mathewhe/aqua_rat huggingface dataset:
Question: The tax on a commodity is diminished by 10% but its consumption is increased by 20%. Find the decrease percent in the revenue derived from it?
(A) 18%
(B) 4%
(C) 32%
(D) 12%
(E) 52%
Rationale: 100 * 100 = 10000
80 * 120 = 9600
10000------- 400
100 ------- ? = 4%
Answer:B
Answer: (B) 4%
Question: The greatest ratio out of 2:3, 5:1, 3:2, 8:9 and 8:5 is?
(A) 2:3
(B) 3:2
(C) 5:1
(D) 8:5
(E) 8:9
Rationale: 2/3=0.666
5/1=5
3/2=1.5
8/9=0.888
8/5=1.6
ANSWER:C
Answer: (C) 5:1
Question: Amber works 10 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay?
(A) m/(20d)
(B) 10md/6
(C) 10d
(D) 20d/m
(E) 20md
Rationale: ANSWER: C The passage states that she works 10 days a month at d dollars per day, so 20 d is her monthly pay
Answer: (C) 10d
Question: Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?
(A) 85
(B) 97
(C) 109
(D) 178
(E) None
Rationale: Explanation: This is an alternating division and addition series: First, divide by 2, and then add 8.
Answer: Option D
Answer: (D) 178
Question: The number of new words that can be formed by rearranging the letters of the word 'LOVE' is ?
(A) 25
(B) 26
(C) 23
(D) 29
(E) 10
Rationale: Number of words which can be formed = 4! - 1
= 24 - 1
= 23.
Answer:C
Answer: (C) 23
Question: A restaurant meal cost $50 and there was no tax. If the tip was more than 20 percent but less than 25 percent of the cost of the meal, then total amount paid must have been between:
(A) $61 and $63
(B) $60 and $61
(C) $62 and 63
(D) $59 and $63
(E) $61 and $62.5
Rationale: let tip=t
meal cost=50
range of tip = from 20% of 50 to 25% of 50 = 10 to 12.5
hence range of amount paid= 50+T= 60 to 62.5 i.e. D
Answer: (D) $59 and $63
Question: A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary?
(A) Rs.500
(B) Rs.1500
(C) Rs.1000
(D) Rs. 900
(E) Rs. 800
Rationale: s-(1/2 s+ 1/4 s + 1/5 s) = 50
1/20 s =50
s=1000
ANSWER:C
Answer: (C) Rs.1000
Question: Little Roshini had $10.50. He spent some money on sweets and gave to his two friends $3.40 each. How much money was spent for sweets?
(A) $4.70
(B) $4.80
(C) $3.85
(D) $3.80
(E) $ 3.70
Rationale: Roshini spent and gave to his two friends a total of
x + 3.40 + 3.40 = $3.65
Money spent for sweet=
10.50 - 6.80 = $3.70
correct answer is E) $ 3.70
Answer: (E) $ 3.70
Question: In a simultaneous throw of two dice, what is the probability of getting a doublet?
(A) 1/6
(B) 1/4
(C) 2/3
(D) 3/7
(E) 1/2
Rationale: In a simultaneous throw of two dice, n(S) = (6 x 6)= 36.
Let E = event of getting a doublet = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}.
Therefore, P(E) = n (E)/ n(S) = 6/36 = 1/6.
ANSWER:A
Answer: (A) 1/6
Question: The average of marks obtained by 120candidates was 35. If the avg of marks of passed candidates was 39 & that of failed candidates was 39 and that of failed candidates was 15, the no.of candidateswho passed the examination is?
(A) 50
(B) 90
(C) 100
(D) 120
(E) 140
Rationale: Let the number of candidate who passed = y
Then, 39y + 15(120 - y) =120 x 35
⇒ 24y= 4200 -1800
∴ y= 2400 / 24 = 100
C
Answer: (C) 100
Question: In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73
students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table
tennis and badminton, 29 play both table tennis and cricket 30 play. Badminton and cricket and
16 students play all the sports. How many students play only cricket ?
(A) 36
(B) 42
(C) 39
(D) 47
(E) 37
Rationale: PERSONS PLAY CRICKET ONLY=N(C)-N(B∩C)+N(C∩T)-2(N(B∩T∩C))
=75-30+29-(2*16)
=42
ANSWER:B
Answer: (B) 42
Question: A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together.
