divelab/Sys2Bench huggingface dataset:
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Options:
A)31/145
B)36/145
C)21/141
D)23/121
E)25/145
Rationale: The probability that first ball is white:
=12C130C1=12C130C1
=1230=1230
=25=25
Since, the ball is not replaced; hence the number of balls left in bag is 29.
Hence, the probability the second ball is black:
=18C129C1=18C129C1
=1829=1829
Required probability,
=(25)×(1829)=(25)×(1829)
=36/145
B
Answer: B
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Options:
A)11 1/0
B)11 1/4
C)11 1/2
D)11 1/1
E)11 1/9
Rationale: 3/12 + x/15 = 1
x= 11 1/4
Answer:B
Answer: B
Question: A train speeds past a pole in 10 seconds and a platform 150 m long in 25 seconds. Its length is:
Options:
A)300 m.
B)250 m.
C)100 m.
D)200 m.
E)150 m.
Rationale: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 10=> y = x/10
x + 150 / 25 = x / 10
x = 100 m.
Answer: Option C
Answer: C
Question: In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 58 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
Options:
A)57
B)2^4*3
C)24
D)38
E)47
Rationale: So 57 days
Answer A=57
Answer: A
Question: Cindy paddles her kayak upstream at a kilometers per hour, and then returns downstream the same distance at n kilometers per hour. How many kilometers upstream did she travel if she spent a total of p hours for the round trip?
Options:
A)mnp
B)an/p
C)(a + n)/p
D)anp/(a + n)
E)pm/n- pn/m
Rationale: let t1 and t2 be the time taken to row upstream and downstream respectively
now,
t1=distance/speed=d/a
similarly,
t2=d/n (as same distance has to be rowed)
also,
t1+t2=p
therefore,
p=(d/a)+(d/n)
=d(a+n)/an
d=pan/(a+n)=D
Answer: D
Question: What number comes next in the following series? 4, 13, 40, 121, 364, x
Options:
A)1093
B)1100
C)1301
D)1400
E)1713
Rationale: 44 × 3 + 1 = 1313 × 3 + 1 = 4040 × 3 + 1 = 121121 × 3 + 1 = 364364 × 3 + 1 = 1093 A
Answer: A
Question: A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 30 minutes late. If it travels at 150 miles per hour, it reaches the station 15 minutes early. What is the amount of time that the train is scheduled to take for the journey and what is the distance between the stations?
Options:
A)	1.75 hours, 225 miles
B)	3 hours, 350 miles
C)	4 hours, 450 miles
D)	5 hours, 550 miles
E)	6 hours, 650 miles
Rationale: Let t be the usual time and x be the distance between AB. So we need to find t and Distance x. The question gives us 2 combinations of speedtime, but the distance remains the same for both condition.
Equation 1 - x= 100 (t+.5) (converted 30 mins into hr) added .5 hrs because it is late or took more time than usual.
Equation 2 - x= 150 (t-.25) subtracted .25 hrs because it is early or took less time than usual.
Now equating 12 we get 100(t+.5)=150(t-.25)
=> 10t +5 = 15t - 3.75
=> 5t=8.75 => t= 1.75 hrs.
Hence x= 100(1.75+.5) =>100 X 2.25 => 225 miles.
Hence correct answer A
Answer: A
Question: What is his percentage profit made by Elvis if he purchased 25 dozen belts at Rs. 35 per dozen. He sold 10 dozens at 15% profit and the remaining 15 dozens with 16% profit?
Options:
A)18%
B)12%
C)16%
D)15%
E)19%
Rationale: Explanation :
C.P of 25 dozen = Rs.(35 x 25) = Rs.875
C.P of 10 dozen = Rs. (35 x10) = Rs. 350.
C.P of 15 dozen =Rs. (35 x15) = Rs. 525
profit on 10 dozen at 15% = 15/100*350 = 52.5
profit on 15 remaining dozen at 20% = 20/100*525 = 105
total profit = 52.5 + 105 = 157.5
% profit = ?/100*875 = 157.5
= 18%
Answer : A
Answer: A
Question: A project has three test cases. Three teams are formed to study the three different test cases. James is assigned to all three teams. Except for James, each researcher is assigned to exactly one team. If each team has exactly 7 members, then what is the exact number of researchers required?
