divelab/Sys2Bench huggingface dataset:
Question: The sum of ages of 5 girls born at the intervals of 2 years each is 50 years. What is the age of the youngest girl?
Options:
A)years
B)years
C)years
D)years
E)years
Rationale: Let the ages of children be x, (x + 2), (x + 4), (x + 6) and (x + 8) years.
Then, x + (x + 2) + (x + 4) + (x +6) + (x + 8) = 50
5x = 30
x = 6.
Age of the youngest child = x =6 years.
A)
Answer: A
Question: If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 3 days ?
Options:
A)X-1/8
B)X/2
C)X/4
D)X/32
E)X/16
Rationale: LET NO OF LEAVES IX X ..IST DAY X/2 ..2ND DAY X/4 ..3RD DAY X/8 , FOURTH DAY X/16 , 5TH DAY X/32 , 6TH DAY X/64 SO ON SO FOURTH.
FINALLY ON LEAVE WILL BE LEFT ..SO ON 3RD DAY LEAVE LOST IS X-1/8 ANSWER A
Answer: A
Question: If Joanie puts $500 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Options:
A)$51.25
B)$510
C)$550
D)$551.25
E)$565
Rationale: Since, money is compounded semiannually, rate of interest=10/2=5% and time =1*2=2
C.I=(5%of $500)+5%of(5%of $500)=$51.25
Amount=$500+51.25=$551.25
Answer D
Answer: D
Question: The ratio of the money with Ravi and Giri is 6:7 and that with Giri and Kiran is 6:15. If Ravi has $36, how much money does Kiran have?
Options:
A)$36
B)$42
C)$60
D)$75
E)$105
Rationale: Rita : Sita : Kavita
6 : 7
6 : 15
36 : 42 : 105
The ratio of money with Ravi, Giri and Kiran is 36:42:105
We see that 36 = $36
Then 105 = $ 105
Answer is E
Answer: E
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 16 hours and 4 hours respectively. The ratio of their speeds is:
Options:
A)2 : 4
B)4 : 3
C)6 : 7
D)9 : 16
E)None of these
Rationale: Let us name the trains as A and B. Then,
(A's speed) : (B's speed) = âˆšb : âˆša = âˆš4 : âˆš16 = 2 : 4.
Answer A
Answer: A
Question: If the sum of the interior angles of a regular polygon measures up to 900 degrees, then how many sides does the polygon have?
Options:
A)10
B)16
C)12
D)11
E)7
Rationale: one of the interior angle = 180 - 360/n
sum of the interior angles is = n (180 - 360/n)
given
n(180 - 360/n)=900
180n - 360 = 1260
180n = 1260
n = 1260/180 = 7
ANSWER:E
Answer: E
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 12% if no discount was offered?
Options:
A)17608
B)17920
C)17604
D)17600
E)117601
Rationale: Price at which the TV set is bought = Rs. 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = Rs. 15625
The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000
The price at which the TV should be sold to get a profit of 10% if no discount was offered = 16000 * 112/100 = Rs. 17920.Answer: B
Answer: B
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 37 min, then the slower pipe alone will be able to fill the tank in?
Options:
A)229
B)787
C)144
D)148
E)121
Rationale: Let the slower pipe alone fill the tank in x min.
Then, faster pipe will fill it in x/3 min.
1/x + 3/x = 1/37
4/x = 1/37 => x = 148 min.
Answer: D
Answer: D
Question: If a person has two rectangular fields. The larger field has thrice the length and 4 times the width of the smaller field. If the smaller field has a length 50% more than the width.If a person takes 20 minutes to complete one round of a smaller field then what is the time required to complete one round of a larger field ?
Options:
A)69 minutes
B)68 minutes
C)58 minutes
D)48 minutes
E)67 minutes
Rationale: Let the width of the smaller rectangle is 4 units
then, the length of the smaller rectangle is 6 units(that is 50% more than the width)
Now the perimeter of the rectangle is 2(6+4)=20units
So, 20 units is covered in 20 units, implies covers one unit in one minute
So Now coming to the larger rectangle
The Width =16Units, Length =18units, perimeter=2(16+18)68 units
Thus, to cover the larger field, 68 minutes required to cover the rectangle.
