divelab/Sys2Bench huggingface dataset:
Question: A departmental store charges the commission of 25 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
Options:
A) $215,000
B) $165,000
C) $115,000
D) $240,000
E) $160,000
Rationale: 24,000 = 0.25 *(50000) + 0.10 (x - 50000)
24000 - 12500 = 0.10 (x-50000)
115000 = x - 50000
x = 1,65,000
Answer : B
Answer: B
Question: The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 30 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Options:
A)63%
B)40%
C)64.8%
D)70%
E)72%
Rationale: original price = 100
day 1 discount = 10%,price = 100-10 =90
day 2 discount = 10%,price = 90-9=81
day 3 discount = 30%,price = 81-24.3= 56.7
which is 56.7/90 *100 of the sale price on day 1= ~63%
Answer A
Answer: A
Question: A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 112 km downstream
Options:
A)3 hours
B)4 hours
C)5 hours
D)6 hours
E)7 hours
Rationale: Explanation:
Speed of the boat in still water = 24 km/hr
speed of the stream = 4 km/hr
Speed downstream = (22+5) = 28 km/hr
Distance travelled downstream = 112 km
Time taken = distance/speed = 112/28 = 4 hours
Answer: Option B
Answer: B
Question: Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
Options:
A)14
B)15
C)16
D)17
E)18
Rationale: Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then,	((6x + 6) + 4)/ ((5x + 6) + 4)	=	11/10
10(6x + 10) = 11(5x + 10)
5x = 10
x = 2.
Sagar's present age = (5x + 6) = 16 years.
ANSWERS : C
Answer: C
Question: The sum of five consecutive even numbers is 500. Find the middle number of the five?
Options:
A)140
B)66
C)100
D)99
E)120
Rationale: Middle number =500/5
=100
Ans C
Answer: C
Question: One vessel contains a mixture of 4 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 5 parts soda. Compare the strength of the wine.
Options:
A)35;36
B)10 : 9
C)7 : 4
D)14 : 5
E)None of these
Rationale: 4/7 : 9/14
LCM of 7,14 = 14
(5/7)*14: (9/14)*14
10:9
Answer is B.
Answer: B
Question: A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent W should the number of hours worked be increased?
Options:
A)12.5%
B)20%
C)25%
D)50%
E)100%
Rationale: Correct Answer: C
Solution: C. We can set up equations for income before and after the wage reduction. Initially, the employee earns W wage and works H hours per week. After the reduction, the employee earns .8W wage and works X hours. By setting these equations equal to each other, we can determine the increase in hours worked: WH = .8WX (divide both sides by .8W) 1.25H = X We know that the new number of hours worked W will be 25% greater than the original number. The answer is C.
Answer: C
Question: A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
Options:
A)3
B)4
C)5
D)6
E)78
Rationale: Work done by A and B in the first two hours, working alternately = First hour A + Second hour B = 1/4 + 1/12 = 1/3.
Total time required to complete the work = 2 * 3 = 6 days.Answer:D
Answer: D
Question: There are 21 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both.
How many are Bare Feet ?
Options:
A)1
B)2
C)4
D)5
E)7
Rationale: 12 kids wear socks
8 kids wear shoes
6 wear both.
12 â€“ 6 = 6 (wear only socks)
8 â€“ 6 = 2 (wear only shoes)
6 (wear both)
hence, 21 -14 = 7
7 kids are with bare feet.
E
Answer: E
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Options:
A)250
B)277
C)299
D)266
E)292
Rationale: CP1 = 100 SP1 = 90
CP2 = 80 SP2 = 80 * (140/100) = 112
22 ----- 100
55 ----- ? => Rs.250.Answer: A
Answer: A
Question: The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 70, then how long is the base of isosceles triangle?
Options:
A)15
B)20
C)25
D)30
E)35
Rationale: The base of the isosceles triangle is 70-20-20= 30 units
The answer is D.
Answer: D
Question: In a firm there are men and cows. In all, there are 21 heads and 64 feet. How many men and how many cows are in the firm?
Options:
A)8 men and 13 cows.
B)10 men and 11 cows.
C)6 men and 15 cows.
D)5 men and 16 cows.
E)11 men and 10 cows.
Rationale: 10 men and 11 cows.
Let M = men and C = cows. We can come up with 2 equations.
M + C = 21
2M + 4C= 64
Solving the 2 equations will give 10 men and 11 cows.
Answer B
Answer: B
Question: In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 80% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced Trigonometry student is selected?
