divelab/Sys2Bench huggingface dataset:
Question: Ajay spends 20 per cent of his salary on house rent, 5 percent on food, 15 percent travel, 10 percent on clothes and the remaining amount of Rs.27000 is saved. What is Ajayâ€™s income?
Options:
A)Rs.60000
B)Rs.80500
C)Rs.54000
D)Rs.70500
E)None of these
Rationale: Explanation:
Savings = Income â€“ expenditure
100 â€“ (20+5+15+10) = 50%
50% of income = Rs.27000
:. Income = 27000 x 100/50 = Rs. 54000.
Answer: Option C
Answer: C
Question: In a certain lottery drawing, two balls are selected at random from a container with 30 balls, numbered from 1 to 30, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?
Options:
A)$9.85 x 10^6
B)$9.90 x 10^6
C)$1.00 x 10^7
D)$1.05 x 10^7
E)$2.9*10^5
Rationale: The max product of any two balls can be 29 * 100 = 9900 = 2.9 * 10^3
If you multiply it by $1000 the max amount will be 2.9 * 10^5.
E
Answer: E
Question: Of the 350 people attending a conference, 150 have signed up for the Marketing workshop and 320 have signed up for the Accounting workshop. If 60 of the people attending did not sign up for either workshop, then the number of people who signed up for both the Marketing and the Accounting workshops is:
Options:
A)180
B)220
C)245
D)260
E)275
Rationale: Since the information in the prompt refers to the 'standard' 5 groups, you can use the Overlapping Sets Formula to get to the solution:
Total = Gp.1 + Gp.2 - Both + Neither
350 = 150 + 320 - Both + 60
350 = 530 - Both
Both = 180
Final Answer:
A
Answer: A
Question: Average of 10 matches is 34, How many runs one should should score to increase his average by 4 runs.
Options:
A)A)70
B)B)76
C)C)78
D)D)80
E)E)88
Rationale: Explanation:
Average after 11 innings should be 38
So, Required score = (11 * 38) - (10 * 34)
= 418 - 340 = 78
Answer: Option C
Answer: C
Question: John makes $65 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Options:
A)7.69%
B)16.66%
C)17.8%
D)19%
E)21%
Rationale: Increase = (5/65)*100 = (1/13)*100 = 7.69%.
A
Answer: A
Question: Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 6 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 6 questions did Zachary answer correctly?
Options:
A)6
B)7
C)8
D)9
E)10
Rationale: i got two equations:
3x-2y=25
x+y=6
3x-2(6-x)=25
3x-12+2x=25
5x=37
x=7.4 or between 7 and 8. (ANS B)
Answer: B
Question: How many cubes of 8cm edge can be cut out of a cube of 16cm edge
Options:
A)36
B)2
C)8
D)48
E)None of these
Rationale: Explanation:
number of cubes=(16 x 16 x 16) / (8 x 8 x 8) = 8
Answer: C
Answer: C
Question: If Y < X and XM > YM, what must be true?
Options:
A)M < X.
B)M >0.
C)X < 0.
D)M < 0.
E)Y < 0.
Rationale: X>Y, bus as soon as M is multiplied to both sides inequality sign changes.
This is only possible when ve is multiplied on both sides. That means M is ve
B is the answer
Answer: B
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 12 : 1 ?
Options:
A)6 months
B)3 months
C)2 months
D)8 months
E)9 months
Rationale: Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 12. or x = (85000 * 12) / (42500 * 12) = 2.
So, B joined for 2 months.
Answer: C
Answer: C
Question: The average age of boys in a class is 16 years and that of the girls is 15 years. What is the average age for the whole class?
Options:
A)15
B)16
C)17
D)Insufficient Data
E)15.5
Rationale: We do not have the number of boys and girls. Hence we cannot find out the answer.
Answer is D.
Answer: D
Question: A copy machine, working at a constant rate, makes 35 copies per minute. A second copy machine, working at a constant rate, makes 75 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
Options:
A)90
B)2,700
C)3,300
D)5,400
E)324,000
Rationale: Together the two machines make 35+75=110 copies per minute. So, in half an hour they will make 110*30=3,300 copies.
Answer: C.
Answer: C
Question: What is the sum of the integers from -90 to 95, inclusive?
Options:
A)450
B)550
C)650
D)750
E)465
Rationale: In an arithmetic progression,
the nth term is given by tn=a+(n-1)d
here tn=95, a=-90, d=1
hence, 95=-90+(n-1)
or n=186
Sum of n terms can be calculated by sn=n/2(a+l)
a=first term, l=last term, n=no. of terms
sn=186*(-90+95)/2
sn=186*5/2 = 465
Answer : E
Answer: E
Question: If 96 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is :
Options:
A)16
B)14
C)20
D)18
E)22
Rationale: Given ratio = 5 : 7 : 4 : 8 , sum of ratio = 24
:. The smallest part = (96 *4/24) = 16
ANSWER:A
Answer: A
Question: Find the lowest common multiple of 10, 14 and 20.
