divelab/Sys2Bench huggingface dataset:
Question: Yesterday's closing prices of 1,980 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?
Options:
A) 484
B) 1080
C) 1,100
D) 1,320
E) 1,694
Rationale: Lets consider the below -
The number of stocks that closed at a higher price = H
The number of stocks that closed at a lower price = L
We understand from first statement -> H+L = 1980 ----(1)
We understand from second statement -> H = (120/100)L => H = 1.2L ----(2)
Solve eq (1)(2) to get H = 1080.
B is my answer.
Answer: B
Question: On a weekend, 3 friends went skiing and evenly split the cost of their cabin. If the amount paid by each person was an integer, which of the following could not have been the cost of the cabin?
Options:
A)$110
B)$150
C)$225
D)$54
E)$75
Rationale: Each of the seven persons evenly splitting the cost is an integer amount, therefore check the divisibility by 3 for all answer choices.
110/3 = 36.67
150/3 = 50
225/3 = 75
54/3 = 18
75/3 = 25
A is not an integer amount.
Answer:A
Answer: A
Question: P and Q started a business investing Rs. 85,000 and Rs. 20,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Options:
A)17:6
B)17:0
C)17:4
D)17:2
E)17:3
Rationale: P:Q = 85000 : 20000
= 17:4.
Answer: C
Answer: C
Question: For all numbers m and n, the operation @ is defined by m@n = m^2 - mn. If xy ≠ 0, then which of the following can be equal to zero?
I. x@y
II. (xy)@y
III. x@(x + y)
Options:
A)II
B)I and II
C)I and III
D)II and III
E)All of the above
Rationale: m@n = m^2 - mn=m(m-n).... so m@n will be zero if m=n or m=0.. but a cannot be equal to 0.. as per Q, x and y can take any int value except 0...
now lets look at the choices..
when x=y, it will be 0... so ok...
when we put xy=y, it is possible when x=1 and y any integer... so ok again
when we put x=x+y.... only possibility when y=0 and it is given x and y cannot be 0....so not possible
only l and ll possible
answer:B
Answer: B
Question: If x = 3 and y = 2, what is the value of 5(x-y)^2 - xy ?
Options:
A)-8
B)-7
C)-1
D)-2
E)-5
Rationale: x = 3 and y = 2
x-y = 3 - 2 = 1
x*y = 3 * 2 = 6
Now we apply it in the equation 5(x-y)^2 - xy =5 (1)^2-6
==>5*1 -6 = 5-6 =-1
Answer : C
Answer: C
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Options:
A)9:36
B)9:31
C)9:35
D)9:37
E)9:32
Rationale: 1/4 : 3/4 = (1:3)5 = 5:15
1/5 : 4/5 = (1:4)4 = 4:16
------
9:31
Answer: B
Answer: B
Question: If Henry were to add 8 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?
Options:
A)25
B)40
C)64
D)80
E)96
Rationale: 7/8x-3/4x=8galls
1/8*x=8gallons
x=64 gallons
Answer C
Answer: C
Question: a dealer buys 4 varieties of rice costing rs. 30,rs.40,rs.60 and rs.80 per kg in the ratio 4:5:4:3 and mixes all the four varieties and sells at 30% profit. What is the selling price per kg of rice?
Options:
A)62
B)65
C)66
D)67
E)69
Rationale: CP = 30*4+40*5+60*4+80*3=800
SP = 1.3*800=1040
Total no.of kgs=4+5+4+3=16
SP per kg=1040/16=65
ANSWER:B
Answer: B
Question: A primitive village follows a strange custom. They have babies only to have a boy. Whenever a boy is born in a family, they stop having babies and whenever a girl is born, they have a baby again and again till a boy is born.
The probability of having a boy is same as the probability of having a girl. What will be the proportion of boys to girls in the village after some time?
