divelab/Sys2Bench huggingface dataset:
Question: If $2500 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
Options:
A)2500 (1.056)(3)
B)2500 (3+1.056)
C)2500 (1.056)^3
D)2500 (1+(0.056)^3)
E)2500 (1+3(0.056))
Rationale: the formula is CI=P(1+r/100)^t
in this case i think C is the ans
Answer: C
Question: The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
Options:
A)Rs. 8400
B)Rs. 8721
C)Rs. 8856
D)Rs. 8956
E)None of these
Rationale: Actual price = 95% of 90% of 85% of Rs. 12000
= 95/100 * 90/100 * 85/100 * 12000 = Rs. 8721.
ANSWER:B
Answer: B
Question: If 4⁄9 of 3⁄10 of 5⁄8 of a number is 45, what is the number?
Options:
A)450
B)550
C)560
D)650
E)None of these
Rationale: Number = 45×9×10×8/4×3×5⇒540
Answer E
Answer: E
Question: The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.1 kg. The weight of the new student is
Options:
A)22 kg
B)1 kg
C)22.4 kg
D)21 kg
E)None of these
Rationale: Exp . The total weight of 29 students = 29* 28
The total weight of 30 students = 30* 27.1
Weight of the new student = ( 30*27.1 – 29*28)
= 813 - 812 = 1
Answer:B
Answer: B
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Options:
A)13
B)12
C)16
D)18
E)19
Rationale: :
1/8 + 1/24 = 1/6
6 * 2 = 12.Answer:B
Answer: B
Question: If X boxes of apple juice cost 450 cents, how much will Y boxes cost in dollars?
Options:
A)Y*45/x
B)Y*4.5/x
C)Y*4.5/2x
D)2Y*4.5/x
E)Y*5/x
Rationale: X boxes of apple juice cost 450 cents or 4.5 dollars.
cost of apple juice = 4.5/x
Cost of Y apple juices = Y*4.5/x
Hence Answer : B
Answer: B
Question: In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:
Options:
A)8
B)7
C)6
D)5
E)4
Rationale: Let the number of cows be x and their legs be 4x.
Let the number of chicken be y and their legs be 2x.
Total number of legs = 4x + 2y.
Total number of heads = x + y.
The number of legs was 14 more than twice the number of heads.
Therefore, 2 × (x + y) + 14 = 4x + 2y.
or, 2x + 2y + 14 = 4x + 2y.
or, 2x + 14 = 4x [subtracting 2y from both sides].
or, 14 = 4x – 2x [subtracting 2x from both sides].
or, 14 = 2x.
or, x = 7 [dividing by 2 on both sides].
Therefore, the number of cows = 7.
Answer: B
Answer: B
Question: 18 : 12 seconds :: ? :6 minutes
Options:
A)10
B)9
C)20
D)25
E)30
Rationale: 18*6=12*x
x=9
ANSWER:B
Answer: B
Question: A cistern has three pipes, A, B and C. The pipes A and B can fill it in 8and 16 hours respectively and C can empty it in 12 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
Options:
A)6 AM
B)7 AM
C)8 AM
D)5 AM
E)4 AM
Rationale: 1 to 2 = 1/8
2 to 3 = 1/8 + 1/16 = 3/16
After 3 AM = 1/8 + 1/16 - 1/12 = 5/48
1/8 + 3/16 = 5/16
1 h ---- 5/48
? ----- 5/16
3hours ==> 6 AM
Answer:A
Answer: A
Question: If the price of a certain computer increased 30 percent from c dollars to 351 dollars, then 2c =
Options:
A)540
B)570
C)619
D)649
E)700
Rationale: Before Price increase Price = c
After 30% Price increase Price = c+(30/100)*c= 1.3c = 351 (Given)
i.e. c= 351/1.3 = $270
i.e. 2c = 2*270 = 540
Answer: option A
Answer: A
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Options:
A)loss of Rs. 200
B)loss of Rs. 100
C)profit of Rs. 100
D)profit of Rs. 200
E)None of these
Rationale: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.