Options:
A)23
B)20
C)21
D)22
E)19
Rationale: alternatively, we have
7*3-2( because james is included in all the three teams)
=19
E
Answer: E
Question: A 250 meter long train crosses a platform in 40 seconds while it crosses a signal pole in 20 seconds. What is the length of the platform?
Options:
A)500
B)1000
C)350
D)250
E)20
Rationale: Speed = [250 / 20] m/sec =25/2 m/sec.
Let the length of the platform be x meters.
Then, x + 250 /40 = 25/2
2(x + 250) = 1000 è x = 250m. Answer: D
Answer: D
Question: If the price of petrol increases by 40, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
Options:
A)25%
B)20%
C)16.67%
D)28.6%
E)None of these
Rationale: Explanation :
let us assume before increase the petrol will be Rs. 100.
After increase it will be Rs (100+40) i.e 140.
Now, his consumption should be reduced to :-
=(140−100)/140 ∗ 100.
Hence, the consumption should be reduced to 28.6%.
Answer : D
Answer: D
Question: Current age of Bruce and Tomy r in the ratio of 5:4 respectively. 3 years hence, the ratio of their ages will become 11:9 respectively. What is Tomy 's present age in years?
Options:
A)20 years
B)21 years
C)24 years
D)27 years
E)30 years
Rationale: Let the present ages of Bruce and Tomy be 5x years and 4x years respectively.
Then,	5x + 3	=	11
4x + 3	9
9(5x + 3) = 11(4x + 3)
45x + 27 = 44x + 33
45x - 44x = 33 - 27
x = 6.
Anand's present age = 4x = 24 years.
C
Answer: C
Question: On increasing the price of T.V. sets by 70%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ?
Options:
A)4
B)5
C)36
D)2
E)7
Rationale: Explanation:
Let the price be = Rs.100, and number of units sold = 100
Then, sale value = Rs.(100 × 100) = Rs.10000
New sale value = Rs.(170 × 80) = Rs.13600
Increase% = 3600/10000 × 100 = 36%
Answer: C
Answer: C
Question: How many times digit 7 is used while writing numbers from 1 to 300?
Options:
A)28
B)42
C)41
D)35
E)49
Rationale: in 1 to 100 their are 14 seven's
in 100 to 200 their are 14 seven's
in 200 to 300 their are 14 seven's
so total answer is 42 seven's
CORRECT OPTION :B
Answer: B
Question: Paul has to secure 50% marks to clear his exam of class 7th.
He got 50 marks and failed by 10 marks.
What is the maximum marks ?
Options:
A)100
B)110
C)120
D)210
E)200
Rationale: C
120
To pass the exam ravish needs 50 + 10 = 60 marks.
=> (60/50) *100 = 120
Answer: C
Question: A furniture dealer purchased a desk for $240 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Options:
A)$40
B)$60
C)$160
D)$90
E)$100
Rationale: Purchase price = 240
Selling price = x
240 + 0.4*x = x
0.6*x = 240
x = 400
Profit = 400 - 240 = 160
ANSWER:C
Answer: C
Question: A man is 30 years older than his son. In three years, his age will be twice the age of his son. The present age of his son is:
Options:
A)20
B)21
C)27
D)23
E)24
Rationale: Let the son's present age be x years. Then, man's present age = (x + 30) years.
(x + 30) + 3 = 2(x + 3)
x + 33 = 2x + 6
x = 27.
Answer:C
Answer: C
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Options:
A)1878
B)2890
C)2789
D)8112
E)2789
Rationale: A = 7500(26/25)2
= 8112
Answer:D
Answer: D
Question: A train 200m long passes a standing man in 12 seconds. What is the speed of the train?
Options:
A)30km/hr
B)36km/hr
C)42km/hr
D)60km/hr
E)32km/hr
Rationale: Speed of the train = 200/12* 18/5 = 60km/hr
Answer is D
Answer: D
Question: How many two-digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6?
Options:
A)None
B)One
C)Two
D)Three
E)Four
Rationale: The possible number N can be written as follow:
N = Multiple of LCM(6,10) + 1st such number
N = 30x + 1
Possible values = 1, 31, 61, 91
Answer : 3 such 2 digit number.
