divelab/Sys2Bench huggingface dataset:
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Options:
A)33
B)77
C)18
D)99
E)66
Rationale: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/9
=> 1/x = 1/6 - 1/9 = (3 - 2)/18 = 1/18
=> x = 18.
Answer: C
Answer: C
Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 25, and 30 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Options:
A) 4/11
B) 1/2
C) 15/22
D) 150/11
E) 11/4
Rationale: P1 takes 12 hrs
Rate for P2P3 together = 1/25 + 1/30 = 11/150
Therefore they take 150/11
Ratio = 150/11 = D
Answer: D
Question: If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 3460, which of the following could be the values of x, y, and z?
I. x=21,y=42,z=36
II.x=20,y=41,z=30
III.x=20,y=42,y=36
Options:
A)I only
B)II only
C)III only
D)I​ and II
E)I and III
Rationale: 10 sec answer if you know how to find the units digit of a number
The number given is of the form of square, so calculate the units digit - Here your objective is to find the sum where last digit is 0
x = 20, so x^2 will have units digit 0
y = 42, so y^2 will have units digit 4
z = 36, so z^2 will have units digit 6
Calculate the units digit , the units digit will be 0
Test with options II and I, only option III will satisfy the condition , hence this will be our answer is option C.
Answer: C
Question: 20 men do a work in 20days. How many men are needed to finish the work in 10days?
Options:
A)50
B)20
C)30
D)10
E)40
Rationale: men required to finish the work in 10days = 20*20/10 = 40
Answer is E
Answer: E
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
A)7 1/2 sec
B)7 1/7 sec
C)7 2/2 sec
D)8 1/2 sec
E)7 1/9 sec
Rationale: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec
Answer: D
Answer: D
Question: The sum of three consecutive even numbers is 36. Find the middle number of the three?
Options:
A)14
B)16
C)18
D)24
E)36
Rationale: Three consecutive even numbers (2P - 2), 2P, (2P + 2).
(2P - 2) + 2P + (2P + 2) = 36
6P = 36 => P = 6.
The middle number is: 6P = 36.
ANSWER:E
Answer: E
Question: Tough and Tricky questions: Combinations.
six contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Options:
A)6
B)7
C)18
D)16
E)24
Rationale: Four contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
We have 2 slots to be filled using 6 contestants:6 options for slot1*3 option for slot2
= 6* 3
= 18
Ans. C) 18
Answer: C
Question: Pipe A fills a tank of capacity 950 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is open for a minute and then closed and then pipe C is open for a minute and then closed and the cycle is repeated, when will the tank be full?
Options:
A)57 minutes
B)14 minutes
C)39 minutes
D)40 minutes 20 seconds
E)None of these
Rationale: In one cycle they fill 40+30-20 = 50 liters
950 = 50*n => n = 19
here n = number of cycles.
total time = 19*3 = 57 as in one cycle there are 3 minutes.
thus 57 minutes
ANSWER:A
Answer: A
Question: A certain college party is attended by both male and female students. The ratio of male to female students is 4 to 5. If 9 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?
Options:
A)46
B)50
C)54
D)58
E)62
Rationale: The ratio is 4:5 = 8:10, so there are 8k males and 10k females.
If 9 males left, the ratio would be 1:2 = 5:10, so there would be 5k males and 10k females.
8k-5k = 9
k = 3
8k + 10k = 24 + 30 = 54
The answer is C.
Answer: C
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
A)15 kmph
B)11 kmph
C)88 kmph
D)18 kmph
E)12 kmph
Rationale: 90 * 10/60
= 15 kmph
Answer:A
Answer: A
Question: Robert's salary was decreased by 40% and subsequently increased by 40%. how much percentage does he lose?