Options:
A)1:1
B)1:2
C)1:3
D)1:4
E)1:5
Rationale: A
1:1 (approx)
We know that the probability of having a boy or having a girl is same and thus, half of the couples will stop after having a boy child. Half of the others will have a girl and will have a baby again. Out of those half of the couples, half will have a boy and will stop and half will have a girl again. This will keep on going like this.
Now, if there are X number of couples, there will be X boys.
1/2 have a boy and stop: 0 girls
1/4 have a girl, then a boy: X/4 girls
1/8 have 2 girls, then a boy: 2*X/8 girls
1/16 have 3 girls, then a boy: 3*X/16 girls
1/32 have 4 girls, then a boy: 4*X/32 girls
…
Total: X boys and
1X 2X 3X 4X
– + – + – + — +… = ~X
Answer: A
Question: (3x + 2) (2x - 1) = ax^2 + kx + n . What is the value of a - n + k ?
Options:
A)5
B)8
C)9
D)10
E)11
Rationale: Expanding we have 6x^2 - 3x + 4x -2
6x^2 + x - 2
Taking coefficients, a = 6, k= 1, n = -2
Therefore a - n + k = 6 - (-2) +1 = 8 + 1 = 9
The answer is C.
Answer: C
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 1.5% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Options:
A)2.04%
B)6.12%
C)8%
D)8.25%
E)10%
Rationale: If the interest were compounded annually instead of quarterly then in one year the interest would be 1.5*4=6%. Now, since the interest is compounded quarterly then there would be interest earned on interest (very small amount) thus the actual interest would be a little bit more than 6%.
Answer: B.
Answer: B
Question: 48.95-32.006=?
Options:
A)16.089
B)16.35
C)16.89
D)16.944
E)None of them
Rationale: 48.950
- 32.006
---------
16.944
Answer is D
Answer: D
Question: Joe bought a coffee maker for a 25% off the original price. If the coffee maker cost him $61.35, what is the original selling price of the coffee maker?
Options:
A)$76.69
B)$107.36
C)$83.45
D)$79.80
E)None of these.
Rationale: Explanation:CP of Joe is 25% of the Original SP.:. Original SP = $61.35x100/75 = $81.80.Answer: Option E.
Answer: E
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Options:
A)227
B)299
C)276
D)750
E)211
Rationale: Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 25 è x = 25 * 60 / 2 = 750
Answer: D
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Options:
A)120 metres
B)180 metres
C)324 metres
D)150 metres
E)180 metres
Rationale: Speed=(60 x 5/18)/m/sec	=	50/3	m/sec.
Length of the train = (Speed x Time).
Length of the train =	50 x 9/3 m = 150 m.
ANSWER : OPTION D
Answer: D
Question: On Saturday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up X percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of X?
Options:
A)20%
B)30%
C)33 1⁄3%
D)40%
E)50%
Rationale: Let the original price be 100
discounted Price = 80
New Price = 20 +100 =120
X=(40/80)*100
Ans:E
Answer: E
Question: At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 20 other employees of Company K, how many employees does Company K have?
Options:
A) 80
B) 180
C) 190
D) 200
E) 400
Rationale: Let the total number of employees in the company be x
% of secretaries = 15%
% of salespeople = 60%
% of of employees other than secretaries and salespeople = 100 - 75 = 25%
But this number is given as 20
so 25% of x = 20
x = 80
Therefore there a total of 80 employees in the company K
Correct answer - A
Answer: A
Question: What is the angle between the two hands of a clock when time is 8:30
Options:
A)15 degree
B)45 degree
C)55 degree
D)75 degree
E)65 degree
Rationale: Use the formula i.e
1/2(60h-11m) // h-hour and m-minute
1/2(60*8-11*30)
1/2(150)
75 degree
ANSWER:D
Answer: D
Question: During a sale, the price of a pair of shoes is marked down 12% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Options:
A)9%
B)10%
C)11%
D)14%
E)90%
Rationale: Assume the price = 100
Price during sale = 88
Price after sale = 100
Percent increase = 12/88*100 = 14% approx.
