mathewhe/aqua_rat huggingface dataset:
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) 200
(B) 250
(C) 350
(D) 800
(E) 830
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: If a boat goes 6 km upstream in 30 minutes and the speed of the stream is 3 kmph, then the speed of
the boat in still water is
(A) 12 kmph
(B) 13 kmph
(C) 14 kmph
(D) 15 kmph
(E) None of these
Rationale: Explanation:
Rate upstream = (6/30)*60 kmh = 12 kmph.
Speed of stream = 3 kmph.
Let speed in still water is x km/hr
Then, speed upstream = (x ï¿½3) km/hr.
x-3 = 12 or x = 15 kmph
Answer: D
Answer: (D) 15 kmph
Question: The ratio of buses to cars on River Road is 1 to 13. If there are 60 fewer buses than cars on River Road, how many cars are on River Road?
(A) 65
(B) 60
(C) 55
(D) 40
(E) 45
Rationale: B/C=1/13
C-B=60.........> B=C-60
(C-60)/C=1/13
Testing answers. Clearly Eliminate BCDE
Put C=65.........> (65-60)/65=5/65=1/13
Answer: A
Answer: (A) 65
Question: What is the greatest prime factor of (11!10!) + (11!12!)?
(A) 11
(B) 17
(C) 19
(D) 23
(E) 29
Rationale: 11!10! + 11!12!
= 11!10! (1+11*12)
= 12!11!(133)
= 12!11!(7*19)
The greatest prime factor is 19.
The answer is C.
Answer: (C) 19
Question: Find the invalid no.from the following series 15 46 63 71 75 77 78
(A) 23
(B) 46
(C) 45
(D) 59
(E) 40
Rationale: In this question, if you start from the beginning, firstly the difference is 31, then the difference is 17, then the difference is 8. So there is no logic. If you start backwards,you can see that firstly, 1 is added, then 2 is added, then 4 is added, then 8,16 and 32 should have been added. So you have got the right clue. So 15 + 32 the first number should be 47 and afterwards, the series becomes + 16, + 8, + 4and so on. 46
B
Answer: (B) 46
Question: Rs.750/- distributed among A,B and C such that on decreasing their shares by RS.15,RS.10 and RS.5 respectively, The balance money would be divided among them in the ratio 3:4:5. Then, A’s share is:?
(A) Rs.195/-
(B) Rs.295
(C) Rs.185
(D) Rs.165
(E) Rs.265
Rationale: A:B:C = 3:4:5
Total parts = 12
A's share is = 3 parts
12 -----> Rs.720/-
3 -----> Rs.180/-
A's total = 180 + 15 = Rs.195/-
A)
Answer: (A) Rs.195/-
Question: If annual decrease in the population of a town is 10% and the present number of people is 500 what will the population be in 1 year?
(A) 450
(B) 310
(C) 250
(D) 410
(E) 390
Rationale: Population in 1 year = 500(1 - 10/100) = 500*90/100 = 450
Answer is A
Answer: (A) 450
Question: Find a sum for first 8 prime numbers?
(A) 22
(B) 28
(C) 59
(D) 77
(E) 84
Rationale: Required sum = (2 + 3 + 5 + 7 + 11+13+17+19) = 77
Note: 1 is not a prime number
Option D
Answer: (D) 77
Question: Two third of three fourth of a number is 24. Then one third of that number is
(A) 15
(B) 12
(C) 16
(D) 17.5
(E) 18
Rationale: Description :
=> (2/3)*(3/4)*x = 24
=> x=48,1/3x = 16
Answer C
Answer: (C) 16
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
(A) 4:5
(B) 4:3
(C) 4:9
(D) 4:4
(E) 4:1
Rationale: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √16 : √9 = 4:3
Answer: B
Answer: (B) 4:3
Question: find the average of first 40 natural numbers?
(A) 40.5
(B) 70
(C) 80
(D) 20.5
(E) 10.5
Rationale: sum of first n natural numbers=n(n+1)/2;
So,sum of 40 natural numbers=(40*41)/2 820.
Therefore the required average=(820/40) 20.5.
ANSWER D 20.5
Answer: (D) 20.5
Question: Which of the following numbers is not prime? (Hint: avoid actually computing these numbers.)
(A) 6!-1
(B) 6!+21
(C) 6!+41
(D) 7!-1
(E) 7!+11
Rationale: Notice that we can factor out 3 out of 6!+21 --> 6!+21=3*(2*4*5*6+7), which means that this number is not a prime.
