mathewhe/aqua_rat huggingface dataset:
Question: The distance between A&B is 600km. A person is traveling from A to B at 70km/hr started at 10AM and another person is traveling from B to A at 80km/hr and started at same time. Then at what time they meet together.
(A) 2PM
(B) 4PM
(C) 1PM
(D) 3PM
(E) 5PM
Rationale: Let x hours be they will meet together
distance covered by 1st person+distance covered by 2nd person = 600km
70x+80x = 600
x= 4 hr
They will meet = 10AM +4hr = 2PM
Answer is A
Answer: (A) 2PM
Question: there are 6561balls are there out of them 1 is heavy,find the minimum no of times the balls have to b weighted for finding out the heavy ball?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
Rationale: as 6561 =3^8
so minimum 8 number of times , balls have to be weighed.
ANSWER:B
Answer: (B) 8
Question: Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 25% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?
(A) $75
(B) $40
(C) $50
(D) $80
(E) $100
Rationale: Deargoodyear2013,
I'm happy to help.This is a relatively straightforward problem, not very challenging. BTW,Crazy Eddiewas the actually name of an electronics chain on the East Coast of the USA back in the 1970s.
Manufacturing now is $50. They now are making a 50% profit, so the selling price must be $100.
They had this same selling price, $100, before they made the change, and had a profit of 25%, so the manufacturing must have been $75. Answer = (A).
Answer: (A) $75
Question: Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.12000 then C's share is (in Rs.)
(A) 10000
(B) 6500
(C) 4800
(D) 7800
(E) 8500
Rationale: 18000:22500:27000
4:5:6
c share=12000*6/15=4800
ANSWER:C
Answer: (C) 4800
Question: Your friend collecting balls. Suppose he start out with 59 balls . You gave him another 20 balls. How many balls do your friend have at the end?
(A) 79
(B) 97
(C) 59
(D) 20
(E) 95
Rationale: Solution
Friend start with 59 balls.
You gave 20 balls: 59 + 20 = 79 balls.
So your friend will have 79 balls at the end.
Correct answer: A
Answer: (A) 79
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 100 metres?
(A) 22 seconds
(B) 65 seconds
(C) 78 seconds
(D) 20 seconds
(E) 21 seconds
Rationale: Speed of the boat downstream
= 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m
= 100/5 = 20 seconds.
Answer:D
Answer: (D) 20 seconds
Question: In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
(A) 80%
(B) 100%
(C) 84%
(D) 87.5%
(E) None of these
Rationale: Percentage of milk in the mixture formed = [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100% = 5/6 * 100% = 83.33%.
ANSWER:A
Answer: (A) 80%
Question: f two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
(A) 50%
(B) 80%
(C) 60 percent
(D) 84%
(E) 87%
Rationale: Given ratio = 1/8 : 1/5 = 5 : 8
Let first number be 5x and the second number be 8x.
The second number is more than first number by 3x.
Required percentage = 3x/5x * 100 = 60%.
Answer:C
Answer: (C) 60 percent
Question: Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 2000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
(A) 10,000
(B) 11,600
(C) 12,000
(D) 14,000
(E) 16,400
Rationale: Let the number of shares be x.
5*x -10000(money paid in taxes) = 6(x- 2000)
Solving for x, we get the shares as 12000.
Ans :(Option C)
Answer: (C) 12,000
Question: Cal wants to invest Rs. 50000 at the local bank that offers a rate of 12% per annum per year. If the interest is compounded monthly, how much will Cal get at the end of 3 years?
(A) 71534.84
(B) 71534.48
(C) 71538.44
(D) 71543.84
(E) 71548.34
Rationale: P = Rs. 50000; R = 12% p.a. = 1% per month; T = 3 years = 36 months
Amount = [50000 * (1 + 1/100)36]
= (50000 * (1.01)36) = Rs. 71538.44
Answer: C
Answer: (C) 71538.44
Question: Calculate the circumference of a circular field whose radius is 4 centimeters.
