divelab/Sys2Bench huggingface dataset:
Question: If the number 98348*0 is exactly divisible by 72, then the minimum value of * is?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: 72=8*9
divisibility 0f 8 last 3place should be divisible by 8
lly divisibility of 9 sum of digit should be divisible by 9
840 divisible by 8 nd 36 divisible by 9
ANSWER:D
Answer: D
Question: In a certain series, each term is m greater than the previous term. If the 14th term is 600 and the 11th term is 540, what is the first term?
Options:
A)40
B)80
C)140
D)200
E)240
Rationale: a + 13m = 660 (14th term)
a + 10m = 540 (11th term)
You get a = 140 and m = 40
Answer: C
Answer: C
Question: A man can row a boat at 30 kmph in still water. If the speed of the stream is 8 kmph, what is the time taken to row a distance of 70 km upstream?
Options:
A)35/9
B)35/10
C)35/11
D)35/12
E)35/13
Rationale: Speed upstream = 30-8=22 kmph.
Time required to cover 60 km downstream = d/s = 70/22 = 35/11 hours. Answer:C
Answer: C
Question: The decimal 0.1 is how many times greater than the decimal (0.001)^4?
Options:
A)10^8
B)10^9
C)10^10
D)10^11
E)10^12
Rationale: 0.1 = 10^-1
(0.001)^4 = (10^-3)^4 = 10^-12
10^11 * 10^-12 = 10^-1
The answer is D.
Answer: D
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 18000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
Options:
A)23
B)19
C)42
D)20
E)21
Rationale: Let the total number of workers be x. Then,
8000x = (18000 * 7) + 6000(x - 7)
= 2000x = 84000
= x = 42.
ANSWER:C
Answer: C
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:?
Options:
A)56 km/hr
B)50 km/hr
C)59 km/hr
D)34 km/hr
E)67 km/hr
Rationale: Speed of the train relative to man
= (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed
= (x - 5) km/hr. x - 5 = 45 ==> x = 50 km/hr.
Answer: B
Answer: B
Question: What number has a 5:1 ratio to the number 12?
Options:
A)22
B)50
C)88
D)52
E)60
Rationale: 5:1 = x: 12
x = 60
Answer: E
Answer: E
Question: A father was as old as his son's present at the time of your birth. If the father's age is 40 years now, the son's age 5years back was?
Options:
A)10 years
B)12 years
C)14 years
D)16 years
E)15 years
Rationale: Let the son's present age be x years. Then, (40 - x) = x
2x = 40.
x = 20.
Son's age 5 years back (20 - 5) = 15 years.
E
Answer: E
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Options:
A)3.9
B)4.2
C)5.3
D)1.5
E)5.2
Rationale: M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + x = 9 -2x
3x = 4.5
x = 1.5
Answer:D
Answer: D
Question: Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number?
Options:
A)3
B)5
C)6
D)7
E)9
Rationale: Let the number be x.
Then, x + 17 = 60
x
x2 + 17x - 60 = 0
(x + 20)(x - 3) = 0
x = 3
Option A
Answer: A
Question: At a supermarket, a variety of cookies was priced at 75 cents per 100 grams. Subsequently, the price was revised to 40 cents for 30 grams of the same cookies. By approximately what percent did the ratio of price to weight increase from the initial price of 75 cents per pound?
Options:
A)65
B)78
C)44
D)18
E)36
Rationale: Initial price/weight ratio = 75 / 100 = 225/300
Revised price/weight ratio = 40 / 30 = 400/300
Answer: B
Answer: B
Question: In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 20 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?
Options:
A) 0.06N+3200
B) 0.1N+7200
C) 0.4N+7200
D) 0.12N+8000
E) 0.06N+8000
Rationale: 40% of N are independent voters, hence 60% of N are not independent voters. From this group she received 20% votes so, 0.2*0.6*N plus 8,000 votes from independents: total=0.2*0.6*N+8,000=0.12*N+8,000.