ANSWER:D
Answer: D
Question: Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.
Options:
A)18
B)8
C)12
D)16
E)None of these
Rationale: 105 - 57 = 48
57 - 25 = 32
105 - 25 = 80
The H.C.F of 32, 48 and 80 is 16.
ANSWER:D
Answer: D
Question: [( 3.242 x 12 ) / 100] = ?
Options:
A)0.045388
B)4.5388
C)453.88
D)473.88
E)0.038904
Rationale: Answer
Multiplying 3.242 x 12=3.8904
Now divide 3.8904 by 100
So, 3.8904 ÷ 100= 0.038904
∴ Shift the decimal two places to the left as 100
Correct Option: E
Answer: E
Question: The average salary/head of allthe workers in a workshop is Rs.750, if the average salary/head of 5 technician is Rs.900 and the average salary/head of the rest is Rs.700, the total no. of workers in the work-shop is ?
Options:
A)18
B)20
C)22
D)24
E)26
Rationale: Let the total number of workers be y.So sum of salary for all workers = sum of salary of 5 technician + sum of salary for other y -5 workers.5 x 900 + 700(y -5) = 750 y⇒ 4500 + 700y - 3500 = 750y⇒ 50y = 1000∴ y = 20 So total number of workers = 20B
Answer: B
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly five hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the slower pump to fill the pool if it had worked alone at its constant rate?
Options:
A)8.5
B)10.5
C)12.5
D)14.5
E)16.5
Rationale: Let x be the rate of the slower pump. Then 1.5x is the rate of the faster pump.
Both pumps together can fill 1/5 of the pool each hour.
2.5x = 1/5
x = 1/12.5 = 2/25
The slower pump could fill the pool in 25/2 = 12.5 hours.
The answer is C.
Answer: C
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Options:
A)132
B)77
C)66
D)99
E)21
Rationale: 2 * 22/7 * 14 = 88
88 * 1 1/2 = Rs.132
Answer: A
Answer: A
Question: Three people have $34, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?
Options:
A)$72
B)$85
C)$98
D)$101
E)$102
Rationale: Solution -
Total money distributed is $204. In order to maximize median, one person has to accept $0 and remaining two people share $102 each. Hence median is $102.
ANS E
Answer: E
Question: How many 8's are there in the following number series which are exactly divisible by its immediately preceding and also exactly divisible by immediately succeeding numbers?
8 2 4 5 1 7 2 8 4 8 4 2 2 8 2 6 9 8 4 5 4 8 3 2 8 4 3 1 8 3
Options:
A)1
B)2
C)3
D)4
E)None of these
Rationale: 284
484
282
284
ANSWER:D
Answer: D
Question: A batsman in his 17th innings makes a score of 80 and their by increasing his average by 3. What is his average after the 17thinnings?
Options:
A)28
B)29
C)30
D)31
E)32
Rationale: 16x + 80 = 17(x + 3)
x = 27+3=30
ANSWER:C
Answer: C
Question: A rectangular table seats 6 people on each of two sides, with every person directly facing another person across the table. If twelve people choose their seats at random, what is probability that any two of them directly face other?
Options:
A)1/11
B)1/8
C)1/7
D)15/56
E)4/7
Rationale: A B C D E F
------------
| TABLE |
------------
G H I J K L
A to L are 12 people.
Prob to select any 1 person = 1
Prob to select the person opposite to the chosen person = 1/11
For ex. If we select A as the person than prob of choosing G is 1/11.
Hence, answer will be A.
Answer: A
Question: An item is being sold for $10 each. However, if a customer will “buy at least 3” they have a promo discount of 30%. Also, if a customer will “buy at least 10” items they will deduct an additional 8% to their “buy at least 3” promo price. If Sam buys 10 pcs of that item how much should he pay?
Options:
A)$92.00
B)$88.00
C)$87.04
D)$80.96
E)$65.00
Rationale: Without any discount Sam should pay 10*10=$100. Now, the overall discount would be slightly less than 38%, thus he must pay slightly more than $62.
Answer: E.
