divelab/Sys2Bench huggingface dataset:
Question: The ratio between the presents of the A and B is 2:3. If B is 5 years older than A, what will be the ratio of the ages of A and B after 5 years?
Options:
A)3:4
B)1:2
C)2:3
D)5:6
E)1:3
Rationale: Let A and B ages will be 2x and 3x
3x - 2x = 5
x = 5
Required ratio = 2x+5 : 3x+5 = 15:20 = 3:4
Answer is A
Answer: A
Question: If a randomly selected non-negative single digit integer is added to {2, 3, 6, 8}. What is the probability that the median of the set will increase but the range still remains the same?
Options:
A)0.2
B)0.3
C)0.4
D)0.5
E)0.6
Rationale: We are selecting from non-negative single digit integers, so from {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. These 10 digits represent the total number of outcomes.
Hence, the total number of outcomes is 10.
We need to find the probability that the median of the set will increase but the range still remains the same.
The median of the set is (3 + 6)/2 = 4.5, thus the number selected must be 5 or greater.
For the range to remain the same, the number must be between 2 and 8 inclusive.
To satisfy both conditions, the number selected must be 5, 6, 7, or 8.
The probability is 4/10 = 0.4
The answer is C.
Answer: C
Question: A cubic object 3'' x 3'' x 3'' is painted blue on all the outside surfaces, including the top and bottom. If the cube is cut into 27 cubes of 1'' x 1'' x 1'' , how many 1" cubes do have any painted surfaces?
Options:
A)15
B)22
C)26
D)33
E)44
Rationale: C
26
Only the box in the very centre of the stack will not suffer the strokes of the paint brush, whereas all the other 26 boxes will have at least one side painted.
Answer: C
Question: Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
Options:
A)22.5 years
B)24.5 years
C)12.5 years
D)28.5 years
E)29.5 years
Rationale: Let Rahul's age be X years.
Then, Sachin's age = (X - 7) years.
Therefore (X - 7) / X	=	7/9
9X - 63 = 7X
2X = 63
X = 31.5
Hence, Sachin's age =(X - 7) = 24.5 years.
ANSWER:B
Answer: B
Question: If x is a sum of all even integers on the interval 13...55 and y is their number, what is the GCD (x, y)?
Options:
A) 1
B) 21
C) 26
D) 52
E) 1014
Rationale: x = 14 + 16 + ... + 54 = (largest + smallest)/2 *(# of terms) = (14 + 54)/2*21= 34*21.
GCD of 21 and 34*21 is 21
Answer: B.
Answer: B
Question: If one-third of one-fourth of a number is 15, then three-tenth of that number is:
Options:
A)45
B)65
C)54
D)34
E)44
Rationale: Let the number be x.
Then,1/3 of 1/4 of x = 15 <=> x = 15 x 12 = 180.
So, required number =3/10 x 180= 54.
ANSWER:C
Answer: C
Question: A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 380 miles apart, at what time will the trains pass each other?
Options:
A)12:40pm
B)12:49pm
C)12:55pm
D)1:01pm
E)1:05pm
Rationale: Train A: going from K to T
Train B: going from T to K
First I calculated how far Train A will have travelled by the time Train B starts at 12:10:
10 minutes at 240 mph
1/6*240=40miles
They have 380-40=340 miles to travel to meet each other.
I found the combined rate of the two trains
Rate(A) + Rate(B) = 400mph
Divide Distance/Rate to find total time each will travel:
340/400>>> 51 Minutes to meet
12:10+51 minutes = 1:01 or Answer D
Answer: D
Question: On taking delivery of a consignment of eggs the market stall owner was furious to find that several were cracked. In fact, on counting them up in order to assess the damage he found that 72 were cracked, which was 12 percent of the total consignment. How many eggs in total were in the consignment?
Options:
A)500
B)600
C)800
D)200
E)900
Rationale: B
600
72 ÷ 12 × 100 = 600.
Answer: B
Question: A man walks at certain place and rides back in 10 hours. He could ride both ways in 8 hours. The time taken by him to walk both ways?
Options:
A)10
B)12
C)14
D)16
E)None of above
Rationale: W + R = 10and 2R = 8, R = 4so, W = 6 so, walking both sides, he will take = 12 hours Answer: B
Answer: B
Question: In Arun's opinion, his weight is greater than 66 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 69 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
Options:
A)86.5 kg
B)67.5 kg
C)46.5 kg
D)26.5 kg
E)16.5 kg
Rationale: Let Arun's weight be X kg.
According to Arun, 66 < X < 72.
According to Arun's brother, 60 < X < 70.