Options:
A)8%
B)12%
C)16%
D)20%
E)24%
Rationale: Let x be the number of students in calculus.
Then the number of students in trigonometry is 1.5x
The number of students on beginner calculus is 0.8x
The number of students in beginner trigonometry is 4/5*(2.5x) - 0.8x = 1.2x
The number of students in advanced trigonometry is 0.3x
The percentage in advanced trigonometry is 0.3x / 2.5x = 12%
The answer is B.
Answer: B
Question: If a and b are different positive integers and a + b = a(a + b+1), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b
Options:
A)I only
B)II only
C)III only
D)I and II
E)I and III
Rationale: Number picking might not be the best way to solve MUST BE TRUE questions.
The question asks which of the followingMUSTbe true, or which of the following isALWAYStrue no matter what set of numbers you choose. For such kind of questionsif you can prove that a statement is NOT truefor one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.
So the set you chose just proves that II is not always true and hence it's not a part of a correct choice. As for I and III: they might be true for this particular set of numbers but not true for another set, so you can not say that I and III are always true just based on one set of numbers (it just happens to be that I and III are always true).
As forCOULD BE TRUEquestions:
The questions asking which of the followingCOULDbe true are different:if you can prove that a statement is truefor one particular set of numbers, it will mean that this statement could be true and hence is a correct answer.
C
Answer: C
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $450, what were her original savings?
Options:
A)$1500
B)$1600
C)$1700
D)$1800
E)$1900
Rationale: If Linda spent 3/4 of her savings on furnitute, the rest
4 / 4 - 3 / 4 = 1 / 4 on a TV
But the TV cost her $450. So 1 / 4 of her savings is $450. So her original savings are 4 times $450 = $1800
correct answer D
Answer: D
Question: A is thrice as good a work man as B and together they finish a piece of work in 16 days.The number of days taken by B alone to finish the work is :
Options:
A)64 days.
B)24 days.
C)52 days.
D)35 days.
E)28 days.
Rationale: Solution
(A’s 1 day’s work): (B’s 1 day’s work)= 3 : 1.
(A + B)'s 1 day’s work = 1/16
Divide 1/14 in the ratio 3 : 1.
∴ B’s 1 day’s work = (1/16 x1/4)= 1/64
Hence,B alone can finish the work in 64 days.
Answer A
Answer: A
Question: Sunil invested $ 2300 fir 3 years and $ 800 for 4 years at the same rate of Simple Interest. If the total interest from these investments is $ 1350, what is the rate of interest?
Options:
A)12 3/4%
B)15 1/3%
C)15 1/2%
D)16%
E)13 1/4%
Rationale: (2300x3xR)/100+(800x4xR)/100=1350
101R=1350
R= 13 1/4%
Answer is E
Answer: E
Question: A cylindrical water tower with radius 15 m and height 4 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank?
Options:
A)20 2/7
B)90 6/7
C)91
D)91 3/7
E)97
Rationale: initial volume = (3/4)×∏×15²×4= 675∏
Relative Drain/ min = .08∏ - .03∏ = .05∏ m³/min drain
Relative drain / hour = .05∏×60 = 3∏ m³/ hr
Every one hour starting from 1pm, 4∏ m³ of water is drained. It means that only at the hour the water is drained and NOT “in that 1 hour“
So after 1 hr the relative drain would be 3∏ + 4∏ = 7∏m³ of water drain
What i did initially was formed an equation 675∏ = 7∏×n (n is the number of hrs) so ended up with 96.42. This wrong
Look at this way
after 96 hrs the amount of water drain will be 96×7∏ = 672∏ m³
Left over water in the tank after 96 hrs = 3∏ m³
From above we know that it take 1 more hour to drain that 3∏ m³.
So ans is 97hrs
Answer: E
Question: The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
Options:
A)16
B)12
C)17
D)15
E)71
Rationale: 63 + 83 + 103 = a3
=> a = 12
Answer: B
Answer: B
Question: Thirty five percent of the portfolios managed by the Crocodile Brokers company (C.B.C.) hold Hatsopoulos stocks. Forty percent of the portfolios managed by C.B.C. hold McQuarrie stocks and do not hold Hatsopoulos stocks. Fifteen percent of the portfolios managed by C.B.C. hold Hatsopoulos stocks and do not hold McQuarrie stocks. What percent of the portfolios managed by C.B.C. do NOT hold McQuarrie stocks?