Answer: D.
Answer: D
Question: A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Options:
A)145
B)253
C)253
D)352
E)None
Rationale: EXPLANATION
Let the middle digit be x.
Then, 2x = 10 or x = 5. So, the number is either 253 or 352.
Since the number increases on reversing the digits, so the hundred’s digits is smaller than the unit’s digit.
Hence, required number = 253.
Answer B
Answer: B
Question: If each of 3 digit code is formed of integers from 1 to 40, inclusively, and each of the digits are different, how many possible codes are there?
Options:
A)54230
B)59365
C)59280
D)25789
E)57690
Rationale: Code consists of 3 digits and no digit is repeated.
First digit of the code can have 40 possibilities
Second digit can have 39 possibilities
Third digit can have 38 possibilities
Total number of possible codes = 40*39*38 = 59280
Answer: C
Answer: C
Question: Find the odd man out. 121, 144, 169, 196, 225, 256, 288, 324, 361
Options:
A)121
B)169
C)225
D)288
E)361
Rationale: Explanation :
Each of the given numbers except 288 is a perfect square
Answer : Option D
Answer: D
Question: If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 12?
Options:
A)1/48
B)234/8
C)1/24
D)5/8
E)3/4
Rationale: I get 5/8 as well
1 to 96 inclusive means we have 48 odd and 48 even integers
E O E / 12 = Integer, therefore we have 48 / 96 numbers divisible by 8
O E O / 12= Not Integer
We cannot forget multiples of 12 from 1 to 96
We have 8 numbers that are multiple of 12
Therefore, 48/96 + 8/96 = 23/48
answer : B
Answer: B
Question: The Diagonals of two squares are in the ratio of 2:5. find the ratio of their areas.
Options:
A)4:25
B)4:15
C)3:25
D)3:15
E)None of these
Rationale: Explanation:
Let the diagonals of the squares be 2x and 5x.
Then ratio of their areas will be
Area of square=1/2∗Diagonal2
1/2∗2x2:1/2∗5x2
4x2:25x2=4:25
Option A
Answer: A
Question: A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 20 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
Options:
A) $198
B) $216
C) $192
D) $230
E) $240
Rationale: Wholesale cost of video recorder = 200 $
Video recorder was priced at 20 percent above 200 = 240 $
% discount given by store employee = 20
Emlpoyee paid = .8 * 240 = 192 $
Answer C
Answer: C
Question: What positive number, when squared, is equal to the cube of the positive square root of 18?
Options:
A)64
B)32
C)8
D)4
E)9
Rationale: Let the positive number be x
x^2 = ((18)^(1/2))^3
=>x^2 = 4^3 = 81
=> x = 9
Answer E
Answer: E
Question: A book club rented the party room of a local restaurant to meet and discuss its current novel over dinner. The total charge, including food and service, was $ 790. If each member of the club paid at least $ 32, then what is the greatest possible number of members in the club?
Options:
A)19
B)20
C)21
D)23
E)25
Rationale: Given: Each person spends $32.
By looking at the options, we see that if there were 20 members, each person will spend atleast $32
Hence the greatest number of members = 25Option E
Answer: E
Question: A train running at a speed of 60 kmph crosses a pole in 3 seconds.What is the length of the train?
Options:
A)120 m
B)180 m
C)190 m
D)150 m
E)50 m
Rationale: 60 kmph=50/3 m/sec
50/3*3=50 m
ANSWER:E
Answer: E
Question: Robert ate 9 chocolates, Nickel ate 2 chocolates. How many more chocolates did Robert ate than nickel?
Options:
A)A)4
B)B)7
C)C)9
D)D)5
E)E)2
Rationale: 9-2=7. Answer is B
Answer: B
Question: 244,180,131,95, ?
