divelab/Sys2Bench huggingface dataset:
Question: In a rectangular box measuring 12 inches by 14 inches by 16 inches if small rectangular boxes measuring 3 inches by 7 inches by 2 inches are arranged in it, what is the max number of boxes that fit into it?
Options:
A)23
B)32
C)44
D)15
E)64
Rationale: The 3 inch side should be aligned to the 12 inch side ( 4 layer)
7 inch side should be aligned to the 14 inch side. (2 layer)
and 2 inch side should be aligned to the 16 inch side.(8 layer)
Maximum number of rectangles =4*2*8=64
Answer is E
Answer: E
Question: A coin is tossed 1 time. Find out the number of possible outcomes.
Options:
A)1
B)2
C)4
D)8
E)None of these
Rationale: When a coin is tossed once, there are two possible outcomes: Head(H) and Tale(T)
Hence, when a coin is tossed 1 time, the number of possible outcomes
=2
Answer : B
Answer: B
Question: Dhoni weighs twice as much as Nameetha. Nameetha's weight is 70% of Bahar's weight. Dolly weighs 40% of Laila's weight. Laila weighs 20% of Dhoni's weight. Who among these 5 persons weighs the least?
Options:
A)Dhoni
B)Nameetha
C)Dolly
D)Bahar
E)Laila
Rationale: if
Bahar weight = x
we get
Nameetha's weight = 0.7x
Dhoni's weight = 1.4x
Laila's weight = 0.28x
and Dolly's weight = 0.112x
Answer : C
Answer: C
Question: there is four light.all light glow in blue,white,yellow and red.
all glow together and take different color.every time each light change its color in given four of the color.but at same time no two light have same color then tell how many design will form?
Options:
A)20
B)24
C)18
D)16
E)22
Rationale: it is so simple,it is just permutation of 4 item.
4P4=4!=24
answer B
Answer: B
Question: If x and y are two-single digit integers such that x < 40 and y<7, which of the following is closest to the maximum possible value of xy ?
Options:
A) 700
B) 2,800
C) 4,000
D) 7,000
E) 63
Rationale: To get the maximum possible value of xy, we need maximize the value of both x and y
max x can be = 9 (given x is a two-digit integer < 40)
max y can be = 7 (given y is a two-digit integer < 7)
xy = 9*7 = 63
Answer (E)
Answer: E
Question: The number of students in the three sections of a class are in the ratio 2:3:4. The average marks scored in each of these sections is in the ratio 4:3:1. By what percent is the average mark of the second section more than the class average?
Options:
A)23.27%
B)28.57%
C)32.38%
D)36.74%
E)37.65%
Rationale: Exp. Let the number of students be 2x, 3x, 4x.
Let the average marks be 4y,3y,y.
Average mark of class = ( 8xy+9xy+4xy)/(2x+3x+4x) =21xy/9x=7y/3
Percentage difference = ( 3y - 7y/3)/7y/3 *100 = 28.57%
Answer:B
Answer: B
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 45%?
Options:
A)s.429
B)s.352
C)s.429
D)s.128
E)s.419
Rationale: SP = 800
Profit = 25%
CP = (SP)*[100/(100+P)]
= 800 * [100/125]
= 640
Loss = 45% = 45% of 640 = Rs.288
SP = CP - Loss = 640 - 288
= Rs.352
Answer:B
Answer: B
Question: Two cars cover the same distance at the speed of 50 and 61 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Options:
A)212 km
B)273 km
C)224 km
D)216 km
E)204 km
Rationale: 50(x + 1) = 61x
X = 4.55
60 * 4.55 = 273 km
ANSWER:B
Answer: B
Question: If a company allocates 20 percent of its budget to advertising, 20 percent to capital improvements, and 30 percent to salaries, what fraction of its budget remains for other allocations?
Options:
A)3/5
B)3/10
C)2/5
D)2/10
E)4/10
Rationale: 100%-(20%+20%+30%)=30% remains for other allocations --> 30% = 30/100 = 3/10.
Answer: B.
Answer: B
Question: C.P of 12 pens = S.P. of 8 pens. Calculate the gain percentage.
