divelab/Sys2Bench huggingface dataset:
Question: Mr. Jones sold two pipes at $2 each. Based on the cost, his profit one was 40% and his loss on the other was 20%. On the sale of the pipes. Find the amount of his profit or loss?
Options:
A)lost 10 cents
B)lost 4 cents
C)broke even
D)gained 40 cents
E)gained 10 cents
Rationale: 40 % profit on $ 2
= $ 40/100 × 2
= $ 0.40 × 2
= $ 0.80
Similarly, 20 % loss on $ 2
= $ 20/100 × 2
= $ 0.20 ×2
= $ 0.40
Therefore, in one pipe his profit is $ 0.80 and in the other pipe his loss is $ 0.40
so profit is 40 cents..
Answer is D.
Answer: D
Question: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Options:
A)20
B)99
C)77
D)63
E)61
Rationale: Let the time taken to reach the destination be 3x hours. Total distance = 40 * 3x = 120x km
He covered 2/3 * 120x = 80x km in 1/3 * 3x = x hours So, the remaining 40x km, he has to cover in 2x hours. Required speed = 40x/2x = 20 kmph.
Answer: A
Answer: A
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Options:
A)Rs.900
B)Rs.875
C)Rs.850
D)Rs.860
E)Rs.870
Rationale: CP = SP + 1CP = SP - g
800 + x = 980 - 2x
3x = 180 => x = 60
CP = 800 + 60 = 860
ANSWER:D
Answer: D
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 3% 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)22.04%
B)16.12%
C)12.5%
D)18.25%
E)10%
Rationale: Per quarter, interest = 3% So for a year, interest = 12% Due to quarter cumulation, effective yield (YTM) would be slight higher than 12% Answer = 12.5% =ANSWER:C
Answer: C
Question: If 9 is a factor of 2z, then which of the following may not be an integer?
Options:
A)6z/54 + 2z/3
B)(4z-18)/9
C)(2z+27)/9
D)(81-4z^2)/81
E)(2z-3)/3
Rationale: I got the right answer A after plugging in 18 for z.
While going through Kaplan's explanation, I couldn't understand the part about choice A.
"6z/54 + 2z/3 = 3/6 * 2z/9 + 2z/3.
Since 9 is a factor of 2z, 3 is also factor of 2z. So 2z/3 is an integer, as is 2z/9. But 3/6 = 1/2, so if 2z/9 is not even, the expression 3/6 * 2z/9 will not be even."
But, isn't 2z/9 always even? 9 is a factor of 2z, which means that we could have 2(9), 2(2)(9), 2(3)(9), and so forth. The 9 in the denominator cancels out the 9 in the numerator. So we are left with 2 * something. So 2z/9 is even.A
Answer: A
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1290, find the loss %?
Options:
A)14%
B)16%
C)17%
D)78%
E)28%
Rationale: 1500 ---- 210
100 ---- ? => 14%
Answer:A
Answer: A
Question: 7, 14, 35, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence?
Options:
A)224
B)259
C)322
D)686
E)841
Rationale: Simplifying the question into easier words we just need to find which of the numbers is not divisible by 7
clearly the answer is 841 because if we divide 841 by 4 we get a remainder of 1
Correct answer - E
Answer: E
Question: A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?
Options:
A)4 days
B)6 days
C)7 days
D)1 days
E)3 days
Rationale: A
4 days
2/5 + (2 + x)/10 = 1 => x = 4 days
Answer: A
Question: There are how many 4-digit even numbers if the first digit cannot be a zero?
Options:
A)3,600
B)3,645
C)4,500
D)4,999
E)5,000
Rationale: FIRST, lets write down the restrictions
1) these are four digit even numbers, so first digit can be 1 to 9, and the units digit can be 2,4,6,8, or 0..
2) any number of repetition can be done..
Now, lets work out a solution on these restrictions
1) units digit= any of five even digits.. 0,2,4,6,8..