Answer: B
Answer: (B) 6!+21
Question: What is the local value of 7 in the difference of 100889 and local value of 3 in 28943712?
(A) 7000
(B) 700
(C) 70000
(D) 70
(E) 7
Rationale: 100889 - (Local value of 3) = 100889 - 3000 = 97889
Local value of 7 in 97889 = 7000
A
Answer: (A) 7000
Question: What percent of 15 is 15 percent of 1?
(A) 0.001
(B) 0.01
(C) 0.1
(D) 1
(E) 101
Rationale: 15 % of 1 = (15/100) * 1 = 15/100
To determine what percentage of 15 this is :
[15][/100*15] *100 = 1%
Ans : D
Answer: (D) 1
Question: An article was sold after a discount of 20% and there wasa gain of 20%. If the profit made onit was Rs.6 less than thediscount offered on it, find its SP?
(A) Rs. 48
(B) Rs. 56
(C) Rs. 72
(D) Rs. 81
(E) Rs. 83
Rationale: Let CP = Rs. 100x
SP = Rs. 120x
MP = 120x/80 * 100 = Rs. 150x
D = Rs. 150x - Rs. 120x = Rs. 30x
D - P = 30x - 20x = Rs. 6, 10x = Rs. 6
120x = 120/10 * 6 = Rs. 72
C
Answer: (C) Rs. 72
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 9 boys when No boy gets more than one prize?
(A) 504
(B) 514
(C) 517
(D) 520
(E) 527
Rationale: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 9 ways. The second in 8 ways and the third in 7 ways. But fundamental principle, (9 x 8 x 7) ways = 504 ways
A
Answer: (A) 504
Question: Kramer can pack 10 boxes of cigarettes per minute. If there are 5 boxes of cigarettes in one case, how many cases can Kramer pack in 2 hours?
(A) 100
(B) 120
(C) 240
(D) 150
(E) 200
Rationale: Kramer can pack 10 boxes per min.
Therefore in 2 hrs(120mins)he can pack 120*10= 1200 boxes.
If there are 5 boxes in one case then then the total number of cases packed by Kramer = 1200/5 = 240
Answer is C
Answer: (C) 240
Question: If x=1/5, which expression has the greatest value?
(A) x^(1/3)
(B) x^(1/2)
(C) 1/(2x)
(D) x/.03
(E) x^(-3)
Rationale: Options A and B are both less than 1.
Option C: 1/(2(1/5)) = 5/2 = 2.5
Option D: (1/5) / 0.03 = 1/0.15 = 6.6666...
Option E: (1/5)^(-3) = 5^3 = 125
The answer is E.
Answer: (E) x^(-3)
Question: An alloy of copper and zinc contains copper and zinc in the ratio 8 : 2. Another alloy of copper and zinc contains copper and zinc in the ratio 4 : 6. In what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc?
(A) 5 : 1
(B) 4 : 1
(C) 3 : 1
(D) 6 : 1
(E) 8 : 1
Rationale: Let Alloy_1 be x units, and let Alloy_2 be y units.
So, fraction of copper in Alloy_1 = 8x/10, and fraction of zinc in Alloy_1 = 2x/10
Similarly, fraction of copper in Alloy_2 = 4y/10, and fraction of zinc in Alloy_2 = 6y/10.
Mixing them, we get
copper = 8x/10 +4y/10; zinc = 2x/10 + 6y/10
So, 8x+4y = 2x+6y
-> 6x = 2y
-> x/y =6/2 = 3/1
So, they must be mixed in the ratio 3 : 1
Answer : C
Answer: (C) 3 : 1
Question: 2 44 4 41 6 38 8 - Look carefully for the pattern, and then choose which pair of numbers comes next.
(A) 35 10
(B) 12 10
(C) 9 34
(D) 52 10
(E) 34 89
Rationale: Here, there are two alternating patterns, one addition and one subtraction. The first starts with 2 and increases by 2; the second starts with 44 and decreases by 3.
ANSWER D
Answer: (D) 52 10
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
(A) 33 kg
(B) 31 kg
(C) 32 kg
(D) 36 kg
(E) 37 kg
Rationale: B
31 kg
Let A, B, C represent their respective weights.