(A) 18 days
(B) 22 Â½ days
(C) 24 days
(D) 26 days
(E) 28 days
Rationale: Explanation :
If A completes a work in 1 day, B completes the same work in 3 days
Hence, if the difference is 2 days, B can complete the work in 3 days
=> if the difference is 60 days, B can complete the work in 90 days
=> Amount of work B can do in 1 day= 1/90
Amount of work A can do in 1 day = 3 Ã— (1/90) = 1/30
Amount of work A and B can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45
=> A and B together can do the work in 45/2 days = 22 Â½ days
Answer IS B
Answer: (B) 22 Â½ days
Question: A invested $100 in a business after 6months B invested $200 in the business. End of the year if they got $100 as profit. Find A shares?
(A) $100
(B) $75
(C) $20
(D) $120
(E) $50
Rationale: A:B = 100*12:200*6
A:B = 1:1
A's share = 100/2 = $50
Answer is E
Answer: (E) $50
Question: A basket has 5 apples and 5 oranges. Three fruits are picked at random. What is the probability that at least 2 apples are picked?
(A) 1/2
(B) 3/5
(C) 3/8
(D) 4/9
(E) 7/10
Rationale: The total possible choices are 10C3 = 120
The ways to choose 3 apples: 5C3 = 10
The ways to choose 2 apples: 5C2 * 5C1 = 50
P(at least 2 apples) = 60/120 = 1/2
The answer is A.
Answer: (A) 1/2
Question: 30 men can do a work in 40 days. When should 12 men leave the work so that the entire work is completed in 40 days after they leave the work?
(A) 18 days
(B) 10 days
(C) 55 days
(D) 44 days
(E) 22 days
Rationale: Total work to be done = 30 * 40 = 1200
Let 12 men leave the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.
40P + (12 * 40) = 1200
40P = 720 => P = 18 days
Answer:A
Answer: (A) 18 days
Question: Find the area of circle whose radius is 6m?
(A) 113.14
(B) 111.54
(C) 117.27
(D) 112.88
(E) 112.98
Rationale: 22/7 * 6 * 6
= 113.14
Answer:A
Answer: (A) 113.14
Question: 2+2+2²+2³ ... +2^10
(A) 2^9
(B) 2^10
(C) 2^11
(D) 2^35
(E) 2^37
Rationale: 2+2=2^2
2^2+2^2=(2^2)*(1+1)=2^3
2^3+2^3=(2^3)*(1+1)=2^4
so you can notice the pattern... in the end you will have 2^10+2^10, which will give you 2^11
Answer C
Answer: (C) 2^11
Question: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
(A) 10
(B) 11
(C) 13
(D) 15
(E) 17
Rationale: Let the three integers be x, x + 2 and x + 4.
Then, 3x = 2(x + 4) + 3 x = 11.
Third integer = x + 4 = 15.
ANSWER : D
Answer: (D) 15
Question: If a committee of 2 people is to be selected from among 4 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
(A) 24
(B) 40
(C) 50
(D) 80
(E) 120
Rationale: Each couple can send only onerepresentativeto the committee. Let's see in how many ways we can choose 2 couples (as there should be 2 members) each to send onerepresentativeto the committee: 4C2=6.
But these 2 chosen couples can send two persons (either husband or wife): 2*2=2^2=4.
Total # of ways: 4C2*2^2=24.
Answer: A
Answer: (A) 24
Question: This year, MBB Consulting fired 10% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
(A) 99%
(B) 100.0%
(C) 102.8%
(D) 104.5%
(E) 105.0%
Rationale: 100 employees getting 1000$ avg, so total salary for 100 ppl = 100000
10% reduction in employees lead to 90 employees and a salary increase of 10% of previous avg salary
Thus the new avg salary is = 10%(1000)+1000 = 1100
so total salary of 90 employees is 90*1100 = 99000
Now the new salary is more than previous salary by x%. x = (99000/100000)*100 = 99%
So the Answer is A
Answer: (A) 99%
Question: What should come in place of question mark (?) in the following equation ?
27 3⁄11 + 118 2⁄5 - 32 5⁄22 = 11 6⁄11 + ?