2) at tens and hundreds position any of the ten digits can be placed ..
3) at thousands place, any of the 10 except 0 can be placed...
the ways= 5*10*10*9= 4500
another way
1) what are the different ways without any restriction =10*10*10*10=10,000..
2) out of these ways in which first digit is 0...= 1*10*10*10=1000..
3) Remaining= 10000-1000=9000
4) Half of 9000 will be even and other half odd.. so even = 9000/2=4500..
Ans C
Answer: C
Question: If two painters can complete two rooms in two hours, how many hours 10 painters would it take to do 20 rooms?
Options:
A)4
B)3
C)5
D)8
E)7
Rationale: Explanation:
Two painters can complete two rooms in two hours.So 20 rooms can be painted in 4 hrs by 10 painters
Answer: A) 4 painters
Answer: A
Question: A ball is bought for Rs.400 and sold at a gain of 35% find its selling price?
Options:
A)A)Rs.480/-
B)B)Rs.490/-
C)C)Rs.500/-
D)D)Rs.520/-
E)E)Rs.540/-
Rationale: 100 % ------> 400 (100 * 4 = 400)
135 % ------> 540 (120 * 4 = 540)
Selling price = Rs.540/-
E
Answer: E
Question: Fom the integer n, if n*n*n is odd, then what is true from below options?
Options:
A)n is odd and n*n is even
B)n is even
C)n is odd
D)n*n is odd
E)n*n is even
Rationale: n is odd and n*n is even
Option A
Answer: A
Question: At the beginning of 2007, Atlantis Investing had 7000 Stocks and 5000 Dividends. At the end of 2007, Atlantis Investing had 9500 Stocks and 8000 Dividends. By approximately what percent did the ratio of Stocks to Dividends decrease from the beginning to end of the year
Options:
A)0.6%
B)3.2%
C)7.8%
D)15.2%
E)30.4%
Rationale: Beginning: stocks/dividend = 7000/5000 =560/400
Ending: stocks/dividend = 9500/8000 =475/400
ASIDE: It's useful to write both ratios with the same denominator. This allows us to IGNORE the denominator and focus solely on the numerators.
So, our ratio went from 560/400 to 475/400
Ignoring the denominators, we went from 560 to 475
The percent change = 100(difference in values)/(original value)
= (100)(560-475)/560
= (100)(85)/560)
= (100)(0.152)
≈ 15.2...
Answer: D
Answer: D
Question: The difference of two numbers is 1465. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Options:
A)A)270
B)B)280
C)C)290
D)D)300
E)E)310
Rationale: Let the smaller number be x. Then larger number = (x + 1465).
x + 1465 = 6x + 15
5x = 1450
x = 290
Smaller number = 290.
C)
Answer: C
Question: A train running at a speed of 36 km/h passes an electric pole in 14 seconds. In how many seconds will the whole train pass a 360-meter long platform?
Options:
A)44
B)46
C)48
D)50
E)52
Rationale: Let the length of the train be x meters.
When a train crosses an electric pole, the distance covered is its own length x.
speed = 36 km/h = 36000 m / 3600 s = 10 m/s
x = 14 * 10 = 140 m.
The time taken to pass the platform = (140 +360)/ 10 = 50 seconds
The answer is D.
Answer: D
Question: In what time will a train 350 m long cross an electric pole, it its speed be 144 km/hr?
Options:
A)2.5 sec
B)2.95 sec
C)1.3 sec
D)8.75 sec
E)1.85 sec
Rationale: Speed = 144 * 5/18
= 40 m/sec
Time taken = 100/40
= 8.75 sec.
Answer:D
Answer: D
Question: In a certain growth fund, 3/5 of the investment capital is invested in stocks, and of that portion, 1/3 is invested in preferred stocks. If the mutual fund has $841,000 invested in preferred stocks, what is the total amount of money invested in the fund?