ANSWER:B
Answer: B
Question: Three years ago the average age of a family of eight members was 20 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Options:
A)A)4
B)B)3
C)C)2
D)D)1
E)E)5
Rationale: 8 * 23 = 184
9 * 20 = 180
--------------
4
Answer: A
Answer: A
Question: Mr. Moses made an investment of Rs.350. he receives a fixed interest which is compounded annually. His investment doubled after 3 years when compounded annual. How many more years will it take him to get another Rs.700 compound interest?
Options:
A)4 years
B)5 years
C)1 years
D)3 years
E)2 years
Rationale: Explanatory Answer
Rs.350 invested in compound interest becomes Rs.700 in 3 years.
The amount will double again in another 3 years.
i.e., the amount will become Rs.1400 in another 3 years.
So, to earn another Rs.700 interest, it will take another 3 years.
Answer D
Answer: D
Question: Which of the following numbers should not be included in the set?
331, 482, 551, 263, 381, 242, 111
Options:
A)263
B)381
C)242
D)111
E)None of these
Rationale: Solution
In each number except 381,the product of first and third digits is the middle one. Answer B
Answer: B
Question: Find the highest common factor of 36 and 84.
Options:
A)4
B)6
C)12
D)16
E)18
Rationale: 36 = 22 x 32
84 = 22 x 3 x 7
H.C.F. = 22 x 3 = 12.
Answer: Option C
Answer: C
Question: A car ferry can hold up to 60 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 5 tons?
Options:
A)10
B)12
C)16
D)18
E)20
Rationale: The weight of one car and one truck is 5.75 tons.
60/5.75 = 10 plus a remainder
The ferry could carry 10 cars and 10 trucks for a total of 20 vehicles.
The answer is E.
Answer: E
Question: A and B complete a work in 10 days. A alone can do it in 40 days. If both together can do the work in how many days?
Options:
A)1.0875 days
B)0.125 days
C)0.0675 days
D)0.0875 days
E)0.0775 days
Rationale: 1/10 + 1/40 = 0.125 days
ANSWER:B
Answer: B
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 4 years and that for 9 years?
Options:
A)1 : 3
B)2 : 3
C)1 : 2
D)4 : 9
E)1 : 4
Rationale: Let the principal be P and rate of interest be R%.
Required ratio =
(P x R x 4)/100 DIVIDED BY	(P x R x 9)/100
=	4PR/9PR	=	4/9	= 4 : 9.
ANSWER : D
Answer: D
Question: Hitesh is 40 years old and Ronnie is 60years old. How many years ago was the ratio of their ages 3:5?
Options:
A)10
B)15
C)20
D)8
E)12
Rationale: Suppose the ratio was 3:5, x years ago
40-x / 60-x = 3/5
5(40-x) = 3(60-x)
x = 10
Answer is A
Answer: A
Question: Peter mixed 24 kg of butter at $150 per kg with 36 kg butter at the rate of $125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Options:
A)$156
B)$177
C)$189
D)$190
E)$153
Rationale: C
$189
CP per kg of mixture = [24(150) + 36(125)]/(24 + 36) = $135
SP = CP[(100 + profit%)/100]
= 135 * [(100 + 40)/100] = $189.
Answer: C
Question: The largest number amongst the following that will perfectly divide 101100 – 1 is?
Options:
A)9000
B)91000
C)10000
D)11000
E)12000
Rationale: The easiest way to solve such problems for objective exam purposes is trial and error or by back
substituting answers in the choices given.
1012 = 10,201
1012 − 1 = 10,200.
This is divisible by 100.
Similarly try for 1013 − 1 = 1,030,301−1 = 1,030,300.
So you can safely conclude that (1011 − 1) to (1019 − 1) will be divisible by 100.
(10110 − 1) to (10199 − 1) will be divisible by 1000.
Therefore, (101100 − 1) will be divisible by 10,000
C)
Answer: C
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg. How much amount did he pay to the shopkeeper?