Options:
A)20
B)25
C)40
D)60
E)65
Rationale: H represent those portfolios holding Hatsopoulos stocks
M represent those portfolios holding McQuarrie stocks
35% hold H => z+x=35z+x=35
40% hold M and do not hold H => y = 40
15% hold H and not M => z = 15
We have , x = 20
x+y+z=20+40+15=75 x+y+z=20+40+15=75
There are 25% portfolios holding neither H nor M.
Portfolios that do not hold M = z+(neither H nor M)z+(neither H nor M)
= 15+25
=40
ANSWER:C
Answer: C
Question: The population of a town increased from 1,75,000 to 2,45,000 in a decade. The average percent increase of population per year is
Options:
A)4%
B)5%
C)6%
D)8.75%
E)None
Rationale: Solution
Increase in 10 years	= (245000 - 175000)
= 87500.
Increase%	= (70000/175000Ã—100)%
= 40%.
Required average	= (40/10)%
= 4%.
Answer A
Answer: A
Question: Find the value of x from the below equation? : 3x^2+5x+2 = 0
Options:
A)-1
B)-2
C)1
D)2
E)3
Rationale: a = 3, b = 5, c = 2
x1,2 = (-5 ± √(52 - 4×3×2)) / (2×3) = (-5 ± √(25-24)) / 6 = (-5 ± 1) / 6
x1 = (-5 + 1)/6 = -4/6 = -2/3
x2 = (-5 - 1)/6 = -6/6 = -1
A
Answer: A
Question: 3 candidates in an election and received 3000, 5000 and 20000 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
A)45.12%
B)50%
C)57%
D)71.42%
E)65%
Rationale: Total number of votes polled = (3000 + 5000 + 20000) = 28000
So, Required percentage = 11628/20400 * 100 = 71.42%
D
Answer: D
Question: C and D started a business by investing Rs.1000/- and Rs.1500/- respectively. Find the D’s share out of a total profit of Rs.500:
Options:
A)400
B)300
C)200
D)100
E)150
Rationale: C = Rs.1000/-
D = Rs.1500/-
C share 2 parts & D share 3 parts
Total 5 parts -----> Rs.500/-
----> 1 part -------> Rs.100/-
D share = 3 parts -----> Rs.300/-
D
Answer: D
Question: x varies inversely as square of y. Given that y=3 for x=1. The value of x for y = 7 will be equal to:
Options:
A)3
B)6
C)1/9
D)1/3
E)9/49
Rationale: Explanation :
Solution: Given x = k/y^2, where k is constant. Now, y=3 and x =1 gives k = 9.
.'. x = 9/y^2
=> x =9 /7^2 = 9/49
Answer : E
Answer: E
Question: Ayesha’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Options:
A)2 years
B)4 years
C)6 years
D)8 years
E)None
Rationale: EXPLANATION
Mother’s age when Ayesha’s brother was born = 36 years.
Father’s age when Ayesha’s brother was born = (38 + 4) years = 42 years.
Required difference = (42 – 36) years = 6 years.
Answer C
Answer: C
Question: If x,y and z are positive integers, and 30x=35y=42z, then which of the following must be divisible by 3?
I. x
II. y
III. z
Options:
A)I
B)II
C)III
D)I & III
E)I, II & III
Rationale: 30X=35y=42z
x=35y/30---now check whether x is divisible by 3--35y/30 is not divisible by 3
y=30X/35---divisible by 3
z=35y/42----not divisible by 3
hence y is only divisible by 3.
Answer:B
Answer: B
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 6 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Options:
A)13:1
B)13:3
C)13:8
D)13:5
E)13:2
Rationale: Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres
Quantity of alcohol in vessel Q = 87.5/100 * 6 = 21/4 litres
Quantity of alcohol in the mixture formed = 5/4 + 21/4 = 13/2 = 6.5 litres
As 8 litres of mixture is formed, ratio of alcohol and water in the mixture formed
= 6.5 : 1.5 = 13:3.
Answer: B
Answer: B
Question: The dairy condensed milk has only 20% water while the cow milk has 90% water. How many litres of milk maid will be obtained from 72 litres of milk?
Options:
A)2
B)7
C)6
D)9
E)8
Rationale: Explanation:
In this question, Pure milk in condensed milk = Pure milk in cow milk
80% (x) = 10% (72)
Therefore, x = 9 Liters.
Answer:D
Answer: D
Question: The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
Options:
A)399
B)665
C)998
D)2771
E)22
Rationale: 8 * 84 = 672 – 7
= 665
Answer:B
Answer: B
Question: A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, white,blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
Options:
A)12
B)15
C)21
D)36
E)28
Rationale: Since the order in which we select the socks does not matter (e.g., selecting a red sock and then a blue sock is the same outcome as selecting a blue sock and then a red sock), we can usecombinations.