According to Arun's mother, X < 69.
The values satisfying all the above conditions are 67 and 68.
Required average = (67 + 68) / 2 = 67.5 kg
Answer: B
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Options:
A)356
B)250
C)127
D)279
E)150
Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 15 = 250 m
Answer: B
Answer: B
Question: For integers x, y, and z, if (3^x) (4^y) (5^z) = 838,860,800,000 and x + y + z = 19, what is the value of xy/z?
Options:
A)0
B)2
C)4
D)6
E)8
Rationale: The number 838,860,800,000 is not divisible by 3. (We can verify this by adding the digits of the number to see that the sum is not a multiple of 3.)
Thus x = 0 and xy/z = 0.
The answer is A.
Answer: A
Question: The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 60.5. When one student dropped the class, the average of the remaining scores increased to 64.0. What is the quiz score of the student who dropped the class?
Options:
A)a) 8
B)b) 25
C)c) 40
D)d) 55
E)e) 70
Rationale: Total Score of 16 students is 16*60.50 = 968
Total Score of 15 students is 15*64 = 960
So, the score of the person who left is 8 ( 968 - 960 )
Answer will be (A
Answer: A
Question: At the beginning of 2011, Company X created a list of n charities, and committed to donating 10% of its prots for the year to these charities, donating an equal amount to each charity. However, during the year, Company X removed a charities from this list, and donated 10% of its prot in equal amounts to each of the remaining charities on the list. If the Wesley Homeless Shelter was one of the charities on the list which received a donation from Company X, which of the following represents, in terms of n and a, the percent increase in the amount the Wesley Homeless Shelter received because the a charities were removed from the list?
Options:
A)100n/a
B)100a/(n-a)
C)100(n-a)/n
D)100n/(n-a)
E)100(n-a)/a
Rationale: Sol:
Let profit be "P"
for n charities - each get p/n
when a charities are removed - each get p/(n-a)
increase will be (p/(n-a)) - (p/n) = pa/(n-a)*n
Increase % will be (pa/(n-a)*n) / (p/n) multiplied by 100.
result will be 100a/(n-a)
ANSWER:E
Answer: E
Question: 8 points are marked on a straight line and another 9 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Options:
A)91
B)105
C)196
D)20
E)14
Rationale: assuming that the top line can have either 2 points or 1 point...
8! / 1!7! - 8! / 2! 6! yields 20.
D
Answer: D
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.50 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Options:
A)$255
B)$275
C)$510
D)$1,250
E)$2,550
Rationale: Total no. Of boxes = 3060000/(20×20×15) = 510
Total cost = 510×$0.5=$255
Answer A
Answer: A
Question: The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 14 cm each. The radius of the sphere is
Options:
A)3 cm
B)4 cm
C)6 cm
D)7 cm
E)None
Rationale: Solution
4Î R2	= 2Î 7x14
â‡’ R2 = (7x14/2)
â‡’ 49
â‡’ R = 7 cm.
Answer D
Answer: D
Question: A train 110 m long is running with a speed of 36 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Options:
A)5
B)6
C)7
D)9
E)5
Rationale: Speed of train relative to man = 36 + 6 = 42 km/hr.
= 42 * 5/18 = 35/3 m/sec.
Time taken to pass the men = 110 * 3/35 = 9 sec.Answer: D
Answer: D
Question: A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 106. What was the number he chose?
Options:
A)123
B)267
C)277
D)122
E)120
Rationale: Let xx be the number he chose, then
2â‹…xâˆ’138=106
x=122
Answer:D
Answer: D
Question: In a camp, there is a meal for 160 men or 220 children. If 160 children have taken the meal, how many men will be catered to with remaining meal?
Options:
A)41
B)16
C)15
D)14
E)20
Rationale: B
16
There is a meal for 200 children.
180 children have taken the meal.
Remaining meal is to be catered to 20 children.
Now, 200 children 160 men.
20 children = (160/200)x 20= 16 men.
Answer: B
Question: 2 friends A n B running up hill and then to get down length of road 440 yads A on his return journey met B going up at 20 yards from top if A has finished race 5 minute earlier than B then how much time A had taken to complete the race ?
Options:
A)100 minute
B)110 minute
C)120 minute
D)130 minute
E)140 minute
Rationale: total journey= 440*2=880
A meet B 20 yards from top in getting down it means he has covered 440+20=460 yards while B is 420 yards.so he is 40 yards ahead of B which is equals to 5 minute.
so 40 yards in 5 min
880 yards will be in 5*880/(40)=110 minute
ANSWER:B
Answer: B
Question: Wilson can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
Options:
A)40 minutes.