Options:
A)A)1055
B)B)1075
C)C)1065
D)D)1235
E)E)1080
Rationale: Cost of 8 kg grapes = 70 × 8 = 560.
Cost of 9 kg of mangoes = 75 × 9 = 675.
Total cost he has to pay = 560 + 675 = 1235.
D)
Answer: D
Question: If a family spends 40 percent of its household budget on rent and utilities, 30 percent to food, and 20 percent on other bills, what fraction of their monthly budget is available for savings ?
Options:
A)4/5
B)1/10
C)3/5
D)1/10
E)3/10
Rationale: 100%-(40%+30%+20%)=10% of the budget is available --> 10% = 10/100 = 1/10.
Answer: D.
Answer: D
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Options:
A)5
B)6
C)7
D)7
E)1
Rationale: US = 25
DS = 35
M = (35 - 25)/2 = 5
Answer: A
Answer: A
Question: A rectangular tiled patio is composed of 40 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 40 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
Options:
A)5
B)6
C)10
D)13
E)28
Rationale: r*c=70 and (6+4)(c-2)=70 --> r=6 and c=6.
Answer: B.
Answer: B
Question: krishna has 20 apples.ram has 15 apples. Totally how many apples they have in all?
Options:
A)15
B)25
C)55
D)15
E)35
Rationale: 20+15=35. Answer is E
Answer: E
Question: Ram is able to sell a hand-carved statue for $770 which was a 10% profit over his cost. How much did the statue originally cost him?
Options:
A)$496.30
B)$512.40
C)$555.40
D)$700
E)$588.20
Rationale: Cost price = 770/110*100 = 700
Answer : D
Answer: D
Question: n a certain flower shop, which stocks four types of flowers, there are 1/3 as many violets as carnations, and 1/4 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
Options:
A)62
B)63
C)64
D)66.66
E)65
Rationale: Given :-
Violets - C/3
Carnations - C
Tulip - C/12
Rose - C/12
Total flowers in terms of C = C/3+C+C/12+C/12 = 18C/12
Percentage of Carnations = C/3C/2 *100 =66.66%
Answer D
Answer: D
Question: PZQW : NXOU :: FISK :?
Options:
A)EFPJ
B)FERI
C)DGQI
D)HKUM
E)HKUN
Rationale: Difference of one alphabet on each side of proportion term. Answer is thus DGQI
ANSWER:C
Answer: C
Question: Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio J of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?
Options:
A)5 to 1
B)10 to 7
C)1 to 5
D)7 to 10
E)9 to 10
Rationale: Solutioning this exercise can be facilitated by using a R T W (rate time work) table:
We translate the exercise into the table:
R T W
X t/2 1
Y t 1
Z (t/2*3/2 =3t/4) 1
From this table we find the rates
Rx = 2/t
Ry = 1/t
Rz = 4/3t
The Q is what is the ratio of (Tx + Ty) / (Ty + Tz)
Rx + Ry = 2/t + 4/3t = 6/3t+4/3t = 10/3t
Ry+Rz = 1/t + 4/3t = 3/3t + 4/3t = 7/3t
The (10/3t)/(7/3t) = 10/7 then the work ratios is 10 to 7
Since Time Ratio J is the inverse of work, the the answer is 7 to 10
CORRECT ANSWER D
Answer: D
Question: A certain number of workers can do a work in 45 days. If there were 10 workers more it could be finished in 10 days less. How many workers are there?
Options:
A)25
B)30
C)28
D)24
E)35
Rationale: number of workers = 10* (45-10)/10 = 35
Answer is E
Answer: E
Question: A train 575 m long crosses a tunnel of length 325 in 90 sec. What is the speed of the train in kmph.
Options:
A)28
B)32
C)36
D)24
E)30
Rationale: Total distance traveled = Length of train + Length of tunnel = 575 + 325 = 900
Time taken to cross the tunnel = 90 sec.