We can select 2 socks from 8 socks in 8C2 ways.
8C2 = 28
Answer : E
Answer: E
Question: In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
Options:
A)234
B)255
C)278
D)289
E)290
Rationale: Andrew can select one or more than one of his 8 gang.
=> Required number of ways = 28 – 1= 255.
B
Answer: B
Question: 11 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
Options:
A)84 m
B)88 m
C)14 m
D)137 m
E)None
Rationale: Sol.
Let the length of the wire b h.
Radius = 1/2 mm = 1/20 cm. Then,
22/7 * 1/20 * 1/20 * h = 11 ⇔ = [11 * 20 * 20 * 7 / 22] = 1400cm = 14 m.
Answer C
Answer: C
Question: A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally q% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
Options:
A)100q/(1-q)
B)80q/(1-q)
C)75q/(1-q)
D)100q/(80-0.2q)
E)100q/(80+0.2q)
Rationale: We'll go for the ALTERNATIVE approach since there are variables in all the answers (which means that any number could work). Since the question deals with percents, the easiest number to use is X = 100. Now let's say that q = 10. Before the evaporation we had 10 pound of sugar and 90 pounds of water. Since only water evaporated, after the evaporation the 10 pounds of sugar remained the same, but the water reduced by 20% of 90 (18 pounds), so we have only 72 pounds of water. 10 out of 82 is the fraction of sugar, so if we multiply it by 100 we get the percents. The correct answer is E: 100q/(80+0.2q) >>> 100x10 / 82
Answer: E
Question: A man rows down stream 40 km and upstream 21 km taking 4 hrs each time. what is the velocity of current?
Options:
A)2.735 Kmph
B)2.375 kmph
C)2. 573 kmph
D)2 kmph
E)None of these
Rationale: Explanation:
Man's rate downstream = 40/4 = 10 Kmph
Man's rate upstream = 21/4 = 5.25 Kmph
Velocity of current = 1/2( 10 - 5.25)
= 2.375 Kmph
Answer: Option B
Answer: B
Question: If eight numbers are randomly selected without replacement from set {1, 2, 3, 4, 5, 6, 7, 8}, what is the probability that the numbers are selected in ascending order?
Options:
A)1/25600
B)1/36240
C)1/48360
D)1/24120
E)1/40320
Rationale: The total number of ways to arrange 8 numbers is 8! = 40320.
There is only one way to arrange the numbers in ascending order.
P(ascending order) = 1/40320
The answer is E.
Answer: E
Question: Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on friday. They were very happy. What day of the week would come on 14 Feb. 2010?
Options:
A)monday
B)tuesday
C)sunday
D)wednesday
E)thursday
Rationale: feb 14 2005 - friday
feb 14 2006 - saturday
feb 14 2007 - sunday
feb 14 2008 - monday
feb 14 2009 - wednesday[since 2008 is leap year , 2 days ll go forward]
feb 14 2010 - thursday
ANSWER:E
Answer: E
Question: Due to construction, the speed limit along an 10-mile section of highway is reduced from 55 miles per hour to 20 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Options:
A)A) 6.24
B)B) 8
C)C) 10
D)D) 19.1
E)E) 24
Rationale: Old time in minutes to cross 10 miles stretch = 10*60/55 = 10*12/11 = 10.9
New time in minutes to cross 10 miles stretch = 10*60/20 = 10*3 = 30
Time difference = 19.1
Ans:D
Answer: D
Question: In how many ways can 5 boys and 2girls be arranged at a table if 2girls are never together?
Options:
A)329
B)350
C)378
D)390
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: A car covers a distance of 624 km in 3 hours. Find its speed?
Options:
A)104
B)277
C)298
D)269
E)208
Rationale: 624/3 = 208 kmph
Answer:E
Answer: E
Question: A and B can do a piece of work in 50 days and 50 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?
Options:
A)30days
B)35days
C)40days
D)44days
E)45days
Rationale: Explanation:
(A+B)’s 10 days work = 10[1/50+1/50]=10[1+1/50]= 2/5
A complete remaining work in 2/5*50 = 20
Total work = 10+20= 30days
Answer: Option A
Answer: A
Question: Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements E.
