divelab/Sys2Bench huggingface dataset:
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
Options:
A)7/14
B)7/15
C)7
D)8/15
E)8
Rationale: A's 1 day's work = 1/15
B's 1 day's work = 1 /20
(A + B)'s 1 day's work = ( 1/15 + 1/20 ) = 7 /60
(A + B)'s 4 day's work = (4*7)/60 = 7/15
Therefore, Remaining work = ( 1 - 7/15) = 8/15
So correct answer is D
Answer: D
Question: In an old fort, If 15 spiders make 15 webs in 15 days, then 1 spider will make 1 web in how many days?
Options:
A)1
B)15/2
C)15
D)225
E)None of these
Rationale: Explanation :
Solution: Let the required number of days be x.. Then,
Less spiders, more days (IP)
Less webs, less days (DP)
.'. Spiders 1 : 15
} : : 15 : x
webs 15 : 1
.'. 1*15*x = 15*1*15 <=> x = 15.
Answer : C
Answer: C
Question: What will be the cost of building a fence around a square plot with area equal to 144 sq ft, if the price per foot of building the fence is Rs. 58?
Options:
A)2784
B)2287
C)2977
D)2668
E)1298
Rationale: Let the side of the square plot be a ft.
a2 = 144=> a = 12
Length of the fence = Perimeter of the plot = 4a = 48 ft.
Cost of building the fence = 48 * 58 = Rs. 2784.
Answer:A
Answer: A
Question: The ratio of two quantities is 5 to 9. If each of the quantities is increased by 7, what is the ratio of these two new quantities?
Options:
A)14/15
B)It cannot be determined from the information given.
C)15/19
D)21/22
E)11/12
Rationale: let the actual ratio be 5k/9k, increase numerator and denominator by 7=> 5k+7/9k+7
Until the value of k is unknown we can not determine the actual ratio.
OR
let the actual be 3/4. After increasing 7 => 10/11
let the actual be 6/8. After increasing 7 => 13/15
Therefore without actual quantities we cannot determine the actual ratio.
Answer : B
Answer: B
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.272 less than the sum lent. What was the sum lent?
Options:
A)400
B)278
C)289
D)500
E)821
Rationale: P - 272 = (P*4*8)/100
P = 400
Answer: A
Answer: A
Question: The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
Options:
A)298
B)28
C)26
D)99
E)21
Rationale: Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.
P + Q = 10 ----- (1)
(10Q + P) - (10P + Q) = 54
9(Q - P) = 54
(Q - P) = 6 ----- (2)
Solve (1) and (2) P = 2 and Q = 8
The required number is = 28,.Answer:B
Answer: B
Question: A man can row a boat at 28 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)30/83 hours
B)80/13 hours
C)30/17 hours
D)30/19 hours
E)32/13 hours
Rationale: Speed downstream = 28 + 6 = 34 kmph.
Time required to cover 60 km downstream
= d/s = 60/34
= 30/17 hours.
Answer:C
Answer: C
Question: The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
Options:
A)125
B)298
C)267
D)260
E)182
Rationale: Sum of the 35 numbers = 35 * 25
= 875
If each number is multiplied by 5, the sum also gets multiplied by 5 and the average also gets multiplied by 5.
Thus, the new average = 25 * 5
= 125.
Answer:A
Answer: A
Question: In what time a sum of money double itself at 3% per annum simple interest?
Options:
A)33 1/9%
B)33 1/3%
C)33 7/3%
D)33 2/3%
E)33 8/3%
Rationale: P = (P*3*R)/100
R = 33 1/3%
Answer: B
Answer: B
Question: 76.8% of my office colleges are non-vegetarian.
What's the least number of person working in my office to hold above statement true.
