divelab/Sys2Bench huggingface dataset:
Question: An automobile manufacturer offers a station wagon with either a 12-cylinder engine or a 10-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 12-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
Options:
A) 44
B) 47
C) 48
D) 50
E) 53
Rationale: 12-cylinder engine wagons = 2*2*2*2*2 = 32 (manual or automatic, with or without trailer);
10-cylinder engine wagons = 2*2*2*2 = 16 (manual or automatic).
Total = 32 + 16 = 48.
Answer:C.
Answer: C
Question: Express a speed of 252 kmph in meters per second?
Options:
A)10 mps
B)05 mps
C)09 mps
D)12 mps
E)70 mps
Rationale: E
70 mps
252 * 5/18 = 70 mps
Answer: E
Question: Express a speed of 60 kmph in meters per second?
Options:
A)10 mps
B)16.67 mps
C)97.67 mps
D)17.67 mps
E)18 mps
Rationale: 60 * 5/18
= 16.67 mps
Answer: B
Answer: B
Question: All of the stocks on the over-the-counter market are designated by either a 7-letter or a 7-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Options:
A)2(26^5)
B)26(26^4)
C)27(26^4)
D)2(26^7)
E)27(26^5)
Rationale: Number of 4-letter codes: 26 * 26 * 26 * 26 * 26 * 26 * 26 = 26^7
Number of 5-letter codes: 26 * 26 * 26 * 26 * 26 * 26 * 26 = 26^7
Total Number of codes: 26^7 + 26^7 = 2*(26^7)
Therefore, the answer isD: 2*(26^7).
Answer: D
Question: If t = 20! + 17, then t is divisible by which of the following?
I. 15
II. 17
III. 19
Options:
A) None
B) I only
C) II only
D) I and II
E) II and II
Rationale: Another crude way to answer this, if you did not know the properties above would be to consider that that 20! will have the number ending in 00 due to 10 and 20 being included.
So t!+17 = xxxx00 +17 = xxxx17 which is only possibly divisible by 17. Hence Option C is the answer.
Answer: C
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 35 per metre of cloth. What is the cost price of one metre of cloth?
Options:
A)21
B)28
C)90
D)26
E)70
Rationale: Explanation:
SP of 1m of cloth = 8925/85 = Rs. 105
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 105 - Rs. 35 = Rs. 70.
Answer: E
Answer: E
Question: What will come in place of the x in the following Number series? 6, 12, 21, x , 48
Options:
A)33
B)37
C)39
D)41
E)43
Rationale: (A)
The pattern is + 6, + 9, + 12, +15 ………..
So the missing term is = 21 + 12 = 33
Answer: A
Question: A train 110 m long is running with a speed of 60 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)2 sec
B)1 sec
C)6 sec
D)8 sec
E)12 sec
Rationale: Explanation:
Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 * 3/55 = 6 sec.
Answer: C
Answer: C
Question: If A lends Rs.25000 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Options:
A)1125
B)1225
C)1325
D)1145
E)2125
Rationale: (25000*1.5*3)/100 => 1125
ANSWER:A
Answer: A
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Options:
A)140 sq.units
B)176 sq.units
C)675 sq.units
D)169 sq.units
E)196 sq.units
Rationale: Given that the area of the square = 1225 sq.units
=> Side of square = √1225 = 35 units
The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35 = 14 units
Given that breadth = 10 units
Area of the rectangle = lb = 14 * 10
= 140 sq.units
Answer:A
Answer: A
Question: Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
Options:
A)10 am
B)12 am
C)10.30 am
D)12.30 am
E)11 am
Rationale: Assume both trains meet after x hours after 7 am
Distance covered by train starting from P in x hours = 20x km
Distance covered by train starting from Q in (x-1) hours = 25(x-1)
Total distance = 110
=> 20x + 25(x-1) = 110
=> 45x = 135
=> x= 3
Means, they meet after 3 hours after 7 am, ie, they meet at 10 am
Answer is A.
Answer: A
Question: n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
Options:
A)2
B)5
C)6
D)1
E)0
Rationale: Let n = 4q + 3. Then 2n = 8q + 6 = 4(2q + 1 ) + 2.
Thus, when 2n is divided by 4, the remainder is 2.
ANSWER A
Answer: A
Question: If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 24
III. P is a multiple of 23
Options:
A)I only
B)II only
C)III only
D)None of the above
E)All of the above
Rationale: The correct answer is B.