Correct Option: D
Answer: D
Question: In how many ways can 5 boys be allotted four different wadrobe such that none of the wadrobe are empty and all the 5 boys are accommodated?
Options:
A)300
B)290
C)240
D)260
E)280
Rationale: 4 boys can be selected from 5 boys in 5C4 ways = 5
4 boys can be arranged in 4 rooms in 4! ways
and since 1 boy has to share a room with one of the 4 boys, therefore total ways = 2! = 2
Hence total number of ways in which allocation can be done = 5C4 * 4! * 2! = 5*2*4! =240
C
Answer: C
Question: What is the remainder when 8^1 + 8^2 + 8^3 +...+ 8^9 is divided by 2?
Options:
A)4
B)3
C)2
D)None of the above
E)5
Rationale: Notice that in the brackets we have the sum of 9 even multiples of 2, which yields remainder of 0 upon division by 2.
Answer : D
Answer: D
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Options:
A)150
B)100
C)110
D)140
E)130
Rationale: B
A can give B (5 min - 4 1/2 min) = 30 sec start.
The distance covered by B in 5 min = 1000 m.
Distance covered in 30 sec = (1000 * 30)/300 = 100 m.
A can give B 100 m start.
Answer: B
Question: Bruce purchased 8kg of grapes at the rate of 70 per kg and 8 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Options:
A)A)1040
B)B)1050
C)C)1000
D)D)1065
E)E)1075
Rationale: Cost of 8 kg grapes = 70 × 8 = 560.
Cost of 8 kg of mangoes = 55 × 8 = 440.
Total cost he has to pay = 560 + 440 = 1000
C
Answer: C
Question: A certain pair of used shoes can be repaired for $10.50 and will last for 1 year. A pair of the same kind of shoes can be purchased new for $30.00 and will last for 2 years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?
Options:
A)42.85
B)44
C)48
D)38
E)40
Rationale: 1) Cost of repairing = 10.5 ( for one year ), Therefore for 2 years it would be$ 21.
2) Cost of new pair which will last for 2 years is$ 30.00
Percentage change formula =( Final value - Initial value ) / ( Initial Value ) * 100. In this case the final value would be the price of new shoe initial value would be the cost of repairing the old shoe.
I.e (30 - 21 ) / ( 21 ) * 100 = 42.85 %.
Ans is A
Answer: A
Question: Sujit incurred a loss of 45% on selling an article for Rs.3630/-. What was the cost price of the article?
Options:
A)Rs.5725/-
B)Rs.6600/-
C)Rs.6250/-
D)Rs.6750/-
E)None of these
Rationale: Explanation:
45% loss means SP of Rs.3630/- is 55% of CP
:. CP = 3630x100/55 = Rs.6600/-
Answer: Option B
Answer: B
Question: AF + CD = AAA, where AF and CD are two-digit numbers and AAA is a three digit number; A, F, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Options:
A) 1
B) 3
C) 7
D) 9
E) Cannot be determined
Rationale: Since AF and CD are two-digit integers, their sum can give us only one three digit integer of a kind of AAA: 111.
So, A=1 and we have 1F+CD=111
Now, C can not be less than 9, because no two-digit integer with first digit 1 (1F<20) can be added to two-digit integer less than 90, so that to have the sum 111 (if CD<90, so if C<9, CD+1F<111).
Hence C=9.
Answer: D.
Answer: D
Question: A volume of 10996 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
Options:
A)2812
B)8231
C)2734
D)4222
E)2749
Rationale: a volume of 4l can be kept in 1 hemisphere
therefore, a volume of 10996l can be kept in (10996/4) hemispheres
ans.2749
ANSWER:E
Answer: E
Question: In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 45° of the chart, how much of the Roberts’s $20,000 annual budget is dedicated to clothes and shoes?
Options:
A)$2,500
B)$3,000
C)$4,500
D)$5,000
E)$5,400
Rationale: Given for clothes and shoes” takes up 45° of the circular chart.