Options:
A)360
B)420
C)510
D)320
E)140
Rationale: LCM=2*2*5*7=140.
Answer is E
Answer: E
Question: The ratio 4:20 expressed as percent equals to
Options:
A)20 %
B)25 %
C)55 %
D)65 %
E)None of above
Rationale: Explanation:
Actually it means 4 is what percent of 20, which can be calculated as,
(4/20)*100 = 4*5 = 20
Answer: Option A
Answer: A
Question: What do you get if you add 3 to 300 five times?
Options:
A)305
B)310
C)320
D)303
E)309
Rationale: D
303 , 303 , 303 , 303 , 303
Answer: D
Question: Three days ago, yesterday was the day before Sunday. What day will it be tomorrow?
Options:
A)monday
B)thursday
C)sunday
D)tuesday
E)wendesday
Rationale: Three days ago, yesterday was the day before Sunday, so three days ago was itself Sunday.
That means today is Wednesday, so tomorrow is Thursday
Answer: B
Question: Which one of the following can't be the square of natural number ?
Options:
A)465456
B)656565
C)521213
D)143642
E)643212
Rationale: The square of a natural number nerver ends in 2.
143642 is not the square of natural number.
Correct Option is D
Answer: D
Question: Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 75 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
Options:
A)26 : 15
B)12 : 7
C)13 : 7
D)15 : 6
E)13 : 6
Rationale: Sol. Distance travelled by Car A = 65 Ã— 8 = 520 km
Distance travelled by Car B = 75 Ã— 4 = 300 km
Ratio = 520/300 = 26 : 15
A
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is ?
Options:
A)118
B)290
C)119
D)139
E)132
Rationale: Number of words which can be formed
= 5! - 1 = 120 - 1
= 119.
Answer:C
Answer: C
Question: A farmer has 100337 seeds to plant throughout 9 acres. To evenly distribute the seeds, how many would he need to remove?
Options:
A)9
B)3
C)4
D)0
E)1
Rationale: For this solution you need to add the digits of the total seeds and find the closest number divisible by 9. 100337=14. 9 is divisible by 9. 14-5=9 Therefore the farmer would need to remove 4 seeds to divide the seeds evenly between the acres. Correcr answer C.
Answer: C
Question: Which of the following integers is a divisor of(15!+15)?
Options:
A)15
B)14
C)13
D)7
E)2
Rationale: When we say 15!, it just means 1*2*3*4*5*...*13*14*15
So you need to find the integer which is a divisor of
(1*2*3*4*5*...*13*14*15 + 15) = 15 (1*2*3*4*5*...*12*13*14 + 1) We obtain this by taking 15 common.
Hence 15 is definitely a divisor of (15! + 15).
A
Answer: A
Question: At a certain university, 7 students from the 10-student history department and 5 students from the 7-student English department will be selected to form a 12-student committee. At a neighboring university, 2 students from a 10-person math department and 3 students from a 7-student science department will be selected to form a 5-student focus group. What is the ratio of the number of ways in which the 12-student committee can be formed to the number of ways in which the 5-student focus group can be formed?
Options:
A)25/16
B)8/5
C)12/5
D)16/5
E)144/25
Rationale: Number of ways of selecting a 12 member student committee = 10C7 * 7C5
Number of ways of selecting a focus group of 5 students = 10C2 * 7C3
Ratio of 12 member student committee to 5 member focus group = 10C7∗7C5/10C2∗7C3= 8585
Answer: B
Answer: B
Question: The speed of a boat in upstream is 45 kmph and the speed of the boat downstream is 95 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
A)10 kmph
B)11 kmph
C)25 kmph
D)18 kmph
E)19 kmph
Rationale: Speed of the boat in still water = (45+95)/2 = 70 kmph. Speed of the stream = (95-45)/2 = 25 kmph.Answer: C
Answer: C
Question: How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
Options:
A)38
B)77
C)66
D)28
E)60
Rationale: Explanation:
The given digits are 1, 2, 3, 5, 7, 9
A number is even when its units digit is even. Of the given digits, two is the only even digit.
Units place is filled with only '2' and the remaining three places can be filled in âµPâ‚ƒ ways.
Number of even numbers = âµPâ‚ƒ = 60.