(A) 113 9⁄10
(B) 111 9⁄11
(C) 90 9⁄10
(D) 101 9⁄11
(E) None of these
Rationale: ? = (27 + 118 – 32 – 11) + (3⁄11 + 2⁄5 - 5⁄22 - 6⁄11)
or, ? = 102 + (30+44−25−60 /110)=12
or,? = 102 – 1⁄10 = 1019⁄10
Answer E
Answer: (E) None of these
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
(A) 16 a.m
(B) 10 a.m
(C) 17 a.m
(D) 15 a.m
(E) 11 a.m
Rationale: D = 110 – 20 = 90
RS = 20 + 25 = 45
T = 90/45 = 2 hours
8 a.m. + 2 = 10 a.m.
Answer: B
Answer: (B) 10 a.m
Question: The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?
(A) 18 πr2
(B) 12πr2
(C) 3 πr2
(D) 6 πr2
(E) 9 πr2
Rationale: Explanation:
2 * π * 2r * 3r = 12πr2
Answer: B
Answer: (B) 12πr2
Question: There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?
(A) 7/22
(B) 7/25
(C) 8/21
(D) 8/23
(E) 8/25
Rationale: Total number of balls = (8 + 7 + 6) = 21
Let E = event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.
Therefore, n(E) = 8.
P(E) = 8/21.
C)
Answer: (C) 8/21
Question: If xy represents a positive two digit number, where x and y are single digit integers, which of the following cannot be true?
(A) x+y =9
(B) (x)(y)=9
(C) x-y = 9
(D) y-x= 9
(E) x/y = 9
Rationale: (A) xy = 45 or 63 or 27
(B) xy = 33 or 19
(C) 90
(D) impossible
(E) xy = 91
(D) is impossible because 09 is not a valid two digit number --- if there's a zero in the ten's place, that's just 9, a single digit number. Therefore, no valid two digit number would satisfy (D).
ans D
Answer: (D) y-x= 9
Question: A recipe for a large batch of fruit juice at a factory calls for 10% oranges, 20% lemons, and 70% limes. if 200 oranges are used, how many limes are needed?
(A) 200
(B) 700
(C) 1400
(D) 2800
(E) 7000
Rationale: 10%= 200 fruit
100%=2000 fruit
70% of 2000 fruit=1400 fruit
1400 limes
ANSWER:C
Answer: (C) 1400
Question: There is a 10% chance that Tigers will not win at all during the whole season. There is a 20% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Federer will play during the season?
(A) 55%
(B) 60%
(C) 70%
(D) 72%
(E) 80%
Rationale: There is a 10% chance that Tigers will not win at all during the whole season
We can infer that there is 90% chance Tigers will win .
Similarly There is a 20% chance that Federer will not play at all in the whole season
We can also infer that there is 80% chance that Federer will play.
Answer E
Answer: (E) 80%
Question: A company has 600 employees, 40% of whom are employed part time. If it hires 60 new employees, 15% of whom are employed part time, what will be the percent increase in part time employees?
(A) 1 2/3 %
(B) 2 2/3 %
(C) 4 %
(D) 3.61 %
(E) 9 %
Rationale: Total employee = 600
Part time Empl = 600 * 40/100 =240
New part time empl = 60 * (15/100)
=9
Total new part time Emp = 9+240= 249
Old part time Emp = 240
% increase = (new - old)*100/old
=9*100/249
= 3.61 %
Ans-D
Answer: (D) 3.61 %
Question: A password for a computer uses six digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
(A) 1/32
(B) 1/64
(C) 1/8
(D) 2/5
(E) 1/2
Rationale: To calculate all the possibilities, there are 10 choices for each digit. The number of possibilities for six digits is 10 x 10 × 10 × 10 × 10 × 10 = 1,000,000 possible combinations.
Prime numbers constitute 2, 3, 5, 7 and 11. In addition to zero, this is 5 total possibility for each digit. So the number of satisfactory variants is 6 x 6 × 6 × 6 × 6 × 6. So the probability is 1/2 x 1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/64.
The right answer is choice (B).
Answer: (B) 1/64
Question: The fourth proportional to 12, 16 and 18 is?
(A) 24
(B) 66
(C) 55
(D) 88
(E) 61
Rationale: (15*18)/12
= 24
Answer:A
Answer: (A) 24
Question: A side of beef lost 30 percent of its weight in processing. If the side of beef weighed 500 pounds after processing, how many pounds did it weigh before processing?