Answer: B
Question: In one alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 30 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
Options:
A)9.4%
B)9.33%
C)9.6%
D)9.8%
E)10%
Rationale: The amount of chromium in the new 15+30=45 kg alloy is 0.12*15+0.08*30=4.2 kg, so the percentage is 4.2/45*100=
9.33%.
Answer: B.
Answer: B
Question: What is the largest number that will divide 90207, 232585 and 127986 without leaving a
remainder?
Options:
A)257
B)905
C)351
D)498
E)398
Rationale: HCF is the best solution. bit its time taking.
see the numbers 90207 , 232585 , 127986.
choose 905. but its not possible because last digit must be 0 or 5.
choose 498. it is also not possible because last dight must be an even number.
only 2 left now.
its easy now to get the answer by division method
ans is 257.
ANSWER:A
Answer: A
Question: A single letter is selected at random from the word 'SIMS'. The probability that it is a vowel is..??
Options:
A)1/4
B)3/11
C)4/11
D)3/7
E)1/2
Rationale: total vowels = 1, total number of letters = 4
so probability = 1/4
ANSWER:A
Answer: A
Question: If 2x + 3y = 59; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
Options:
A)18
B)31
C)26
D)22
E)None of these
Rationale: On solving equation we get
x = 19, y = 7, z = 5
Answer B
Answer: B
Question: If Sharon's weekly salary increased by 16 percent, she would earn $348 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?
Options:
A) $374
B) $330
C) $385
D) $392
E) $399
Rationale: (348/116)110 =330
In this case long division does not take much time.
(348/116)=3
3*110=330(300+30)
Answer B
Answer: B
Question: The HCF and LCM of two numbers m and n are respectively 8 and 200. If m + n = 84, then 1/m + 1/n is equal to
Options:
A)1/35
B)3/50
C)5/37
D)2/35
E)None
Rationale: Answer
We have, m x n = 8 x 200 = 1600
âˆ´ 1/m + 1/n = (m + n)/mn = 84/1600 = 3/50
Correct Option: B
Answer: B
Question: 20 women can do a work in 9 days. After they have worked for 6 days. 6 more men join them. How many days will they take to complete the remaining work?
Options:
A)4:87
B)4:3
C)4:2
D)4:7
E)4:1
Rationale: (20 * 16) women can complete the work in 1 day.
1 woman's 1 day work = 1/320
(16 * 15) men can complete the work in 1 day
1 man's 1 day work = 1/240
So, required ratio = 1/240 : 1/320 = 4:3.
Answer:B
Answer: B
Question: Shipment ------No. of Defective Chips/shipment---Total Chips in shipment
S2 -------------- 5 ------------------------ ----------------------12000
S3 -------------- 6 ----------------------------------------------- 18000
S4 -------------- 4 ----------------------------------------------- 16000
A computer chip manufacturer expects the ratio of the number of defective chips to be total number of chips in all future shipments equal to the corresponding ratio for shipmemts S1,S2,S3 and S4 comined as shown in the table above. What is the expected number J of defective chips in a shipment of 60000 chips?
Options:
A)14
B)20
C)22
D)24
E)25
Rationale: I agree with your solution = 20. But the question is:
There are different combination to get 60,000 chips. For example: 1*S3 + 2*S4 + 2*S2. In this way, we ship 60,000 chips with only 6 + 4*2 + 2*2 = 18 defective chips, better than the average of 20.
The question is to find the expected number J of defective chips, i guess it assume the minimum #, therefore it might not be 20.
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Options:
A)227
B)268
C)240
D)889
E)232
Rationale: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 36 = 15
x + 300 = 540
x = 240 m.
Answer:C
Answer: C
Question: Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
Options:
A)25/39
B)25/32
C)25/22
D)25/34
E)25/333
Rationale: Explanation:
The events of selection of two person is redefined as first is a girl and second is a boy or first is boy and second is a girl or first is a girl and second is a girl.
So the required probability:
Answer: D) 25/34
Answer: D
Question: Harper's Apple Farm began expansion of it's apple harvest in 1900. From 1900 to 1950, the number of apples harvested by Harper's Apple Farm increased by 25%. From 1900 to 2000, the number of apples harvested increased by 350%. What was the percentage increase in the number of apples harvested from the year 1950 to the year 2000?