Answer: E
Question: m:n = 5: 8 , n: p = 6 : 7 , m:n:p = ?
Options:
A)30 : 48 : 54
B)30 : 48 : 56
C)30 : 48 : 50
D)30 : 48 : 52
E)30 : 48 : 58
Rationale: m:n = 5: 8
n: p = 6 : 7
m:n:p =30 : 48 : 56
Answer : B
Answer: B
Question: 9 speakers gathered to deliver speeches on two topics. Even though 9 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?
Options:
A)24
B)36
C)64
D)100
E)81
Rationale: 1)there are 9 speeches in ONE topic and 9 in OTHER..
2)there is a specific order for topics, so
a) both the topics are to be spoken on- so ONE from each
b) the order does not matter since there is ONLY one specific order..
so 9C1∗9C1=9∗9=81
ANSWER:E
Answer: E
Question: The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.16000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
Options:
A)20
B)21
C)35
D)23
E)24
Rationale: Solution
Let the toatl number of workers be x.
Then 8000x=(16000 x 7) + 6000 (x -7)
x= 35.
Answer C
Answer: C
Question: man can row upstream at 10 kmph and downstream at 20 kmph, and then find the speed of the man in still water?
Options:
A)5
B)20
C)30
D)25
E)15
Rationale: US = 10
DS = 20
M = (10 + 20)/2
= 15
Answer:E
Answer: E
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Options:
A)17 sec
B)18 sec
C)19 sec
D)20 sec
E)11 sec
Rationale: Relative speed
= (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other
= 120 + 280 = 400 m.
The time required
= d/s = 400/20
= 20 sec.
Answer: D
Answer: D
Question: If the number 451 * 623 is completely divisible by 9, then the smallest whole number in place of * will b
Options:
A)4
B)5
C)7
D)6
E)9
Rationale: Sum of digits = (4 + 5 + 1 + x + 6 + 2 + 3) = (21 + x), which must be divisible by 9.
x = 6.
D)
Answer: D
Question: Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 4, how many people got on at the first stop?
Options:
A)128
B)64
C)32
D)16
E)8
Rationale: 7 - > 1
6 - > 2
5 - > 4
4 - > 8
3 - > 16
2 - > 32
1 - > 64
because people get off after the first stop
=> the formula will be : 2^(n-1) where n is the stop number
in this case n = 4
=> 2^(4-1) = 2^3 = 8
=> answer is E
Answer: E
Question: Which of the following fractions Q has a decimal equivalent that is a terminating decimal?
Options:
A)10/189
B)15/196
C)16/225
D)25/144
E)39/128
Rationale: The fraction Q will terminate if and only if the denominator has prime divisors only 2 and 5 or both.
A. 10/189 = 10/(3*3*3*7) Non-term.
B. 15/196 = 15/(2*2*7*7) Non-term.
C. 16/225 = 16/(5*5*3*3) Non-term.
D. 25/144 = 25/(2*2*2*7) Non-term.
E. 39/128 = 39/(2^7) Terminatingbecause only 2 in denominator.
Answer: E
Question: Find the area of a parallelogram with base 24 cm and height 16 cm.
Options:
A)262 cm2
B)384 cm2
C)192 cm2
D)131 cm2
E)None of these
Rationale: Area of a parallelogram = base * height = 24 * 16 = 384 cm2
ANSWER:B
Answer: B
Question: A motorist travel to a place 150 km away at an average speed of 90 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is
Options:
A)36km/hr
B)37 km/hr
C)35 km/hr
D)45 km/hr
E)None of these
Rationale: Explanation:
Average speed will be
2xy/x+y km/hr
= {2(90)(30)}/{90+30} km/hr
= 45 km/hr
Answer: Option D
Answer: D
Question: Light glows for every 21 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
Options:
A)380 times
B)236 times
C)382 times
D)392 times
E)482 times
Rationale: Time difference is 1hr,22min,49sec=4969sec. So, light glows floor(4969/21)=236 times.
ANSWER:B
Answer: B
Question: A bag holds 2 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be green?