Options:
A)16%
B)20%
C)25%
D)30%
E)50%
Rationale: let original salary be $100
Salary after decreasing 40% = 100 - 100 x 40/100 = $60
Salary after increasing 40% on $60 = 60 + 60 x 40/100 = $84
Percentage of loss = 100 - 84 = 16%
Answer : A
Answer: A
Question: The average height of 12 girls out of a class of 20 is 161 cm. and that of the remaining girls is 158 cm. The average height of the whole class is :
Options:
A)142.3 cms
B)162.3 cms
C)160.5 cms
D)142.8 cms
E)159.8 cms
Rationale: Explanation:
Average height of the whole class =(12×161+8×158/20)=159.8 cms
Answer E
Answer: E
Question: Tracy's mum gave her $64 to go shopping. She bought a jumper for $20, a T-shirt for $10, and a pair of shoes for $9. How much money does Tracy have left?
Options:
A)$33
B)$54
C)$25
D)$60
E)$10
Rationale: Step 1: Find the total cost of the clothes.
$20 + $10 + $9 = $39
Step 2: Find the amount of money left.
$64 – $39 = $25
Tracy has $25 left.
Answer is C.
Answer: C
Question: Patty ran a marathon at an average speed of 3 mph for some time and then at an average speed of 6 mph for the rest of the marathon. If she made no stops during the run and her average speed for the entire marathon was 5 mph, for what fraction of the total time did she run at 3 mph?
Options:
A) 1/5
B) 2/3
C) 2/5
D) 3/5
E) 1/3
Rationale: We don't need to get into calculations for solving this question. We can use the concept of weighted averages.
We know that if the average speed for the entire marathon was 5 mph, she ran at 6 mph for a longer duration.
2 1
3--5----6
This shows that you can divide the entire journey in 3 equal parts. Thus, 2/3 part she ran at 6 mph and 1/3 part she ran at 3 mph.
Answer: E
Answer: E
Question: If 8 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
Options:
A)41
B)28
C)43
D)44
E)45
Rationale: n(n-1)/2 =8*7/2
=28
ANSWER:B
Answer: B
Question: We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value R of the ratio A/B?
Options:
A)1/2
B)1/3
C)2/3
D)1/4
E)1/5
Rationale: R-> A/B=20*21*……*39/21*22*….*39*40=20/40=1/2.
Therefore, the answer is A.
Answer: A
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 7m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Options:
A)54
B)32
C)75
D)28
E)11
Rationale: A/8 = 7 * 7 => A = 7 * 7 * 8
x * 2x = 7* 7 * 8
x = 14 => 2x = 28
Answer:D
Answer: D
Question: A train 150 meters long completely crosses a 320 meters long bridge in 40 seconds. What is the speed of the train is?
Options:
A)32
B)42
C)54
D)66
E)09
Rationale: S = (150 + 320)/40 = 470/40 * 18/5 = 42
Answer: B
Answer: B
Question: If x is a sum of all even integers on the interval 13...63 and y is their number, what is the GCD (x, y)?
Options:
A) 1
B) 13
C) 26
D)25
E) 1014
Rationale: x = 14 + 16 + ... + 62 = (largest + smallest)/2 *(# of terms) = (14 + 62)/2*25 = 38*25.
GCD of 25 and 39*25 is 25.
Answer: D.
Answer: D
Question: If 10power2y=25, the 10power-y equals:
Options:
A)-1/5
B)1/625
C)1/50
D)1/25
E)1/5
Rationale: 10power2y=25, (10powerY)power2= 5power2, 10powerY= 5, 1/10powerY=1/5, 10power-Y=1/5, correct answer will be (E)
Answer: E
Question: The missing term in the sequence 2, 3, 5, 7, 11, ... 17, 19 is
Options:
A)11
B)13
C)15
D)17
E)18
Rationale: Sequence is contain prime numbers.
Final sequence : 2,3,5,7,11,13,17,19
ANSWER:B
Answer: B
Question: Two employees M and N are paid a total of Rs. 550 per week by their employer. If M is paid 120 percent of the sum paid to N, how much is N paid per week?