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
Rationale: Circumference C is given by
C = 2Ï€r = 2Ï€*4 = 8 Ï€ cm
correct answer D
Answer: (D) 8
Question: 210 school students were asked in a survey if they preferred Windows or Mac brand computers. 60 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 90 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
(A) 25
(B) 40
(C) 50
(D) 60
(E) 75
Rationale: We are told that60 Students claimed that they preferred Mac to Windows, which means that 60 preferred Mac but NOT Windows, so # of students who preferred Mac (P(A) as you wrote), does not equal to 60, it equals to 60+20 (20 is # of students who equally preferred both brands). Also we are asked to find # of the students who preferred Windows to Mac, so if you denote x as those who prefer Windows then you should calculate x-20.
So, if we use your formula it should be: 210={Mac}+{Windows}-{Both}+{Neither}=(60+20)+x-20+90 --> x=60 (# of student who prefer Windows) --> # of the students who preferred Windows to Mac is x-20=40.
Answer: (B) 40
Question: A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is
(A) 378
(B) 278
(C) 258
(D) 287
(E) 271
Rationale: Explanation:
area of cross roads = 55*4 + 35*4 - 4*4 = 344sq m
cost of graveling = 344 * (75/100) = Rs. 258
Answer: C) rs.258
Answer: (C) 258
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
(A) 67 sec
(B) 89 sec
(C) 36 sec
(D) 87 sec
(E) 45 sec
Rationale: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10
=36 sec.
Answer: C
Answer: (C) 36 sec
Question: Two persons start at the same point, walk in opposite directions with 5 km/hr and 5.5 km/hr respectively.
What is the distance separated after 2 and half hrs?
(A) 26.250 km
(B) 27.250 km
(C) 28.250 km
(D) 29.250 km
(E) 25.250 km
Rationale: As the two persons are moving in the opposite direction, so they will be separateed in 1 hour = 5 + 5.5 = 10.5 km.
They will be separated in 2.5 hours = 10.5 * 2.5 = 26.250 km
ANSWER:A
Answer: (A) 26.250 km
Question: 8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is ?
(A) 8/39
(B) 15/39
(C) 12/13
(D) 11/13
(E) None of these
Rationale: P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize)
= 1 - [16C1x14C1x12C1x10C1/16C4] = 15/39
Answer is B
Answer: (B) 15/39
Question: 38, 52, 22,79, 31,47, 13, 82
Which of the following numbers is greater than three-fourth of the numbers but less than one-fourth of the numbers in the list above?
(A) a- 56
(B) b- 65.5
(C) c- 69
(D) d- 71
(E) e- 73
Rationale: Important:- Arrange the numbers in ascending order first.
13, 22, 31, 38, 47, 52, 79, 82
3/4th of the number list represents- 52 (6th number)
remaining 1/4th list represents 79 (7 th number)
65.5 fits in between above 2
Answer:- B
Answer: (B) b- 65.5
Question: The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
(A) 2520
(B) 2420
(C) 2320
(D) 2620
(E) 2760
Rationale: We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) = 2520 sq.m
Answer: A
Answer: (A) 2520
Question: A bat is bought for Rs.400 and sold at a gain of 40% find its selling price
(A) A)Rs.560/-
(B) B)Rs.470/-
(C) C)Rs.480/-
(D) D)Rs.500/-
(E) E)Rs.520/-
Rationale: 100 % ------> 400 (100 * 4 = 400)
140 % ------> 560 (140 * 4 = 560)
Selling price = Rs.560/-
Answer : A
Answer: (A) A)Rs.560/-
Question: The angles of a triangle are in the ratio 4:3:8. Find the measurement of the largest of three angles of triangle.