Options:
A)1/10
B)1/5
C)3/10
D)2/5
E)1/2
Rationale: Given: 2R and 3 G marbles
Required: Probability that 2 marbles removed without replacement are both red
Initially we have to pick one red from a total of 2 red and 3 green marbles
After one red has been picked, we need to pick 1 green from a total of 2 green and 2 red marbles.
P(Both green) = (3/5)*(2/4) = 3/10
Option C
Answer: C
Question: What will be the day of the week 15th August, 2010?
Options:
A)Thursday
B)Sunday
C)Monday
D)Saturday
E)None of these
Rationale: Explanation :
15th Aug 2010 = (2009 years + period from 1-Jan-2010 to 15-Aug-2010)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2009
= 7 normal years + 2 leap year
= 7 x 1 + 2 x 2 = 11 = (11 - 7x1) odd day = 4 odd day
Days from 1-Jan-2010 to 15-Aug-2010
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 31(may) + 30(Jun) + 31(Jul) + 15(Aug)
= 227
227 days = 32 weeks + 3 day = 3 odd day
Total number of odd days = (0 + 4 + 3) = 7 odd days = 0 odd day
0 odd day = Sunday
Hence 15th August, 2010 is Sunday
Answer : Option B
Answer: B
Question: A is twice as good workman as B, and together they complete a work in 10 days. In how many days can the work be complete by B alone?
Options:
A)35 days
B)30 days
C)45 days
D)75 days
E)95 days
Rationale: B=3A
30 days
B
Answer: B
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 20 ps per meter is?
Options:
A)s.122
B)s.129
C)s.125
D)s.95
E)s.121
Rationale: 3x * 2x = 3750 => x = 25
2(75 + 20) = 190 m
190 * 1/2 = Rs.95
Answer:D
Answer: D
Question: What will be the cost of building a fence around a square plot with area equal to 36 sq ft, if the price per foot of building the fence is Rs. 58?
Options:
A)3944
B)2882
C)2999
D)2667
E)1392
Rationale: Let the side of the square plot be a ft.
a2 = 36=> a = 6
Length of the fence = Perimeter of the plot = 4a = 24ft.
Cost of building the fence = 24 * 58 = Rs. 1392.
Answer: E
Answer: E
Question: 36 is divided in 2 parts such that 8 times the first part added to 3 times the second part makes 203. What is the first part?
Options:
A)15
B)19
C)23
D)24
E)25
Rationale: Explanation:
Let the first part be x.
8x + 3 (36 – x) = 203
8x + 108 – 3x = 203
5x + 108 = 203
5x = 95
x = 19
ANSWER: B
Answer: B
Question: A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 16 heads and 41 legs. How many cats does the ship host?
Options:
A)5
B)6
C)4
D)7
E)8
Rationale: sa's +co +ca +cats = 16. sa's + 1 +1 +cats =16 or sa's +cats =14.
sa's(2) +2 +1 +cats*4 =41 sa's*2 +cats*4 = 38 or sa's +cats*2 =19 or 14-cats +cat*2 =19
then cats =5
A
Answer: A
Question: A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for?
Options:
A)12 days
B)12 1/4 days
C)14 days
D)24 1/2 days
E)None of these
Rationale: Let total money be Rs. x
A's 1 day's wages=Rs.x/21, B's 1 day's wages=Rs.x/28
(A+B)'s 1 day's wages=Rs.(x/21+x/28)=Rs.x/12;
Money is sufficient to pay the wages of both for 12 days.
Correct Option: A
Answer: A
Question: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 6360, what is the length of the plot in metres?
Options:
A)70
B)200
C)300
D)400
E)140
Rationale: Let length of plot = L meters, then breadth = L - 20 meters
and perimeter = 2[L + L - 20] = [4L - 40] meters
[4L - 40] * 26.50 = 6360
[4L - 40] = 6360 / 26.50 = 240
4L = 280
L = 280/4= 70 meters. Answer: A
Answer: A
Question: A thief steels a car at 3p.m. and drives it at 20kmph. The theft is discovered at 4p.m. and the owner sets off in another car at 40 kmph. When will he overtake the thief?