Options:
A)22
B)50
C)27
D)15
E)81
Rationale: ANSWER: B
Answer: B
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 2904 cm is?
Options:
A)22
B)33
C)17
D)12
E)88
Rationale: 2 * 22/7 * 14 * x = 2904 => x = 33
Answer: B
Answer: B
Question: The price of crude oil which has slumped by 50% in the last 12 months, is projected to increased by 20% in the next 1 month bringing its value to $56. What was the approximate price of crude oil 12 months ago?
Options:
A)93
B)235
C)112
D)126
E)59
Rationale: -50+20-(50*20)/100=-40% net decrease
let initial price be Y
Y(1-40/100)=56
Y=56/0.6 = ~93
Ans is A)
Answer: A
Question: A bullet train 120 m long is running with a speed of 50 kmph. In what time will it pass a man who is running at 4 kmph in the direction opposite to that in which the bullet train is going?
Options:
A)23 sec
B)15 sec
C)12 sec
D)8 sec
E)16 sec
Rationale: D
8 sec
Speed of the bullet train relative to man = (50 + 4) kmph
= 54 *5/18 m/sec = 45/3 m/sec.
Time taken by the bullet train to cross the man = Time taken by it to cover 120 m at (45/3) m / sec
= (120*3/45) sec = 8 sec
Answer: D
Question: How many positive integers N less than 20 are either a multiple of 2, an odd multiple of 9, or the sum of a positive multiple of 2 and a positive multiple of 9 ?
Options:
A)19
B)18
C)17
D)16
E)15
Rationale: We're asked to deal with the positive integers LESS than 20. There are only 19 numbers in that group (1 to 19, inclusive). We're asked to find all of the numbers that fit one (or more) of the given descriptions. Looking at the answer choices, we have every value form 15 to 19, inclusive, so most (if not all) of the numbers from 1 to 19 fit one (or more) of the descriptions. How long would it take you to find the ones that DON'T fit.....?
The first several should be pretty easy to find - the prompt wants us to focus on multiples of 2 and 9 (and sums of those multiples). So what ODD numbers are less than 9?
1, 3, 5, 7
None of these values fit the given descriptions. That's 4 out of 19 that we know for sure do NOT fit. 19 - 4 = 15 = E
Answer: E
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Options:
A)Rs.28829
B)Rs.28824
C)Rs.28187
D)Rs.28800
E)Rs.28429
Rationale: Simple interest = (18000 * 4 * 15)/100
= Rs. 10800
Amount = P + I = 18000 + 10800
= Rs. 28800
Answer: D
Answer: D
Question: he average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?
Options:
A)11
B)25
C)77
D)99
E)21
Rationale: 39x = 5 + 12 + 15 + 19 + (x – 4)44
x = 25.Answer: B
Answer: B
Question: A rectangular plate is of 6 in breadth and 12 in length. Two apertures of 2 in diameter each and one aperture of 1 in diameter have been made with the help of a gas cutter. What is the area of the remaining portion of the plate?
Options:
A)62.5 sq.in
B)68.5 sq.in
C)64.5 sq.in
D)66.5 sq.in
E)None of these
Rationale: Required area = 6 × 12 – {2×π(2/2)2+π(1/2)2}
= 72 - (2π + π⁄4) = 72 - 9π⁄4 = 72 - 9⁄4 × 22⁄7
= 72 - (99⁄14) = 7.07 = 64.94 sq in.
Answer E
Answer: E
Question: If a 5 percent deposit that has been paid toward the purchase of a certain product is $50, how much more remains to be paid?
Options:
A)$550
B)$650
C)$750
D)$850
E)$950
Rationale: 95% remains to be paid so the remaining amount is 19*50=$950.
The answer is E.
Answer: E
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 30% profit?
Options:
A)277
B)960
C)277
D)832
E)121
Rationale: Let C.P. = Rs. x.
Then, 832 - x = x - 448
2x = 1280 => x = 640
Required S.P. = 130% of Rs. 640 = 130/100 * 640 = Rs. 832.
Answer: D
Answer: D
Question: How many times in a day, the hands of a clock are straight?
Options:
A)22
B)6
C)77
D)888
E)11
Rationale: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clock only).
So, in a day, the hands point in the opposite directions 22 times.