ANSWER:D
Answer: D
Question: If six persons sit in a row, then the probability that three particular persons are always together is ?
Options:
A)1/5
B)2/8
C)1/6
D)1/7
E)1/2
Rationale: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability
= 3!4!/6!
= 1/5
Answer: C
Answer: C
Question: A can do a piece of work in 14 days which B alone can do in 21 days. They begin together but 3 days before the completion of the work, A leaves off. The total number of days for the work to be completed is
Options:
A)6 3/5 days
B)8 ½ days
C)10 1/5 days
D)13 ½ days
E)7 days
Rationale: Explanation:
B’s 1 day’s work = 1/21
B’s 3 day’s work = 1/21 ×3 = 1/7
The remaining work finished by both of them = 1 – 1/7 = 6/7
Both together can finish it in 14 × 21/35 days = 42/5 days
Their, 1 day’s work = 5/42
Therefore, the No. of days taken by them together to finish 6/7 work
= 6/7/5/42 = 6/7 × 42/5 = 36/5 = 7 1/5 days
Therefore, the total No. of days for the work to be completed = 3 + 7 1/5 = 10 1/5 days.
Answer: Option C
Answer: C
Question: The ratio of two quantities is 5 to 6. If each of the quantities are doubled, what is the ratio of these 2 new quantities?
Options:
A)5:6
B)10:12
C)20:24
D)5:12
E)It cannot be determined from the information given
Rationale: If both sides of a ratio are multiplied by the same number there is no change in the ratio.
5:6 means 5x:6x...
So when you double, 5(1): 6(1) becomes 5(2): 6(2)..
So if the Xs are equal the ratio does not change..
ANSWER:A
Answer: A
Question: A question paper has 2parts, A & B, each containing 10 questions. If a student has to choose 8 from part A &5 from part B, in how many ways can he choose the questions?
Options:
A)1100
B)1130
C)1135
D)1138
E)1140
Rationale: There 10 questions in part A out of which 8 question can be chosen as = 10C8.
Similarly, 5 questions can be chosen from 10 questions of Part B as = 10C5.
Hence, total number of ways,
=10C8*10C5
=[10!/(2!8!)]*[10!/(5!*5)]
= {10*9/2}*{10*9*8*7*6/(5*4*3*2*1)}
= 1140.
E
Answer: E
Question: There are 3 numbers A, B and C. If A:B = 3/4, B:C = 4/5, C:D = 5/6, then A:D will be?
Options:
A)1 : 2
B)2 : 3
C)3 : 5
D)3 : 7
E)4 : 7
Rationale: Sol. A : B = 3 : 4, B : C = 4 : 5, C : D = 5 : 6
∴A∶B∶C∶D= 3 : 4 : 5 : 6.
Thus, A : D = 3 : 6 or, 1 : 2
A
Answer: A
Question: What should be the least number to be added to the 11002 number to make it divisible by 11?
Options:
A)12
B)9
C)18
D)77
E)26
Rationale: Answer : 9
Option : B
Answer: B
Question: If a is divisible by 5!, then a/4 must be
I. an odd integer
II. a multiple of 3
III. a multiple of 10
Options:
A)I only
B)II only
C)III only
D)I and III only
E)II and III only
Rationale: If a is divisible by 5! then a must be of the form 120*k when k is an integer 1, 2, 3
then a can be 120, 240, 360, 480....
a/4= 30, 60, 90, 120.....
from this we can say a/4 satisfies E.
ANSWER:E
Answer: E
Question: The average weight of 24 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
Options:
A)48.975
B)42.255
C)50
D)51.255
E)52.253
Rationale: Explanation:
Average weight of 24 boys = 50.25
Total weight of 24 boys = 50.25 × 24
Average weight of remaining 8 boys = 45.15
Total weight of remaining 8 boys = 45.15 × 8
Total weight of all boys in the class = (50.25 × 24)+ (45.15 × 8)
Total boys = 24 + 8 = 32
Average weight of all the boys = (50.25×24)+(45.15×8)/32
=48.975
Answer: Option A
Answer: A
Question: x, a, z, and b are single digit positive integers. x = a/3. z = b/3. (10a + b) – (10x + z) could NOT equal
Options:
A)33
B)22
C)54
D)78
E)110
Rationale: 1) firstly we are not given that all are different integers..
