divelab/Sys2Bench huggingface dataset:
Question: Find the ones digit of 73^300
Options:
A)3
B)5
C)6
D)7
E)10
Rationale: Cyclicity of 3 is 3,9,7,1after 4 multiplication again the cycle repeats.
So divide 330 by 4 and we get 87 as quotient and 2 as remainder. So cycle will run for 87 times and then 2 times more. So pick up the 2nd item from the cycle.
Hence Answer E.
Answer: E
Question: If the mean of numbers 28, x, 42, 78 and 104 is 62, then what is the mean of 128, 255, 280, 511, 1023 and x?
Options:
A)395
B)375.8
C)355
D)415
E)365
Rationale: The mean of numbers 28, x, 42, 78 and 104 is 62: 28+x+42+78+104=62*5 --> x=58;
So, the mean of 128, 255, 511, 1023 and x is (128+255+280+511+1023+58)/6=375.8.
Answer: B.
Answer: B
Question: What is the equation of a circle of radius 4 units centered at (3, 2)?
Options:
A)x^2 + y^2 + 6x – 4y = 23
B)x^2 + y^2 - 6x + 4y = 23
C)x^2 + y^2 - 6x – 4y = 3
D)x^2 + y^2 - 6x – 4y = - 23
E)x^2 + y^2 + 6x + 4y = 23
Rationale: the equation of a circle with center at (a,b) and radius R is (X-a)^2+(Y-b)^2=R^2
=> answer = (X-3)^2+(Y-2)^2=4^2
solving,,we get the equation in answer choice C
Answer: C
Question: If green means red, red means yellow, yellow means blue, blue means orange and orange means green, what is the colour of leaf ?
Options:
A)Red
B)Green
C)Yellow
D)Orange
E)Pink
Rationale: Explanation:
The colour of leaf is 'green' and as given 'orange' means 'green'.
so, the colour of leaf is 'red'.
Answer: D
Answer: D
Question: A committee of 4 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?
Options:
A)1/28
B)12/14
C)1/14
D)4/28
E)3/14
Rationale: 3/8*4/7*1/6*4! = 3/14. We are multiplying by 4! because we can choose secretary,economist, and accountant is several way:
Answer: B.
Answer: B
Question: How many positive integers less than 500 can be formed using the numbers 1, 2, 3 and 5 for the digits?
Options:
A)48
B)52
C)66
D)68
E)84
Rationale: Notice that we can find the number of 2 and 3 digit numbers by just assuming the first digit can also be zero:
0 1 1
1 2 2
2 3 3
3 5 5
Number of possibilities = 4*4*4 = 64.
Then, just add up the number of 1 digits numbers = 4, so total is 64+4 = 68.
Answer: D
Answer: D
Question: In a mixed college 160 students are there in one class. Out of this 160 students 3/4 students are girls. How many boys are there ?
Options:
A)40
B)60
C)80
D)120
E)140
Rationale: Total Number of Students :160
Total Girls : 160*3/4 =120
Total Boys : 160-120 = 40
Answer is A
Answer: A
Question: What is the sum of odd integers from 35 to 95, inclusive?
Options:
A)2,015
B)1,500
C)1,240
D)1,120
E)1,100
Rationale: Number of odd integers = (95-35)/2 + 1
= 60/2 + 1
= 31
Sum of odd integers = (35+95)/2 * 31
=2015
Answer A
Answer: A
Question: A boat can move upstream at 25 kmph and downstream at 37 kmph, then the speed of the current is?
Options:
A)5
B)6
C)7
D)54
E)3
Rationale: US = 25
DS = 37
M = (37 - 25)/2 = 6.Answer:B
Answer: B
Question: A leak in the bottom of a tank can empty the tank in 6 hrs. An pipe fills water at the rate of 4 ltrs/ minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hrs. The capacity of the tank is?
Options:
A)2345
B)3456
C)4567
D)4890
E)5760
Rationale: 1/x - 1/6 = -1/8
x = 24 hrs
24 * 60 * 4 = 5760
E
Answer: E
Question: The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 7000, brokerage being 1/4%, is:
Options:
A)96.97
B)114
C)114.75
D)124
E)124.75
Rationale: Face Value = Rs. 7000.
Dividend = 10.5%.
Annual Income = Rs. 756.
Brokerage per Rs. 100 = Rs. 0.25.
Dividend is always paid on the face value of a share.
Face Value * Dividend / (Market Value + Brokerage per Rs. 100) = Annual income.
= 7000 * 10.5 / 756 = Market Value of Rs. 100 stock + Brokerage per Rs. 100.
= Market Value of Rs. 100 stock + Brokerage per Rs. 100 = Rs. 97.22.
= Market Value of Rs. 100 stock = Rs. 97.22 - Re. 0.25.