Options:
A) 100%
B) 167%
C) 260%
D) 250%
E) 500%
Rationale: Let x be the number of apples harvested in 1900; then, x + 0.25x = 1.25x is the number of apples harvested for 1900-1950, and x + 3.5x = 4.5x is the number of apples harvested for 1900-2000.
Now, percentage increase in the number of apples harvested from the year 1950 to the year 2000 is (4.5x - 1.25x)/1.25x = 2.6 = 260%
Answer is C
Answer: C
Question: If k is a non-negative integer and 30^k is a divisor of 929,260 then 3^k - k^3 =
Options:
A)0
B)1
C)45
D)130
E)520
Rationale: 9+2+9+2+6+0 = 28, so this number is not divisible by 3 and thus not divisible by 30.
Therefore, k=0
3^k - k^3 =1-0=1
The answer is B.
Answer: B
Question: If integer k is equal to the sum of all even multiples of 5 between 300 and 610, what is the greatest prime factor of k?
Options:
A)32
B)7
C)11
D)13
E)17
Rationale: if we break down what the stem is asking what is the sum of all mult of 10 between 300 and 610.
using arithmetic progression to find n : 610 = 300 + (n - 1) 10
310+ 10 = 10n
320 =10n => n = 32
the sum would be: 32* mean
mean = [610 + 300] / 2 = 455
32*455
A
Answer: A
Question: In a certain pond, 30 fish were caught, tagged, and returned to the pond. A few days later, 30 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
Options:
A)400
B)750
C)1250
D)2500
E)10 000
Rationale: If x is total number of fish in the pond :
4 = 30/x * 100
=> x = 750
So answer is B
Answer: B
Question: If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 15 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
Options:
A)25 pounds
B)46 pounds
C)150 pounds
D)100 pounds
E)146 pounds
Rationale: Since only water evaporates, then the weight of pulp (non-water) in grapes and raisins is the same. Thus 0.08*{weight of grapes}=0.8*{weight of raisins} --> 0.08x = 0.8*15 --> x = 150.
Answer: C.
Answer: C
Question: If x = 1 - q and y = 2q + 1, then for what value of q, x is equal to y ?
Options:
A)0
B)1
C)-1
D)-2
E)3
Rationale: Explanation:
x = y <=> 1 - q = 2q + 1 <=> 3q = 0 <=> q = 0.
Answer: A
Answer: A
Question: In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiples the integer on the card by the next larger integer. If each possible product is between 29 and 200, then the least and greatest integers on the card could be
Options:
A)3 and 15
B)3 and 20
C)5 and 13
D)4 and 14
E)5 and 14
Rationale: There child draws one number then multiplies that number by the number above it. The number must be more than 29 and less than 200.
x * (x+1)
Answer gives us choices of 3,4 and 5 (JUST ABOVE 29)
3*(3+1) =12 <- WRONG
4*(4+1) =20 <- WRONG
5*(5+1) =30 <- CORRECT AS IT IS ABOVE 29
Answer gives us choices 13,14,15 and 20 (BELOW 200)
Immediately by knowing squares you should be able to rule out 15 (225) and 20 (400). And common sense dictates that as 14^2 is 196 that 14*(14+1) is above 200.
13*(13+1)=182 <- CORRECT
Answer is C) 5 and 13
Answer: C
Question: The price of a consumer good increased by pp% during 20122012 and decreased by 1212% during 20132013. If no other change took place in the price of the good and the price of the good at the end of 20132013 was 1010% higher than the price at the beginning of 20122012, what was the value of pp?
Options:
A)−2%
B)2%
C)22%
D)25%
E)Cannot be determined
Rationale: As per question=> Price was simple 10 percent greater
Hence x[1+10/100] must be the final price.
Equating the two we get
=> x[110/100]=x[1+p/100][88/100]
=> 44p+4400=5500
=> 44p=1100
=> p=1100/44=> 100/4=> 25.
So p must be 25
ANSWER:D
Answer: D
Question: The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?
Options:
A)4
B)8
C)16
D)17
E)None of these
Rationale: Since the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit.
Let ten's and unit's digits be 2x and x respectively.
Then, (10 x 2x + x) - (10x + 2x) = 36
9x = 36
x = 4.
Required difference = (2x + x) - (2x - x) = 2x = 8.
Answer:B
Answer: B
Question: On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 380 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Options:
A)237
B)287
C)760
D)287
E)720
Rationale: Explanation:
Let the number of children in the school be x. Since each child gets 2 bananas, total number of bananas = 2x.