Options:
A)110 people
B)126 people
C)120 people
D)122 people
E)130 people
Rationale: B
126 people
125 people + Me
96/125 = 76.8
Answer: B
Question: how many such letters pairs are in word BONAFIDE having same no. of letters left between them in the word as they have in the series
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: Arranging BONAFIDE in order : ABDEFINO
Pairs are:-
1. AB
2. DE
3. DEF
4. EF
5. NO
So total of 5 pairs will be there.
ANSWER:C
Answer: C
Question: Two pipes can fill a tank in 10 hours & 12 hours respectively. While 3rd pipe empties the full tank n 20 hours. If all the three pipes operate simultaneously,in how much time will the tank be filled?
Options:
A)6 hrs 43 min
B)2 hrs 25 min
C)7 hrs 30 min
D)6 hrs 32 min
E)7 hrs 10 min
Rationale: tank filled in 1 hr = 1/10 + 1/12 - 1/20 = 8/60 = 2/15 part
so full tank is filled in 15/2 hrs = 7 hr 30 min..
ANSWER:C
Answer: C
Question: After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Options:
A)38 liters
B)40 liters
C)38.5 liters
D)2 liters
E)4 liters
Rationale: 95% ----------- 38
5% ------------ ? => 2 liters
ANSWER:D
Answer: D
Question: Eggs are sold in packages of six or ten only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?
Options:
A)6.
B)2.
C)3.
D)5.
E)7.
Rationale: No strategy involved. Simple question demanding fast calculation.
10x7 = 70 =>
Ans E.
Good luck
Answer: E
Question: A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 45.00?
Options:
A)$ 10.00
B)$ 11.20
C)$ 14.40
D)$ 25.20
E)$ 18.00
Rationale: For retail price = $45
First maximum discounted price = 45 - 30% of 45 = 45-13.5 =31.5
Price after additional discount of 20% = 31.5 - 20% of 31.5 = 31.5 - 6.3 = 25.2
Answer: Option D
Answer: D
Question: The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?
Options:
A)3 minutes
B)0.04 hours
C)2 minutes
D)2.4 minutes
E)2 minutes 40 seconds
Rationale: Explanatory Answer
Step 1: Compute the length of the diagonal of the square
Let 'a' meters be the length of a side of the square field.
Therefore, its area = a2 square meters. --- (1)
The length of the diagonal 'd' of a square whose side is 'a' meters = √2 a --- (2)
From (1) and (2), we can deduce that the square of the diagonal = d2 = 2a2 = 2(area of the square)
Or d = √2 * area meters.
d =√2∗24200=48400 = 220 m.
Step 2: Compute the time taken to cross the field
The time taken to cross a distance of 220 meters while traveling at 6.6 kmph = 220 m/6.6 kmph
Convert unit of speed from kmph to m/min
1 km = 1000 meters and 1 hour = 60 minutes. So, 6.6 kmph = 6.6∗1000/60 m/min = 110 m/min
∴ time taken = 220/110= 2 minutes
Choice C
Answer: C
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Options:
A)8 days
B)6 days
C)7 days
D)9 days
E)1 days
Rationale: 1 women's 1 day work = 1/70
1 child's 1 day work = 1/140
(5 women + 10 children)'s 1 day work
= (5/10 + 10/140) = (1/14 + 1/14) = 1/7
5 women and 10 children will complete the work in 7 days.
Answer: C
Answer: C
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.1300, what is the reduced price for kg?
Options:
A)s.40
B)s.65
C)s.49
D)s.41
E)s.42
Rationale: 1300*(25/100) = 325 ---- 5
? ---- 1
=> Rs.65
Answer: B
Answer: B
Question: If 20 typists can type 46 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
Options:
A)63
B)72
C)144
D)216
E)207
Rationale: 20 typists can type 46 letters, so 30 typists can type = 46*30/20
46*30/20 letters can be typed in 20 mins. In 60 mins typist can type= 46*30*60/20*20= 207
E is the answer
Answer: E
Question: If (A-B-C+D = 18) and (A+B-C-D = 6), what is the value of (B-D)^2?
Options:
A)4.