= Market Value of Rs. 100 stock = Rs. 96.97
answer : A
Answer: A
Question: Peter got a weekly raise of $680. If he gets paid every other week, write an integer describing how the raise will affect his paycheck.
Options:
A)860
B)806
C)608
D)680
E)850
Rationale: Let the 1st paycheck be x (integer).
Peter got a weekly raise of $ 680.
So after completing the 1st week she will get $ (x+680).
Similarly after completing the 2nd week he will get $ (x + 680) + $ 680.
= $ (x + 680 + 680)
= $ (x + 1360)
So in this way end of every week her salary will increase by (D)$ 680.
Answer: D
Question: What is the normal price of an article sold at $126 after two successive discounts of 10% and 20%?
Options:
A)$155
B)$165
C)$175
D)$185
E)$195
Rationale: 0.8*0.9*cost price = $126
cost price = $175
The answer is C.
Answer: C
Question: If x and y are integers such that x > y, which of the following CANNOT be a positive integer?
I. y(y – x)
II. y(x – y)
III. (x - y)/(y - x)
Options:
A)I only
B)II only
C)III only
D)I and II only
E)II and III only
Rationale: lets see the three equations..
I. y(y – x)
if both x and y are negative number, y will be -ive and y-x, as numeric value of y will be more than x,will also be -ive... so out
II. y(x – y)
if both x and y are +ive number, y will be +ive and x-y will also be positive... so out
III. (x - y)/(y - x)
either one of the numerator and denominator will be -ive and the other +ive..
so will always be -ive
we need not see any further after checking for II as all choices except C are eliminated..
ANSWER:C
Answer: C
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Options:
A)Rs.7500
B)Rs.7509
C)Rs.7508
D)Rs.7597
E)Rs.7523
Rationale: A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3
B's share = 25000 * 3/10 = Rs.7500.
Answer: A
Answer: A
Question: A grocer has a sales of Euro 220, Euro 320, Euro 480, Euro 120and Euro 720 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Euro 920?
Options:
A)uro 4691
B)uro 4591
C)uro 3591
D)uro 7791
E)uro 3660
Rationale: E
Euro 1860
T otal sale for 5 months = Euro (220 + 320 + 480 + 120 + 720) = Euro 1860.
Required sale = Euro [ (920 x 6) - 1860]
= Euro (5520 - 1860)
= Euro 3660.
Answer is E
Answer: E
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
Options:
A)12
B)14
C)17
D)24
E)27
Rationale: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 4 ways. The second in 3 ways and the third in 2 ways. But fundamental principle, (4 x 3 x 2) ways = 24 ways
4: Or 4p = — 4:- 4X3X2X1- 24 ways
D
Answer: D
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Options:
A)2277
B)2667
C)3600
D)2766
E)1811
Rationale: P = 144(100/5)2 => P = 3600
Answer: C
Answer: C
Question: The mean of 50 observations was 39. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
Options:
A)35.2
B)36.1
C)36.5
D)39.1
E)None
Rationale: Sol.
Therefore correct sum
= ( 39 × 50 + 48 – 23)
= 1975.
Therefore correct mean
= 1975 / 50
= 39.5.
Answer E
Answer: E
Question: Six students - 3 boys and 3 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?
Options:
A)12
B)36
C)72
D)240
E)720
Rationale: in order not to have two boys or two girls next to one another, we must make an alternate sitting arrangement. (B-G-B-G-B-G) or (G-B-G-B-G-B).
Total ways = 2C1*3!*3!
=2*6*6
=72
Ans - C
Answer: C
Question: Mohit sold an article for Rs. 18000. Had he offered a discount of 19% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Options:
A)13500
B)27767
C)16688
D)26678
E)19987
Rationale: Let the CP be Rs. x.
Had he offered 19% discount, profit = 8%
Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 19/100(18000) = Rs. 14580
=> 1.08x = 14580
=> x = 13500
\Answer: A
Answer: A
Question: A reduction of 25% in the price of apples would enable a man to obtain 36 more for Rs.25, what is reduced price per dozen?
Options:
A)2
B)3
C)6
D)7
E)10
Rationale: A
25*(25/100) = 6 --- 36
? --- 12 => Rs.2
Answer: A
Question: The average speed of a car decreased by 3 miles per hour every successive 8-minutes interval. If the car traveled 4.4 miles in the sixth 8-minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval?
Options:
A)35
B)40
C)48
D)51
E)54
Rationale: (4.4 miles / 8 minutes)*60 minutes/hour = 33 mph
Let x be the original speed.
x - 5(3) = 33
x = 48 mph
The answer is C.
Answer: C
Question: Find the value of x in 3(x-8)=24
Options:
A)8
B)12
C)16
D)20
E)24
Rationale: 3(x-8)=24
Dividing both sides with 3 gives x-8=8
Adding both sides with 8 gives x=16
Answer: C
Answer: C
Question: Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 65 and the turban. Find the price of the turban.