Options:
A)9p.m.
B)9.30p.m.
C)5p.m.
D)6a.m.
E)10.15 p.m.
Rationale: Suppose the thief overtakes x hours after 6a.m.
Distance covered by the thief in x hrs = distance covered by the owner in (x-1 hours)
20x = 40(x-1)
20x = 40
x = 2 hrs
Thief is overtaken at 5p.m.
Answer is C
Answer: C
Question: In a partnership between A, B and C. A's capital is Rs.6000. If his share of a profit of Rs.700 is Rs.200 and C's share is Rs.130, what is B's capital?
Options:
A)Rs.11000
B)Rs.11600
C)Rs.11700
D)Rs.11100
E)Rs.11200
Rationale: 200 + 130 = 330
700 - 330 = 370
200 ---- 6000
370 ---- ? => 11100
ANSWER:D
Answer: D
Question: The speed at which a boy can row a boat in still water is 36 kmph. If he rows downstream, where the speed of current is 54 kmph, what time will he take to cover 750 metres?
Options:
A)29
B)30
C)32
D)34
E)36
Rationale: Speed of the boat downstream = 36 + 54 = 90 kmph
= 90 * 5/18 = 25 m/s
Hence time taken to cover 750 m = 750/25 = 30 seconds.
Answer: B
Answer: B
Question: If log√8 x = 3×1/3, find the value of x.
Options:
A)25
B)32
C)37
D)None of these
E)Cannot be determined
Rationale: Solution
log√8 x	= 10/3.
x	=( √8)10/3
=2( 3/2×10/3)
=2 5
= 32.
Answer B
Answer: B
Question: If sales tax is reduced from 5% to 4%, then what difference it will make if you purchase an item of
Rs. 1000
Options:
A)10
B)20
C)30
D)40
E)50
Rationale: Explanation:
Clue: Answer will be 5% of 1000 - 4% of 1000
Answer: Option A
Answer: A
Question: The measurements obtained for the interior dimensions of a rectangular box are 50 cm by 50 cm by 75cm. If each of the three measurements has an error of at most 1 centimeter, which of the following is the closes maximum possible difference, in cubic centimeters, between the actual capacity of the box and the capacity computed using these measurements?
Options:
A)12,000
B)13,000
C)14,000
D)10,000
E)15,000
Rationale: The options are well spread so we can approximate.
Changing the length by 1 cm results in change of the volume by 1*50*75 = 3750 cubic centimeters;
Changing the width by 1 cm results in change of the volume by 50*1*75 = 3750 cubic centimeters;
Changing the height by 1 cm results in change of the volume by 50*50*1 = 2500 cubic centimeters.
So, approximate maximum possible difference is 3750 + 3750 + 2500 = 10,000 cubic centimeters.
Answer: D.
Answer: D
Question: What is the remainder when 7^74 - 5^74 is divided by 8?
Options:
A)0
B)2
C)0
D)3
E)None of these
Rationale: easiest way for me: 7^74 - 5^74 = (49)^37-25^37 = (48+1)^37 - (24+1)^37 -> remainder is 1^37 - 1^37 = 0
Ans : C
Answer: C
Question: 7 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2 candidates. In how many ways can one cast his vote?
Options:
A)41
B)42
C)45
D)46
E)47
Rationale: There are 10 candidates and a voter has to vote for any two of them.
So, the required number of ways is,
= 10C2 = 45.
C
Answer: C
Question: The ratio of number of boys and girls in a school is 2:7. If there are 360 students in the school, find the number of girls in the school?
Options:
A)150
B)250
C)300
D)370
E)280
Rationale: Let the number of boys and girls be 2x and 7x
Total students = 360
Number of girls in the school = 7*360/9 = 280
Answer is E
Answer: E
Question: On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 2 cups of tea. Last week Mo drank a total of 16 cups of tea and hot chocolate together. If during that week Mo drank 4 more tea cups than hot chocolate cups, then how many rainy days were there last week?