2) since each is a positive single digit integer and x=a/3... Z=b/3
so in (10a + b) – (10x + z) ..
10a+b can be
33,66,99,132..
10x+z can be
11,12,21,22..
ans A
Answer: A
Question: A certain sum of money at simple interest amounted Rs.880 in 10 years at 3% per annum, find the sum?
Options:
A)672.92
B)673.92
C)674.92
D)675.92
E)676.92
Rationale: 880 = P [1 + (10*3)/100]
P = 676.92
Answer: E
Answer: E
Question: The ages of 2 boys differ by 16 yrs. 6 yrs ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder boy?
Options:
A)10
B)20
C)30
D)40
E)50
Rationale: Let present age of the elder person =x and
present age of the younger person =x−16
(x−6)=3(x−16−6)⇒x−6=3x−66⇒2x=60⇒x=602=30
C
Answer: C
Question: A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 20 seconds. What is the length of the train in meters?
Options:
A)400 meters
B)1111 meters
C)1777 meters
D)200 meters
E)None of these
Rationale: Train overtakes a bike means that we are talking about total length of the train. (train's head is close to bike when it started and its tail crosses the bike when it overtakes the bike)
Relative speed= 100-64= 36Km/h = 36000 m/h
time= 20 seconds
Distance= speed*time
36000* 20/3600= 200 meters.
D is the answer.
Answer: D
Question: A car covers a distance of 624 km in 2 3/5 hours. Find its speed?
Options:
A)104 kmph
B)194 kmph
C)109 kmph
D)174 kmph
E)240 kmph
Rationale: 624/2 3/5
=240 kmph
Answer:E
Answer: E
Question: By selling 90 pens, a trader gains the cost of 15 pens. Find his gain percentage?
Options:
A)16.66%
B)17.66%
C)18.66%
D)19.66%
E)20.66%
Rationale: Let the CP of each pen be Rs. 1.
CP of 90 pens = Rs. 90
Profit = Cost of 15 pens = Rs. 15
Profit% = 15/90 * 100 = 16.66%
Answer:A
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 7 kmph, what is the time taken to row a distance of 60 km downstream?
Options:
A)30/18 hours
B)37/13 hours
C)80/13 hours
D)20/9 hours
E)30/43 hours
Rationale: Speed downstream = 20 + 7 = 27 kmph.
Time required to cover 60 km downstream
= d/s = 60/27
= 20/9 hours.
Answer: D
Answer: D
Question: In a can, there is a mixture of milk and water in the ratio 4:3. If the can is filled with an additional 10 liters of milk, the can would be full and the ratio of milk and water would become 5:2. Find the capacity of the can?
Options:
A)24
B)26
C)28
D)30
E)32
Rationale: Let C be the capacity of the can.
(4/7)*(C-10)+10=(5/7)*C
4C-40+70=5C
C=30
The answer is D.
Answer: D
Question: The effective annual rate of interest corresponding to a nominal rate of 10% per annum payable half-yearly is?
Options:
A)10.06%
B)10.25%
C)10.35%
D)16.09%
E)16.19%
Rationale: Amount of Rs. 100 for 1 year when compounded half-yearly = [100 * (1 + 5/100)2] = Rs. 110.25 Effective rate = (110.25 - 100) = 10.25%
ANSWER:B
Answer: B
Question: A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it
Options:
A)40days
B)35days
C)30days
D)25days
E)10days
Rationale: Explanation:
Suppose B takes x dáys to do the work.
As per question A will take
2∗3 /4∗x=3x /2days
(A+B)s 1 days work= 1/18
1/x + 2/3x = 1/18 or x = 30 days
Option C
Answer: C
Question: In 150 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Options:
A)20 m
B)25 m
C)22.5 m
D)9 m
E)30 m
Rationale: Distance covered by B in 9 sec. =	150/45 x 9	m = 30 m.
A beats B by 30 metres.
Answer: Option E
Answer: E
Question: If a quarter kg of potato costs 60 paise, how many paise will 200gm cost ?