Options:
A)Rs.220
B)Rs.250
C)Rs.280
D)Rs.300
E)Rs.320
Rationale: Let the amount paid to M per week = x
and the amount paid to N per week = y
Then x + y = 550
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 550
⇒ y[12/10 + 1] = 550
⇒ 22y/10 = 550
⇒ 22y = 5500
⇒ y = 5500/22 = 500/2 = Rs.250
B)
Answer: B
Question: A grocer has 400 pounds of coffee in stock, 40 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
Options:
A)28%
B)30%
C)32%
D)34%
E)44%
Rationale: 1. 40% of 400=160 pounds of decaffeinated coffee
2. 60% of 100=60 pounds of decaffeinated coffee
3. Wt have 220 pounds of decaffeinated out of 500 pounds, that means 220/500*100%=44%. The correct answer is E.
Answer: E
Question: A man can do a piece of work in 4 days, but with the help of his daughter, he can do it in 3 days. In what time can his daughter do it alone?
Options:
A)12
B)28
C)26
D)19
E)112
Rationale: Explanation:
Daughter’s 1 day’s work = (1/3 – 1/4) = 1/12
Daughter alone can do the work in 12/1 = 12 days
ANSWER: A
Answer: A
Question: Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999?
Options:
A)50,029
B)50,000
C)50,019
D)50,128
E)50,191
Rationale: Sekar: Rajeev: jatin = (25000×12+35000×12+45000×12):(35000×24) : (35000×12)
= 1260000 : 840000 : 420000
= 3 : 2 : 1.
Rajeev's Share =Rs.(150000×2/6)
=Rs.50000.
Answer: B
Answer: B
Question: Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 18 times as heavy as water?
Options:
A)1:2
B)3:2
C)9:1
D)5:2
E)6:5
Rationale: G = 19W
C = 9W
Let 1gm of gold mixed with x gm of copper to get 1+x gm of the alloy
1gm gold + x gm copper = x+1 gm of alloy
19W+9Wx = x+1 * 18W
19+9x = 18(x+1)
x = 1/9
Ratio of gold with copper = 1:1/9 = 9:1
Answer is C
Answer: C
Question: What is the greatest positive integer x such that 3^x is a factor of 9^6?
Options:
A)5
B)12
C)10
D)20
E)30
Rationale: What is the greatest positive integer x such that 3^x is a factor of 9^6?
9^6 = (3^2)^6 = 3^12
B. 12
Answer: B
Question: In a certain country, 60 percent of the population likes basketball, and 31 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?
Options:
A)20%
B)33%
C)40%
D)52%
E)67%
Rationale: Correct Answer: (D).
Since this is a percent problem without concrete numbers, we can assign our own. If we assume that there are 100 people in the country, then 60 people like basketball, and 31 people like basketball and golf. We’re looking for people who like both divided by people who like basketball, so 31/60 = 52%, or choice D.
Answer: D
Question: If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 18. By how much do the two digits differ?
Options:
A)2
B)3
C)5
D)6
E)7
Rationale: we are given that if the integer N has its digits reversed the resulting integer differs from the original by 18. First let’s express the reversed number in a similar fashion to the way in which we expressed the original integer.
10B + A = reversed integer
Since we know the resulting integer differs from the original by 18 we can say:
10B + A – (10A + B) = 18
10B + A – 10A – B = 18
9B – 9A = 18
B – A = 2
Since B is the tens digit and A is the units digit, we can say that the digits differ by 2.
The answer is A.
Answer: A
Question: A young and energetic cobbler fixes 3650 pairs of shoes every year, while an old yet experienced cobbler fixes 20% less than the young cobbler. In a shoe factory there are two old and one young cobblers working together. How many shoes can the factory fix every day assuming that there are 365 days a year?
Options:
A)26.
B)34.
C)36.
D)44.