(A) 96°
(B) 100°
(C) 120°
(D) 140°
(E) 160°
Rationale: If the ratio of the three angles is 4:3:8, then the measures of these angles can be written as 4x, 3x and 8x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence
4x + 3x + 8x = 180
Solve for x
15x = 180
x = 12
The measures of the three angles are
4x = 4 x 12° = 48
3x = 3 × 12 = 36°
8x = 8 × 12 = 96°
A
Answer: (A) 96°
Question: In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
(A) 41
(B) 30
(C) 35
(D) 48
(E) 49
Rationale: B
30
There is a meal for 200 children.
150 children have taken the meal.
Remaining meal is to be catered to 50 children.
Now, 200 children 120 men.
50 children = (120/200)x 50 = 30 men.
Answer: (B) 30
Question: If m, p, and t are distinct positive prime numbers, then (m^3)(p)(t) has how many different positive factors greater than 1?
(A) 8
(B) 9
(C) 12
(D) 15
(E) 27
Rationale: umber of factors of (2^a)*(3^b)*(5^c) ... = (a+1)(b+1)(c+1) ...
If m, p and t are the distinct prime numbers, then the number is already represented in its prime factorization form
Number of factors = (3+1)(1+1)(1+1) = 16
Out of these, one factor would be 1.
Hence different positive factors greater than 1 = 15
Correct Option: D
Answer: (D) 15
Question: In a certain neighborhood, there are half as many beige houses as white houses, and 3 times as many white houses as brown houses. What is the ratio of the number of brown houses to the number of beige houses?
(A) 4:1
(B) 3:5
(C) 2:3
(D) 1:3
(E) 1:4
Rationale: The ratio of beige:white:brown = 3:6:2
The answer is C.
Answer: (C) 2:3
Question: S = { 1,2,4,5,6}
T = { 4,5,6,8,12,10,7,14 }
what is the probability that x chosen from S and y chosen from T will result x*y = odd
(A) 1/3
(B) 21/32
(C) 20/11
(D) 58/20
(E) 11/20
Rationale: p: the probability that x*y is even, then p=1-p(x*y is odd)
p(x*y even)=p(x even)*p(y even)=3/5*6/8=9/20
And p=1-9/20=11/20
Option: E
Answer: (E) 11/20
Question: David purchased a Motor Bike and a mobile phone for Rs. 40000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 10 percent and the mobile phone at a profit of 10 percent. Overall he make a.
(A) loss of Rs. 200
(B) loss of Rs. 3200
(C) profit of Rs. 100
(D) profit of Rs. 200
(E) None of these
Rationale: Total C.P. = 40000+8000 = 48000
S.P. of motor bike = 40000/100*90= 36000
S.P. of Mobile = 8000/100*110 = 8800
Total S.P. = 36000 + 8800 = 44800
Tota. C.P. - Total S.P. = 48000 - 44800 = 3200
Answer : B
Answer: (B) loss of Rs. 3200
Question: On the number line, the number p is twice as many units from -2 as -2 is from 2. If p is less than –2, what is the value of p ?
(A) –18
(B) –10
(C) –6
(D) 10
(E) 14
Rationale: Distance between -2 and 2 = 4
Since number p is twice as many units from -2 as -2 is from 2
, therefore p can be -10 Since , p is less than -2 ,
the value of p = -10
Answer B
Answer: (B) –10
Question: Bob invested $2000 in fund A and $2000 in fund B. Over the next two years, the money in Fund A earned an annual interest of 30 percent for the two years and the money in fund B earned 30 percent annual interest compounded annually. Two years after bob made these investments. Bob's investment in fund B was worth how much more than his investment in fund A?
(A) 1. $180
(B) 2. $550
(C) 3. $300
(D) 4. $200
(E) 5. $220
Rationale: interest on fund A will be 1200. rate of interest will be 30% per annum simple interest as 60% is for 2 year. this will make investment A 3200 at the end of 2nd year.
interest on fund B will be 1380 on 30% interest compounded annually. This will make investment B 3380 at the end of 2nd year.
Difference in investment A and investment B=3380-3200=180
answer is A.