2x/(x - 380) = 2 + 2(extra)
=> 2x - 760 = x => x = 760.
Answer: C
Answer: C
Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number ?
Options:
A)69
B)78
C)96
D)Cannot be determined
E)None of these
Rationale: Solution
Let the ten's digit be x and unit's digit be y.
Then, x + y = 15 and x = y =3 or y = x = 3.
Solving x + y = 15 and x - y = 3, we get : x = 9, y = 6.
Solving x + y = 15 and y - x = 3, we get : x = 6, y = 9.
So, the number is either 96 or 69. Hence, the number cannot be determined
Answer D
Answer: D
Question: Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 35 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
Options:
A)10%
B)12%
C)15%
D)17%
E)23%
Rationale: Lets assume that candidate got 35% votes and total votes is 100.
Candidate won = 35
Remaining = 65
To get 50%, candidate requires 15 votes from 100 which is 15% and 15 votes from 65.
15/65 = 23.07
Which is approx 23%. Hence the answer is E
Answer: E
Question: How much is 25% of 40 is greater than 4/5 of 25?
Options:
A)10
B)776
C)66
D)12
E)99
Rationale: (25/100) * 40 – (4/5) * 25
10 - 20 = 10
Answer: A
Answer: A
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 4 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Options:
A)20years
B)22years
C)24years
D)25years
E)27years
Rationale: Age of the 15th student
=[15 * 15 - (14 * 4 + 16 * 9)]
= (225 - 200) = 25 years.
Answer:D
Answer: D
Question: If a,b are positive integers and a/b=87.5 which of the following could be the value of b?
Options:
A)1. 25
B)2. 26
C)3. 27
D)4. 28
E)5. 30
Rationale: Given a/b = 87.75.
this is 87 and 1/2 = 175/2
Since a and b are integers we know that whatever is the value of b, it must be divisible by 2 completely(to make a an integer)
Ans:B
Answer: B
Question: Three archers each have an equal chance of hitting a target, and if only two of the three shoot the likelihood of the two hitting the target is 4/9 . What is the likelihood of all three men missing the target?
Options:
A)1/27
B)16/81
C)8/27
D)19/27
E)26/27
Rationale: Let the probability of an archer hitting a target be xx. Then the probability of two hitting the target will be P=x∗x=49P=x∗x=49 --> x=23x=23, so the probability of an archer missing the target will be P=1−23=13P=1−23=13.
The probability of all three men missing the target will be P=(13)3=127P=(13)3=127.
Answer: A.
Answer: A
Question: An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference between Q the highest and the lowest incentive received by the 5 salesmen in the month?
Options:
A)$4000
B)$5000
C)$9000
D)$11,000
E)$13,000
Rationale: Break down the question in to steps:
Step #1: incentives received by 5 salesmen -->abcde
Step #2: mean and median of the incentives is $7000: via number properties --> total incentives = 7,000 * 5 = 35, 000ab7,000de
Step #3: only mode among the observations is $12,000: mode is the value that appears most often in a set of data. Therefore 12,000 must occur more then once and since 12,000 is larger than the mean (7,000) the most it can occur is twice in our list. If we place the numbers in ascending order we haveab7,00012,00012,000
Step #4: What is the difference between the highest and the lowest incentive:
- The total paid has to equal mean * # of numbers = 7,000 * 5 = 35 000.
- The three values we have so far (12,000 12,000 and 7, 000) equal 31,000.
- Therefore the first two numbers( ab) must equal 4, 000
- There is only one mode which is 12,000, therefore 4,000 must be equal to a set of two numbers that are not the and a < b
if a = 1,000 b = 3,000 --> difference Q between the highest and the lowest incentive = 12,000 - 1,000 =11, 000
no other options for a or b to fit the criteria
Final List:1,0003,0007,00012,00012,000
Answer D
Answer: D
Question: Two dogsled teams raced across a 300-mile course in Wyoming. Team A finished the course in 3 fewer hours than did team B. If team A’s average speed was 5 miles per hour greater than that of team B, what was team B’s average speed, in miles per hour?
Options:
A)12
B)15
C)18
D)20
E)25
Rationale: Speed of B= S
Speed of A= S+5
Time taken by B=300/S Time Taken by A= 300/(S+5)
Difference in their time is 3 hrs.