B)8.
C)12.
D)16.
E)36.
Rationale: EQ1: A - B - C + D = 18
EQ2: A + B - C - D = 6
(1) Subtract EQ1 from EQ2
A - B - C + D = 18
- A +B - C - D = 6
------------------------
-2B + 2D = 12
(2) Simplify
-B + D = 6
B - D = -6
(B-D)^2 = (-6)^2 = 36
My answer: E
Answer: E
Question: If n is a prime number and n ≠ 3, which of the following could be the remainder when 100! + n is divided by 3?
I. 2
II. 1
III. -3
Options:
A)II only
B)III only
C)I and II only
D)II and III only
E)I, II and III
Rationale: Notice that we are told that n is a prime number and n ≠ 3. Thus, n cannot be 1.
n also cannot be 6 or any other multiple of 3, thus the remainder cannot be 0.
It can be 1 for n=2 and 2 for n=5.
Answer: C.
Answer: C
Question: How many repeat sequence of three consecutive numbers are there in the given sequence?
6 9 6 2 4 2 9 6 2 9 2 6 9 4 9 6 2 6 9 2 4
Options:
A)3
B)2
C)1
D)4
E)5
Rationale: 962 repeated 3times
ANSWER:A
Answer: A
Question: List I: 3, 6, 12, 19
List II: x, 3, 6, 8, 19
Options:
A) 6
B) 7
C) 8
D) 9
E) 10
Rationale: We start by calculating the median of the numbers of list I: 3, 6, 12, 19. We see that the numbers in the list are in order already and, since we have an even number of numbers, the median is the average of the two middle numbers.
median = (6 + 12)/2
median = 18/2
median =9
The median of list I is 9.
Looking at list II: x, 3, 6,12, 19, we see that we have an odd number of terms. Thus, when the list is ordered from least to greatest the median must be the middle term. Since the medians of the two lists must be equal, we know that the median of list II must be 9 and therefore x is 9.
The answer is D.
Answer: D
Question: Each shelf of a bookcase contained 11 books. If the librarian took out 31 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 4 books, how many shelves does the bookcase have?
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: Let x be the number of shelves.
11x - 31 = 7(x-1) + 4
4x = 28
x = 7
The answer is C.
Answer: C
Question: 1804 x 1804 = ?
Options:
A)A)3254416
B)B)3624216
C)C)3624316
D)D)3625116
E)E)3625216
Rationale: 1804 x 1804 = (1804)2
= (1800 + 4)2
= (1800)2 + (4)2 + (2 x 1800 x 4)
= 3240000 + 16 + 14400.
= 3254416.
A)
Answer: A
Question: Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
Options:
A)27
B)29
C)30
D)31
E)33
Rationale: Let $let n$ be the smaller and 71 - n be the larger number. Now, since the larger number exceeds the smaller number by 7, we can form the equation
larger number – smaller number = 7
which is equivalent to
Simplifying, we have 71 - 2n = 7. This gives us 2n = 78 which implies that the larger number is . The smaller is 71-39=31.
D
Answer: D
Question: The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 8 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?
Options:
A)20 km
B)30 km
C)40 km
D)50 km
E)60 km
Rationale: Number of stops in an hour: 60/5 = 12
Distance between stops: 60/12 = 5 km
Distance between Yahya's house and Pinedale Mall: 5 x 8 = 40 km
IMO, correct answer is "C."
Answer: C
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Options:
A)271
B)476
C)277
D)9898
E)212
Rationale: 3 1/2 * 8 1/2 = 1/4 * 1/4 * x => x = 476
Answer: B
Answer: B
Question: Three coins are tossed. What is the probability of getting at most two tails?