(A) 714.28
(B) 712
(C) 714.88
(D) 714.25
(E) 714
Rationale: Let weight of side of beef before processing = x
(70/100)*x = 500
=> x = (500 * 100)/70 = 714.28
Answer A
Answer: (A) 714.28
Question: Find a sum for first 5 prime number'ss?
(A) 22
(B) 28
(C) 29
(D) 32
(E) 34
Rationale: Required sum = (2 + 3 + 5 + 7 + 11) = 28
Note: 1 is not a prime number
Option B
Answer: (B) 28
Question: A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
(A) 111
(B) 771
(C) 200
(D) 873
(E) 811
Rationale: When the second train leaves Mumbai the first train covers 40 * 1 = 40 km
So, the distance between first train and second train is 40 km at 10.00am
Time taken by the trains to meet
= Distance / relative speed = 40 / (50 -40) = 4 hours
So, the two trains meet at 2 p.m. The two trains meet 4 * 50 = 200 km away from Mumbai.
Answer: C
Answer: (C) 200
Question: A school has 4 section of Chemistry in Class X having 40, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student.
(A) 50.25
(B) 52.25
(C) 51.25
(D) 53.25
(E) None of the above
Rationale: Required average marks
= 40×50+35×60+45×55+42×45/40+35+45+42
= 2000+2100+2475+1890/162
= 8465⁄162 = 52.25
Answer B
Answer: (B) 52.25
Question: How many integers are divisible by 3 between 10! and 10! + 40 inclusive?
(A) 6
(B) 7
(C) 8
(D) 13
(E) 10
Rationale: D - 7
10! is divisible by 3
There are 12 numbers between 10! and 10!+40 that are divisible by 3.
Hence 13
Answer: (D) 13
Question: A scuba diver descends at a rate of 35 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 3500feet below the sea level..how long will he take to reach the ship?
(A) 160 minutes
(B) 120 minutes
(C) 100 minutes
(D) 76 minutes
(E) 77 minutes
Rationale: Time taken to reach = 3500/35= 100 minutes
ANSWER:C
Answer: (C) 100 minutes
Question: The sum of three integers is 24. The largest integer is 3 times the middle integer, and the smallest integer is 11 less than the largest integer. What is the product of the three integers?
(A) 200
(B) 225
(C) 250
(D) 275
(E) 300
Rationale: Let x be the middle integer. Then the largest is 3x and the smallest is 3x - 11.
3x - 11 + x + 3x = 24
x = 5
The three integers are 4, 5, and 15.
The product is 4*5*15 = 300
The answer is E.
Answer: (E) 300
Question: In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−4, −4)?
(A) 4
(B) 2
(C) 0
(D) −2
(E) −4
Rationale: slope = rise/run = 7/14 = 1/2
The equation of the line is y = (1/2)x + b
3 = (1/2)(10) + b
b = -2
The equation of the line is y = (1/2)x - 2
To find the x-intercept, let y = 0:
0 = (1/2)x - 2
x = 4
The answer is A.
Answer: (A) 4
Question: A sum of 11,500 amounts to 13,500 in 5 years at the rate of simple interest. What is the rate of interest?
(A) 2%
(B) 3%
(C) 6%
(D) 5%
(E) 8%
Rationale: B
3%
S.I. = (13500 - 11500) = 2000.
Rate = (100 x 2000)/(11500x5)% = 3%
Answer: (B) 3%
Question: If two balls are randomly selected from a green urn containing 8 black and 8 white balls and placed into a yellow urn initially containing 5 black and 3 white balls. What is the probability that the yellow urn will contain an equal number of black and white balls after the change?
(A) A.2/9
(B) B.4/9
(C) C.5/9
(D) D.7/30
(E) E.1/9
Rationale: To have equal number of black and white balls, the yellow urn must have 5 black and 5 white balls. So the balls we select out of the green urn must be both white.