Answer:A
Answer: A
Question: What is the number in the unit place in (729)59?
Options:
A)9 in the unit place.
B)1 in the unit place.
C)6 in the unit place.
D)7 in the unit place.
E)none of these
Rationale: When 729 is multiplied twice, the numbers in the unit place in 1.
In other words, if 729 is multiplied an even number of times, the number
in the unit place will be 1. Thus, the number is the place in (729)^58 is 1.
Thus, (729)59 = (729)^58 x (729) = (.....1) x (729)
= 9 in the unit place.
ANSWER:A
Answer: A
Question: Ram, who is half as efficient as Krish, will take 36 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?
Options:
A)16 days
B)12 days
C)8 days
D)6 days
E)18 days
Rationale: Number of days taken by Ram to complete task = 36
Since Ram is half as efficient as Krish , Amount of work done by Krish in 1 day = Amount of work done by Ram in 2 days
If total work done by Ram in 36 days is 36w
Amount of work done by Ram in 1 day = w
Amount of work done by Krish in 1 day = 2w
Total amount of work done by Krish and Ram in a day = 3w
Total amount of time needed by Krish and Ram to complete task = 36w/3w = 12 days
Answer B
Answer: B
Question: If we need to change the average age of a group containing 4 persons from 40 to 38 by adding a person. What should be the age of the person newly added to the group?
Options:
A)20
B)25
C)30
D)38
E)40
Rationale: Sum of the ages of the group having 4 persons and average 40 = 4x40 = 160
Sum of the ages of the group having 5 persons and average 38 = 5x38 = 190
Age of the new person added to the group = 190-160 = 30
Answer: C
Answer: C
Question: In how many different ways can 4 identical blue pants and 4 identical red pants be shared among 8 children such that each child receives a pant?
Options:
A)10320
B)42320
C)40320
D)20320
E)50320
Rationale: BBB RRR
Therefore total number of ways is
6! but there are two groups of 3 identical things.
Therefore total number of "different" ways is
8!/ (4!) (4!) = 40320 ANS:C
Answer: C
Question: The average monthly income of P and Q is Dollar 5050. The average monthly income of Q and R is Dollar 6250 and the average monthly income of P and R is Dollar 5200. The monthly income of P is:
Options:
A)Dollar 3500
B)Dollar 4000
C)Dollar 4050
D)Dollar 5000
E)None
Rationale: Explanation: Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (5050 x 2) = 10100 .... (i)
Q + R = (6250 x 2) = 12500 .... (ii)
P + R = (5200 x 2) = 10400 .... (iii)
Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 .... (iv)
Subtracting (ii) from (iv), we get P = 4000. P's monthly income = Dollar 4000.
Answer B
Answer: B
Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
Options:
A)1:2:3
B)2:3:4
C)3:4:5
D)4:5:6
E)None of these
Rationale: Explanation:
Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
⇒ [(140/100) × 5x],[(150/100) × 7x] and [(175/100) × 8x] ⇒ 7x, 21x/2 and 14x.
⇒ The required ratio =7x : 21x/2 : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4
Answer: B
Answer: B
Question: 150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
Options:
A)30
B)60
C)45
D)90
E)None of these
Rationale: Rate of consumption of each man = 1050/(150 * 30) = 7/30 kg/day
Let us say 70 men take x days to consume 150 kg.
Quantity consumed by each item in x days = (7x/30) kg
Quantity consumed by 70 men in x days = (7/30 x)(70) kg
= (7/30 x) * (70) = 960
x = 60 days
ANSWER:B
Answer: B
Question: The cost of 5kg of rice is equal to 17 kg of potatoes. Cost of 7 kg of rice is Rs.476. What will be the cost of 3 kg of rice and 5 kg of potatoes together?
Options:
A)Rs.302
B)Rs.312
C)Rs.328
D)Rs.304
E)Rs.308
Rationale: Explanation:
Price of 1 kg of rice = 476/7 = Rs.68.
Price of 5 kg of rice = Rs.68 x 5 = Rs.340.
Cost of 17 kg potatoes = Rs.340.
:. Cost of 1 kg potato = Rs.340/17 = Rs.20.