Options:
A)45 paise
B)46 paise
C)47 paise
D)48 paise
E)None of these
Rationale: Explanation:
Quarter of Kg means 250 gm
Less weight, less price (Direct Proportion)
So,
250:200::60:x=>x=200∗60/ 250=>x=48
So 200 gm will cost 48 paise.
Option D
Answer: D
Question: Find the odd man out. 15, 25, 30, 51, 85, 90, 115
Options:
A)15
B)25
C)51
D)90
E)91
Rationale: Explanation :
All except 51 are multiples of 5. Answer : Option C
Answer: C
Question: Find the area of a parallelogram with base 12 cm and height 48 cm?
Options:
A)122 cm2
B)576 cm2
C)246 cm2
D)42 cm2
E)39 cm2
Rationale: Area of a parallelogram
= base * height
= 12 * 48
= 576 cm2
Answer: B
Answer: B
Question: A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3840. They completed the work in 3 days with the help of C. How much is to be paid to C?
Options:
A)s. 380
B)s. 600
C)s. 420
D)s. 400
E)s. 480
Rationale: Explanation :
Amount of work A can do in 1 day = 1/6
Amount of work B can do in 1 day = 1/8
Amount of work A + B can do in 1 day = 1/6 + 1/8 = 7/24
Amount of work A + B + C can do = 1/3
Amount of work C can do in 1 day = 1/3 - 7/24 = 1/24
work A can do in 1 day: work B can do in 1 day: work C can do in 1 day
= 1/6 : 1/8 : 1/24 = 4 : 3 : 1
Amount to be paid to C = 3840 × (1/8) = 480
Answer : Option E
Answer: E
Question: lexus car agency has 216 cars.he sold some cars at 9% profit and rest at 36% profit thus he gains 17% on the sale of all his cars.the no. of cars sold at 36% profit is?
Options:
A)36
B)64
C)38
D)39
E)40
Rationale: ratio of 36% profit cars to 9% profit cars = 8:19
so no. of cars sold at 36% profit = 216*8/27= 64 cars
ANSWER:B
Answer: B
Question: Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 63 more. What was his original selling price?
Options:
A) $770
B) $660
C) $700
D) $990
E) $840
Rationale: Let the original purchase price be X
So original selling price at 10% profit = 1.1X
If product is purchased at 10% less of original = 0.9X
Profit of 30% on this price = 1.3(0.9X)
He would have received $63 more in second scenario => 1.3(0.9X) - 1.1X = 63
=> 0.07X = 63
=> X = $900
Original purchase price = $900
Hence, original selling price (at 10% of profit) = 1.1(900) = $990
Option D
Answer: D
Question: Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/2 of all the paint. During the second week, he uses 1/5 of the remaining paint. How many gallons of paint has Joe used?
Options:
A)18
B)144
C)175
D)216
E)250
Rationale: Total paint initially = 360 gallons
Paint used in the first week = (1/2)*360 = 180 gallons.
Remaning paint = 180 gallons
Paint used in the second week = (1/5)*180 = 36 gallons
Total paint used = 216 gallons.
Option D
Answer: D
Question: For dinner, Sue ate 360 grams of fruit which was five times as much fruit as she ate for lunch, and three times as much fruit as she ate for breakfast. How much fruit did Sue eat in total?
Options:
A)552
B)560
C)568
D)576
E)584
Rationale: For breakfast, Sue ate 360 / 3 = 120 grams.
For lunch, Sue ate 360 / 5 = 72 grams.
For dinner, Sue ate 360 grams.
The total is 120 + 72 + 360 = 552 grams.
The answer is A.
Answer: A
Question: 60 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?
Options:
A)14.4
B)180/7
C)50.4
D)60
E)90
Rationale: 60% of Area of the floor = 4*9 square feet = 36 square feet
i.e. 100% Area of Floor = (36/60)*100 = 60 square feet
Answer: Option D
Answer: D
Question: If a wagon wheel had 10 more spokes, the angle between them would decrease by 6 degrees. Can you identify the number of spokes in the wheel?