Probability (first ball is white) = 8/16
Probability(second ball is white) = 7/15
Probability (both balls are white) = (8/16)*(7/15) = 7/30
Answer D
Answer: (D) D.7/30
Question: A man purchased 4 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)300
(B) B)350
(C) C)450
(D) D)470
(E) E)500
Rationale: Explanation:
10 * 150 = 1500
4 * 100 + 5 * 150 = 1150
1500 – 1150 =350
B
Answer: (B) B)350
Question: If 1/a + 1/b + 1/c = 1 / (a + b + c); where a + b + c 1 0; abc 1 0, then what is the value of ( a
+ b ) ( b + c ) ( c + a )?
(A) Equal to 0
(B) Greater than 0
(C) Less than 0
(D) Less than 1
(E) Cannot be determined
Rationale: 1/a+1/b+1/c=1/(a+b+c)
or (bc+ac+ab)/(abc)=1/(a+b+c)
or (ab+bc+ac)(a+b+c)=abc
or abc+(a^2)c+(a^2)b+(b^2)c+abc+(b^2)a+(c^2)b+(c^2)a+abc=abc
or 2abc+(a^2)c+(a^2)b+(b^2)c+(b^2)a+(c^2)b+(c^2)a=0
also,
( a+ b ) ( b + c ) ( c + a )=2abc+(a^2)c+(a^2)b+(b^2)c+(b^2)a+(c^2)b+(c^2)a
or ( a+ b ) ( b + c ) ( c + a )=0
ANSWER:A
Answer: (A) Equal to 0
Question: A truck traveled 120 km with a speed of 60 kmh. How much time did it take to reach the destination?
(A) 3 hours
(B) 4 hours
(C) 5 hours
(D) 2 hours
(E) 6 hours
Rationale: Time = Distance/Speed
120/60 = 2
Answer: D
Answer: (D) 2 hours
Question: A worker makes a toy in every 2h. If he works for 120h, then how many toys will he make ?
(A) 40
(B) 60
(C) 45
(D) 39
(E) None
Rationale: No. of toys = 120/2 = 60
Answer : B
Answer: (B) 60
Question: From the integer n, if n*n is odd, then what is true from below options?
(A) n is odd
(B) n*n*n is even
(C) n is even and n*n*n is even
(D) n is even
(E) All of the above
Rationale: n is odd
Option A
Answer: (A) n is odd
Question: If a wholesaler distributes items to several outlets (A, B, C and D) in the ratio of 1/2 : 1/11 : 1/12 : 1/13 then find the total number of items the wholesaler distributes?
(A) 289
(B) 1289
(C) 1389
(D) 1281
(E) 128
Rationale: Here, A : B : C : D = 1/2 : 1/11 : 1/12 : 1/13
1) L.C.M of 2 : 11 : 12 : 13 is 1716
2) Find the number of books each friend received --------- (To find no. of books each friend has, multiply the ratio with the L.C.M. calculated)
A = (1/2) x 1716 = 858
B = (1/11) x 1716 = 156
C = (1/12) x 1716 = 143
D = (1/13) x 1716 = 132
3) Total number of toys = (858 x + 156 x + 143 x + 132 x) = 1289 x
Minimum number of pens (x) = 1
Therefore, total number of items= 1289 items.
Correct option :B
Answer: (B) 1289
Question: Which is better investment 11% stock at 143 or 9 ¾% stock at 117
(A) 11% stock at 143
(B) 9 3/4 % stock at 117
(C) Both
(D) Cannot be compared
(E) None of these
Rationale: Let the investment in each (143*117)
Income in first case = (11/143*143*117)=1287
Income in second case=((39/117*4)*143*117)=1394.25
Clearly, 9 ¾% stock at 117
Option B
Answer: (B) 9 3/4 % stock at 117
Question: If x is less than y by 35% then y exceed x by:
(A) 33.33%
(B) 25%
(C) 75%
(D) 53.85%
(E) None of these
Rationale: Using formula (x/(100-x)*100) where x is Percentage decrease (here it is 35%)
=> 35/(100-35)*100
=53.85%
ANSWER:D
Answer: (D) 53.85%
Question: A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?
(A) 10 days
(B) 77 days
(C) 66 days
(D) 55 days
(E) 54 days
Rationale: A can do the work in 30/2 i.e., 15 days.
A and B's one day's work = 1/15 + 1/30 = (2 + 1)/30 = 1/10
So A and B together can do the work in 10 days.