B)1 hour and 30 minutes.
C)1 hour.
D)1 hour and 40 minutes.
E)2 hours and 15 minutes.
Rationale: Rate =Output/Time
Wilson Rate=25/20=5/4
Dylan Rate=25/60=5/12
Combined rate = 5/4+5/12= 20/12
CombinedRate*CombinedTime= CombinedOutput
20/12*t=150
t=90 mins => 1 hr 30 min
Answer: C
Question: City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 5:00 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet?
Options:
A)5:00
B)5:30
C)6:00
D)6:30
E)7:00
Rationale: Train C has traveled 20 mi in the half hour before Train D has started its journey.
140-20=120
40+20 =60 mph
120 mi/ 60 mph = 2 hrs
5:00pm + 2 hrs = 7:00pm
Answer:
E. 7:00
Answer: E
Question: A sports equipment store sold ping pong rackets for a total of $735. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
Options:
A)50
B)100
C)490
D)500
E)75
Rationale: Average price for a pair of rackets = $9.8
Total cost = $9.8*x = $735
x = 75 pairs were sold.
ANSWER:E
Answer: E
Question: Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 11 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Options:
A)30
B)90
C)240
D)480
E)880
Rationale: Total # of outfits = 11 * 10 * 8 = 880
Answer - E
Answer: E
Question: Lucy deposited $62500 in an investment fund that provided 20 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5100?
Options:
A)0.5
B)2.4
C)3
D)6
E)6.1
Rationale: A = P + I = 62500 + 5100 = 67600
67600 = 62500(1 + 20/4*100)^(4t)
(676/625) = (105/100)^(4t)
t = 1/5 yrs = 2.4 months
Answer: B
Answer: B
Question: The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-fourth of its original value. How many amperes of electrical current will flow through the wire?
Options:
A)2
B)4
C)8
D)16
E)24
Rationale: Given that, I∝1/R, I*R is a constant value.
I1*R1 = I2*R2
I1*R1 = I2*R1/4
I2 = 4*I1 = 16 amperes
The answer is D.
Answer: D
Question: The average marks obtained by 120 cndidates in a certainexaminationis 35.if the average marks of passed candidate is 39 and that of the failedcandidates is 15,what is the number of candidates who passed the examination
Options:
A)14 years
B)14 years 5 month
C)14 years 8 month
D)15 years
E)15 years 5 month
Rationale: (d) Let No. of passed candidates are x
So, x * 39 + (120 – x) 15= 120 * 35
x = 100
2.(a) Total increase = 8 * 2 = 16 years
So, total age of two women = 35 + 45 +16= 96
Average age of two women=96/2=48 years
3(d) Total decrease = 20 * 2 = 40 month
= 3 years 4 month
So, age of new boy = 18 years – 3 years 4 month
= 14 years 8 month
C
Answer: C
Question: In a division sum, the divisor is 12 times the quotient and 6 times the remainder. If the remainder is 24, what is the divident?
Options:
A)1738
B)1752
C)1846
D)1648
E)None
Rationale: Solution: Dividend= [Divisor*quotient]+Remainder ----> (1).
Given divisor=6*24=144. 12*quotient=144 => quotient=144/12= 12.
substitute these values in the (1) then we get 1752 as dividend.
Answer B
Answer: B
Question: What is the minimum number of square marbles required to tile a floor of length 3 metres 39cm and width 2 metres 26 cm?
Options:
A)176
B)187
C)540
D)748
E)6
Rationale: The marbles used to tile the floor are square marbles.
Therefore, the length of the marble=width of the marble.the length of the marble=width of the marble.
As we have to use whole number of marbles, the side of the square should a factor of both 3 m 39 cm and 2m 26. And it should be the highest factor of 3 m 39 cm and 2m 26.
3 m 39 cm = 339 cm and 2 m 26 cm = 226 cm.
The HCF of 339 and 226 = 113.
Hence, the side of the square is 113.
The number of such square marbles required,
=339×226/113×113
=6 marbles
Option(E)
Answer: E
Question: In how many different number of ways 5 men and 2 girls can sit on a shopa which can accommodate persons?
Options:
A)180
B)200
C)210
D)220
E)240
Rationale: 7p3 = 7 × 6 × 5 = 210
C)
Answer: C
Question: In how many different ways can the letters of the word ‘ARMOUM’ be arranged?