Then, we have: A + B + C = (45 x 3) = 135 .... (i)
A + B = (40 x 2) = 80 .... (ii)
B + C = (43 x 2) = 86 ....(iii)
Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)
Subtracting (i) from (iv), we get : B = 31.
B's weight = 31 kg.
Answer: (B) 31 kg
Question: John buys an old scooter for Rs. 2000 and spends Rs. 200 on its repairs. If he sells the scooter for Rs. 2640, his gain percent is :
(A) 10%
(B) 20%
(C) 10%
(D) 5%
(E) None of these
Rationale: Explanation :
Solution: C.P. =Rs. (2000+200) =Rs. 2200; S.P. = Rs. 2640.
Gain% = (440*100/2200) = 20%.
Answer : B
Answer: (B) 20%
Question: Ben worked for 7 days on a task that will take him 14 days to complete alone before he was joined by Blake. both of them completed the remaining task in 1 and half days. how many days will it take both of them to complete the entire job?
(A) 3
(B) 2
(C) 2
(D) 8
(E) 9
Rationale: Explanation:
Ben and Blake completed half work in 1.5 days
=> they can complete whole work in 3 days
Answer: Option A
Answer: (A) 3
Question: What is the greatest prime factor of (12!11!) + (12!13!)?
(A) 41
(B) 71
(C) 107
(D) 157
(E) 211
Rationale: 12!11! + 12!13!
= 12!11! (1+12*13)
= 12!11!(157)
The answer is D.
Answer: (D) 157
Question: A square mirror has exactly half the area of the rectangular wall on which it is hung. If each side of the mirror is 24 inches and the width of the wall is 42 inches, what is the length of the wall, in inches?
(A)  21.4
(B)  23.4
(C)  25.4
(D)  26.4
(E)  27.4
Rationale: Since the mirror is 42 inches in all sides, it must be a square. Area of a square is A=a^2; 24^2=576.Area of rectangle is double of that 2 *576=1152.Now A=lw and we need find w so A/l=w ; 1152/42= 27.4 Answer!
Answer: E
Answer: (E)  27.4
Question: David covered a distance of 50 miles on his first trip. On a later trip he traveled 75 miles while going six times as fast. His new time compared with the old time was:
(A) twice as much
(B) three times as much
(C) the same
(D) half as much
(E) a fourth as much
Rationale: Let t be the time of the first trip.
On the later trip, David can travel 300 miles in time t.
The trip of 75 miles takes t/4.
The answer is E.
Answer: (E) a fourth as much
Question: Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 30 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
(A) 10%
(B) 12%
(C) 15%
(D) 29%
(E) 20%
Rationale: Let me try a simpler one.
Lets assume that candidate got 30% votes and total votes is 100.
Candidate won = 30
Remaining = 70
To get 50%, candidate requires 20 votes from 100 which is 20% and 20 votes from 70.
20/70 = 2/7= .285 = 28.5%
Which is approx 29%. Hence the answer is D.
Answer: (D) 29%
Question: A man has Rs. 400 in the denominations of one-rupee notes, five-rupee notes and ten rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?
(A) 45
(B) 60
(C) 75
(D) 90
(E) 95
Rationale: Let number of notes of each denomination be x.
Then x + 5x + 10x = 400
16x = 400
x = 25.
Hence, total number of notes = 3x = 75
Answer: Option C
Answer: (C) 75
Question: What percent of 120 are 90?
(A) 25%
(B) 50%
(C) 75%
(D) 33%
(E) 30%
Rationale: Explanation:
(?% /100) * 120 = 90
? = 75%
ANSWER IS C
Answer: (C) 75%
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. What is the total distance traveled by the man?
(A) 5.75
(B) 5.7
(C) 5.76
(D) 5.74
(E) 5.71
Rationale: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76 Answer: C
Answer: (C) 5.76
Question: Simplify: (4 – 5) – (13 – 18 + 2).
(A) -1
(B) –2
(C) 1
(D) 2
(E) 3
Rationale: (4 – 5) – (13 – 18 + 2).
= -1-(13+2-18).
= -1-(15-18).
= -1-(-3).
= -1+3.
= 2.
correct answer D
Answer: (D) 2
Question: If the wheel is 10 cm then the number of revolutions to cover a distance of 1200 cm is?
(A) 11
(B) 14
(C) 18
(D) 19
(E) 10
Rationale: 2 * 22/7 * 10 * x = 1200 => x = 19
Answer: D
Answer: (D) 19
Question: What is the place value of 1 in the numeral 2134?