Speed in kmph = distance/time *18/5 = 900/90 * 18/5
= 180/5 = 36 kmph
ANSWER:C
Answer: C
Question: If X and Y are both positive two-digit integers and share no digits, and X > Y, what is the smallest possible value of X - Y?
Options:
A)0
B)1
C)2
D)3
E)9
Rationale: Answer = B = 1
20 - 19 = 30-29 = 40-39 = 50-49 = 1
Answer: B
Question: Find the average of first 4 multiples of 9?
Options:
A)10
B)12.6
C)22.5
D)31.3
E)40.8
Rationale: average = (9+18+27+36)/4 = 22.5
Answer is C
Answer: C
Question: A table is bought for Rs.500/- and sold at a loss of 10% find its selling price
Options:
A)s.450/-
B)s.530/-
C)s.540/-
D)s.600/-
E)s.700/-
Rationale: 100 % ------> 500 (100 * 5 = 500)
90 % ------> 450 (90 * 5 = 450)
Selling price = Rs.450/-
A
Answer: A
Question: If the remainder is 11 when the integer n is divided by 20, what is the remainder when 2n is divided by 10?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: n = 20k+11
2n = 2(20k+11) = 4k*10 + 22 = 4k*10 + 2*10 + 2 = 10j + 2
The answer is C.
Answer: C
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Options:
A)11 years
B)17 years
C)67 years
D)14 years
E)12 years
Rationale: Age of the 15th student
=[15 * 15 - (14 * 5 + 16 * 9)]
= (225 - 214)
= 11 years.
Answer:A
Answer: A
Question: On Children's Day, sweets were to be equally distributed among 175 children in a school. Actually on the Children's Day, 35 children were absent and therefore each child got 4 sweets extra. Total how many sweets were available for distribution ?
Options:
A)2400
B)2480
C)2680
D)2800
E)2900
Rationale: Let take X is the sweets received by each student.
Actually on the Children's Day, 35 children were absent and therefore each child got 4 sweets extra. means
35*x = 140*4 = 560. X= 16. total Sweets are 175*16 = 2800
ANSWER:D
Answer: D
Question: A circular well with a diameter of 6 metres , is dug to a depth of 24 metres. What is the volume of the earth dug out?
Options:
A)678.6 m3
B)36 m3
C)40 m3
D)44 m3
E)None
Rationale: Solution
Volume	= πr2h
‹=› (22 /7 ×3×3×24)m3
‹=›678.6 m3.
Answer A
Answer: A
Question: Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 30 km apart, if they walk in the same direction?
Options:
A)15hours
B)6hours
C)8hours
D)10hours
E)12hours
Rationale: To be 2km apart they take 1 hour
To be 10km apart they take = 1/2 * 30 =15 hours
Answer is A
Answer: A
Question: A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
Options:
A)97
B)60
C)91
D)26
E)21
Rationale: Let the number of boys be x.
Number of girls is 120 - x.
Total number of chocolates received by boys and girls = 2x + 3(120 - x) = 300
=> 360 - x = 300 => x = 60.
So, the number of boys or girls is 60.
Answer: B
Answer: B
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Options:
A)12 kg
B)60 kg
C)72 kg
D)80 kg
E)96 kg
Rationale: Volume of water displaced	= (3 x 2 x 0.01) m3
= 0.06 m3.
Mass of man	= Volume of water displaced x Density of water
= (0.06 x 1000) kg
= 60 kg. Answer: Option B
Answer: B
Question: A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true?
Options:
A)He Gained Rs. 200
B)He lost Rs. 200
C)He neither gained nor lost
D)None of the above
E)He lost Rs. 400
Rationale: Explanation:
The CP of profitable cow = 9900/1.1=9000
and profit = Rs. 900
The CP of loss yielding cow = 9900/0.8=12375
and loss = Rs. 2475
so, the net loss = 2475 - 900 = 1575. Answer: D
Answer: D
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Options:
A)18:11
B)18:15
C)18:10
D)18:12
E)18:13
Rationale: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11 .Answer: A
Answer: A
Question: A train travels at an average of 50 miles per hour for 2 1/2 hours and then travels at a speed of 70miles per hour for 1 1/2 hours. How far did the train travel in the entire 4 hours?