Options:
A)42
B)43
C)44
D)70
E)39
Rationale: 244 - 180 = 64 = 8^2
180 - 131 = 49 = 7^2
131 - 95 = 36 = 6^2
so we can write
95 - x = 25 = 5^2 , where x is the next number
x = 95 - 25 = 70
so the next number will be 70
ANSWER:D
Answer: D
Question: Virat buys an old car for Rs. 50000 and spends Rs. 1000 on its repairs. If he sells the scooter for Rs. 60000, his gain percent is:
Options:
A)3 (4/7) %
B)11 (1/9) %
C)12 (2/3) %
D)12%
E)17.64%
Rationale: Explanation:
C.P. = Rs. (50000 + 1000) = Rs. 51000
S.P. = Rs. 60000.
Gain% = ( (9000 / 51000) * 100 ) % = 17.64%
ANSWER E
Answer: E
Question: Find the angle between the hour hand and the minute hand of a clock when the time is 3.25
Options:
A)47.5
B)47.9
C)47.6
D)47.2
E)47.1
Rationale: Explanation:
At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins.
Simultaneously the Hour hand will also rotate for 25 mins. Thus starting from the mark, 3 the hour hand will cover an angle = (25 x 30) / 60 = 12.5°
Hence, Angle between Hour and the Minute hand = ( 60 - 12.5 ) = 47.5°
Answer: A) 47.5 degrees
Answer: A
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
Options:
A)2882
B)778
C)268
D)3000
E)2882
Rationale: A:B:C = 5:6:4
Let the total profit = 100 - 30 = 70
5/15 * 70 = 70/3
A share = 70/3 + 30 = 160/3
B + C share = 100 - 160/3 = 140/3
A-(B+C) = 160/3 - 140/3 = 20/3
20/3 ---- 200
100 ---- ? => 3000.Answer: D
Answer: D
Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Options:
A)9400
B)9600
C)9800
D)9000
E)9200
Rationale: Greatest number of 4-digits is 9999.
L.C.M. of 15, 25, 40 and 75 is 600.
On dividing 9999 by 600, the remainder is 399.
Required number (9999 - 399) = 9600.
answer :B
Answer: B
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
A. 15 B. 18
Options:
A)22
B)18
C)99
D)77
E)24
Rationale: A:B = 2:3
B:C = 2:5
A:B:C = 4:6:15
6/25 * 75 = 18
Answer: B
Answer: B
Question: Two trains 140 m and 200 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Options:
A)17.9 sec
B)11.8 sec
C)27.7 sec
D)10.8 sec
E)12.24 sec
Rationale: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 200 = 340 m.
Required time = 340 * 9/250 = 12.24 sec.
Answer: E
Answer: E
Question: If the sides of a rectangle are increased by 15%, what is the percentage increase in the area?
Options:
A)32.25%
B)40%
C)37.50%
D)36.75%
E)32%
Rationale: Say both sides of the rectangle are equal to 100 (so consider that we have a square). In this case the area is 100*100=10,000.
The area of new rectangle would be 115*115=13,225, which is 32.25% greater than the old area.
Answer: A.
Answer: A
Question: All numbers from 1 to 200 (in decimal system) are written in base 6 and base 7 systems. How many of the numbers will have a non-zero units digit in both base 6 and base 7 notations?
Options:
A)143
B)200
C)157
D)122
E)132
Rationale: DETAILED SOLUTION
If a number written in base 6 ends with a zero, it should be a multiple of 6. In other words, the question wants us to find all numbers from 1 to 200 that are not multiples of 6 or 7. There are 33 multiples of 6 less than 201. There are 28 multiples of 7 less than 201. There are 4 multiples of 6 & 7 (or multiple of 42) from 1 to 200.
So, total multiples of 6 or 7 less than 201 = 33 + 28 - 4 = 57. Number of numbers with non-zero units digit = 200 - 57 = 143.
Correct Answer : A
Answer: A
Question: If |10−2y|=|3y+5|, which of the following could be a value of y?