Then clothes and shoes = 45/360 * 20000.
=> 2500.
IMO option A is correct answer...
Answer: A
Question: In what time will a train 300 meters long cross an electric pole, if its speed is 90 km/hr
Options:
A)5 seconds
B)12 seconds
C)3 seconds
D)2.5 seconds
E)None of these
Rationale: Explanation:
First convert speed into m/sec
Speed = 90*(5/18) = 25 m/sec
Time = Distance/speed
= 300/25 = 12 seconds
Answer: B
Answer: B
Question: A river 3m deep and 55 m wide is flowing at the rate of 1 kmph the amount of water that runs into the sea per minute is?
Options:
A)2338.9
B)2748.9
C)2148.9
D)2745.9
E)2718.9
Rationale: Rate of water flow-1kmph--1000/60--16.66 m/min
depth of river--3m
width of river--55m
vol of water per min--16.66 *3*55---2748.9
Answer B
Answer: B
Question: For a light that has an intensity of 60 candles at its source, the intensity in candles, S, of the light at a point d d feet from the source is given by the formula S=60k/d^2 60, where k is a constant. If the intensity of the light is 30 candles at a distance of 2 feet from the source, what is the intensity of the light at a distance of 10 feet from the source?
Options:
A)3/10 candles
B)1/2 candles
C)1 1/3 candles
D)6/5 candles
E)3 candles
Rationale: ANS = 3/10
S= 60k/d^2
At 2 feet
30 = 60k/4 so k = 2
At 10 feet
S = 60 *2/10^2 = 6/5
D
Answer: D
Question: A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
Options:
A)17
B)22
C)58
D)2
E)69
Rationale: Explanation:
Quantity of milk in the mixture = 90/100 (70) = 63 litres.
After adding water, milk would form 87 1/2% of the mixture.
Hence, if quantity of mixture after adding x liters of water, (87 1/2) / 100 x = 63 => x = 72
Hence 72 - 70 = 2 litres of water must be added
Answer:D
Answer: D
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.7000. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Options:
A)s. 375
B)s. 400
C)s. 600
D)s. 800
E)s. 875
Rationale: C's 1 day's work = 1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24
A's wages : B's wages : C's wages = 1/6 : 1/8 : 1/24 = 4: 3 : 1
C's share (for 3 days) = Rs.	(3 * 1/24 * 7000) =Rs.875
Answer = E
Answer: E
Question: Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 34 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?
Options:
A)3
B)4
C)5
D)6
E)8
Rationale: Total Distance = 34 kms
Maxwell Speed = 4 kms/hr
Maxwell travelled for 1hour before Brad started , therefore Maxwell traveled for 4 kms in 1 hour.
Time taken = Total Distance / Relative Speed
Total Distance after Brad started = 30 kms
Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4 = 10 kms/hr
Time taken to meet Brad after Brad Started = 30 / 10 = 3 hrs
Distance traveled by Maxwell = Maxwell's speed * time taken = 4 * 3 = 12+4 = 16 kms...
Therefore Total Time taken by Maxwell to meet Brad = Distance travelled by Maxwell / Maxwell's Speed = 16 /4 = 4 hrs ... Answer B
Answer: B
Question: If (1+a)y=y, which of the following must be true?
Options:
A)a=-1 or y=0
B)a=0 or y=0
C)a=1 or y=1
D)a=-1 or y=-1
E)a=0 or y=1
Rationale: We have (1+a)y=y.
If a=0, y=y. True
If y=0, (1+a)*0=0 True
So, B will be the answer.
Answer: B
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
Options:
A)8
B)9
C)6
D)4
E)2
Rationale: 2x * x = 128 => x
= 8
Answer: A
Answer: A
Question: A woman sold 200 oranges at $12.10, some at the rate of 3 for 35 cents and the rest at 4 for 85 cents. How many were sold at the first rate?