E)48
Rationale: Number of shoes/day the young cobbler fixes= 3650/365= 10
Number of shoes old cobbler fixes= 3650*80/100
Number of shoes 2 old cobbler fixes in one day= 2* 3650 *80/100 *1/365= 16
Total shoes fixed in one day= 10+16= 26
A is the answer
Answer: A
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Options:
A)150 m
B)200 m
C)170 m
D)100 m
E)250 m
Rationale: D
100 m
Relative speed of the thief and policeman = 11 - 10 = 1 km/hr.
Distance covered in 6 minutes = 1/60 * 6 = 1/10 km = 100 m.
Distance between the thief and policeman = 200 - 100 = 100 m
Answer: D
Question: A train of length 250 m crosses a bridge of length 150m in 25 seconds. What is the speed of train?
Options:
A)57.6
B)27
C)25
D)22
E)72
Rationale: Sol : (length of train+ length of bridge) = speed of train x Time
(250+150) = 25 x Speed
Speed = 400/25= 16 m/s =57.6 km/h
ANSWER=A
Answer: A
Question: 30% of a number when subtracted from 91, gives the number itself. Find the number
Options:
A)60
B)65
C)75
D)70
E)NONE
Rationale: Solution: Let the number be x
According to the question,
91 - (30x/100) = x
9100 - 30x = 100x
Or, 9100 = 130x
Or, x = 9100/130
Hence, x = 70.
Answer: Option D
Answer: D
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
Options:
A)11.11 km/hr
B)21.11 km/hr
C)71.11 km/hr
D)81.11 km/hr
E)41.11 km/hr
Rationale: Explanation:
Total time taken = (160/64 + 160/8)hrs
= 9/2 hrs.
Average speed = (320 x 2/9) km.hr
= 71.11 km/hr.
Answer: C
Answer: C
Question: If the average of 10,11,12,13,14,15,16,17,18 and x is 23, what is the value of x?
Options:
A)90
B)89
C)123
D)104
E)110
Rationale: Given (10+11+12+13+14+15+16+17+18+x)/10=23
126+x/10=23
126+x=230
x=230-126
x=104
Answer is D
Answer: D
Question: Mrs. Napier has 67 stickers to give to 9 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
Options:
A)2-5
B)7-4
C)2-6
D)2-3
E)2-8
Rationale: 67/9 = 7 R 4 Mrs. Napier will give each student 7 stickers and there
will be 4 left over.
correct answer B
Answer: B
Question: Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.2,40,000 earned at the end of 3 years from the start of the business in 1999?
Options:
A)Rs.45,000
B)Rs.80,000
C)Rs.70,000
D)Rs.75,000
E)none
Rationale: Solution
Sekar:Rajeev:Jatin=	(25000×12+35000×12+45000×12):(35000×24) : (35000×12)
= 1260000 : 840000 : 420000
= 3 : 2 : 1.
Rajeev's share	=Rs.(240000×2/6)
= Rs.80000.
Answer B
Answer: B
Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 5 times, what is the probability that it will land on either side all 5 times?
Options:
A)1/5
B)1/10
C)1/12
D)1/16
E)1/32
Rationale: Must be either 5 heads or 5 tails
1/2*1/2*1/2*1/2*1/2 + 1/2*1/2*1/2*1/2*1/2
1/32 + 1/32 = 1/16
Answer: D
Answer: D
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Options:
A)30/16 hours
B)30/33 hours
C)38/13 hours
D)40/13 hours
E)30/13 hours
Rationale: Speed downstream = 20 + 6 = 26 kmph.
Time required to cover 60 km downstream = d/s = 60/26 = 30/13 hours.Answer:D
Answer: D
Question: In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 3 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Options:
A)168.
B)80.
C)56.
D)48.
E)16.
