divelab/Sys2Bench huggingface dataset:
Question: Riya and Priya set on a journey. Riya moves eastward at a speed of 24kmph and Priya moves westward at a speed of 35 kmph.How far will be priya from Riya after 45 minutes
Options:
A)25kms
B)10kms
C)50kms
D)30kms
E)44kms
Rationale: total eastward distance= 24kmph*3/4hr=18 km
total westward distance= 35kmph*3/4hr=26 km
total distn betn them= 18+26=44km
ans 44km
ANSWER:E
Answer: E
Question: At the end of the day, February 14th, a florist had 150 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 20 of which were white and 15 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?
Options:
A)50%
B)25%
C)250%
D)75%
E)80%
Rationale: R + W + P = 150
S + L = 150
1/3 * 150 = 50
Short-Stemmed White = 20
Short-Stemmed Pink = 15
=> Short-Stemmed Red =15
15/P = 15/R
=> R = P
So Total Long Stemmed = 100
And Long Stemmed Red + Long Stemmed Pink = 100
So Long Stemmed Red/Long Stemmed = ?
Total White = 20 (As no Long stemmed white)
=> R + R + 20 = 150
=> R = 130 and R = 65
Long Stemmed R = 65 - 15 = 50
So Long Stemmed Red/R = 50/100 = 50%
Answer - A
Answer: A
Question: The price of 2 saris and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Options:
A)Rs. 2400
B)Rs. 2490
C)Rs. 2500
D)Rs. 2550
E)Rs. 2600
Rationale: Let the price of a saree and a shirt be Rs. x and Rs. y respectively.
Then, 2x + 4y = 1600 .... (i)
and x + 6y = 1600 .... (ii)
Divide equation (i) by 2, we get the below equation.
=> x + 2y = 800. --- (iii)
Now subtract (iii) from (ii)
x + 6y = 1600 (-)
x + 2y = 800
----------------
4y = 800
----------------
Therefore, y = 200.
Now apply value of y in (iii)
=> x + 2 x 200 = 800
=> x + 400 = 800
Therefore x = 400
Solving (i) and (ii) we get x = 400, y = 200.
Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.
A
Answer: A
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in
Options:
A)144 mins
B)140 mins
C)136 mins
D)132 minw
E)None of these
Rationale: Explanation:
Let the slower pipe alone fill the tank in x minutes
then faster will fill in x/3 minutes.
Part filled by slower pipe in 1 minute = 1/x
Part filled by faster pipe in 1 minute = 3/x
Part filled by both in 1 minute =
1/x+3/x=1/36
=>4/x=1/36
x=36∗4=144mins
Option A
Answer: A
Question: 7 points are marked on a straight line and another 6 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)281
B)91
C)168
D)196
E)364
Rationale: Solution: select 2 from 7 and one from 6 + select 2 from 6 and 1 from 7
7C2*6C1 + 6C2*7C1
= 281
Answer : A
Answer: A
Question: 40 men shake hands with each other. Maximum no of handshakes without cyclic handshakes.
Options:
A)780
B)200
C)210
D)220
E)230
Rationale: or, if there are n persons then no. of shakehands = nC2 = 40C2 = 780
ANSWER:A
Answer: A
Question: Find the C.I. on a sum of Rs.10000 for 6 months at 20% per annum, interest being compounded halfyearly?
Options:
A)3010
B)2010
C)1000
D)3100
E)2100
Rationale: C.I.= 10000(11/10)^1-10000
= 1000
Answer: C
Answer: C
Question: A music store has 90 different CD's. If an average price is $12 per CD and 20 of the most expensive ones are $20 each, what is the average price of the remaining CD's?
Options:
A)8.33
B)8.75
C)9.23
D)9.71
E)10.07
Rationale: The sum of the prices of all CD's is (90 * $12 = $1,080).
The sum of the prices of the most expensive CD's is $400. So, ($1,080 - $400 = $680) is left for 70 remaining CD's. Thus the average price is (frac{$680}{70} = $9.71)
Answer: D
Question: Find the value of 2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
Options:
A)800
B)500
C)900
D)1600
E)None
Rationale: Answer
2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
= 2 x [(36 x 48 x 250) / (12 x 9 x 5)]
= 2 x 4 x 4 x 50 = 1600
Correct Option: D
Answer: D
Question: While camping, 3 people are to be seated around a stool. two seating arrangement are considered different only when the position of the people are different relative to each other. what is the total number of possible seating arrangement for the group?