Options:
A)$1,974,000
B)$2,538,000
C)$3,264,000
D)$3,826,000
E)$4,205,000
Rationale: Portion invested in preferred stock = 3/5 * 1/3 = 1/5
1/5 of fund = 841---
Fund = 5 * 841---
Here, we can avoid the math and simply look at 5 * 1 -> 5. Only option E has 5 in it.
Answer (E).
Answer: E
Question: What is the probability of getting a sum 9 from two throws of a dice?
Options:
A)1/9
B)3/8
C)1/18
D)2/15
E)6/10
Rationale: Two throws of a die = (6*6) = 36
Event of sum = ((3,6),(4,5),(5,4),(6,3))
P= 4/36 ==> 1/9
ANSWER A
Answer: A
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2400?
Options:
A)s.800
B)s.810
C)s.820
D)s.900
E)s.920
Rationale: 2400 * 1/3 = 800
Option A
Answer: A
Question: A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 15 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount?
Options:
A) $130.00
B) $145.60
C) $154.70
D) $182.00
E) $210.00
Rationale: Since the question is essentially just about multiplication, you can do the various mathstepsin a variety of ways (depending on whichever method you find easiest).
We're told that the first discount is 10% to 30%, inclusive. We're told that the next discount is 20% off of the DISCOUNTED price....
We're told to MAXIMIZE the discount (thus, 30% off the original price and then 20% off of the discounted price). Thatmathcan be written in a number of different ways (fractions, decimals, etc.):
30% off = (1 - .3) = (1 - 30/100) = (.7) and the same can be done with the 20% additional discount...
The final price of an item that originally cost $260 would be.....
($260)(.7)(.85) =
($260)(.595)=154.7
Final Answer:
C
Answer: C
Question: On dividing 95 by a number, the quotient is 6 and the remainder is 5. Find the divisor.
Options:
A)14
B)15
C)16
D)17
E)18
Rationale: d = (D-R)/Q
= (95 - 5)/6
= 90/6 = 15
B
Answer: B
Question: A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
Options:
A)400
B)197
C)278
D)270
E)279
Rationale: 2000 ---- 50
2000 ---- 40
x ----- 50
x*50 = 2000*40
x=1600
2000
-------
400
Answer: A
Answer: A
Question: The sum of first 45 natural numbers is:
Options:
A)1035
B)1040
C)1042
D)1045
E)1050
Rationale: Let Sn =(1 + 2 + 3 + ... + 45). This is an A.P. in which a =1, d =1, n = 45.
Sn = n [2a + (n - 1)d] = 45 x [2 x 1 + (45 - 1) x 1] = 45 x 46 = (45 x 23)
2 2 2
= 45 x (20 + 3)
= 45 x 20 + 45 x 3
= 900 + 135
= 1035.
Shorcut Method:
Sn = n(n + 1) = 45(45 + 1) = 1035.
2 2
A
Answer: A
Question: How many positive integers less than 243 are multiple of 4 but NOT multiples of 6?
Options:
A)20
B)31
C)42
D)40
E)64
Rationale: 240/4=60
Multiples of 4 which are a multiple of 6 will be of the form 2*2*3=12n where n>0
240/12=20
60-20=40
Answer: D
Answer: D
Question: A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleble and there are 13 unsaleable mangoes in the crate then how msny mango are there in the crate?
Options:
A)100 mangoes
B)110 mangoes
C)120 mangoes
D)130 mangoes
E)125 mangoes
Rationale: 130 mangoes
ANSWER:D
Answer: D
Question: The price of a certain television set is discounted by 10 percent, and the reduced price is then discounted by 10 percent. This series of successive discounts is equivalent to a single discount of
Options:
A)20%
B)19%
C)18%
D)11%
E)10%
Rationale: Say the original price of the TV was $p, then the final price would be (0.9p)∗0.9=0.81p. Therefore the original price was discounted by 19%.
Answer: B.
Answer: B
Question: Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?