Options:
A)7/8
B)1/8
C)1/2
D)1/7
E)2/5
Rationale: Total number of outcomes possible when a coin is tossed = 2 (∵ Head or Tail)
Hence, total number of outcomes possible when 3 coins are tossed, n(S) = 2 × 2 × 2 = 8
(∵ i.e., S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH})
E = event of getting at most two Tails = {TTH, THT, HTT, THH, HTH, HHT, HHH}
Hence, n(E) = 7
P(E) = n(E)/n(S)=7/8
Answer is A
Answer: A
Question: A salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this.He remits Rs.31,100 to his parent company after deducing his commission . Find the total sales.
Options:
A)32500
B)2500
C)22500
D)30000
E)40000
Rationale: Let his total sales be Rs.x.Now(Total sales) – (Commission )=Rs.31,100
x-[(5% of 10000 + 4% of (x-10000)]=31,100
x-[((5/100)*10000 + (4/100)*(x-10000)]=31,100
x-500-((x-10000)/25)=31,100
x-(x/25)=31200  24x/25=31200x=[(31200*25)/24)=32,500.
Total sales=Rs.32,500
ANSWER A
Answer: A
Question: The length of the bridge, which a train 110 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Options:
A)10 m
B)16 m
C)245 m
D)265 m
E)27 m
Rationale: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30
= 25/2 => 2(110 + x) = 750 => x
= 265 m.
Answer: D
Answer: D
Question: Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
Options:
A)16 km
B)20 km
C)18 km
D)15 km
E)12 km
Rationale: Distance = Relative Speed * Time
= (2 + 3) * 4 = 20 km
[ They are travelling in the opposite direction, relative speed = sum of the speeds].
Answer: B
Answer: B
Question: In western Europe, P bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?
Options:
A)9% of (x/100)
B)14% of (x/100)
C)75% of (x/100)
D)9% of P
E)14% of x
Rationale: Moreover is't question actually asking the the difference between the {(Quantity Produced + Quantity Sold )P in 1990 - (Quantity Produced + Quantity Sold ) in 1993}
Though the Quantity sold in both the years is same it actually boils down to (Quantity Produced in 1990 ) in (Quantity Produced in 1993)=D
Answer: D
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Options:
A)5512
B)2800
C)5550
D)2787
E)2309
Rationale: Total production of salt by the company in that year
= 5000 + 5100 + 5200 + .... + 6100
= 66600.
Average monthly production of salt for that year = 66600/12
= 5550.
Answer:C
Answer: C
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Options:
A)245
B)225
C)200
D)250
E)300
Rationale: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.
ANSWER A
Answer: A
Question: Simple interest on a certain sum of money for 5 years at 8% per annum is half the compound interest on Rs. 8000 for 2 years at 15% per annum. The sum placed on simple interest is
Options:
A)Rs.3225
B)Rs.2580
C)Rs.8000
D)Rs.1290
E)None
Rationale: Solution
C.I.	=Rs[8000x(1+15/100)Â²-8000]
Rs.(8000x115/100x115/100-8000)	= Rs.2580.
Sum	=Rs. [1290x100 /5x8]
= Rs.3225.
Answer A
Answer: A
Question: Complete the series
13, 9, 5, 1, ...
Options:
A)-4
B)0
C)3
D)-2
E)3
Rationale: In the above series clearly we know we can get the next term by subtract 4 from the previous term so the answer is Option E) -3
Answer: E
Question: When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 35% water?
Options:
A)1.3 kg
B)1.5 kg
C)1.7 kg
D)1.9 kg
E)None of these
Rationale: Explanation :
Flower-nectar contains 50% of non-water part.
In honey this non-water part constitutes 65% (100-35).
Therefore 0.5 X Amount of flower-nectar = 0.65 X Amount of honey = 0.65 X 1 kg
Therefore amount of flower-nectar needed =
(0.65/0.51)kg=1.3 kgs
Answer : A
Answer: A
Question: To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced.How many parts the company made?