Rationale: Bed = Select 1 out of 4 = 4C1 = 4
Shelf = Select 1 out of 2 = 2C1= 2
Chair (3)+ Closet (3) = Total 6 = Select 1 out of 6 = 6C1
Possible combinations to chooseBED*SHELF*(CHAIR+CLOSET)=4*2*6=48 ways
ANSWER IS D
Answer: D
Question: The rate of Interest on a sum of money is 2% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occured on the sum for the total period of 8 years is Rs. 540/-, the sum is
Options:
A)2,200
B)2,000
C)2,100
D)2,250
E)2,560
Rationale: Explanation:
I1 = (P x 3 x 2)/100 = 3P/50
I2 = (P x 4 x 4)/100 = 4P/25
I3 = (P x 1 x 5)/100 = P/20
3P/50 + 4P/25 + P/20 = 540
The L.C.M of 50, 25, 20 = 100
(6P + 16P + 5P)/100 = 540
27P/100 = 540
27P = 54000
P = 54000/27
P = 2000
Answer: Option B
Answer: B
Question: In the Street ,there are 60% of the population lived in the one side at the Beginning of the Year 2000 and the rest lived in the Other side. During the 2000 Year, the population of Street grew by 8%. If the population in the One grew by 4%, by how much did the population grow in the remaining side?
Options:
A)11.1%
B)16%
C)18.5%
D)13.6%
E)14%
Rationale: Ratio of population in City = East:West :: 60%:40% = 3:2
Mean growth = 8%
One side: 4%
Other side = ??
One-------------Average--------------Remaining
4 __(2n)_____8.0%_____(3n)_____??
Since:
4+2n=8
n=2
Therefore:
Other side=8+3n
Other=8+3(2)
That is the population grew in East Side of the town is 14%
Answer: E
Question: If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z?
Options:
A)Y2 = XY
B)Y2 = XX
C)Y2 = XZ
D)Y2 = YZ
E)Y2 = YY
Rationale: X = (Y*NR)/100 Y = (Z*NR)/100
X/Y = NR/100 Y/Z = NR/100
X/Y = Y/Z
Y2 = XZ
Answer: C
Answer: C
Question: The floor of a rectangular room is 21 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
Options:
A)124 m2
B)128 m2
C)138 m2
D)148 m2
E)None of these
Rationale: Area of the outer rectangle = 25 Ã— 16 = 400 m2
Area of the inner rectangle = 21 Ã— 12 = 252 m2
Required area = (400 â€“ 252) = 148 m2
Answer D
Answer: D
Question: A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 3 days.In how many days B alone can do the work?
Options:
A)5days
B)7 days
C)12 days
D)4.5 days
E)10 days
Rationale: Explanation:
A’s 5 day work = 5*1/15=1/3
Remaining work = 1-1/3=2/3
B completes 2/3 work in 6 days
B alone can do in x days
2/3*x=3
X=4.5 days
Answer: Option D
Answer: D
Question: How many different five letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
Options:
A)59
B)11!/(2!*2!*2!)
C)56
D)23
E)11!/(3!*2!*2!*2!)
Rationale: E- -R
We are left with the following 11 letters: {M, D, I, T, R, EE, AA, NN} out of which 8 are distinct: {M, D, I, T, R, E, A, N}.
We should consider two cases:
1. If the two middle letters are the same, we'd have 3 words: EEER, EAAR and ENNR.
2. If the two middle letters are distinct, then we are basically choosing 2 letters out of 8 when the order of the selection matters, so it's 8P2 = 56.
Total = 56 + 3 = 56
Answer: C..
Answer: C
Question: what is the least number by which 25,725 must be divided to get a number perfect square
Options:
A)21
B)42
C)24
D)40
E)45
Rationale: 25,725/21=1,225
1,225=(35)^2
Ans-21
ANSWER:A
Answer: A
Question: During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 6 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?
Options:
A)80%
B)100%
C)109%
D)120%
E)140%
Rationale: Kim purchased 20 gallons of gas. She paid for 6 + 0.9*14 = 18.6 gallons, so the overall discount she got was 1.4/20 = 7%.