Answer: (A) 1. $180
Question: A, B and C have Rs.450 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
(A) A)100
(B) B)110
(C) C)120
(D) D)130
(E) E)140
Rationale: A+B+C = 450
A+C = 200
B+C = 350
--------------
A+B+2C = 550
A+B+C = 450
----------------
C = 100
Answer:A
Answer: (A) A)100
Question: A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work?
(A) 35 days
(B) 25 days
(C) 30 days
(D) 27 days
(E) 23 days
Rationale: Work done by B in 1 day = 1/10 - 1/14 = (7-5)/70
=2/70=1/35
So, B alone can do the work in 35 days.
ANSWER:A
Answer: (A) 35 days
Question: M is the sum of the reciprocals of the consecutive integers from 101 to 200, inclusive. Which of the following is true?
(A) 1/3 < M < 1/2
(B) 1/5 < M < 1/3
(C) 1/2 < M < 1
(D) 1/9 < M < 1/7
(E) 1/12 < M < 1/9
Rationale: M = 1/101 + 1/102 + 1/103 + ...... + 1/200
If we replace the first 99 terms by 1/200, then we get a sum = 100/200 = 1/2. Since the actual terms are larger than 1/200, the sum is larger than 1/2.
If we replace the all the 100 terms by 1/100, we get a sum = 100/100 = 1. Since the actual terms are smaller than 1/100, the sum is less than 1.
Therefore 1/2 < M < 1
Choice C
Answer: (C) 1/2 < M < 1
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
(A) 6%
(B) 2%
(C) 4%
(D) 5%
(E) 3%
Rationale: 150 = (750*5*R)/100
R = 4%
Answer: C
Answer: (C) 4%
Question: The average (arithmetic mean) of four numbers is 7x + 5. If one of the numbers is x, what is the average of the other three numbers?
(A) x + 1
(B) 3x + 3
(C) 9x + 20/3
(D) 5x + 4
(E) 15x + 12
Rationale: If the average of four numbers is 7x + 5, then the sum of all four numbers if 4 * (7x + 5) = 28x + 20. If one of the numbers is x, then the average of the remaining three numbers would be: (28x + 20 - x)/3 = (27x + 20)/3 = 9x + 20/3.
Answer is C.
Answer: (C) 9x + 20/3
Question: A train running at the speed of 90 km/hr crosses a pole in 15 seconds. What is the length of the train?
(A) 325
(B) 350
(C) 375
(D) 400
(E) 425
Rationale: Speed=(90 x(5/18)m/sec	=(25)m/sec.
Length of the train = (Speed x Time).
Length of the train =	((25)x 15)m = 375 m
C
Answer: (C) 375
Question: Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 16 boys and 44 girls. If there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
Rationale: Venn diagrams are useful for multiple values of a single variable e.g. State of mind - happy/sad/neither. When you have two or more variables such as here where you have gender - boy/girl too, it becomes unwieldy. In this case, either use the table or logic.
Table method is shown above; here is how you will use logic:
There are 6 happy boys.
There are 4 sad girls but total 10 sad children. So rest 6 sad children must be sad boys.
We have 6 happy boys and 6 sad boys. Total we have 16 boys. So 16 - 6 - 6 = 4 boys must be neither happy nor sad.
Answer (B)
Answer: (B) 4
Question: If a, b, and c are consecutive even positive integers, which of the following could be equal to a + b + c ?
(A) 141
(B) 200
(C) 606
(D) 391
(E) 412
Rationale: The key to answering this question quickly is to realize that a+b+c is a multiple of BOTH 2 and 3. With that information, you can quickly eliminate answer choices. If you don't recognize those two Number Properties though, then you can still get to the correct answer (but it will require a bit more work).
We're told that a, b and c are CONSECUTIVE EVEN INTEGERS, so we could write them algebraically as...
A + (A+2) + (A+4) = 3A + 6
We know that 3A + 6 COULD equal one of those five answers; we just have to find it...