Options:
A)45
B)21
C)9
D)15
E)12
Rationale: This can be solved like a classical mixture problem but numbers are awkward to deal with.
It's easier to just look at the answer choices. You know that a multiple of 3 oranges has to be sold at the first rate, and a multiple of 4 at the second rate. You simple subtract the answer choices for the first rate from 100 and check whether the remainder (i.e. the number of oranges sold at the second rate) is a multiple of 4.
200 - 45 = 155 => not a multiple of 4 so exclude
200 - 21 = 179 => not a multiple of 4 so exclude
200 -9 = 191 => not a multiple of 4 so exclude
200 - 15 = 185 => not a multiple of 4 so exclude
200 - 12 = 188 => a multiple of 4 so keep
Hence, answer choice 12 is correct.
E
Answer: E
Question: What will come in place of the x in the following Number series? 75, 225, x, 2025, 6075
Options:
A)675
B)752
C)300
D)400
E)1200
Rationale: (A)
25 x 3 = 75, 75 x 3 = 225 , 225 x 3 = 675, 1675 x 4 = 2025.
Answer: A
Question: Graph G has a line of symmetry of x = –5/2. Graph G passes through the point (2, 2). What is the x-coordinate of another point that must have a y-coordinate of 2?
Options:
A) –8
B) –7
C) –5
D) –4
E) 2
Rationale: Line of symmetry is X=-2.5; one point is (2,2)
Right side distance =2.5+2(distance from origin) = 4.5; therefore Left side distance should be same from line of symmetry =4.5;
therefore left side co-ordinate=4.5+ 2.5(distance from origin) =7; as the X coordinate is in 2nd quadrant hence -7
Therefore answer is B
Answer: B
Question: There are 30 socks in a bag. 30% is in blue color. What is the probability to take two blue socks?
Options:
A)11/145
B)12/145
C)13/145
D)14/145
E)22/145
Rationale: out of 30% 30 socks are blue => out of 30 9 socks are blue in color.
probability of selecting two blue socks out of 9 socks is 9C2.
so the required answer is :
(probability of selecting two blue socks out of 9 socks) /(Probability of selecting 2 socks out of 30 socks)
=> (9C2) / (30C2)
=> 36 / 435
=> 12/145
ANSWER:B
Answer: B
Question: A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent R of the cost would the gross profit on the item have been if it had been sold without the discount?
Options:
A)20%
B)40%
C)50%
D)60%
E)75%
Rationale: Let the Market Price of the product is MP.
Let the Original Cost Price of the product is CP.
Selling Price (Discounted Price) = 100%of MP - 20%MP
= 80% of MP. ---------------- (1)
Profit made by selling at discounted price = 20% of CP -------------- (2)
Apply the formula:
Profit R= Selling Price - Original Cost Price
=> 20% of CP = 80% of MP - 100% CP
=> MP = 120CP/80 = 3/2 (CP)
Now if Product is sold without any discount, then,
Profit = Selling Price (without discount) - Original Cost Price
= Market Price - Original Cost Price
= MP - CP
= 3/2 CP - CP
= 1/2 CP
=50%of CP
Thus, Answer should beC.
Answer: C
Question: One train is traveling 54 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
Options:
A)5:4
B)3:2
C)5:0
D)5:4
E)5:1
Rationale: 54 * 5/18 = 10
15:10 => 3:2
Answer: B
Answer: B
Question: How many ways are there to award a gold, silver and bronze medal to 14 contending teams?
Options:
A)14 x 13 x 12
B)10!/(3!7!)
C)10!/3!
D)360
E)300
Rationale: we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 14 ways
if gold medal is given to 1 of the teams then only possible 13 teams can be considered for silver medal. we can do selection in 13 ways
similarly if gold and silver medals are awarded then only remaining 12 teams can be considered for a bronze medal. we can do the selection in 12 ways
Total number of ways to select the 3 possible medal winners = 14 * 13 * 12
Correct answer - A
Answer: A
Question: On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 36 miles on Saturday and Sunday, how many miles did Bill run on Sunday?