Answer: E
Answer: E
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
Options:
A)2999
B)2778
C)6000
D)2889
E)6612
Rationale: x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 18000 = 6000
Answer:C
Answer: C
Question: Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 48 people bought tickets to the concert, what was the total revenue from ticket sales?
Options:
A)$600
B)$820
C)$850
D)$980
E)$1,140
Rationale: Price of 1 ticket = 20$
Revenue generated from sales of first 10 tickets = 10 * (60/100 * 20 )
= 10 * 12 = 120
Revenue generated from sales of next 20 tickets = 20 *(85/100 * 20 )
=20*17 = 340
Revenue generated from sales of last 18 tickets = 20 * 18
= 360
Revenue generated from sales of 48 tickets = 120 + 340 + 360
= 820 $
Answer B
Answer: B
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is ?
Options:
A)0.5987
B)0.5904
C)0.5978
D)0.5928
E)0.5917
Rationale: P(winning prize atleast on one ticket)
= 1 - P("Losing on all tickets")
= 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)
= (1.64)(0.36)
= 0.5904
Answer: B
Answer: B
Question: Rakesh invested an amount of Rs.12000 at the rate of 10% simple interest and another amount at the rate of 20% simple interest. The total interest earned at the end of one year on the amount invested became 14 p.c.p.a. Find the total amount invested .
Options:
A)Rs.20000
B)Rs.22000
C)Rs.24000
D)Rs.25000
E)Rs.27000
Rationale: Let the second amount be Rs.x. then,
(12000* 10 * 1)/100 + (x*20 *1)/100 = ((12000 +x)* 14*1)/100
= 1200 +x/5 = (168000 +14x)/100
600000 + 100x = 840000 +70 x
30x = 240000; X = 8000
Total investment = 12000 +8000 = Rs.20000
ANSWER:A
Answer: A
Question: Today is 70 days before Mariah's graduation. If she graduates on a Sunday, what day of the week is it today?
Options:
A)Wednesday
B)Thursday
C)Friday
D)Saturday
E)Sunday
Rationale: Each weekday is repeated every 7 days. 70 divided by 7 is 10, with no remainder. Therefore, 70 days before the graduation occurs on the same weekday as the graduation, meaning today is a Sunday. Answer: E
Answer: E
Question: A cargo ship carrying four kinds of items, doohickies, geegaws, widgets, and yamyams, arrives at the port. Each item weighs 2, 11, 5, and 7 pounds, respectively, and each item is weighed as it is unloaded. If, in the middle of the unloading process, the product of the individual weights of the unloaded items equals 149,072,000 pounds, how many widgets have been unloaded?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: We need to know the number of widgets (which weigh 5 pounds each). The number of times that 5 divides the number is related to the number of times that 10 divides the number.
When we divide 149,072,000 by 1000, we get 149,072,000 = 149,072 * 5^3 *2^3.
149,072 is not divisible by 5, thus there are 3 widgets.
The answer is B.
Answer: B
Question: A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe-benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 7.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
Options:
A) 16.5%
B) 10%
C) 35%
D) 55%
E) 65%
Rationale: The amount by which employment costs rose is equal to 0.035(salary costs + fringe benefit costs);
On the other hand the amount by which employment costs rose is equal to 0.03*salary costs + 0.075*fringe benefit costs;
So, 35(S+F) = 30S+75F --> S = 9F --> F/S = 1/9 --> F/(S+F) = 1/(1+9) = 1/10 = 0.1.
Answer: B.
Answer: B
Question: The respective ages of father and his son are 44 and 16 years. In how many years will the father be twice as old as his son ?
Options:
A)19 years
B)9 years
C)10 years
D)15 years
E)12 years
Rationale: Suppose x years later the father will be twice as old as his son.
x + 44 = 2 (x + 16)
x = 44 - 32 = 12 years
answer : E
Answer: E
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
Options:
A)10
B)11
C)12
D)13
E)14
Rationale: Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.
a2 = 784 = (4)(196) = (22).(142)
a = (2)(14) = 28
a = 2l, l = a/2 = 14
l = (7/3)s
Therefore s = (3/7)(l) = 6 Circumference of the smaller circle = 2∏s = 12 cm.
Answer: Option C
Answer: C
Question: How many different subset of the set of the 12 Calendar Month will not have the Month of March.
Options:
A)1951
B)1948
C)1953
D)1947
E)1949
Rationale: This is a combination solution
Since we have 11 different Month other than the Month of March we can take any Month from the set of 11 Months to make a subset.