Options:
A)675
B)778
C)654
D)412
E)589
Rationale: Let x be the number of days the company worked. Then 25x is the number of parts they planned to make. At the new production rate they made:
3⋅25+(x−3)⋅30=75+30(x−3)
Therefore: 25x=75+30(x−3)−100
25x=75+30x−90−100
190−75=30x−25
115=5x
x=23
So the company worked 23 days and they made 23⋅25+100=675 pieces.
correct answer is A)675
Answer: A
Question: A train 110 meters long completely crosses a 280 meters long bridge in 38 seconds. What is the speed of the train is?
Options:
A)32
B)45
C)40
D)66
E)09
Rationale: S = (110 + 280 /38 = 390/38 * 18/5 = 40
Answer: C
Answer: C
Question: In a barrel of juice there is 15 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Options:
A)3:2.
B)2:1.
C)3:1.
D)4:1.
E)3:4.
Rationale: Juice barrel : beer Barrel = 15:80 i.e. 3:8
price of Juice : Price of Beer = 3 : 4
so for 15/80 costs 3/4, ie 15J / 80B = 3/4.
Solving for J/B, we get 4:1
Answer D.
Answer: D
Question: The compound ratio of 5:6, 3:2 and 4:5?
Options:
A)1:1
B)1:87
C)1:6
D)1:9
E)1:2
Rationale: 5/6 * 3/2 * 4/5 = 1/1
1:1
Answer: A
Answer: A
Question: A type of mixture is prepared by mixing brand at Rs.9 a kg with brand B at Rs.4 a kg.If a mixtue is worth rupees 7 a kg,how many kgs of brand A are needed to make 40 kgs of the mixture?
Options:
A)21
B)22
C)23
D)24
E)25
Rationale: 9 4
7
(7-4) 3 2 (9-7)
thus ratio would be 3:2
and thus 3x+2x=40
so x=8 and 3x=24.
thus A type of mixture would be of 24 kg.
ANSWER:D
Answer: D
Question: the cyclist going at a constant rate of 20 miles per hour is passed by a motor-cyclist traveling in the same direction along the same path at 60 miles per hour. the motor-cyclist stops to wait for the cyclist 10 minutes after passing her, while the cyclist continues to travel at constant rate, how many minutes must the motor-cyclist wait until the cyclist catches up?
Options:
A)10
B)20
C)25
D)30
E)40
Rationale: For the 10 minutes the motor-cyclist continues to overtake the cyclist, she is going at 40 miles per hour faster than the cyclist.
Once the motor-cyclist stops, the cyclist is going at 20 miles per hour while the motor-cyclist is at rest
So the amount of time the cyclist will take to cover the distance between them is going to be in the ratio of the relative speeds. 40/20 * 10 or 20 minutes
Answer is (B)
Answer: B
Question: Divide Rs.32000 in the ratio 3:5?
Options:
A)12000, 20000
B)12000, 200098
C)12000, 20007
D)12000, 20006
E)12000, 20001
Rationale: 3/8 * 32000 = 12000
5/8 * 32000 = 20000
Answer: A
Answer: A
Question: A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?
Options:
A)1/35
B)2/35
C)3/45
D)4/25
E)4/27
Rationale: Let the fraction be x. Then,
x:1/27 = 3/7 : 5/9
x × 5/9 = 1/27 × 3/7
x × 5/9 = 1/9 × 1/7
x × 5/9 = 1/63
x × 5 = 9/63
5x = 1/7 = 1/35
A)
Answer: A
Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Options:
A)32
B)82
C)83
D)89
E)73
Rationale: Explanation:
S = (100 + 300)/45 = 400/45 * 18/5 = 32
Answer: Option A
Answer: A
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Options:
A)287
B)891
C)277
D)666
E)161
Rationale: Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10 = 89 sec.
Answer:B
Answer: B
Question: In an examination, 25% of total students failed in Hindi, 50% failed in English and 25% in both. The percentage of these who passed in both the subjects is :
Options:
A)23
B)37
C)28
D)40
E)50
Rationale: Explanation:
Formula n(aâˆªb) = n(a) + n(b) âˆ’ n(aâˆ©b)
Fail in Hindi or English = 25 + 50 â€“ 25 = 50
Therefore students who passed = 100 â€“ 50 = 50.
