customer purchase?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: we can take numbers, as price of car 5, 8 for train and 31 total for ease.
Now we can determine quickly that total number should range between 31/8 <= N <=31/5 , so ans should be between 3 and 7.
Now solving the expression 5A+8B =31
decreasing 31 in multiple of 5 and checking divisibility of that number by 8. this way we get
3 cars, 2 trains we get $31.00 total 3*5 + 2*8= 31
Hence total number is 3 + 2 = 5
Ans C
Answer: (C) 5
Question: A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 25.00?
(A) $ 14.00
(B) $ 11.20
(C) $ 14.40
(D) $ 16.00
(E) $ 18.00
Rationale: For retail price = $25
First maximum discounted price = 25 - 30% of 25 = 25-7.5 = 17.5
Price after additional discount of 20% = 17.5 - 20% of 17.5 = 17.5 - 3.5 = 14
Answer: Option A
Answer: (A) $ 14.00