Options:
A)a.2
B)b.10
C)c.8
D)d.32
E)e.600
Rationale: for 3 people seating arrangement around a circular stool = (3-1)!
= 2!
= 2*1
= 2
OA is A
Answer: A
Question: In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
A)5 sec
B)4 sec
C)3 sec
D)6 sec
E)1 sec
Rationale: T = 40/36 * 18/5 = 4 sec
Answer: B
Answer: B
Question: The speeds of 3 trains in the ratio 2:6:16 The ratio between time taken by them to travel the same distance is?
Options:
A)6:4:3
B)1:2:3
C)24:8:3
D)26:5:2
E)24:8:7
Rationale: Ratio of time taken is = 1/2 : 1/6 : 1/16 = 24:8:3
Answer is C
Answer: C
Question: Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 20% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?
Options:
A)$20
B)$40
C)$50
D)$80
E)$100
Rationale: cost+profit=income (selling price)
profit now = 0.5x or x-50
0.5x=x-50
50=0.5x
x=100$ is selling price
so, profit before was 0.2*100=20$
cost=100-20=80$
ANSWER:D
Answer: D
Question: On increasing the number of lines in a page by 80, they become 240. What is the % of increase in the no. of lines in the page?
Options:
A)30%
B)40%
C)50%
D)70%
E)80%
Rationale: Explanation : Number of pages increased = 80
Now , the number of pages of book = 240
Number of pages of the books before increase = 240 – 80 = 160
% increase in the number of pages in the book = 80 160
x 100% = 50%
C
Answer: C
Question: A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 100 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?
Options:
A)(B + 200)/2.
B)(B + 2)/6.
C)(2B + 200)/3.
D)(B + 2)/3.
E)(B - 2)/6.
Rationale: P = 2w - 200
thus total price in cents as given should be
2w-200 +w = 100B
3w - 200 = 100 B
3w = 100 B+200
3w =b+2 (in dollars)
w/2 = (b+2)/6
Ans:A
Answer: A
Question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Options:
A)1/49
B)1/42
C)1/09
D)1/77
E)1/12
Rationale: 2/3 * 6/7 * 1/3 * 1/8
= 1/42
Answer: B
Answer: B
Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Options:
A)1/7
B)2/7
C)3/7
D)4/7
E)None of them
Rationale: Original share of 1 person = 1/8
New share of 1 person = 1/7
Increase = (1/7 - 1/8	= 1/56)
Therefore, Required fraction = (1/56)/(1/8)	= (1/56)x (8/1)	= 1/7
Answer is A.
Answer: A
Question: A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price r of the machine?
Options:
A)	81
B)	100
C)	120
D)	135
E)	160
Rationale: Since the wholesale price was $90 and the profit was 20% of the wholesale price ([.2][90] = $18), the retail price would have to be above $108, but not that much greater than that.
Let's start by TESTing Answer C: $120....
If.....
Retail Price r= $120
10% discount off = $120 - (.1)(120) = 120 - 12 = 108
20% profit on wholesale price = 90 + (.2)(90) = 90 + 18 = 108
These two numbers MATCH, so this MUST be the answer!
Final Answer:
[Reveal]Spoiler:
C
Answer: C
Question: A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 60 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)
Options:
A)$15,360
B)$17,360
C)$18,000
D)$23,760
E)$27,360
Rationale: For every $3 earn above $9360, the recipient loses $1 of benefit.
OR
For every $1 loss in the benefit, the recipient earns $3 above $9360
If earning is; 9360+3x
Benefit = 12000-x
Or the vice versa
If benefit is 12000-x, the earning becomes 9360+3x
He lost 50% of the benefit;
Benefit Received= 12000-0.6*12000 = 12000-7200
x=4800
Earning becomes 9360+3x=9360+3*4800=23760
Ans:D
Answer: D
Question: If x^5y^4z^2 <0 , which of the following must be true?
I. xy <0
II. yz <0
III. xz <0
Options:
A)I
B)II
C)III
D)I and II
E)None
Rationale: Ans:- x^5y^4z^2 <0
x must be negative. x<0 ; y and z can be either negative or positive as even powers is always positive.
I. xy <0 :- x<0 but y can be - or + hence xy < 0 when y>0 or xy >0 when y <0. So not always true.
II. yz <0 :- As both y and z can be + or - ; yz < 0 or yz >0 are possible
II. xz <0 :- x<0 but z can be - or + hence xz < 0 when z>0 or xz >0 when z <0. So not always true.
Ans :- E
Answer: E
Question: The smallest value of n, for which 2n+3 is not a prime number, is
Options:
A)4,5
B)3,4
C)2,6
D)5,6
E)2,3
Rationale: (2Ã—1 + 3) = 5.