11C1 +11C2 + 11C3 + 11C4 + 11C5 + 11C6 + 11C7 + 11C8 + 11C9 + 11C10 + 11C11 = 1948
Plus the one set that is null that is the Set having no element in it which is 11C0 =1
= 1948 + 1 = 1949
E = 1949
Answer: E
Question: In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
Options:
A)76 liters
B)86 liters
C)60 liters
D)34 liters
E)18 liters
Rationale: 2:1 --- 60
1:2
2:4
---------------
3
3 ----------- 60
3 ----------- ? => 60 liters
Answer:C
Answer: C
Question: Ajay’s age is 125% of what it was 10 years ago, but 831/3 % of what it will be after ten years. What is his present age?
Options:
A)45 years
B)50 years
C)55 years
D)60 years
E)65 years
Rationale: Let the present age be x years.
Then, 125% of (x - 10) = x
And 831/3% of (x + 10) = x
Therefore, 125% of (x - 10) = 831/3% of ( x + 10)
5x/12 = 250/12
x = 50 years
ANSWER:B
Answer: B
Question: A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Options:
A)2.9 hrs
B)4.5 hrs
C)2.9 hrs
D)7.2 hrs
E)8.6 hrs
Rationale: Net part filled in 1 hour = (1/3 - 1/9)
= 2/9
The cistern will be filled in 9/2 hrs i.e., 4.5 hrs.
Answer:B
Answer: B
Question: Arnold and Danny are two twin brothers that are celebrating their birthday. The product of their ages today is smaller by 13 from the product of their ages a year from today. What is their age today?
Options:
A)2.
B)6.
C)5.
D)7.
E)9.
Rationale: ad = (a+1) (d+1) -13
0= a+d-12
a+d = 12
a=d (as they are twin brothers)
a=d=6
B is the answer
Answer: B
Question: P can complete a piece of work in 18 days & B can do the same piece of work in 15 days. They started working together but after 3 days P left & Q alone completed the remaining work. The whole work was completed in how many days?
Options:
A)12 days
B)12.5 days
C)13 days
D)13.5 days
E)15.5 days
Rationale: Both together worked for 3 days.
In 3 days , P can do = 3 x
1
18
=
1
6
th work
In 3 days, Q can do = 3 x
1
15
=
1
5
th work
In 3 days , work finished =
1
6
+
1
5
=
11
30
Balance work =
19
30
Balance work finished by Q => Time taken by Q to finish the balance work =
19
30
x 15 = 9.5 days
The whole work was completed in 9.5 + 3 = 12.5 days
B
Answer: B
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -.
Options:
A)2/10
B)4/13
C)3/5
D)9/7
E)1/4
Rationale: Explanation:
P(SᴜK) = P(S) + P(K) - P(S∩K), where S denotes spade and K denotes king.
P(SᴜK) = 13/52 + 4/52 - 1/52 = 4/13
Answer: B
Answer: B
Question: Mr X mixed 10 kg of variety A rice with 15 kg of variety B rice and sold the mixture at a price 40% more than that of A. He did not get any profit.What is the ratio of the cost price of variety A to that of B per kg?
Options:
A)2:5
B)3:5
C)4:5
D)5:8
E)8:5
Rationale: Let Rs X, Rs Y be the cost price per kg of variety A and variety B of rice
By data 10X + 15Y = 25 (1.4) X.
Since sale price of the mixture is 40% more than the cost price or A.
Therefore 10X + 15Y= 35X
Thus,15Y = 25X.
Hence, X : Y = 15 : 25 = 3 : 5
ANSWER:B
Answer: B
Question: What is the greatest prime factor of (11! × 10!  + 10! × 9!)/111?
Options:
A)2
B)3
C)5
D)7
E)11
Rationale: (11!×10! +10!×9!)/111
In numerator take out 10!*9! as common term
10!∗9!(11×10 +1)/111
10!∗9!∗111/111
10!∗9!
10! has 7 as the greatest prime factor, so ans is 7
ANSWER:D
Answer: D
Question: Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 16 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)?
Options:
A)24 km/hr
B)30 km/hr
C)36 km/hr
D)42 km/hr
E)48 km/hr
Rationale: Let the speed of the slower train be x m/s
Then, the speed of the faster train is 2x m/s
The relative speed is 3x m/s
(100 + 100)/16 = 3x
x = 25/6 m/s
So, the speed of the faster train is 50/6 = 50/6 * 18/5 = 30 km/hr
The answer is B.
Answer: B
Question: Find the 10th term of the arithmetic progression 1, 3.5, 6, 8.5,...?