:. Cost of 3 kg rice + 5 kg potato = 3 x 68 + 5 x 20 = Rs.304.
Answer: Option D
Answer: D
Question: 27 is a perfect cube. When x is added to the prime factor of 27, the result is also a perfect cube. What is x?
Options:
A)1
B)3
C)5
D)7
E)11
Rationale: 27 is 3*3*3
A 3+1 = 4, 4=2*2
B 3+3 = 6, 6=2*3
C 3+5 = 8, 8=2*2*2
D 3+7 = 10, 10=2*5
E 3+11= 14, 14=2*7
C is the only addition that gives a perfect cube.
Answer: C
Question: At 12:10 o'clock Bill leaves point A towards point B at a speed of 30 Km/h. At 13:40 o'clock Richi leaves from the same point towards point B also, but at a speed of 60 Km/h. At what time will Richi passes over Bill?
Options:
A)14:40.
B)15:10.
C)16:10
D)15:40
E)15:30
Rationale: Distance travelled by Bill in 1hr 30min ( 12:10 to 13:40) = 30kmph*(90/60)hr = 45km
Relative speed = Richi's speed ~ Bill's speed = 30kmph
Time taken by Richi to cross Bill = 45/30 = 1.5 hrs
Time at which Richi will cross Bill = 13:40 + 1:30 = 14:70 = 15:10 hrs
Ans. B
Answer: B
Question: A train passes a station platform in 36 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)200
B)240
C)250
D)260
E)270
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)/36 = 15 => x = 240 m.
Answer: Option B
Answer: B
Question: If f(x) = k(x - k) and k is a constant, what is the value of f(8) - f(3), in terms of k?
Options:
A) 1
B) 5k
C) 7k - 1
D) k^2 + k
E) k^2 - k
Rationale: First, distribute f(x). k(x - k) = kx - k^2. Now evaluate f(8) and f(3):
f(8) = k(8) - k^2 = 8k - k^2
f(3) = 3k - k^2
Answer B
Answer: B
Question: In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 4 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Options:
A)1.
B)2.
C)3.
D)4.
E)5.
Rationale: Total boxes = 23
Filled with toys = 16
Filled with appliance = 7
Total boxes for sale = 8
Toy boxes for sale = 4
Appliance boxes for sale = 4
Appliance boxes not for sale = 7 - 4 = 3
Correct Option: C
Answer: C
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Options:
A)200 sec
B)190 sec
C)210 sec
D)150 sec
E)250 sec
Rationale: Time taken by B run 1000 meters = (1000 * 10)/50 = 200 sec.
Time taken by A = 200 - 10 = 190 sec.
ANSWER:B
Answer: B
Question: a call center agent has a list of 305 phone numbers of people in alphabetic order of names (but she does not have any of the names). She needs to quickly contact Deepak Sharma to convey a message to him. If each call takes 2 minutes to complete, and every call is answered, what is the minimum amount of time in which she can guarantee to deliver the message to
Mr Sharma.
Options:
A)18
B)19
C)20
D)21
E)22
Rationale: Since the agent does not have any of the names, he calls all 305 numbers.
Depending on the response, he divides the number into two halves 305/2
i.e. 152 or 153(choose as you like,I chose 152),
if the name deepak sharma lies in first half of 152,
then he calls all 152 numbers and check each time dividing by 2 until he finally connects with deepak sharma...
so the sequence will be 152,76,38,19,9,4,2,1,0. since total number of tries is 9...
minimum time required will be 9*2= 18minutes
ANSWER:A
Answer: A
Question: If the volume of two cubes are in the ratio 64:8, the ratio of their edges is:
Options:
A)3:1
B)3:2
C)3:5
D)2:1
E)None of these
Rationale: Explanation:
Let the edges be a and b of two cubes, then
a3/b3=64/8
=>(a/b)3=(4/2)3
a/b=2/1
=>a:b=2:1
Option D
Answer: D
Question: Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 11?