Options:
A)2/7
B)3/8
C)3/10
D)4/11
E)5/13
Rationale: Here, S = [1, 2, 3, 4, …., 19, 20]
Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18]
P (E) = n (E) / n (S) = 6 / 20 = 3/10
C
Answer: C
Question: For which of the following values of s is (50+s)/s an integer?
Options:
A)3
B)4
C)9
D)11
E)50
Rationale: For this entity to be an integer, 50 + s should be divisible by s
Option A: 53/3 - Not an Integer
Option B: 54/4 - Not an Integer
Option C: 59/9 - Not an integer
Option D: 61/11 - Not an integer
Option E - 100/50 - Integer
Correct Option: E
Answer: E
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Options:
A)Rs.9680
B)Rs.9860
C)Rs.9380
D)Rs.9800
E)None of these
Rationale: Explanation:
(8000*3*2)/100 = 480
9200
--------
9680
ANSWER IS A
Answer: A
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Options:
A)8%
B)15%
C)45%
D)52%
E)56%
Rationale: First $20 million: royalties/sales ratio = 3/20 = 36/240
Next $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240
Answer: C
Answer: C
Question: In how many different ways can change be provided for a one dollar bill using pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents), if at least two of each type of coin must be included?
Options:
A)0
B)6
C)8
D)10
E)15
Rationale: I. Case I = Four Quarters = this is impossible, because if we already have a dollar in quarters, then we cannot have any other coins. We cannot have all four coins represented if we have four quarters.
Case I does not allow any ways.
II. Case II = Three Quarters (75 cents)
This does not allow for two each of the other coins.
Case II does not allow any ways.
III. Case III = Two Quarters (50 cents)
This allows for 2-3 dimes.
Subcase 1 = 2 Q, 3 D (80 cents)
(2 ways) we could have 2-3 nickels
Subcase 2 = 2 Q, 2 D (70 cents)
(4 ways) we could have 2-5 nickels
Case III allows for a total of 6 ways
There's no other case, because we have to have at least two quarters and two dimes. The total over the cases equals
Total = 0 + 0+ 6 =6 ways.
OA =(B)
Answer: B
Question: What is the remainder when 570 is divided by 6?
Options:
A)1
B)2
C)3
D)4
E)45
Rationale: Explanation:
52 = 25, on division by 6, the remainder is 1.
53 = 125, on division by 6, the remainder is 5.
54 = 625, on division by 6, the remainder is 1.
55 = 3125, on division by 6, the remainder is 5.
Hence, for 5 (2x) on division by 6, the remainder is 1, and for 5(2x-1) on division by 6, the remainder is 5.
Therefore, for 570, on division by 6, the remainder is 1.
ANSWER:A
Answer: A
Question: If the Valentine's Day in 2005 falls on Monday, then on which day will the Valentine's Day fall on 2010?
Options:
A)Monday
B)Tuesday
C)SUNDAY
D)Wednesday
E)Friday
Rationale: each year have 365 days so 365/7 =1 remainder means there is one odd day in a year.... suppose there is sunday on 1 jan 2009 then on 1st jan 2010 there must be MONDAY...
on14 feb 2005 there was Monday
on14 feb 2006 there was Tuesday
on14 feb 2007 there was Wednesday
on14 feb 2008 there was Friday because this was leap year which contain2 odd days.
on14 feb 2009 there was Saturday
on14 feb 2010 there was SUNDAY.
ANSWER:C
Answer: C
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
Options:
A)277 m
B)166 m
C)175 m
D)677 m
E)776 m
Rationale: RS = 40 – 22 = 18 * 5/18 = 5 mps
T = 60 sec
D = 5 * 60 = 300 m
125
--------
175 m
Answer:C
Answer: C
Question: Including Cara and Dan, there are seven members on the board of directors for a company. If the board is to be split up into a five-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?
Options:
A)3/5
B)5/6
C)4/5
D)3/4
E)2/3
Rationale: The number of possible subcommittees with Cara is 6C4=15.