Options:
A)20 spokes
B)10 spokes
C)30 spokes
D)15 spokes
E)25 spokes
Rationale: A
20 spokes
360/S = A
360/(S +10) = A – 6
Thus there are 20 spokes in the wheel.
Answer: A
Question: (5!+6!+4!)/4!*0!*5*6=?
Options:
A)4/5
B)6/5
C)5/6
D)4/3
E)9/8
Rationale: 4!(5+30+1)/4!*1*5*6
36/30=6/5
answer B
Answer: B
Question: Three unbiased coins are tossed. What is the probability of getting 1 heads, 1 Tail?
Options:
A)3/4
B)1/4
C)3/8
D)7/8
E)2/8
Rationale: Let, H --> Head , T --> Tail
Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}
Let E = event of getting 3 heads
Then E = {THT, HTH}
P(E) = n(E)/n(S) =2/8
Answer is E
Answer: E
Question: In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
Options:
A)250
B)256
C)350
D)360
E)480
Rationale: Total ways of arranging 7 person in a circle = 6! = 720 ways
If we consider two women as one, then we have 5+1=6 persons. Arranging these six persons in circle will take = 5! = 120 ways
And two women can arrange themselves in 2! ways
Total ways in which two women sit together in circle = 5!*2! = 240 ways
Total ways in which two women doesn’t sit together in circle = 6! - 5!*2! = 720 - 240 = 480 ways
E
Answer: E
Question: If (1 – 1.5)N = 1, then N =
Options:
A) −400
B) −140
C) −2
D) 4
E) 400
Rationale: (1 – 1.5)N = 1
Simplify to get: -0.5N = 1
Rewrite as (-1/2)N = 1
Multiply both sides by -2 to get: N = -2
Answer: C
Answer: C
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Options:
A)7 : 6 : 10
B)12 : 15 : 16
C)42 : 45 : 56
D)12 : 18 : 26
E)Cannot be determined
Rationale: Aman : Rakhi : Sagar =(70,000 x 36):(1,05,000 x 30):(1,40,000 x 24) = 12 : 15 : 16.
Answer: Option B
Answer: B
Question: Andrew started saving at the beginning of the year and had saved $150 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
Options:
A)11%
B)25%
C)44%
D)56%
E)125%
Rationale: Percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year.
Percentage Change = ( Change in value / Original value ) * 100
Percentage Change = [ (Saving in 2nd year - Saving in 1st year ) / Saving in 1st year ] * 100
Saving in 2nd year + Saving in 1st year = 540
Saving in 2nd year + 150 = 540
Saving in 2nd year = 540 - 150 = 390
Change in Value = 390 - 150 =240
Original Value = 160
Percentage Increase = (160 / 150 ) * 100 = 160% ..... Answer E......
Answer: E
Question: A can do a piece of work in 80 days. He works at it for 10 days & then B alone finishes the remaining work in 42 days. In how much time will A and B, working together, finish the work?
Options:
A)23 days
B)25 days
C)30 days
D)33 days
E)35 days
Rationale: Work done by A in 10 days=10/80=1/8
Remaining work=(1-(1/8))=7/8
Now, work will be done by B in 42 days.
Whole work will be done by B in (42*8/7)=48 days
Therefore, A's one day's work=1/80
B’s one day's work=1/48
(A+B)'s one day's work=1/80+1/48=8/240=1/30
Hence, both will finish the work in 30 days.
Answer : C.
Answer: C
Question: which number need to add to 859622 to get a number exactly divisible by 456?
Options:
A)389999
B)543248
C)798790
D)795320
E)859622
Rationale: Dividend = Quotient * Divisor + Reminder
859622 / 456 gives quotient = 1885 and reminder = 62.
So, the next number divisible by 456 is 456 places infront of 456 * 1885
Which means 456 – 62 = 394 should be added to 859622.
E
Answer: E
Question: A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
Options:
A)2 p.m
B)6 p.m
C)5 p.m
D)7 p.m
E)9 p.m
Rationale: Suppose the thief is overtaken x hrs after 2.30 p.m.
Then, distance covered by the owner in (x - 1/2) hrs.
60x = 75(x - 1/2) => x = 5/2 hrs.
So, the thief is overtaken at 5 p.m.
Answer:C
Answer: C