(A) 120
(B) 140
(C) 400
(D) 100
(E) 200
Rationale: Option 'D'
1 * 100 = 100
Answer: (D) 100
Question: In how many different ways can the letters of the word FACETIOUS be arranged in such a way that the vowels occupy only the odd positions?
(A) 1220
(B) 1860
(C) 2420
(D) 2880
(E) 3260
Rationale: The 5 vowels can be arranged in 5 odd places in 5! ways.
The 4 consonants can be arranged in 4 even places in 4! ways.
The number of arrangements with vowels in odd positions = 5! Ã— 4! = 120 Ã— 24 = 2880
The answer is D.
Answer: (D) 2880
Question: You are filling up your car with gas. Your tank can hold 19 gallons. Your car started with x gallons in it. You paid $20 in gas. What was the cost of gas per gallon?
(A) 19/20
(B) x/20
(C) (19-x)/20
(D) x-19)/20
(E) 19+20/x
Rationale: Amount of gas you added to your car: 19-x
Price per gallon: (19-x)/20
Answer: C
Answer: (C) (19-x)/20
Question: If a and b are two numbers one if then is negative integer and other one is a prime number, which of the following CANNOT be the value of ab?
(A) 9
(B) 14
(C) 21
(D) -32
(E) 25
Rationale: By the definition the prime numb number cannot be negative, so the answer will be a negative value
Answer is D
Answer: (D) -32
Question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?
--
(A) 12
(B) 360
(C) 60
(D) 180
(E) 720
Rationale: 5C3 * 4C2 * 4C2 = 10*6*6 = 360.
Answer:B.
Answer: (B) 360
Question: Jill works as a waitress at the local diner where she earns an hourly wage of $4.00 per hour and a standard tip rate of 15% of the cost of the orders she serves. If she worked four 8-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
(A) 280
(B) 300
(C) 320
(D) 350
(E) 400
Rationale: Jill earns 4 dollars/hour and the hourly tip is (3/20)*40.
Jill thus earns 4*8+8*2*3 per day(or 4(8)+6(8)=10(8)=80).
Jill has worked for 4 days -> 80*4=320.
This matches answer choice C.
Answer: (C) 320
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
(A) 15
(B) 17
(C) 19
(D) 10
(E) 12
Rationale: 90 * 10/60 = 15 kmph
Answer: A
Answer: (A) 15
Question: A car travels at a speed of 75 miles per hour. How far will it travel in 5 hours?
(A) 425 miles
(B) 625 miles
(C) 325 miles
(D) 375 miles
(E) 625 miles
Rationale: During each hour, the car travels 65 miles. For 5 hours it will travel
75 + 75 + 75 + 75 + 75 = 5 *65 = 375 miles correct answer D
Answer: (D) 375 miles
Question: Mrs. Evans gave a test to her freshmen economics class, which has 25 students enrolled and 22 of them answered question 1 correctly. If 20 answered question 2 correctly and 3 did not take the test then how many answered both questions correctly?
(A) 30
(B) 20
(C) 23
(D) 17
(E) 19
Rationale: Total number of enrolled students = 25
Number of students who did not take test = 3
Hence, number of students who took test = 25 - 3 = 22
Number of students who answered Q2 correctly =20, therefore, all students who took test answered Q2 correctly.
So, number of students who answered Q1 correctly, also answered Q2 correctly = 20.
Number of students who answered both Q1 & Q2 correctly = 20.
ANSWER:B
Answer: (B) 20
Question: Three mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the three arrange themselves in line such that Frankie’s requirement is satisfied?
(A) 5
(B) 6
(C) 7
(D) 3
(E) 8
Rationale: 3 mobsters can stand in 3! ways = 6
in half of the cases one person will be ahead and in the other person in the other half.
thus 3 cases.
D
Answer: (D) 3
Question: List I: 3, 4, 8, 19
List II: x, 3, 4, 8, 19
(A)  6
(B)  7
(C)  8
(D)  9
(E)  10
Rationale: We start by calculating the median of the numbers of list I: 3, 4, 8, 19. We see that the numbers in the list are in order already and, since we have an even number of numbers, the median is the average of the two middle numbers.
median = (4 + 8)/2
median = 12/2
median = 6
The median of list I is 6.