Options:
A)6
B)3
C)4
D)5
E)2
Rationale: T= the number of cups of tea
C= the number of cups of hot chocolate
T+C = 16 T-C=4 -> T= 10. C=6.
Mo drinks 5 cups of tea a day then number of days that are not rainy = 10/2 = 5
So number of rainy days = 7-5 = 2
E is the answer.
Answer: E
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the circumference of the tire?
Options:
A)2
B)8
C)7
D)3
E)10
Rationale: 400 rev / minute = 400 * 60 rev / 60 minutes
= 24,000 rev / hour
24,000 * C = 72,000 m : C is the circumference
C = 3 meters
Answer: D
Question: If the length of the sides of two cubes are in the ratio 7:1, what is the ratio of their total surface area?
Options:
A)7:1
B)14:1
C)21:1
D)42:1
E)49:1
Rationale: Let x be the length of the small cube's side.
The total surface area of the small cube is 6x^2.
The total surface area of the large cube is 6(7x)^2=294x^2.
The ratio of surface areas is 49:1.
The answer is E.
Answer: E
Question: The food in a camp lasts for 40 men for 45 days. If ten more men join, how many days will the food last?
Options:
A)32days
B)34days
C)36days
D)38days
E)40days
Rationale: one man can consume the same food in 40*45 = 1800 days.
10 more men join, the total number of men = 50
The number of days the food will last = 1800/50 = 36 days.
Answer: C
Answer: C
Question: After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 3940 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ?
Options:
A)2160
B)2350
C)2000
D)2300
E)None of these
Rationale: Explanation :
Total Exp = 5000+1500+4500+2500+2000+3940 = 19440
Exp in % = 100-10 = 90%, 19440 = 90%
Saving = 10 % = 19440 X 10/90 = Rs. 2160
Answer : A
Answer: A
Question: A train passes a station platform in 33 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Options:
A)228
B)240
C)887
D)195
E)1811
Rationale: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/33 = 15 => x = 195 m.
Answer: D
Answer: D
Question: A tourist purchased a total of $1,600 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Options:
A)$1,430
B)$1,370
C)$1,290
D)$1,270
E)$1,150
Rationale: since total cashed checks = 7 ans $10 check cashed = one less or more than $50 checks
Therefore either $10 checks = 3 and $50 checks = 4 OR $10 checks = 4 and $50 checks = 3
using this information 1st option gives us the maximum cashed value therefore if we negate this value from total value we will get minimum value of which checks have lost
Therfore 1600 - 230 = 1370 hence answer is B
Answer: B
Question: A data set with a mean of 60 has a standard deviation of 1.5. Which of the following is the smallest number that falls within one standard deviation of the mean?
Options:
A)53
B)56
C)58
D)63.5
E)65
Rationale: One standard deviation of the mean is from{mean}-{deviation}=60-1.5=58.5 to{mean}+{deviation}=60+1.5=61.5. The smallest number within this range from the options is 58.
Answer: C.
Hope this helps.
Answer: C
Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the W odds that it is an ace?
Options:
A)1/52
B)1/26
C)1/13
D)1/4
E)5/13
Rationale: The question should ask about the probability not the odds.
There are 13 spades, the probability W that the spade we already have is an ace is therefore 1/13.
Answer: C.
Answer: C
Question: 2 numbers are there in the ratio 1:3. If 4 is to be added to both of the numbers the ratio will become 4:9 then find initial numbers?
Options:
A)6,7
B)6.7,20.1
C)5.6,13.7
D)12.6,15.3
E)4.6,18.6
Rationale: Let 2 numbers are x,3x
after adding 3 on both numbers x+4, 3x+4
x+4:3x+4 = 4:9
9(x+4) = 4(3x+4)
x = 6.7
Intial numbers = 3x,4x = 6.7,20.1
Answer is B
Answer: B
Question: Monisha are used to buy a video game for $40. Lately, these games were subject to 20% price increase. What is the new price of the video game?
Options:
A)$46
B)$47
C)$48
D)$49
E)$45
Rationale: Solution:
The price increase is 40 x 20/100 = $8
The new price is 40 + 8 = $48
Answer C
Answer: C