Options:
A)20
B)23.5
C)22.5
D)18.25
E)19.5
Rationale: common difference = d = 3.5 - 1 = 2.5 ,, n = 10, a = first term = 1----- By using arithmetic progression , t10 = a + (n-1)*d = 1 + (10-1)*2.5 = 1+22.5 = 23.5 Ans - B
Answer: B
Question: A candidate scoring 25% in an examination fails by 30 marks , while another candidate scores 50 % mark, gets 20 marks more than the minimum pass marks . Find the minimum pass marks. Find the minimum pass percentage.
Options:
A)40%
B)45%
C)50%
D)55%
E)60%
Rationale: Let x be the maximum marks,
Then (25% of x)+30 = (50% of x)-20
=>X/4 + 30 =X/2 - 20
=>X=200
Hence maximum marks = 200
Minimum pass marks = 200/4 + 30 =80
Hence, minimum pass marks =80/200 X 100 =40%
ANSWER IS A
Answer: A
Question: A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 7 games?
Options:
A)x + 3y/(n + 3)
B)x + y/(n + 3)
C)(x + 3y)/(n + 3)
D)(nx + 3y)/(n + 7)
E)(3x + ny)/(n + 3)
Rationale: Total points in first n games = nx
Total marks in next 3 games is 3y
So, Average marks in n + 7 games = (nx+3y)/(n+7)
Hence, correct answer will be (D)
Answer: D
Question: 0.0004?=0.02
Options:
A)0.02
B)0.2
C)2
D)20
E)None of these
Rationale: Explanation :
Required Answer = 0.0004/0.02 = 0.04/2 = 0.02. Answer : Option A
Answer: A
Question: The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $40,000?
Options:
A)$38,796.
B)$40,000.
C)$38,976.
D)$39,679.
E)$36,796.
Rationale: 40,000 *1.16*.84= Unit and tens digit of the expression is 6 and 7 respectively.
Only option C fulfills the condition and hence is the answer
Answer: C
Question: A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?
Options:
A)3 1/5min
B)3 2/5min
C)3 3/5min
D)3 4/5min
E)3 min
Rationale: Explanation:
Do not be confused, Take this question same as that of work done question's. Like work done by 1st puncture in 1 minute and by second in 1 minute.
Lets Solve it:
1 minute work done by both the punctures =
(1/9+1/6)=(5/18)
So both punctures will make the type flat in
(18/5)mins=3 3/5mins
Option C
Answer: C
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Options:
A)77 m
B)17 m
C)82 m
D)28 m
E)26 m
Rationale: Let the breadth of the plot be b m.
Length of the plot = 3 b m
(3b)(b) = 867
3b2 = 867
b2 = 289 = 172 (b > 0)
b = 17 m.
Answer: B
Answer: B
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?
Options:
A)Rs. 4991
B)Rs. 5991
C)Rs. 6001
D)Rs. 6991
E)None
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 A
Answer: A
Question: Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 30 items in the same time Machine Z produces 24 items. If machine Y takes 36 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?
Options:
A)60
B)90
C)9 1/2
D)45
E)13 1/2
Rationale: rate z/rate y=24/30
time z/time y=30/24
30/24*36=45 minutes
D
Answer: D
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Options:
A)Rs.250
B)Rs.257
C)Rs.228
D)Rs.229
E)Rs.226
Rationale: CP1 = 100 SP1 = 90
CP2 = 80 SP2 = 80 * (140/100) = 112
22 ----- 100
55 ----- ? => Rs.250
Answer: A
Answer: A
Question: On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 10% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
Options:
A)10.5%
B)18%
C)15%
D)22%
E)11.11%
Rationale: 0.1 M = 0.90 E
=> E/M = 1/9 * 100 = 11.11%=E.
M - # of Motorists
E - # of Motorists exceeding speed
Answer: E
Question: What is the are of an equilateral triangle of side 6 cm?
Options:
A)8√3
B)9√3
C)7√3
D)4√3
E)3√3
Rationale: Area of an equilateral triangle = √3/4 S2
If S = 6, Area of triangle = √3/4 * 6 * 6
= 9√3 cm2;
Answer:B
Answer: B
Question: John left home and drove at the rate of 50 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?
Options:
A)235 miles.
B)245 miles.
C)255 miles.
D)265 miles.
E)275 miles.
Rationale: The total distance D traveled by John is given by
D = 50 * 2 + 3 * 55 = 265 miles.
Answer D
Answer: D
Question: If a large pizza has a radius that is 10% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
Options:
A)15%
B)21%
C)25%
D)30%
E)36%
Rationale: Let the radius of medium pizza be r. Then the radius of large pizza is 1.1r.
The area of the medium pizza is pi*r^2
The area of the large pizza is pi*(1.1*r)^2 = 1.21*pi*r^2, an increase of 21%.
The answer is B.
Answer: B