Options:
A)-15
B)9/5
C)-1
D)5
E)2/3
Rationale: 10 - 2y = 3y + 5 or 10 - 2y = -3y - 5
5y = 5 or -y = 15
y = 1 or x = -15
Answer: A
Answer: A
Question: Find three rational numbers between 3 and 5.
Options:
A)6/2
B)7/2, 8/2
C)8/2
D)7/2, 9/2
E)10/2
Rationale: Sol. 1st rational number = (3 + 5)/2 = 8/2 = 4
2nd rational number (i.e., between 3 and 4)
= (3 + 4)/2 = 7/2
3rd rational number (i.e., between 4 and 5)
= (4 + 5)/2 = 9/2
Answer D
Answer: D
Question: 10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range T of the 10 numbers?
Options:
A)25
B)27
C)30
D)52
E)55
Rationale: Positions: 1 2 3 4 5 6 7 8 9 10
Given: 1st position = x; 4th position = a; 7th position = y; 10th position = b
y - x = 25
Let x be 0 and y = 25. We are asked to maximize the range and the integers are distinct.
b - a = 30 --> b = 30 + a
In order to increase the range, we have to maximize the value of 'b'.
'b' can be maximized by taking the max value of 'a'.
From the assumed values, maximum value of 'a' can be 22.
Therefore, b = 30 + 22 = 52
Range T= 52 - 0 = 52
Answer: D
Answer: D
Question: The operation is defined for all integers a and b by the equation ab = (a - 1)(b - 1). If y12 = 110, what is the value of y ?
Options:
A)11
B)12
C)13
D)15
E)18
Rationale: ab = (a - 1)(b - 1)
y12 = (y-1)(12-1) =110 --> y-1=10 --> y=11
Answer: A
Answer: A
Question: In an office one half of the employees are in account section,quarter are in printing section,one-fifth are stock section and the other 50 are supervisors. How many employees total are there in the office?
Options:
A)250
B)366
C)400
D)500
E)1000
Rationale: 1/2x + 1/4x +1/5x = 19/20x
Remaining 1/20 x= 50
x= 50*20= 1000
E is the answer.
Answer: E
Question: A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am pump A is started. At what time will the swimming pool be filled if pump B is started at 10 am?
Options:
A)11:20
B)11:30
C)11:40
D)11:50
E)11:60
Rationale: the rates of the two pumps are
pump A: 1 / 3 , pump B: 1 / 6
Working together, If pump A works for t hours then pump B works t - 1 hours since it started 1 hour late. Hence
t * (1 / 3) + (t - 1) * (1 / 6) = 1
Solve for t
t = 7 / 3 hours = 2.3 hours = 2 hours 20 minutes.
The swimming pool will be filled at
9 + 2:20 = 11:20
Answer A
Answer: A
Question: If a coin is tossed three times, what is the probability that on the first toss the coin lands on tails, on the second toss the coin lands on heads, and then lands on tails on the last toss?
Options:
A)1/8
B)1/3
C)1/4
D)1/2
E)1
Rationale: P(THT) = 1/2*1/2*1/2=1/8
The answer is A.
Answer: A
Question: Jaya ranks 5th in a class of 53. What is her rank from the bottom in the class?
Options:
A)49th
B)48th
C)47th
D)50th
E)None of these
Rationale: There are 4 students above her.
When takan from bottom there are 4 students below her rank .
So her rank wud be 53-4 i.e. 49th.
ANSWER:A
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Options:
A)49%
B)30%
C)40%
D)44%
E)41%
Rationale: The total CP = Rs. 16000 + Rs. 6250
= Rs. 22250 and SP
= Rs. 31150
Profit(%) = (31150 - 22250)/22250 * 100
= 40%
Answer: C
Answer: C
Question: A train of 45 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Options:
A)6
B)3
C)4.2
D)9
E)4
Rationale: D = 45 * 60 + 1500 = 4200 m
T = 4200/60 * 18/5 = 252 sec = 4.2 mins
Answer:C
Answer: C
Question: Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 42, find the ages of Toby and Debby?