Could 3A + 6 = 141
3A = 135
A = 45
This is NOT an EVEN INTEGER, so 141 is NOT the answer
Could 3A + 6 = 200
3A = 194
A = 64.6666
This is NOT an EVEN INTEGER, so 200 is NOT the answer
Could 3A + 6 = 606
3A = 600
A = 200
This IS an EVEN INTEGER! The numbers would be 200, 202 and 204. This IS the answer
Final Answer:
C
Answer: (C) 606
Question: James invested a certain sum of money in a simple interest bond whose value grew to $700 at the end of 3 years and to $ 800 at the end of another 2 years. What was the rate of interest in which he invested his sum?
(A) 9.09%
(B) 12.5%
(C) 6.67%
(D) 6.25%
(E) 8.33%
Rationale: Lets assume the Principal Amount (initial amount invested) to be P
rate of interest to beRand time as T. We need to find R
Now After a time of 3years the principal P amounts to $700 and after a time of 5years ( question says after another 2years so 3+2) P becomes $800.
Formulating the above data
Amount (A1) at end of 3years
A1= P(1 + 3R/100) = 700
Amount (A2) at end of 5years
A2 = P(1 + 5R/100) = 800
Dividing A2 by A1 we get
(1 + 5R/100)/(1 + 3R/100) = 8/7
after cross multiplication we are left with 11R =100 which gives R = 9.09%
Option: A
Answer: (A) 9.09%
Question: If 0.5% of A =65 paise, then the value of A is ?
(A) Rs. 130
(B) Rs. 17
(C) Rs. 1.70
(D) Rs. 4.25
(E) None
Rationale: Answer
∵ 0.5/100 of A = 65/100
∴ A = Rs. (65 / 0.5) = Rs. 130
Correct Option: A
Answer: (A) Rs. 130
Question: A boy and a girl appear for an interview against 2 vacant posts in an office. The probability of the boy's selection is 1/5 and that of the girl's selection is 1/3. What is the probability that only 1 of them is selected?
(A) 1/3
(B) 2/5
(C) 2/7
(D) 3/7
(E) 3/8
Rationale: Probability that only one of them is selected = (prob. that brother is selected) × (prob. that sister is not selected) + (Prob. that brother is not selected) × (Prob. that sister is selected)
= = 2/5
B
Answer: (B) 2/5
Question: If the length of an edge of cube P is twice the length of an edge of cube Q, what is the ratio of the volume of cube Q to the volume of cube P?
(A) 1/8
(B) 1/4
(C) 1/3
(D) 1/7
(E) 1/9
Rationale: The length of cube Q = 1;
The length of cube P = 2;
The ratio of the volume of cube Q to the volume of cube P = 1^3/2^3 = 1/8.
Answer: A
Answer: (A) 1/8
Question: For which of the following functions does f(−y)=−f(y) for all real number values of x?
(A) y^8−y^4
(B) y^2−y^6
(C) y^5/y^7
(D) y^9/(y^5+1)
(E) -32/5 putting y=2 on y^5/(y^2+1)
Rationale: all even root cannot be matched eliminated
put y=2
f(−y)=(−2)^5/(−2^)2+1=−32/5, and
−f(y)=−2^5/2^2+1=−32/5, for a match.
ANSWER: A
Answer: (A) y^8−y^4
Question: The area of circle O is added to its diameter. If the circumference of circle O is then subtracted from this total, the result is 12. What is the radius of circle O?
(A) –2/pi
(B) 2
(C) 3
(D) 4
(E) 6
Rationale: pi*r^2 + 2r -2*pi*r = 12
Simplifying the equation: pi*r(r-2)+2r=12
Without much algebraic: We can Test the answers quickly, then 6 is the only possible answer that will eliminate pi from equation.
Answer is E
Answer: (E) 6
Question: A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 100 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?
(A) 1
(B) 2
(C) 3
(D) 5
(E) 7
Rationale: The distance between the nest and the ditch is 100 meters.