Answer: A
Answer: (A) 10 days
Question: A man deposits $2000 in a bank at 4% per annum and $ 3000 in UTI at 14% per annum. Find the rate of interest for the whole sum.
(A) 15%
(B) 18%
(C) 11%
(D) 17%
(E) 10%
Rationale: Following the above formula,we have the rate of interest for the whole sum
=(2000*4)+(3000*14)/2000+3000=50000/5000=10%.
Answer is D
Answer: (D) 17%
Question: The average age of three boys is 25 years and their ages are in proportion 3:5:7. What is the age in years of the eldest boy?
(A) 6
(B) 19
(C) 35
(D) 45
(E) 51
Rationale: 3x + 5x + 7x = 75
x =5
7x =35
Answer:C
Answer: (C) 35
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 117 grams of water?
(A) 100
(B) 102
(C) 104
(D) 106
(E) 108
Rationale: (16/18)*117 = 104 grams
The answer is C.
Answer: (C) 104
Question: The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994, is Rs. 42 per kg. The inflation rate for the years 1994 and 1995 are expected to be 16% each. The expected price of sugar on January 1, 1996 would be
(A) 58.48
(B) 56.4
(C) 50.6
(D) 24.6
(E) None of these
Rationale: Explanation :
Increase in the price of sugar = (16+2)= 18%
Hence, price of the sugar on Jan 1, 1996
=> (42 * 118 * 118)/( 100 * 100 ) = Rs 58.48.
Answer : A
Answer: (A) 58.48
Question: During a certain week, a seal ate 50% of the first 80 smelt it came across, and 20% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
(A) 48
(B) 40
(C) 55
(D) 64
(E) 80
Rationale: Total smelt = x.
Then, 0.5*80+0.2(x-80)=0.4*x --> x=120 --> 0.4*x=48.
Answer: A.
Answer: (A) 48
Question: An urn contains 5 red, 6 blue and 8 green balls. 4 balls are randomly selected from the urn, find the probability that the drawn ball are 1 blue and 1 red and 2 green balls ?
(A) 70/323
(B) 50/323
(C) 52/969
(D) 60/323
(E) 25/321
Rationale: Sample space = no. of ways 4 balls were drawn from urn = 19C4 = 3876
No. ways 1 blue and 1 red and 2 green balls were drawn from bag = 6C1 * 5C1 * 8C2 = 840
Probability = 840 / 3876 = 70/323
Ans - A
Answer: (A) 70/323
Question: 100 white and black tiles will be used to form a 20x20 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
(A) 75
(B) 80
(C) 85
(D) 70
(E) 95
Rationale: Answer = D
Please refer diagram below
80 - 10 = 70
Answer: (D) 70
Question: If y is 25 percent greater than x, then x is what percent less than y?
(A) 12.5%
(B) 15%
(C) 20%
(D) 25%
(E) 33%
Rationale: y = 1.25x
x = y/1.25 = 4y/5 = y - (1/5)*y
1/5 is 20%.
The answer is C.
Answer: (C) 20%
Question: A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?
(A) 6 metre
(B) 12 metre
(C) 120 metre
(D) 1200 metre
(E) 130 metre
Rationale: Number of times wheel moves in 1 hour = 10 * 60 = 600
:. Distance moves = (600 *20) cms = 12000 cms
In metres = 120 metre
ANSWER:C
Answer: (C) 120 metre
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 22 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
(A) 877 m
(B) 210 m
(C) 167 m
(D) 887 m
(E) 265 m
Rationale: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train
= (15 x 22)m = 330 m. Let the length of the platform be x meters. Then, (x + 330)/36 = 15
==> x + 330 = 540 ==> x
= 210 m.
Answer: B
Answer: (B) 210 m
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
(A) 177m
(B) 180m
(C) 167m
(D) 197m
(E) 287m
Rationale: Length of the train be ‘X’
X + 120/15 = X + 180/18
6X + 720 = 5X + 900
X = 180m
Answer: B
Answer: (B) 180m
Question: Sandy bought 65 books for $1080 from one shop and 55 books for $840 from another shop. What is the average price that Sandy paid per book?
(A) $14
(B) $16
(C) $18
(D) $20
(E) $22
Rationale: average price per book = (1080 + 840) / (65 + 55) = 1920 / 120 = $16
The answer is B.
Answer: (B) $16