Options:
A)213
B)220
C)230
D)240
E)360
Rationale: ARMOUR = 6 letter whereas R repeated twice 6! 6xSx4x3x2x1 => 360
E
Answer: E
Question: Three pounds of 05 grass seed contain 5 percent herbicide. A different type of grass seed, 20, which contains 20 percent herbicide, will be mixed with three pounds of 05 grass seed. How much grass seed of type 20 should be added to the three pounds of 05 grass seed so that the mixture contains 15 percent herbicide?
Options:
A)3
B)3.75
C)4.5
D)6
E)9
Rationale: 05 grass seed contains 5% herbicide and its amount is 3 pound
20 grass seed contains 20% herbicide and its amount is x
when these two types of grass seeds are mixed, their average becomes 15%
thus we have
3(5)+x(20)/(x+3) = 15
15+20x=15x +45
5x=30
or x=6
ANSWER:D
Answer: D
Question: Machine–X produces 50% of the total output and Machine-Y produces 75% of the total output. An average of 16 units out of a thousand goods manufactured by Machine-X and 3 unit of 500 units produced by Machine-X prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?
Options:
A)0.01
B)0.02
C)0.04
D)0.06
E)0.08
Rationale: Suppose machine X produce 1000 units
total defective = 16
Machine Y then produces=1500 units
total defective=9
probability=25/2500
=0.01
Answer : A
Answer: A
Question: One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field.
Options:
A)120
B)147
C)251
D)451
E)258
Rationale: Other side = ((17) 2- (15)2)(1/2) = (289- 225)(1/2) = (64)(1/2) = 8 m.
Area = (15 x 8) m2 = 120 m2.
Ans: A
Answer: A
Question: 6 points are marked on a straight line and another 8 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Options:
A)91
B)105
C)288
D)21
E)14
Rationale: getting the answer 288 which is not in the choices, what is the source of the problem?
6C2* 8C1 + 8C2* 6C1 = 288
C
Answer: C
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12400 after a year?
Options:
A)3630
B)9232
C)3720
D)3720
E)2813
Rationale: 6300:4200:10500
3:2:5
3/10 * 12400 = 3720
Answer: C
Answer: C
Question: I. c^2 - 9c + 20 = 0,
II. 2d^2 - 5d- 12 = 0 to solve both the equations to find the values of c and d?
Options:
A)c< d
B)c ≤ d
C)the relationship between c and d cannot be established
D)c> d
E)a ≥ b
Rationale: I. (c- 5)(c- 4) = 0
=> c= 5, 4
II. (2d+ 3)(d- 4) = 0
=> d= 4, -3/2 => c≥ d
Option E
Answer: E
Question: From the word 'CARRIAGE', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
Options:
A)5
B)8
C)3
D)2
E)9
Rationale: Explanation:
The words formed are
CAR, AGE and RIAGE
Answer: C) 3
Answer: C
Question: The value of a machine depreciates at 23% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made?
Options:
A)$252935
B)$432935
C)$122935
D)$112935
E)$152935
Rationale: The value of the machine after two years = 0.77 * 0.77 * 1,50,000 = $88,935
SP such that a profit of $24,000 is made = 88,935 + 24,000 = $1,12,935
D
Answer: D
Question: A train travels from New York to Chicago, a distance of approximately 480 miles, at an average rate of 40 miles per hour and arrives in Chicago at 6:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
Options:
A)3:00
B)4:00
C)5:00
D)6:00
E)7:00
Rationale: 6:00 in evening in Chicago = 7:00 in evening in New York. So, the train was in Chicago 7:00 in the evening, New York time.
The trip took T=D/R=480/40=12 hours. Therefore, the train depart from New York at 7:00 - 12 hours = 7:00 in the morning, New York time.
Answer: E.
Answer: E
Question: What is the remainder when 9^1 + 9^2 + 9^3 +...+ 9^9 is divided by 9?
Options:
A)2
B)3
C)0
D)5
E)None of the above
Rationale: Notice that in the brackets we have the sum of 9 odd multiples of 9, which yields remainder of 0 upon division by 9.
Answer : C
Answer: C
Question: A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
Options:
A)4500
B)2678
C)2689
D)2761
E)2882
Rationale: (3000 * 2 * 5)/60
= 4500 M3
Answer:A
Answer: A
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number ?
Options:
A)2
B)4
C)5
D)8
E)9
Rationale: Explanation:
Let the number be v. Then, 3 (2x + 9) = 75.
2x + 9 = 25
=> 2x = 16
=> x = 8
Answer: D) 8
Answer: D
Question: Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 17 times as heavy as water?