Isabella purchased 25 gallons of gas. She paid for 6 + 0.9*19 = 23.1 gallons, so the overall discount she got was 1.9/25 = 7.6%.
7.6 is 7.6/7*100 = 109% of 7.
Answer: C.
Answer: C
Question: 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 4 such machines to perform the same job?
Options:
A)2.25 hours
B)8.75 hours
C)12 hours
D)14.25 hours
E)16 hours
Rationale: Let each machine do 1 unit of work for 1 hour
8 machines --> 8 units of work in 1 hour
For 6 hours = 8*6 = 48 Units of total work is done.
Now this 48 Units of total work must be done by 4 machines
4 units of work(4 machines) ---> 1 hour
for 48 Units of work
4*12 ---> 1*12 hours
C 12 hours
Answer: C
Question: In digging a pond 30m*20m*10m the volumes of soil extracted will be ?
Options:
A)6500 cu.m
B)5000 cu.m
C)6000 cu.m
D)5200 cu.m
E)7000 cu.m
Rationale: 30*20*10= 6000Answer :C
Answer: C
Question: How many terms are in the G.P. 3, 6, 12, 24, ......., 192 ?
Options:
A)8
B)9
C)67
D)7
E)2
Rationale: Explanation:
Here a = 3 and r = 6/3 = 2. Let the number of terms be n.
Then, t = 192 => a * r^(n-1) = 192
=> 3 * 2^(n-1) = 192 => 2^(n-1) = 64 = 2^(6)
=> n-1 = 6 => n = 7.
Answer: D
Answer: D
Question: (112 x 5^4) = ?
Options:
A)70000
B)80000
C)90000
D)90090
E)100000
Rationale: (112 x 54) = 112 x 10 4	=	112 x 104	=	1120000	= 70000
2	24	16
A)
Answer: A
Question: Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for 85 cents, and Zachary buys a pencil and an eraser for 45 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discount.)
Options:
A)300
B)315
C)330
D)345
E)360
Rationale: pencil + notebook = 80
notebook + eraser = 85
pencil + eraser = 45
Let's add all three equations.
2 pencils + 2 notebooks + 2 erasers = 210 cents
The cost to buy 3 of each would be (3/2)(210) = 315
The answer is B.
Answer: B
Question: A speed of 55 metres per second is the same as :
Options:
A)150.4 km/hr
B)155 km/hr
C)198 km/hr
D)168.5 km/hr
E)None
Rationale: Sol.
55 m/sec = [55 * 18/5] km/hr = 198 km/hr.
Answer C
Answer: C
Question: An investor receives a total combined return of 7% on his two different investments. On his $30,000 investment he receives a return of 6%. What is the return on his $20,000 investment?
Options:
A)7.25%
B)7.5%
C)8%
D)8.5%
E)9%
Rationale: 0.06 * 30000 + 20000x = 0.07(50000)
solving for x give x = 8.5%
option D
Answer: D
Question: A person purchased a TV set for Rs. 2100 and a DVD player for Rs. 300. He sold both the items together for Rs. 3168. What percentage of profit did he make?
Options:
A)32%
B)96%
C)40%
D)75%
E)23%
Rationale: The total CP = Rs. 2100 + Rs. 300
= Rs. 2400 and SP = Rs. 3168
Profit(%)
= (3168 - 2400)/2400 * 100
= 32%
Answer: A
Answer: A
Question: If A's height is 35% less than that of B, how much percent B's height is more than that of A?
Options:
A)66.66%
B)66.68%
C)53.84%
D)86.66%
E)66.65%
Rationale: Excess of B's height over A's = [(35/(100 - 35)] x 100%
= 53.84%
Answer: C)
Answer: C
Question: The sum of four consecutive even numbers is 292. What would be the largest number?
Options:
A)33
B)88
C)76
D)123
E)12
Rationale: Let the four consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1)
Their sum = 8x - 4 = 292 => x = 37
Smallest number is: 2(x +1) = 76.
Answer: C
Answer: C