Options:
A)13
B)16
C)18
D)19
E)22
Rationale: A. 13 (cannot be weighed)
B. 15 (can be weighed by keeping weights of 11,4 and 1 kg)
C. 17 (can be weighed by keeping weights of 11 and 7 kg)
D. 19(can be weighed by keeping weights of 11, 7 and 1kg )
E. 21 (can be weighed by keeping weights of 11, 7 and 4 kg)
A
Answer: A
Question: A library has an average of 510 visitors on Sundays and 240 on other day. The average number of
visitors in a month of 30 days starting with sunday is
Options:
A)280
B)285
C)290
D)295
E)None of these
Rationale: Explanation:
As the month begin with sunday, so there will be five sundays in the month. So result will be:
=(510×5+240×2530)=(855030)=285
Answer: Option B
Answer: B
Question: A sum of $1000 amounts to $1500 in 5 years at simple interest. If the interest rate is increased by 5% it would amount to how much ?
Options:
A)$1000
B)$750
C)$1541
D)$1478
E)$1750
Rationale: S.I = 1500-1000 = 500
P = $1000
T = 5 years
R = 100*500 / 1000*5 = 10%
New rate = 10+5 = 15%
New S.I. = 1000*15*5/100 = $750
New amount = 1000+750 = $1750
Answer is E
Answer: E
Question: The average of 55 numbers is 50. If two numbers namely 24 and 48 are discarded, The average of
remaining numbers is?
Options:
A)40
B)37.5
C)50
D)60
E)70
Rationale: Total of 50 numbers = 55 * 50 = 2750
Average of 53 numbers = 2750-(45+55) / 53
= 2650 / 53 = 50
Answer is C
Answer: C
Question: David can read m pages in 15 minutes. At this rate, how long will it take him to read n pages?
Options:
A)(10/m)*n
B)(12/m)*n
C)(15/m)*n
D)(16/m)*n
E)(20/m)*n
Rationale: m page in 15 mins
i.e. 1 page in 15/m mins
i.e. n pages in (15/m)*n
Answer: option C
Answer: C
Question: A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Options:
A)36
B)50
C)55
D)26
E)29
Rationale: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 10) km/hr. x - 10 = 45 ==> x = 55 km/hr
Answer: C
Answer: C
Question: If two sides of a triangle have lengths 1 and 5, which of the following could be the perimeter of the triangle?
I. 9
II. 15
III. 19
Options:
A)None
B)I only
C)II only
D)II and III only
E)I, II, and III
Rationale: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Therefore:
(5-1) < {third side} < (5+1).
4 < {third side} < 6.
Perimeter = {third side} + 1 + 5 = {third side} + 6.
10 < {perimeter} < 12.
answer A
Answer: A
Question: A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 50% above the original cost per share of stock, then interns of n for how many dollars was each share sold?
Options:
A)a) 2n/300
B)b) n/300
C)c) n/200
D)d) n/300 + 50
E)e) 350/n
Rationale: Let Cost of 300 shares be $ 3000
So, Cost of 1 shares be $ 10 =>n/300
Selling price per share = (100+50)/100 * n/300
Or, Selling price per share = 3/2 * n/300 => m/200
Hence answer will be (C)
Answer: C
Question: An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 hours 30 min to fill the tank. In what time the leak can drain out all the water of the tank and will make tank empty ?
Options:
A)10 hours
B)13 hours
C)17 hours
D)21 hours
E)25 hours
Rationale: Explanation:
We can get the answer by subtrating work done by leak in one hour by subtraction of filling for 1 hour without leak and with leak, as
Work done for 1 hour without leak = 1/3
Work done with leak = 3 1/2=7/2
Work done with leak in 1 hr=2/7
Work done by leak in 1 hr=1/3=2/7=1/21
So tank will be empty by the leak in 21 hours.
ANSWER IS D
Answer: D
Question: The remainder of the division of a number by 63 is 24. What will be the remainder when that number is divided by 7?
Please explain
Options:
A)4
B)3
C)6
D)7
E)8
Rationale: The easiest way to solve this question is by plugging in a number. Here are the steps I followed:
1) Choose a number X that when divided by 63 gives you 27 as a remainder. So I did x = 63 + 24 = 87.
2) Divide that number by 7. 87/7 = 12R3
Since the remainder is 3, the correct answer is choice B.