Options:
A)1:2
B)3:2
C)4:1
D)5:2
E)6:5
Rationale: G = 19W
C = 9W
Let 1gm of gold mixed with x gm of copper to get 1+x gm of the alloy
1gm gold + x gm copper = x+1 gm of alloy
19W+9Wx = x+1 * 17W
19+9x = 17(x+1)
x = 1/4
Ratio of gold with copper = 1:1/4 = 4:1
Answer is C
Answer: C
Question: In what time will the simple interest be 2/5 of the principal at 8 per cent per annum?
Options:
A)8 years
B)7 years
C)6 years
D)5 years
E)4 years
Rationale: Explanation:
Let sum = x.
Then, Amount =2/5 x ,R=8% pa
Here, S.I = 2/5 of sum
Time =( 100 X 2x/x X 5 X 8) = 5 Years
Answer: C
Answer: C
Question: A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?
Options:
A)7
B)8
C)9
D)6
E)5
Rationale: (3+11+7+9+15+13+8+19+17+21+14+x)/12 =12
⇒(137+x)/12=12
⇒137+x=144
⇒x=144−137=7
Answer is A.
Answer: A
Question: The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 9 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?
Options:
A)20 km
B)30 km
C)45 km
D)50 km
E)60 km
Rationale: Number of stops in an hour: 60/5 = 12
Distance between stops: 60/12 = 5 km
Distance between Yahya's house and Pinedale Mall: 5 x 9 = 45 km
IMO, correct answer is "C."
Answer: C
Question: In a certain alphabet, 20 letters contain a dot and a straight line. 36 letters contain a straight line but do not contain a dot. If that alphabet has 60 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
Options:
A)4
B)3
C)14
D)20
E)28
Rationale: We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).
First we find the total # of letters with lines: 20 +36 = 56;
Next, we find the total # of letters without line: 60 - 56 = 4;
Finally, we find the # of letters that contain a dot but do not contain a straight line: 4 - 0 = 4.
Answer: A
Question: Choose the missing terms out of the given alternatives.
JE, LH, OL, SQ, ?
Options:
A)XW
B)DT
C)WV
D)WX
E)VW
Rationale: A
XW
The first letter moves 2, 3, 4 ... steps forward. The second letter moves 3, 4, 5 ... steps forward
Answer: A
Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Options:
A)9000
B)9400
C)9600
D)9800
E)9200
Rationale: Greatest number of 4-digits is 9999.
L.C.M. of 15, 25, 40 and 75 is 600.
On dividing 9999 by 600, the remainder is 399.
Required number (9999 - 399) = 9600.
Answer: Option C
Answer: C
Question: A bag contains 40 black balls and 50 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Options:
A)2/5
B)5/7
C)1/2
D)1/4
E)1/3
Rationale: Total number of balls = 40+50 = 70
no. of white balls = 50
probability of drawing a white ball = 50/70 = 5/7
Answer is B
Answer: B
Question: The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 3600 for a computer table, then what was the cost price of the computer table?
Options:
A)2299
B)2699
C)3000
D)6725
E)2601
Rationale: CP = SP * (100/(100 + profit%))
= 3600(100/120) = Rs. 3000
Answer:C
Answer: C
Question: It takes John 5 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Options:
A)7:30
B)7
C)6:30
D)6
E)5
Rationale: The time it takes John to get to work: time to walk to car park + time to drive
25 + 45 = 70 minutes = 1 hour and 10 minutes
John needs to get out of the house 1 hour and 10 minutes before 9:00 am at
9:00 - 1:10 = 7:30 a.m.
A
Answer: A
Question: A man purchased a grinder for Rs. 420 and sold it at a profit of 10%. The selling price is:
Options:
A)Rs. 462
B)Rs. 812
C)Rs. 684
D)None of these
E)Cannot be determined
Rationale: s.p.=110/100 × 420=462
Answer: A
Answer: A
Question: A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Options:
A)320 m
B)350 m
C)650 m
D)None of these
E)Cannot be determined
Rationale: Solution
Speed	= (300 / 18) m/sec
= (50 / 3) m/sec.
Length of the platform be x metres.
Then	= x + 300 /39
= 50 / 3 m/sec
= 3 (x + 300) =1950 .
= 350 m
Answer B
Answer: B
Question: A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Options:
A)91 (1/3) kmph
B)21 (1/3) kmph
C)81 (1/3) kmph
D)21 (1/7) kmph
E)23 (1/3) kmph
Rationale: Let the total distance be x km
total time taken
= (x/4)/16 + (3x/4)/24
= x/64 + x/32 = 3x/64
Average speed = x/(3x/64)
= 64/3kmph = 21 (1/3)kmph.
Answer:B
Answer: B