Looking at list II: x, 3, 4, 8, 19, we see that we have an odd number of terms. Thus, when the list is ordered from least to greatest the median must be the middle term. Since the medians of the two lists must be equal, we know that the median of list II must be 6 and therefore x is 6.
The answer is A.
Answer: (A)  6
Question: The average of first four prime numbers greater than 50 is?
(A) 50
(B) 57
(C) 89
(D) 56
(E) 60
Rationale: 53 + 59 + 61 + 67 = 240/4 = 60
Answer: E
Answer: (E) 60
Question: 3/5 * [(2/3 + 3/8)/2] - 1/16 =
(A)  1/4
(B)  19/16
(C)  15/16
(D)  9/13
(E)  0
Rationale: We need to simplify the expression using PEMDAS.
Parentheses
Exponents
Multiplication andDivision
Addition andSubtraction
The calculation of an equation or expression must be carried out in the following order:
1) Operations within parentheses (or absolute value bars or radicals)
2) Exponents
3) Multiplication and division from left to right
4) Addition and subtraction from left to right
The answer is A.
Answer: (A)  1/4
Question: Two trains, B and C, started simultaneously from opposite ends of a 50-mile route and traveled toward each other on parallel tracks. Train B, traveling at a constant rate, completed the 50-mile trip in 4 hours; Train C, traveling at a constant rate, completed the 50-mile trip in 2 hours. How many miles had train B traveled when it met train C?
(A)  16.66
(B)  24
(C)  32.66
(D)  42
(E)  46
Rationale: As the ratio of the rates of B and C is 2 to 4 then the distance covered at the time of the meeting (so after traveling the same time interval) would also be in that ratio, which means that B would cover 2/(2+4)=2/6 of 50 miles: 50*2/6=16.66 miles.
Answer: A.
Answer: (A)  16.66
Question: 40, 45, 50, 55, 60, 70, 75, 100, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 22.3, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: The average of {40, 45, 50, 55, 60, 70, 75, 100, 100, 100} is 69.5.
1 standard deviation below the mean is 69.5 - 22.3 = 47.2. Hence there are two scores (40 and 45) more than 1 standard deviation below the mean.
Answer B.
Answer: (B) 2
Question: The slant height of a cone is 13 cm and radius of the base is 9 cm, find the curved surface of the cone?
(A) 367
(B) 378
(C) 365
(D) 26
(E) 28
Rationale: π * 13 * 9
= 367
Answer:A
Answer: (A) 367
Question: In 1995 a certain store had 1,900 tools in stock that had been purchased for $30 each. If 1,000 of these tools were sold in 1995 for $40 each and the remaining 800 were sold in 1996 for $50 each, how many greater was the gross profit on the tools sold in 1996 than the gross profit on those sold in 1995?
(A) $0
(B) $6,000
(C) $8,000
(D) $32,000
(E) $40,000
Rationale: The keyword here isGross Profit:
Gross Profit = (Selling Price - Original Price)*(# of Items Sold)
So lets figure out what the Gross Profit for 1995:
GP1995 = (40-30)*(1000) = 10000
And the Gross Profit for 1996:
GP1996 = (50-30)*(900) = 18000
So the difference would be:
18000-10000 = 8000
ANSWER: C 8000
Answer: (C) $8,000
Question: Evaluate: 11 + sqrt(- 4 + 6×4÷3)=....
(A) 3
(B) 33
(C) 43
(D) 23
(E) 13
Rationale: According to order of operations, inner brackets first where 6×4÷3 is first calculated since it has a multiplication and a division.
6×4÷3 = 24÷3 = 8
Hence
11 + sqrt(- 4 + 6×4÷3) = 11 + sqrt(- 4 + 8)
= 11 + sqrt(4) = 11 + 2 = 13
correct answer is E) 13
Answer: (E) 13
Question: Right across the street is a fast food outlet that sells chicken in the order of 6, 9 and 20 only. Determine the maximum number of chicken pieces that cannot be ordered from the outlet?
(A) 43
(B) 40
(C) 50
(D) 39
(E) 45
Rationale: A
43
Let us break the problem into different parts.
We know that after six, all the numbers that are divisible by three can be ordered. This is because we can expand them as the sum off sixes and nines.
After twenty six, the numbers that are divisible by three if subtracted by twenty can also be ordered.
After forty six, all the numbers will fit in one of the already discussed category. Thus all the numbers can be ordered.