Options:
A)200miles
B)230miles
C)250miles
D)150miles
E)300miles
Rationale: Total distance traveled = (50*2 1/2)+(70*1 1/2) = 125+105 = 230 miles
Answer is B
Answer: B
Question: In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?
Options:
A)975
B)1020
C)1175
D)1243
E)1525
Rationale: Failed in 1st subject = 35*2500/100 = 875
Failed in 2nd subject = 42*2500/100 = 1050
Failed in both = 15*2500/100 = 375
Failed in 1st subject only = 875-375 = 500
Failed in 2nd subject only = 1050-375 = 675
Passed in either subject but not in both = 675+500 = 1175
Answer is C
Answer: C
Question: 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 10 days, working 12 hours a day, the number of men required?
Options:
A)10 days
B)9 days
C)6 days
D)8 days
E)7 days
Rationale: That is, 1 work done = 12 × 8 × 10
Then, 12 8 × 10 = ? × 12 × 10
? (i.e. No. of men required) = 12 × 8 × 10/12× 10 = 8 days
D)
Answer: D
Question: Which of the following numbers is not prime?
Options:
A)5+6
B)20-1
C)3+4
D)59-6
E)9+6
Rationale: Choice A is excluded because 5 can not be factored. Choice B is excluded because 1 has no factors. In Choice C, the number 3 is not able to be factored. Choice D 59 can not be factored. Notice we can factor 3 out of both 9+6. --> 9+6= 3*(3+2). The correct answer is E.
Answer: E
Question: If A's height is 30% less than that of B, how much percent B's height is more than that of A?
Options:
A)42.85%
B)66.68%
C)66.766%
D)86.66%
E)66.65%
Rationale: Excess of B's height over A's = [(30/(100 - 30)] x 100%
= 42.85%
Answer: A)
Answer: A
Question: There are 8 magazines lying on a table; 4 are movie magazines and the other 4 are education magzines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the movie magazine will be selected?
Options:
A)9/14
B)11/14
C)13/14
D)1/14
E)3/14
Rationale: 1- (4c3/8c3) = 13/14
Answer : C
Answer: C
Question: A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
Options:
A)87 days
B)77 days
C)8 days
D)5 days
E)6 days
Rationale: WC = 3:1
WT = 1:3
x 3x
1/x – 1/3x = 1/10
x = 20/3
3/20 + 1/20 = 1/5 => 5 days
Answer: D
Answer: D
Question: 5n + 2 > 12 and 7n - 12 < 44; n must be between which numbers?
Options:
A)2 and 8
B)2 and 6
C)0 and 9
D)2 and 7
E)2 and 9
Rationale: 5n+2 > 12
5n > 10
n > 2
7n-12 < 44
7n < 56
n < 8
So n must be between 2 and 8
2 < n < 8
correct answer A
Answer: A
Question: A cistern is filled by pipe A in 8 hours and the full cistern can be leaked out by an exhaust pipe B in 12 hours. If both the pipes are opened, in what time the cistern is full?
Options:
A)24hrs
B)60hrs
C)70hrs
D)80hrs
E)90hrs
Rationale: time taken to full the cistern=(1/8-1/12)hrs
=1/24
=24hrs
ANSWER:A
Answer: A
Question: When sold at a 60% discount, a sweater nets the merchant a 20% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
Options:
A)20%
B)40%
C)66.67%
D)80%
E)100%
Rationale: we should be careful about what are we measuring % on/what is the base..
let the Marked up price =100..
Selling price= 100-60%of 100=40..
profit= 20%..
therefore the wholesale purchase cost= x.... 1.2x=40
or x=33.33...
marked price was 100 so ...
so answer is 66.67%..
C
Answer: C
Question: A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Options:
A)10/21
B)10/29
C)10/20
D)10/22
E)10/24
Rationale: Explanation:
Total number of balls = (2 + 3 + 2) = 7.
Let S be the sample space.