The number of possible subcommittees with Cara and Dan is 5C3=10.
The fraction of Cara's subcommittees which include Dan is 10/15=2/3.
The answer is E.
Answer: E
Question: A shoemaker can make 10 shoes per day. One-fifth of the shoes produced are defective and one-quarter of all shoes produced are rejected. If one-tenth of the nondefective shoes are rejected by mistake, and if all the shoes not rejected are sold, then what percent of the shoes sold are defective?
Options:
A)1%
B)2%
C)3%
D)4%
E)5%
Rationale: We have 20% defective and 80% non-defective; we have 25% rejected and 75% not rejected. We also know that 1/10 of the non-defective ones (8%) are rejected, so 72% sold. This means that we have 3% sold that are defective and 17% rejected that are defective. Overall, we have 3%/75% or 1 of every 25 that are sold (not rejected) and defective. Correct answer is D
Answer: D
Question: 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, (...)
Options:
A)53
B)47
C)48
D)59
E)71
Rationale: Explanation :
All are prime numbers in their order, starting from 23
Hence, next number is 71
Answer : E
Answer: E
Question: There is a train and car. The ratio btw the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 480km in 8h. The speed of the bus is 3/4th of the speed of the train. How much distance will the car cover in 6h?
Options:
A)300 km
B)320 km
C)370 km
D)430 km
E)450 km
Rationale: Sol. Speed of bus = 480/8 = 60km/ h
Speed of train = (60*4)/3=80 km / h
Speed of train : Speed of car = 16 : 15
Speed of car =80/16 * 15 = 75 km/ h
Distance covered by car in 6 hr = 75 × 6 = 450 km
E
Answer: E
Question: Set E consists of 19 elements. The average of set E is L. If a new element is added to the set and the average grows by K, what is the value of the new element?
Options:
A)a) L(1 + K / 5)
B)b) L * (K/100) - 20L
C)c) 20L(1+K/100)
D)d) 20(1+K/100)-19L
E)e) L*(K/5)-19
Rationale: Let's assume the value of new element to bea. So converting the word problem into equation,
(19*L + a) / (19 + 1) = L + k ==> after solving the equation we will get a (value of newly added element) = L + 20K
But according to the answer options, problem writer wanted to conveyk% percent rise in average value.
If we consider this case than resulting equation will be,
(19*L + a) / ( 19+1 ) = L + (K/100)*L ==> 19L + a = 20 [ L + KL/100]
==> a= 20L + KL/5 -19L
==> a= L + KL/5 , which is equivalent to option [A]
Answer: A
Question: When a certain shoe store reduces the price of its best-selling style of shoe by 10 percent, the weekly sales of this style increase by 40 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?
Options:
A)Revenue decreases by 10%
B)Revenue decreases by 26%
C)There is no change in revenue
D)Revenue increases by 26%
E)Revenue increases by 10%
Rationale: Old price = 10, old sales = 10 --> old revenue = 100;
New price = 9, new sales = 14 --> new revenue = 126.
Revenue increased by 26%.
Answer: D.
Answer: D
Question: A florist has 2 azaleas, 4 buttercups, and 6 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet?
Options:
A)1/2
B)2/3
C)7/11
D)17/33
E)37/66
Rationale: The probability that two of the same flowers were chosen:
P(AA) = 2/12 * 1/11 = 2/132
P(BB) = 4/12 * 3/11 = 12/132
P(PP) = 6/12 * 5/11 = 30/132
The sum of these probabilities is 1/3
P(two flowers are different) = 1 - 1/3 = 2/3
The answer is B.
Answer: B
Question: Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 40 pages per hour. Michelle begins reading a copy of the same book at 6: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?
Options:
A)7: 00 a.m.
B)12: 30 a.m.
C)7: 45 p.m.
D)8: 00 p.m.
E)8: 30 p.m.