Answer: B
Question: The jogging track in a sports complex is 726 m in circumference. Suresh and his wife start from the same point and walk in opposite direction at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
Options:
A)5.2 minutes
B)5.21 minutes
C)5.25 minutes
D)5.28 minutes
E)6 minutes
Rationale: Let both of them meet after TT min
4500 m are covered by Suresh in 60 m.
In TT min he will cover 4500T604500T60
Likewise, In TT min Suresh's wife will cover 3750T603750T60
Given,
4500T60+3750T60=7264500T60+3750T60=726
TT = 5.28 minutes
Option(D) is correct
Answer: D
Question: 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Options:
A)24 days
B)28 days
C)34 days
D)35 days
E)None of these
Rationale: Explanation:
Less Men, means more Days {Indirect Proportion}
Let the number of days be x
then,
27 : 36 :: 18 : x
[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]
x=36∗18 / 27
x=24
So 24 days will be required to get work done by 27 men.
Option A
Answer: A
Question: A polygon has 44 diagonals, then the number of its sides are
Options:
A)11
B)9
C)7
D)5
E)3
Rationale: Let the number of sides be n.
The number of diagonals is given by nC2 - n
Therefore, nC2 - n = 44, n>0
n(n - 1) / 2 - n = 44
n2 - 3n - 88 = 0
n2 -11n + 8n - 88 = 0
n(n - 11) + 8(n - 11) = 0
n = -8 or n = 11.
ANSWER:A
Answer: A
Question: In what time will a train 134 m long cross an electric pole, it its speed be 169 km/hr?
Options:
A)2.5
B)2.7
C)2.9
D)2.3
E)2.1
Rationale: Speed = 169 * 5/18 = 46.9 m/sec
Time taken = 134/46.9
= 2.9 sec.
Answer: C
Answer: C
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Options:
A)1/211
B)2/213
C)1/216
D)2/223
E)3/223
Rationale: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64=6×6×6×6=64
n(S)=64n(S)=64
Let XX be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6n(X)=6
Hence required probability,
=n(X)n(S)=664=n(X)n(S)=664
=1/216
C
Answer: C
Question: If a man lost 4% by selling oranges at the rate of 36 a rupee at how many a rupee must he sell them to gain 44%?
Options:
A)1
B)8
C)9
D)24
E)3
Rationale: 96% ---- 36
144% ---- ?
96/144 * 36 = 24
Answer: D
Answer: D
Question: 4 out of 5 parts in the given question are exactly same. Which part is not equal to other parts.
(A) 256/2 + 3 = (B) 65.5*2 = (C) 240/4 + 70 =(D) 11 + 94 + 25 = (E) 7.5 +23.5 +89.3 + 10.7
Options:
A)U
B)H
C)C
D)GH
E)J
Rationale: Explanation:
(A) 256/2 + 3 = (B) 65.5*2 = (C) 240/4 + 70 =(D) 11 + 94 + 26 = (E) 7.5 +23.5 +89.3 + 10.7
(A) 131 = (B) 131 = (C) 130 = (D) 131 = (E) 131
ANSWER: C
Answer: C
Question: The length of 3 ropes are in the ratio 4 : 5 : 6. If the sum of the weights of the longest and the shortest rope is 100 metres more than the length of the third rope, what is the length of the shortest rope?
Options:
A)80m
B)180m
C)100m
D)60m
E)of these
Rationale: Let the lengths of the three ropes be 4k, 5k and 6k respectively.
4k + 6k = 5k + 100
=> 5k = 100 => k = 20
Therefore the weight of the lightest boy
= 4k = 4(20) = 80m
ANSWER:A
Answer: A
Question: If it takes a machine 1⁄3 minute to produce one item, how many items will it produce in 2 hours?
Options:
A)1⁄3
B)4⁄3
C)80
D)120
E)360
Rationale: 1 item takes 1/3 min so it takes 120 min to produce x
x/3=120 the x=360
Answer:E
Answer: E
Question: A NEWSPAPER manufacturer produces 800 units of a certain model each month at a cost to the manufacturer of £50 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus production costs) on the sales of these units will be at least £80,000?
Options:
A)115
B)520
C)550
D)750
E)796
Rationale: 800(x-50)≥80,000
x-50≥800
x≥750
Answer: Option D
Answer: D