Options:
A)6 and 14
B)5 and 9
C)8 and 10
D)5 and 10
E)8 and 16
Rationale: Let the age of Debby be x and Toby be x-4
3 ( x + x-4 ) = 42
x = 9
The ages of Toby and Debby are 5 and 9.
Answer : B
Answer: B
Question: what is the cost price of an article sold at rs.199 after two successive discount of 10% and 15%?
Options:
A)220
B)230
C)240
D)250
E)260
Rationale: cost price=199*100/90*100/85
=260
ANSWER:E
Answer: E
Question: In what ratio should a variety of Rice costing Rs. 10 per kg be mixed with another variety of Rice costing Rs. 13.25 per kg to obtain a mixture costing Rs. 10.75 per kg?
Options:
A)2 :1
B)1 :2
C)5 :1
D)4 :1
E)3:1
Rationale: Let us say the ratio of the quantities of cheaper and dearer varieties = x : y
By the rule of allegation, x/y = (13.25 - 10.75) / (10.75 - 10) = 6/3=2/1
ANSWER:A
Answer: A
Question: How many different ways can you select a pilot and a co pilot if you have 30 people to choose from?
Options:
A) 870
B) 920
C) 1398
D) 4950
E) 9900
Rationale: You are not just choosing two from 30. Each of the two people chosen fills a particular slot. The first filling the pilot slot and the second filling the copilot slot is different from the first filling the copilot slot and the second filling the pilot slot.
So the answer is in a sense (30C2) x 2 = 870.
Ans A
Answer: A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Options:
A)100 m
B)200 m
C)300 m
D)400 m
E)500 m
Rationale: perimeter of rectangle=2(l+b)
2(l + 100) = 600
=> l = 200 m
ANSWER:B
Answer: B
Question: The distance from Steve's house to work is 40 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work?
Options:
A)5.
B)10.
C)14.
D)15.
E)20.
Rationale: Time is in the ratio 2:1 :: to: fro office
Therefore, 2x+1x=6 hrs
Time take to come back - 2 hrs, distance travelled - 40km => Speed = 20kmph
E
Answer: E
Question: Find the simple interest on $2000 for 3 years at 10% per annum?
Options:
A)$250
B)$300
C)$500
D)$600
E)$1000
Rationale: SI = PTR/100
= 2000*3*10/100 = $600
Answer is D
Answer: D
Question: If n is the product of the integers from 1 to 11, inclusive, how many different prime factors greater than 1 does n have?
Options:
A)Four
B)Five
C)Six
D)Seven
E)Eight
Rationale: n = 1*2*3*4*5*6*7*8*9*10*11
The prime factors of n are 2, 3, 5, 7, and 11.
There are 5 prime factors.
The answer is B.
Answer: B
Question: A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is the probability W that you can still row the canoe?
Options:
A)9/25
B)10/25
C)6/10
D)2/3
E)21/25
Rationale: Simply look at the question from the other side. What is the probability that you can’t row the canoe? This would be 2/5 x 2/5 = 4/25.
Using the idea that the probability of something happening is 1 – the probability that it doesn’t happen, you can use the following equation to reach the right answer W: 1 – 4/25 = 21/25.Answer choice E.
Answer: E
Question: A train covers a certain distance at a speed of 250kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
Options:
A)400km/hr
B)500km/hr
C)600km/hr
D)700km/hr
E)800km/hr
Rationale: Explanation:
Distance = 250×4 = 1000km
Required speed = (1000/2) = 500km/hr
Answer: Option B
Answer: B
Question: Which of the following is a prime number
Options:
A)9
B)2
C)4
D)8
E)9
Rationale: Explanation:
A prime number is a natural number greater than 1 which has no positive divisors other than 1 or itself.