Rationale: M gains 50-40=10 pages per hour on R
at 6pm R has read 60 pages and M is 60+5=65 pages behind him
time=65/10=6.5 hours
they are on the same page at 12:30 a.m.
B
Answer: B
Question: If 102y = 25, then 10-y equals ?
Options:
A)2/5
B)1/5
C)3/5
D)1/50
E)1/25
Rationale: 102y = 25
(10y)2 = 52
10y = 5
1/10y = 1/5
10-y = 1/5
Answer is B.
Answer: B
Question: A bag holds 4 red marbles and 5 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?
Options:
A)1/10
B)1/6
C)3/10
D)2/5
E)1/4
Rationale: probability of selecting first red marble = 4/9
probability of selecting second red marble without replacement = 3/8
final probability = 4/9 * 3/8 = 1/6
The correct answer is B.
Answer: B
Question: A merchant has selected two items to be placed on sale, one of which currently sells for 40 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
Options:
A)40 %
B)50%
C)60%
D)30%
E)20%
Rationale: Expensive item = $100;
Cheap item = $60;
We must increase $60 to $100, so by $40, which is approximately 60% increase: (100-60)/60 = 2/3 = ~0.66.
Answer: C.
Answer: C
Question: Speed of a boat in standing water is 7kmph and speed of the stream is 1.5kmph. A man can rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is?
Options:
A)32.44hours
B)31.44hours
C)30.44hours
D)29.44hours
E)28.44hours
Rationale: Speed upstream = 5.5kmph
Speed downstream = 8.5kmph
Total time taken = 105/5.5 + 105/8.5 = 31.44 hours
Answer is B
Answer: B
Question: A student gets 60% in one subject, 80% in the other. To get an overall of 75% how much should get in third subject.
Options:
A)75%
B)25%
C)85%
D)55%
E)65%
Rationale: Let the 3rd subject % = x
60+80+x = 3*75
140+x = 225
x = 225-140 = 85
Answer : C
Answer: C
Question: The radius of the cylinder and cone are equal. find its volumes ratio
Options:
A)1:3
B)3:1
C)5:1
D)1:5
E)None of them
Rationale: radius of the cylinder = radius of the cone
πr(power2)h = 1/3 πr(power2)h 1 : 1/3
3 : 1
Answer is B.
Answer: B
Question: Working alone, machine X can manufacture 1,000 nails in 20 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
Options:
A)3 9/17
B)5 1/3
C)7
D)7 1/5
E)6 2/3
Rationale: rate of machine x = 1000/20
(1000/20 + y)5=1000
y=150
150 * t = 1000
t=6 2/3
E. 6 2/3
Answer: E
Question: I. w-14, w, w, w, w+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
Options:
A)I, II, III
B)I, III, II
C)II, III, I
D)III, I, II
E)III, II, I
Rationale: S.D is a non-negative entity. Also, for a given set with all the elements same, the S.D is Zero(It is zero even if there is only one element in the set too). From the given sets, we can see that the last set has a standard deviation of zero. Also, because the other sets can not have all the terms equal for any values of w or b, thus the S.D for the third set(III) has to be the minimum. Select the option which has III in the end.
A.
Answer: A
Question: Find a sum for first 4 prime number'ss?
Options:
A)18
B)12
C)30
D)17
E)36
Rationale: Required sum = (2 + 3 + 5 + 7) = 17
Note: 1 is not a prime number
Option D
Answer: D
Question: While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 8° east of north, in what direction was it originally flying?
Options:
A)(a) 30° west of north
B)(b) 30° east of north
C)(c) 17° west of north
D)(d) 17° east of north
E)(e) 5° west of north
Rationale: If after a turn of 25° you are 8°NEast, with a 17° turn you would be perfectly pointing at north. So you were, before the turn, 17° to the other side (West).
Answer C)
Answer: C
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Options:
A)90
B)30
C)20
D)50
E)73
Rationale: Explanation:
M = 15
S = 5
DS = 15 + 5 = 20
Answer:C
Answer: C