Options:
A)5
B)6
C)7
D)8
E)10
Rationale: Let Bill run x on saturday, so he will run x+4 on sunday..
Julia will run 2*(x+4) on sunday..
totai= x+x+4+2x+8=36..
4x+12=36..
x=6..
ans =x+4=6+4=10
Answer E
Answer: E
Question: The length, breadth and height of a room are in the ratio 3:2:1. If the breadth and height are halved, while the length is doubled. Then the total area of the 4 walls of the room will be decreased by
Options:
A)33
B)30
C)88
D)22
E)11
Rationale: Given l:b:h=3:2:1
let h=10, b = 20, and l = 30
area = 2(l+b)h2(l+b)h
area= 2*(3x+2x)*x = 2(30+20)10=10002(30+20)10=1000
Now after those adjustments in the measurements,
l=60, b=10, h=5
area= 2(l+b)h2(l+b)h = 2(60+10)5=7002(60+10)5=700
Percentage decrease= 1000−7001000×1000=30%
Answer:B
Answer: B
Question: In a recent election, Geoff received 0.5 percent of the 5,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 2,571 more votes to win the election, what is the value of x ?
Options:
A) 50
B) 54
C) 52
D) 60
E) 63
Rationale: Word problems are tricky in somehow more than other problem because you have the additional step to translate.
Breaking the problem: Geoff how many votes he receives ?? 25 votes
he needs 2571 more votes so : 25+2571= 2596
Now what's the problem wants ?? a x %........2596 is what % of total votes 5000........translating: 2596 = x/100 * 5000 ---
x= 52 %..........C
Answer: C
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 45 kmph when will the owner over take the thief from the start?
Options:
A)A)2
B)B)5
C)C)7
D)D)4
E)E)8
Rationale: Explanation:
|-----------20--------------------|
45 40
D = 20
RS = 45– 40 = 5
T = 20/5 = 4 hours
Answer: Option D
Answer: D
Question: Jenna rode her bike to school at 5 kph, but rode home at 15 kph. What was her average speed traveling to and from school?
Options:
A)5 kph
B)7 kph
C)10 kph
D)13 kph
E)15 kph
Rationale: (5 kph +15 kph)/2 =10 kph
Correct answer is: C
Answer: C
Question: If x = 1- 3t and y = 2t - 3, then for what value of t does x = y?
Options:
A) 5/2
B) 3/2
C) 4/5
D) 2/5
E) 0
Rationale: We are given x = 1 – 3t and y = 2t – 3, and we need to determine the value for t when x = y. We should notice that both x and y are already in terms of t. Thus, we can substitute 1 – 3t for x and 2t – 3 for y in the equation x = y. This gives us:
1 – 3t = 2t – 3
4 = 5t
4/5 = t
The answer is C.
Answer: C
Question: Bhanu spends 30% of his income on petrol on scooter 10% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?
Options:
A)2287
B)70
C)128
D)797
E)120
Rationale: Given 30% (Income ) = 300 ⇒⇒ Income = 1000
After having spent Rs.300 on petrol, he left with Rs.700.
His spending on house rent = 10% (700) = Rs.70
Answer:B
Answer: B
Question: A letter lock consists of three rings each marked with nine different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Options:
A)277
B)269
C)728
D)768
E)720
Rationale: Since each ring consists of nine different letters, the total number of attempts possible with the three rings is
= 9 * 9 * 9 = 729. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts = 729 - 1
= 728
Answer:C
Answer: C
Question: he population of a city is 150,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
A)1697787
B)1697723
C)168540
D)169728
E)169718
Rationale: Population after n years = P [1 + (R/100)]2
Population after 2 years = 150000 * [1 + 6/100]2 = (150000 x 53/50 x 53/50) = 168540
ANSWER: C
Answer: C