So from above options 2 is that number
Answer: Option B
Answer: B
Question: A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:2:2, respectively, but he wanted to make more money, so he shifted the ratio to 2:2:5, respectively. How many more acres of land were planted with tobacco under the new system?
Options:
A)90
B)150
C)270
D)300
E)450
Rationale: Originally (2/9)*1350 = 300 acres were planted with tobacco.
In the new system (5/9)*1350 = 750 acres were planted with tobacco.
Thus 750-300 = 450 more acres were planted with tobacco.
The answer is E.
Answer: E
Question: At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 40 other employees of Company K, how many employees does Company K have?
Options:
A) 160
B) 180
C) 190
D) 200
E) 400
Rationale: Let the total number of employees in the company be x
% of secretaries = 15%
% of salespeople = 60%
% of of employees other than secretaries and salespeople = 100 - 75 = 25%
But this number is given as 40
so 25% of x = 40
x = 160
Therefore there a total of 160 employees in the company K
Correct answer - A
Answer: A
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
Options:
A)27
B)28
C)200
D)277
E)267
Rationale: d2/2 = (20 * 20)/2
= 200
Answer:C
Answer: C
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
A)17 1/6
B)17 1/3
C)17 1/7
D)17 1/2
E)17 1/1
Rationale: 1/20 + 1/30 - 1/40
= 7/120
120/7
= 17 1/7
Answer: C
Answer: C
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
Options:
A)1/7
B)2/5
C)1/5
D)1/3
E)3/5
Rationale: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability
= 1/5
Answer:C
Answer: C
Question: The average salary of all the workers in a workshop is Rs. 10000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 8000. The total number of workers in the workshop is :
Options:
A)14
B)21
C)88
D)37
E)29
Rationale: Explanation:
Lot the total number of workers be v Then,
10000v = (12000 * 7) + 8000 (v - 7) <=> 2000v = 28000 <=> v = 14
Answer: A) 14
Answer: A
Question: Pipe A and pipe B fill water into a tank of capacity 1000 litres, at a rate of 200 l/min and 50 l/min. Pipe C drains at a rate of 25 l/min. Pipe A is open for 1 min and closed, then pipe B is open for 2 min and closed. Further the pipe c is opened and drained for another 2 min. This process is repeated until the tank is filled. How long will it take to fill the tank?
Options:
A)15
B)17
C)18
D)56
E)20
Rationale: tank capacity: 1000 L,
1st- 200 l/min for 1 min, volume filled: 200 L
2nd- 100 l/min for 2 min, volume filled: 100 L
3rd (water draining) : 25 l/min*2 : 50 L
total : (200+100)-50 =250 L filled for 1 cycle
number of 250 in 1000 L tank :1000/250 = 4
time taken to fill: 4* total time= 4*5 = 20 (option E)
Answer: E
Question: The sum of money at compound interest amounts to thrice itself in 5 years. In how many years will it be 21 times itself?
Options:
A)18 years
B)9 years
C)12 years
D)16 years
E)30 years
Rationale: 100 ---- 300 --- 5
900 --- 5
1200---5
1500----5
1800---5
2100---5
6 years
Answer: E
Answer: E
Question: A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?
Options:
A)13
B)25
C)17
D)12
E)11
Rationale: 11 cartons total
7 large boxes (7 * 8 = 56 boxes)
4 small boxes (4 *10 = 40 boxes
11 total cartons and 96 boxes
Answer: E
Question: What is the least possible product of 4 different integers, each of which has a value between –2 and 10, inclusive?
Options:
A)–5040
B)–3600
C)–720
D)–1440
E)–120
Rationale: Maximize the total product with a -ve sign
so -2 * 10 * 9 * 8 = 720 * -2 = -1440
Answer is D.
Answer: D
Question: How many odd prime numbers are there less than 75?
Options:
A)20
B)1
C)2
D)16
E)17
Rationale: Odd prime number less than 75:3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73
There is 20 the odd prime number
Answer is A
Answer: A