Options:
A)a) E=48
B)b) E=144
C)c) E=240
D)d) 288
E)e) 120
Rationale: One specific boy is seated to either of end seat, lets call him b1
One specific girl is seated in the middle, lets call her g1
Note the question says *specific girl* and *specific boy*, so we do not consider for example the other girl , g2, being seated on seat #4. Same goes with the specific boy, b1.
b1 can be seated 2 different seats : 2!
g1 is seated on the seat #4, fixed (no other alternative) : 1
the remaining 5 seats can be filled with the remaining people b2,b3,g2,w1,w2: 5!
2! x 1 x 5! = 240
Answer C
Answer: C
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of?
Options:
A)600km/hr
B)720km/hr
C)710km/hr
D)510km/hr
E)480km/hr
Rationale: Distance = 240*5 = 1200 km
Required speed = 1200 * 3/5 = 720km/hr
Answer is B
Answer: B
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 30
Options:
A)11
B)13
C)15
D)17
E)18
Rationale: P Ã· 44 = 432
=> P = 432 * 44 = 19008
P / 30 = 19008 / 30 = 633, remainder = 18
E
Answer: E
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 8 women and 12 children take to complete the work?
Options:
A)4
B)5
C)7
D)8
E)2
Rationale: 1 women's 1 day work = 1/70
1 child's 1 day work = 1/140
(8 women + 12 children)'s 1 day work
= (8/70 + 12/140) = 1/5
8 women and 4 children will complete the work in 5 days.
B
Answer: B
Question: In a kilometer race, A beats B by 40 meters or 10 seconds. What time does A take to complete the race?
Options:
A)180 sec
B)190 sec
C)290 sec
D)490 sec
E)240 sec
Rationale: Time taken by B run 1000 meters = (1000 * 10)/40
= 250 sec.
Time taken by A = 250 - 10
= 240 sec.
Answer:E
Answer: E
Question: If d is the standard deviation x, y, and z, what is the standard deviation of x +3, y + 3, z + 3 ?
Options:
A)3d
B)3d+3
C)d
D)3d+9
E)3d-3
Rationale: CONCEPT: Standard Deviation is Defined as Average Deviation of Terms in the set from the Mean value of the set. i.e.
1) It depends on the separation between the successive terms of the set
2) If a Constant Value is Added/Subtracted in every terms of set then the Separation between successive terms does NOT change Hence S.D. remains Constant
e.g.{1, 2, 3, 4, 5} will have same standard Deviation as {1+10, 2+10, 3+10, 4+10, 5+10}
3) If a Constant Value is Multiplied in every terms then the Separation between succesive terms gets multiplied by the constant Hence S.D. remains gets multiplied by same Number
e.g. {0.7, 1.4, 2.1, 2.8, 3.5} will have Standard Deviation = 0.7* Standard deviation of set {1, 2, 3, 4, 5}
When 3 is added in each term of set {x, y, z} then the new set {x+3, y+3, z+3} will remain same as the previous standard deviation i.e. d
Answer: C
Answer: C
Question: Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 30 years. What is Molly's age right now?
Options:
A)12
B)14
C)16
D)18
E)20
Rationale: Now, Sandy is 30 - 6 = 24
Molly's age is (3/4) * 24 = 18
The answer is D.
Answer: D
Question: A person lent a certain sum of money at 6% per annum at simple interest and in 8 years the interest amounted to $572 less than the sum lent. What was the sum lent?
Options:
A)1000
B)1100
C)1200
D)1300
E)1400
Rationale: P - 572 = (P*6*8)/100
P = 1100
The answer is B.
Answer: B
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, What is the the speed of the first train?
Options:
A)87.0
B)87.5
C)87.2
D)87.1
E)87.4
Rationale: Speed and time are inversely proportional (when distance is constant) ⇒Speed ∝ 1Time (when distance is constant)
Here distance is constant and hence speed and time are inversely proportionalSpeed ∝ 1Time⇒Speed1Speed2=Time2Time1⇒78=4Time1⇒Time1 = 4×87 hr⇒Speed of the first train = DistanceTime1=400(4×87)=100×78=12.5×7=87.5 km/hr
Answer :B
Answer: B
Question: The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 20 kmph?
Options:
A)21.21
B)20.25
C)32.25
D)75.75
E)62.61
Rationale: distance covered in 1 min=(20*1000)/60=333.33m
circumference of the wheel=(2*(22/7)*.70)=4.4m
no of revolution per min=333.33/4.4=75.75
ANSWER:D
Answer: D
Question: 6, 11, 21, 36, 56, ?
Options:
A)51
B)71
C)81
D)61
E)91
Rationale: The pattern is + 5, + 10, + 15, + 20,....
Answer : C.
Answer: C