300/S - 3 = 300/(S+5)
Plug in the values from the option
No need of choosing 12 & 18 it won't satisfy
a) if we take 15 then
T(B) = 300/15 =20
T(A)= 300/20 =15. Hence from this option difference comes out to be 5 which is not correct
b) if we take 20 then
T(B) = 300/20 = 15
T(A)= 300/25 = 12
Difference in timing is 3 hence Option D is correct
Answer: D
Question: If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have?
Options:
A)Four
B)Five
C)Six
D)Seven
E)Eight
Rationale: n=8!, so it has 4 prime factors: 2, 3, 5, and 7.
Answer: A.
Answer: A
Question: A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
Options:
A)3%
B)4%
C)5%
D)6%
E)None of these
Rationale: S.I. = Rs. (15500 - 12500) = Rs. 3000.
Rate =((100 x 3000)/(12500 x 4))%	= 6%
Answer :D
Answer: D
Question: Ten cards numbered 1 to 10 are placed in a box and then one card is drawn randomly. If it is known that the number on the drawn card is more than 4, what is the probability that it is an odd number?
Options:
A)1/2
B)3/10
C)7/10
D)5/6
E)3/7
Rationale: There are 6 numbers higher than 4 and 3 of them are odd.
The probability is 3/6=1/2.
The answer is A.
Answer: A
Question: Three coins are tossed. What is the probability of getting at most two tails?
Options:
A)5/8
B)6/8
C)7/8
D)3/8
E)1/2
Rationale: Total number of outcomes possible when a coin is tossed = 2 (∵ Head or Tail)
Hence, total number of outcomes possible when 3 coins are tossed, n(S) = 2 × 2 × 2 = 8
(∵ i.e., S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH})
E = event of getting at most two Tails = {TTH, THT, HTT, THH, HTH, HHT, HHH}
Hence, n(E) = 7
P(E) = n(E)/n(S)=7/8
Answer is C.
Answer: C
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Options:
A)Rs.3988
B)Rs.3900
C)Rs.3228
D)Rs.3922
E)Rs.3928
Rationale: Area = (l + b – d) d
(80 + 60 – 10)10 => 1300 m2
1300 * 3
= Rs.3900
Answer:B
Answer: B
Question: if the ratio of two number is 3:4 and LCM of the number is 180 then what is the number.
Options:
A)15
B)20
C)25
D)30
E)35
Rationale: product of two no = lcm *hcf
3x*4x=180*x
x=15
ANSWER:A
Answer: A
Question: The edges of three metal cubes are 4 cm, 5 cm, and 6 cm respectively. A new cube is made by melting these three cubes together. What is the edge of the new cube (in centimeters)?
Options:
A)6.6
B)6.8
C)7.0
D)7.2
E)7.4
Rationale: The total volume is 4^3+5^3+6^3=405
The edge of the new cube is the cube root of 405 which is about 7.4 cm.
The answer is E.
Answer: E
Question: 1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $70, a 10% discount, plus 30% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $70, a 30% sales tax, and $10 rebate after tax
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
Options:
A)88.1
B)81.0
C)81.9
D)81.5
E)90.0
Rationale: Option 2 = (70 - 7) + 0.3 * 63= 81.90
Option 4 = 70 + 0.3 * 91 - 10
= 81
So the OA is correct - B
Answer: B
Question: A bus covers a certain distance at aspeed of 240 kmph in 5hours. To cover the same distance in 1hr, it must travel at a speed of?
Options:
A)550 km/hr
B)590 km/hr
C)600 km/hr
D)610 km/hr
E)720 km/hr
Rationale: Distance = (240 x 5) = 1200 km.
Speed = Distance/Time
Speed = 1200/(5/3) km/hr. [We can write 1 hours as 5/3 hours]
Required speed = 1200 x 3 km/hr = 720 km/hr.
5
E
Answer: E
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?Look at this series: 88, 3, 80, 12, __, 21 ... What number is missing?
Options:
A)72
B)78
C)68
D)30
E)70
Rationale: A72This is an alternating addition and subtraction series. In the first pattern, 8 is subtracted from each number to arrive at the next. In the second, 9 is added to each number to arrive at the next.
Answer: A
Question: What is the probability of getting a sum 9 from two throws of a dice?
Options:
A)1/5
B)1/9
C)1/7
D)1/12
E)1/6
Rationale: In two throws of a dice, n(S) = (6 x 6) = 36.
Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.
P(E) =	n(E)/n(S)	=	4/36	=	1/9	.
Answer : B.
Answer: B