So forty three is the last number that does not come under any of the already discussed category.
44 = 20 + 6 * 4, 45 = 6 * 6 + 9
Answer: (A) 43
Question: Rohan's income doubles after every one year. If the initial income was Rs. 4 lakhs, What would be the income after 6 years?
(A) Rs. 2.24 crores
(B) Rs. 2.28 crores
(C) Rs. 2.52 crores
(D) Rs. 2.56 crores
(E) None of these
Rationale: Explanation:
Income after 1 year = Rs. (4 * 21) lakhs
Income after 2 years = Rs. (4 * 2 * 2) lakhs = Rs. (4 x 22) lakhs
Income after 6 years = Rs. (4 * 26) lakhs = Rs. 256 lakhs = 2.56 crores.
ANSWER: D
Answer: (D) Rs. 2.56 crores
Question: In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 72. What is the total number of students in the school?
(A) 72
(B) 80
(C) 120
(D) 40
(E) 150
Rationale: Explanation: Let the number of students be x.
Then, Number of students above 8 years of age = (100 - 20)% of x = 80% of x.
80% of x = 72 + 2/3 of 72
80/100x = 120
x = 150.
Answer: Option E
Answer: (E) 150
Question: A man has Rs. 288 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
(A) 45
(B) 60
(C) 75
(D) 18
(E) 95
Rationale: Let number of notes of each denomination be x.
Then x + 5x + 10x = 288
16x = 288
x = 18.
Hence, total number of notes = 3x = 18.
Answer: Option D
Answer: (D) 18
Question: A person purchased a TV set for Rs. 19000 and a DVD player for Rs. 7000. He sold both the items together for Rs. 31150. What percentage of profit did he make?
(A) 48%
(B) 70%
(C) 40%
(D) 50%
(E) 20%
Rationale: The total CP = Rs. 19000 + Rs. 7000
= Rs. 26000 and SP
= Rs. 39000
Profit(%)
= (39000 - 26000)/26000 * 100
= 50%
Answer: D
Answer: (D) 50%
Question: A cloth merchant has announced 25% rebate in prices. If one needs to have a rebate of Rs. 40. Then how many shirts each costing Rs.32 he should purchase?
(A) 12
(B) 69
(C) 5
(D) 32
(E) 17
Rationale: Explanation:
The number of shirts = X
Rebate = (25/100 × 32 X) = 8X
8X = 40 or X = 5
ANSWER:C
Answer: (C) 5
Question: How many seconds will a 200 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
(A) 26 sec
(B) 30 sec
(C) 12 sec
(D) 19 sec
(E) 12 sec
Rationale: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 200 * 3/50
= 12 sec.
Answer:C
Answer: (C) 12 sec
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
(A) 4.25
(B) 5
(C) 6.25
(D) 7
(E) 7.5
Rationale: Required run rate = 282 - (3.2 x 10) =	250 = 6.25
40	40
C)
Answer: (C) 6.25
Question: 56: 65 :: 68 :?
(A) 49
(B) 84
(C) 86
(D) 64
(E) 56
Rationale: Ans 86
Reverse of 68
ANSWER:C
Answer: (C) 86
Question: In an election between two candidates first candidate got 60% of votes polled and second Candidate got 260 votes. The total number of votes polled was?
(A) votes
(B) votes
(C) votes
(D) votes
(E) votes
Rationale: Total = 100 %,
First person got 60%
second person got remaining 40 % of votes.
than 40 % = 260
40% = 40×7 = 260
100% =100×7 =700 votes
A)
Answer: (A) votes
Question: The ratio of the capacity to do work of A and B is 3 : 2. If they together can complete a work in 18 days, then how long does A take to complete the work alone?
(A) 45
(B) 30
(C) 24
(D) 40
(E) None of these
Rationale: LLet A and B take 3x and 2x days to complete the work
1/3x+1/2x=1/18 ⇒x=15
So A will take 45 days.
Answer: A
Answer: (A) 45
Question: Mike earns $14 per hour and Phil earns $10.5 per hour. Approximately how much less, as a percentage, does Phil earn than Mike per hour?
(A) 25%
(B) 32.5%
(C) 37%
(D) 37.5%
(E) 40%
Rationale: let it be x % less ,then
=14(1-x/100)=10.5
1-x/100=10.5/14
x=350/14
x=25%
ANSWER:A
Answer: (A) 25%