Answer: E
Answer: E
Question: Which of the below number is the odd one out?
Options:
A)36142
B)36119
C)84129
D)50246
E)72927
Rationale: D
50246
All the others are three digit numbers followed by their square root, eg 361 followed by its square root, 19.
Answer is D
Answer: D
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Options:
A)240
B)235
C)245
D)250
E)260
Rationale: Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 + x)/30 = 25/2
x = 245 m.
Answer: Option C
Answer: C
Question: P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?
Options:
A)9(3/5) days
B)9(1/5) days
C)9(2/5) days
D)10 days
E)10(1/5) days
Rationale: Explanation :
Amount of work P can do in 1 day = 1/16
Amount of work Q can do in 1 day = 1/12
Amount of work P, Q and R can together do in 1 day = 1/4
Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48
=> Hence R can do the job on 48/5 days = 9 (3/5) days
Answer : Option A
Answer: A
Question: If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between?
Options:
A)0 and 3/20
B)3/20 and 1/5
C)1/5 and 1/4
D)1/4 and 3/10
E)3/10 and 1/2
Rationale: A. 0 and 3/20 - covers 0 to 3/20 but leaves out 3/20 to 10/20. So in essence, covers only 3 parts out of 10 parts
B. 3/20 and 1/5 - covers 3/20 to 4/20 (= 1/5). So in essence, covers only 1 part out of 10 parts
C. 1/5 and 1/4 - covers 4/20 to 5/20. So in essence, covers only 1 part out of 10 parts
D. 1/4 and 3/10 - covers 5/20 to 6/20. So in essence, covers only 1 part out of 10 parts
E. 3/10 and 1/2 - covers 6/20 to 10/20. So in essence, covers 4 parts out of 10 parts. Since this range is the widest, so the probability of the number lying in this range is the highest.
Answer (E)
Answer: E
Question: Sohan purchased a horse for Rs.2000 and sold it to Mohan at a loss of 10 percent. Mohan sold it to Sham at a loss of 10 percent while sham sold it to Gopi at a gain of 10 percent. The amount Gopi paid for it would be
Options:
A)2399
B)788
C)1782
D)67591
E)1122
Rationale: Explanation:
Cost price = 2000
Selling price = 90% (2000) = 1800.
Mohan sold this to Sham at a loss of 10%. So selling price = 90% (1800) = 1620
Sham sold this at 10% profit. So selling price = 110% (1620) = 1782
Answer:C
Answer: C
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 200 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?
Options:
A)1
B)2
C)3
D)4
E)6
Rationale: The distance between the nest and the ditch is 200 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 * 200 = 6000.
D = ST
6000/1.5 = T , I think we can take 6000 meters as 6 km, then only we get T = 4.( 1000 meters = 1 km)
D)
Answer: D
Question: If a, b, and c are consecutive positive even integers and a > b > c, which of the following could be equal to a + b + c ?
Options:
A)12
B)2
C)-1
D)-3
E)-4
Rationale: consectutive even , X , X + 2 , X + 4 where X = Even
now subtract X + (X+2) + (X+4)
doing this leaves us with 3X + 6
what even number can we substitute in X to yield an answer choice
A works 12 (plug in 2 for X)
Answer: A
Question: A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
Options:
A)1400
B)1500
C)1600
D)1200
E)None of these
Rationale: Explanation :
Assume that the total profit is x.
Since 5% goes for charity, 95% of x will be divided between A and B in the ratio 3: 2
=> A's profit = (95x/100) * (3/5) = 855
=> 95x/100 = 855*5/3 = 285*5 = 1425
=> x = 1425 * 100/95 = 285 * 100/19 = 1500
Hence the total profit = 1500. Answer : Option B
Answer: B