Then, n(S) = Number of ways of drawing 2 balls out of 7 = = 21
Let E = Event of drawing 2 balls, none of which is blue.
n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls = = 10
Therefore, P(E) = n(E)/n(S) = 10/ 21.
Answer: A) 10/21
Answer: A
Question: Exactly 36% of the numbers in set Q are even multiples of 3. If 40% of the even integers in set Q are not multiples of 3, what percent of the numbers in set Q are not even integers?
Options:
A) 76%
B) 60%
C) 50%
D) 40%
E) 24%
Rationale: Everything is correct except the red part with a typo: it should be N=0.6Q --> even numbers are 60% of Q --> 40% of Q are not even integers.
Answer: D.
Answer: D
Question: If |x - 16| = 2x, then x=?
Options:
A)10
B)15
C)-16
D)16
E)5
Rationale: |x - 16| = 2x ...(given)
x^2 - 32x + 256 = 4x^2
3*x^2 + 32*x -256 = 0 ....(by solving above eq. we get) , x = -16 or 5.33 ===> Ans - C
Answer: C
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 17,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
Options:
A)8,500,148 kilometers squared
B)9,500,148 kilometers squared
C)7,500,148 kilometers squared
D)4,500,148 kilometers squared
E)1,500,148 kilometers squared
Rationale: the difference between the areas of Russia and China is given by
17,098,242 - 9,598,094 = 7,500,148 kilometers squared
correct answer C
Answer: C
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Options:
A)3630
B)8289
C)356E3
D)3778
E)838
Rationale: 6300:4200:10500
3:2:5
3/10 * 12100
= 3630
AnswerA
Answer: A
Question: 54671 - 14456 - 31466 = ?
Options:
A)2449
B)5449
C)8749
D)8449
E)6468
Rationale: C
If we calculate we will get 8749
Answer: C
Question: Insert the missing number
121, 112, ..., 97, 91, 86
Options:
A)102
B)108
C)99
D)104
E)114
Rationale: first and second number difference is starting from 9, and further decresed by 1 by each iteration.
121, 112, ..., 97, 91, 86....
Dfference between two numbers Will be as 9, 8, 7, 6, 5,...
ANSWER:D
Answer: D
Question: The distance between two stars is 2.5 × 10^5 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years)
Options:
A)5.5 × 10^3
B)3.3 × 10^4
C)7.7 × 10^4
D)9.9 × 10^5
E)1.1 × 10^6
Rationale: 2.5 × 10^5 ly / (3.26 ly/parsec) = (2.5/3.26) x 10^5 = 0.77 x 10^5 = 7.7 x 10^4 parsec
The answer is C.
Answer: C
Question: A can complete a work in 12days and B can do the same work in 6days. If A after doing 3days, leaves the work, find in how many days B will do the remaining work?
Options:
A)2 1/2days
B)4 1/2days
C)6 1/2days
D)7 1/2days
E)10 1/2days
Rationale: The required answer = (12-3)*6 / 12 = 54/12 = 4 1/2days
Answer is B
Answer: B
Question: Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
Options:
A)76%
B)86%
C)96%
D)56%
E)92%
Rationale: I II III
120 125 100
125----------120
100-----------? => 96%
Answer:C
Answer: C
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Options:
A)1288
B)1238
C)1200
D)1233
E)1234
Rationale: CP* (76/100) = 912
CP= 12 * 100 => CP
= 1200
Answer:C
Answer: C
Question: Paul earns $12000 an year from his job. His income increased and now makes $13500 an year. What is the percent increase?
Options:
A)25%
B)20%
C)15.5%
D)12.5%
E)10.5%
Rationale: Increase = (1500/12000)*100 = (1/8)*100 = 12.5%.
D
Answer: D
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Options:
A)56 hours
B)28 hours
C)55 hours
D)66 hours
E)47 hours
Rationale: 1/A + 1/B + 1/C = 1/8 (Given)
Also given that A = 2B and B = 2C
=> 1/2B + 1/B + 2/B = 1/8
=> (1 + 2 + 4)/2B = 1/8
=> 2B/7 = 8
=> B = 28 hours.
Answer: B
Answer: B