(2Ã—2 + 3) = 7.
(2Ã—3 + 3) = 9.
(2Ã—4 + 3) = 15.
which is not prime , n=3,4.
ANSWER:B
Answer: B
Question: The workforce of Company X is 60% female. The company hired 24 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?
Options:
A)160
B)220
C)288
D)360
E)420
Rationale: Let's xx be total quantity of employees
0.6x=females before adding men
0.55(x+24)=females after adding men
as quantity of women doesn't change we can make an equation:
0.6x=0.55(x+24)
0.05x=13.2
x=264 - this is quantity of employees before adding 24 men
So after adding it will be 288
Answer is C
Answer: C
Question: On the number line, the number p is twice as many units from -2 as -2 is from 7. If p is less than –2, what is the value of p ?
Options:
A)–20
B)–10
C)–6
D)10
E)14
Rationale: Distance between -2 and 7 = 9
Since number p is twice as many units from -2 as -2 is from 7
, therefore p can be -20 Since , p is less than -2 ,
the value of p = -20
Answer A
Answer: A
Question: There are 4 boys and 2 girls. In how many ways can they be seated in a row so that all the 4boys do not sit together?
Options:
A)450
B)330
C)576
D)712
E)496
Rationale: Total number of persons = 4+2 = 6
they can be seated in a row in 6! ways
Treat 4boys as 1 so we have 3 people can be arranged in 3! ways
4boys can be arranged among themselves in 4! ways
Required number of ways = 6!-4!*3! = 576
Answer is C
Answer: C
Question: Meg and Bob are among the 7 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
Options:
A)24
B)30
C)2520
D)90
E)120
Rationale: Total # of ways the race can be finished is 7!. In half of the cases Meg finishes ahead of Bob and in other half Bob finishes ahead of Meg. So, ways Meg to finish ahead of Bob is 7!/2=2520.
Answer: C.
Answer: C
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Options:
A)270
B)978
C)267
D)166
E)199
Rationale: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870 = 270
Answer:A
Answer: A
Question: A man bought 10 crates of mangoes for $40 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 20 percent of the total cost?
Options:
A)$6
B)$8
C)$10
D)$12
E)$14
Rationale: As given, after lost, the remaining 8 crates total cost = $40
So, 1 crate cost = 40/8 = 5
To get 20% profit, 1 crate cost should be = 5+5*20/100 =$6
Answer : A
Answer: A
Question: An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors D does the number 4x have?
Options:
A)4y
B)3y
C)16y
D)5y
E)Cannot be determined
Rationale: I tried for x=2,4 and 6. The integral factors D for x and 4x did not have any specific relation.
My answer is E.
Answer: E
Question: One ton has 2100 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
Options:
A) 1680
B) 1700
C) 2350
D) 2500
E) 8000
Rationale: 16 pounds and 4 ounces= 16*16 + 4 = 260 ounces.
13 tons = 13*2100 pound = 13*2100*16 ounces.
Hence the answer is (13*2100*16)/260 = 1680.
Answer: A.
Answer: A
Question: When positive integer N is divided by positive integer J, the remainder is 12. If N/J = 204.06, what is value of J?
Options:
A)100
B)500
C)600
D)800
E)200
Rationale: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder
So, Dividend/Divisor = Quotient + Remainder/Divisor
Given that N/J = 204.06
Here 204 is the quotient.
Given that Remainder = 12
So, 204.06= 204 + 12/J
So, J = 200
Answer: E
Answer: E
Question: The average of first 10 even numbers is?
Options:
A)226
B)27
C)27
D)11
E)99
Rationale: Sum of 10 even numbers = 10 * 11 = 110
Average = 110/10 = 11
Answer: D
Answer: D
Question: If a rectangular billboard has an area of 117 square feet and a perimeter of 44 feet, what is the length of each of the shorter sides?
Options:
A)4
B)7
C)8
D)9
E)26
Rationale: This question can be solved algebraically or by TESTing THE ANSWERS.
We're told that a rectangle has an area of 117 and a perimeter of 44. We're asked for the length of one of the SHORTER sides of the rectangle.
Since the answers are all INTEGERS, and the area is 117, the shorter side will almost certainly be less than 10 (since 10x10 = 100, but we're NOT dealing with a square). Answer B (7) does NOT divide evenly into 117, so the correct answer is
Let's TEST Answer D: 9
IF...