15 times mean = A crow leaves its nest, and flies back ( going and coming back) i.e. 2 times we get total 30 rounds.
So the distance is 30 * 100 = 3000.
D = ST
3000/1.5 = T , I think we can take 3000 meters as 3 km, then only we get T = 2.( 1000 meters = 1 km)
D)
Answer: (D) 5
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
(A) 7/12
(B) 5/9
(C) 1/36
(D) 5/12
(E) 8/9
Rationale: No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.
Thus 6 * 5 * 4 = 120 favourable cases.
The total cases are 6 * 6 * 6 = 216.
The probability = 120/216 = 5/9.
ANSWER:B
Answer: (B) 5/9
Question: What is the greatest positive integer x such that 3^x is a factor of 9^5?
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30
Rationale: What is the greatest positive integer x such that 3^x is a factor of 9^5?
9^5 = (3^2)^5 = 3^10
C. 10
Answer: (C) 10
Question: A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
(A) 33
(B) 38
(C) 42
(D) 12
(E) 17
Rationale: Explanation:
After 10 days : 150 men had food for 35 days.
Suppose 125 men had food for x days.
Now, Less men, More days (Indirect Proportion)
\inline {\color{Blue} \therefore } 125 : 150 :: 35 : x 125 x x = 150 x 35
=> x=
=> x= 42
Answer: C
Answer: (C) 42
Question: What is the smallest positive integer x, such that 2160 x is a perfect cube?
(A) 100
(B) 6
(C) 8
(D) 12
(E) 18
Rationale: Take out the factors of 2160 that will come 6^3*10. for perfect cube you need every no. raise to the power 3. for 2160 to be a perfect cube, you need two 2 and two 5 that means 100
A is the answer.
Answer: (A) 100
Question: A certain computer manufacturing firm last year produced 80 percent of its computers using parts made by its subsidiary company. If the remaining 10,800 computers were produced using parts purchased from another parts manufacturer, how many computers were produced by the computer manufacturing firm altogether?
(A) 54,000
(B) 64000
(C) 62000
(D) 60000
(E) 68000
Rationale: 80% parts used of subsidary company, so 20% parts used of other companies.
Now, 20% parts = 10,800 computers
So, 1% parts = 10,800/20
Or, 100% parts = 54,000 computers.
Hence answer is (A)
Answer: (A) 54,000
Question: A takes twice as much time as B or thrice as much time to finish a piece of work.Working together they can finish the work in 2 days.B can do the work alone in:
(A) 5 hours
(B) 6 hours
(C) 7 hours
(D) 8 hours
(E) 4 hours
Rationale: Let B takes =x hours
A takes=x/2
1/x + 1/(x/2)=1/2
3/x=1/2
x = 6 hours
ANSWER:B
Answer: (B) 6 hours
Question: The average of 10 numbers is calculated as 16. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
(A) A)17
(B) B)18
(C) C)19
(D) D)22
(E) E)24
Rationale: Explanation:
10 * 16 + 36 – 26=170 => 170/10 = 17
A)
Answer: (A) A)17
Question: A college has 10 basketball players. A 5 member's team and a captain will be selected out of these 10 players. How many different selections can be made?
(A) 1260
(B) 210
(C) 10C6 *6!
(D) 10C5 *6
(E) None
Rationale: Solution:
A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways.
Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210 *6= 1260.
Alternatively, we can select the 5 member team out of the 10 in 10C5 ways = 252 ways.
The captain can be selected from amongst the remaining 5 players in 5 ways.
Therefore, total ways the selection of 5 players and a captain can be made,
=252 *5= 1260
Answer: Option C
Answer: (C) 10C6 *6!
Question: Two numbers are respectively 20% and 50% more than a third number. The percentage that is first of the second is?
(A) 77%
(B) 78%
(C) 79%
(D) 80%
(E) 81%
Rationale: I II III
120 150 100
150----------120
100-----------? => 80%
Answer:D
Answer: (D) 80%