The shorter side = 9...
The area = 117....117/9 = 13 = the longer side
Perimeter = 9+9+13+13 = 44
D
Answer: D
Question: A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?
Options:
A)14%
B)12%
C)11%
D)22%
E)14%
Rationale: Let the interest for one year be x.
As amount = Principal + Interest, we have
P + 4x = 20720 --- (1) ; P + 6x = 24080 --- (2)
Solving the equations (1) and (2), we can get
P = Rs. 14000 and x = Rs. 1680
Interest for one year on Rs. 14000 is Rs. 1680
So, R = (100 * 1680)/(14000 * 1) = 12% p.a.
Answer:B
Answer: B
Question: The distance between Delhi and Mathura is 120 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Options:
A)40.00 a.m.
B)10.13 a.m.
C)12.00 a.m.
D)18.00 a.m.
E)19.00 a.m.
Rationale: Explanation:
D = 120 â€“ 20 = 100
RS = 20 + 25 = 45
T = 100/45 = 2 hours 13 minutes
8 a.m. + 2 hours 13 minutes = 10:13 a.m.
Answer: Option B
Answer: B
Question: A tyre has two punctures. The first puncture alone would have made the tyre flat in 8 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?
Options:
A)3 1/5min
B)3 2/5min
C)3 3/7min
D)3 4/5min
E)3 min
Rationale: Explanation:
Do not be confused, Take this question same as that of work done question's. Like work done by 1st puncture in 1 minute and by second in 1 minute.
Lets Solve it:
1 minute work done by both the punctures =
(1/8+1/6)=(7/24)
So both punctures will make the type flat in
(24/7)mins=3 3/7mins
Option C
Answer: C
Question: Jack and Lee walk around a circular track. It takes Jack and Lee respectively 6 and 10 minutes
to finish each lap. They start at the same time, at the same point on the track, and walk in the
same direction around the track. After how many minutes will they be at the same spot again
(not necessarily at the starting point) for the first time after they start walking?
Options:
A)15
B)16
C)30
D)32
E)60
Rationale: Experimenting with the numbers in turn, dividing 6 into 15 and 10 into 15, we get
answers one whole number apart, so they are together again at 15 minutes.
correct answer A
Answer: A
Question: Husband has prepared for a candle light dinner on the honeymoon for his wife. While they were having the dinner, a strong breeze flew through the open window and four candles out of ten were extinguished. After that, the husband closed the window.
How many candles were left in the end?
Options:
A)4
B)6
C)8
D)2
E)9
Rationale: A
Four
As the window was closed it is obvious that the six candles that were not extinguished were lit till they melted away entirely. Thus only four candles that were extinguished remain at the end.
Answer: A
Question: A part of certain sum of money is invested at 9% per annum and the rest at 15% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Options:
A)4:6
B)4:9
C)5:3
D)4:1
E)4:2
Rationale: 15:9
= 5:3
Answer: C
Answer: C
Question: A pair of articles was bought for $50 at a discount of 30%. What must be the marked price of each of the article?
Options:
A)$25
B)$17.50
C)$29.65
D)$35.95
E)$45.62
Rationale: S.P. of each of the article = 50/2 = $25
Let M.P = $x
70% of x = 25
x = 25*.7 =$17.50
Answer is B
Answer: B
Question: A completes a work in 4 days and B complete the same work in 8 days. If both of them work together, then the number of days required to complete the work will be
Options:
A)8 days
B)9 days
C)2.67 days
D)12 days
E)13 days
Rationale: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days
Therefore, here, the required number of days = 4 × 8/ 12 = 2.67 days.
Answer : C
Answer: C
Question: A shopping cart contains only apples, oranges, and pears. If there are three times as many oranges as apples, and four times as many pears as oranges, then the apples are equivalent to what fraction of the pears?
Options:
A)1/6
B)1/8
C)1/12
D)1/4
E)3/4
Rationale: O = 3A
P = 4O = 12A
A = P/12
The answer is C.
Answer: C
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 120 metres?
Options:
A)18
B)24
C)17
D)12
E)13
Rationale: Speed of the boat downstream = 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 120 m = 120/5 = 24 seconds.
Answer: B
Answer: B
Question: John works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 1,000 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 216,000. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.?
Options:
A)72,000
B)48,000
C)50,000
D)36,000
E)40,000
Rationale: let the rate be x, then population of the bacteria after each hour can be given as 1000, 1000x, 1000(x^2), 1000(x^3)
now population at 4pm =216,000
thus we have 1000(x^3) = 216,000 =216
thus x=6
therefore population at 3pm = 1000(36) = 36,000
Answer : D
Answer: D
Question: A boat moves downstream at the rate of 1 km in 5 mins & upstream at the rate of 4 km/hour. What is the velocity of the current?
Options:
A)2 km/hr
B)4 km/hr
C)8 km/hr
D)10 km/hr
E)12 km/hr
Rationale: Speed downstream = 1(560)=12 km/hr
Speed upstream =41 = 4 km/hr
velocity of the current =12(12−4)=4 km/hr
B
Answer: B
Question: A boy has 9 trousers and 10 shirts. In how many different ways can he select a trouser and a shirt?
Options:
A)100
B)102
C)104
D)108
E)90
Rationale: The boy can select one trouser in nine ways.
The boy can select one shirt in 12 ways.
The number of ways in which he can select one trouser and one shirt is 9 * 10 = 90 ways.
E
Answer: E
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Options:
A)18 kmph
B)17 kmph
C)24 kmph
D)19 kmph
E)12 kmph
Rationale: Total time taken = x/40 + 2x/20 hours
= 5x/40 = x/8 hours
Average speed = 3x/(x/8) = 24 kmph
Answer:C
Answer: C
Question: In how many ways can the letters of the word UWPIS be arranged in a row so that the vowels appear in alphabetic order?
Options:
A)20
B)30
C)40
D)50
E)60
Rationale: three letters can be arranged in 2! ways.
only one combination AEI is required.
5 letters can be arranged in 5! ways.
thus 5!/ 2! * 1 = 60.
E
Answer: E
Question: In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?
945678?
Options:
A)7
B)6
C)8
D)5
E)2
Rationale: Explanation:
Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.
As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3
=> x + 3 = 11 => x = 8
ANSwer: C
Answer: C
Question: To hail means to praise and acclaim and this is contrary to what has been proposed in the passage. Ask doubt using Question Id: 6305
Options:
A)22
B)99
C)82
D)27
E)26
Rationale: Answer:A
Answer: A
Question: A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a plce and come back, how far is the place?
Options:
A)2 km
B)2.4 km
C)2.5 km
D)3.4 km
E)None
Rationale: Sol.
Speed downstream = (5+1) kmph = 6 kmph; Speed upstream = (5 - 1)kmph = 4 kmph. Let the required distance be x km.
Then, x/6 + x/4 = 1 ⇔ 2x + 3x = 12 ⇔ 5x = 12 ⇔ x = 2.4 km.
Answer B
Answer: B
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
Options:
A)81:121
B)81:128
C)81:118
D)81:107
E)81:189
Rationale: Ratio of the sides = ³√729 : ³√1331
= 9 : 11
Ratio of surface areas = 92 : 112
= 81:121
Answer: A
Answer: A
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Options:
A)12:15:18
B)12:15:16
C)12:15:19
D)12:15:11
E)12:15:12
Rationale: Aman : Rakhi : Sagar = (70000 * 36) : (105000 * 30) : (140000 * 24)
= 12:15:16.Answer: B
Answer: B
Question: The average of five integers is 63, and none of these integers is greater than 100. If the average of three of the integers is 69, what is the least possible value of one of the other two integers?
Options:
A)5
B)8
C)20
D)21
E)30
Rationale: When it comes to averages, we know thataverage value = (sum of n values)/n
We can rewrite this into a useful formula:sum of n values = (average value)(n)
The average of five integers is 63
So, the sum of ALL 5 integers = (63)(5) =315
The average of three of the integers is 65
So, the sum of the 3 integers = (69)(3) =207
So, the sum of the 2 REMAINING integers =315-207=108
If the sum of the 2 REMAINING integers =108, and we want to minimize one value, we must MAXIMIZE the other value.
100 is the maximum value so let 1 integer = 100, which means the other must equal 8
Answer: B
Answer: B
Question: Fill in the sequence:
1 5 9 15 ?
Options:
A)11
B)41
C)51
D)21
E)31
Rationale: D
21
Position of the vowels a e i o u.
Answer: D
Question: Find the odd man out. 2, 3, 5, 9, 12, 17, 23
Options:
A)12
B)9
C)23
D)2
E)3
Rationale: Explanation :
2
2 + 1 = 3
3 + 2 = 5
5 + 3 = 8
8 + 4 = 12
12 + 5 = 17
17 + 6 = 23
ie, 8 should have come in place of 9
Answer : Option B
Answer: B