Options:
A)27
B)36
C)29
D)10
E)11
Rationale: Let the price of turban be x.
Thus, for one year the salary = (90 + x)
For 9 months he should earn 3434 (90 + x).
Now he gets one turban and Rs. 65.
Thus, 3434 (90 + x) = 65 + x or 270 + 3x = 260 + 4x or x = 10
Answer:D
Answer: D
Question: Three numbers are in the ratio 1 : 2 : 3 and their H.C.F. is 12. The numbers are :
Options:
A)4, 8, 12
B)5, 10, 15
C)10, 20, 30
D)12, 24, 36
E)None of these
Rationale: Explanation:
Let the required numbers be x, 2x and 3x.
Then, their H.C.F = x. So, x = 12.
The numbers are 12, 24 and 36.
ANSWER IS D
Answer: D
Question: The cost per unit of electricity during a 4 year period is as follows: Year 1, $3 per unit; Year 2, $4 per unit; Year 3, $5 per unit; Year 4, $6 per unit. If a factory spent equal dollars on electricity each year, what was the average cost of a unit of electricity during the 4 year period?
Options:
A)$4.31
B)$4.51
C)$4.21
D)$5.21
E)$5.61
Rationale: Let money spent each year = $60
Units bought first year = 20
Units bought second year = 15
Units bought third year = 12
Units bought fourth year = 10
Total number of units = 57
Total money spent = 60*4 = 240
Average = 240/57 = 4.21
Answer : C
Answer: C
Question: If P is a prime number greater than 3, find the remainder when P^2 + 14 is divided by 12.
Options:
A)6
B)1
C)3
D)8
E)7
Rationale: Every prime number greater than 3 can be written 6N+1 or 6N-1.
If P = 6N+1, then P^2 + 14 = 36N^2 + 12N + 1 + 14 = 36N^2 + 12N + 12 + 3
If P = 6N-1, then P^2 + 14 = 36N^2 - 12N + 1 + 14 = 36N^2 - 12N + 12 + 3
When divided by 12, it must leave a remainder of 3.
The answer is C.
Answer: C
Question: Find the odd man out. 2,4,7,10,16
Options:
A)11
B)9
C)10
D)6
E)14
Rationale: Explanation :
2+2=4
4+3=7
7+4=11
11+5=16
Hence, it is clear that 11 should have come instead of 10
Answer : Option A
Answer: A
Question: A team of 6 cooks is chosen from 9 men and 5 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?
Options:
A)140
B)320
C)560
D)700
E)1020
Rationale: Only possible combinations are a team of 2M, 4 W or 3M,3W.
Possible ways to make a team of 2M,4W = 9C2 * 5C4 =36*5 =180
Possible ways to make a team of 3M,3W = 9C3* 5C3 = 84*10 = 840
Total possible ways = 180+840 = 1020
Ans E it is.
Answer: E
Question: The ratio between the length and the breadth of a rectangular park is 5 : 3. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then thearea of the park (in sq. m) is?
Options:
A)124545 m
B)134561 m
C)156787 m
D)15450 m
E)150000 m
Rationale: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 5x metres and breadth = 3x metres.
Then, 2(5x + 3x) = 1600 or x = 100.
Length = 500 m and Breadth = 300 m.
Area = (500 x 300) m2 = 150000 m
E
Answer: E
Question: 30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
A)10
B)11
C)12
D)cannot be determined
E)None of the above
Rationale: Since average price of a pencil = 2
∴ Price of 75 pencils = 150
∴ Price of 30 pens = (510 – 150) = 360
∴ Average price of a pen = 360⁄60 = 12
Answer C
Answer: C
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square?
Options:
A)5 : 16
B)5 : 17
C)5 : 11
D)5 : 19
E)1 : 16
Rationale: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.
a2 = 4096 = 212
a = (212)1/2 = 26 = 64
L = 2a and b = a - 24
b : l = a - 24 : 2a = 40 : 128 = 5 : 16
Answer: A
Answer: A
Question: A person is traveling at 45km/hr and reached his destiny in 5hr find the distance?
Options:
A)A)100km
B)B225km
C)C)135km
D)D)80km
E)E)125km
Rationale: speed = 45km/hr
time = 5hr
distance = 45*5 = 225km
Answer is B
Answer: B
Question: The captain of a cricket team of 11 members is 27 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Options:
A)20 years
B)21 years
C)22 years
D)23 years
E)24 years
Rationale: Explanation:
Let the average age of the whole team by x years.
11x â€“ (27 + 30) = 9(x -1)
11x â€“ 9x = 48
2x = 48
x = 24.
So, average age of the team is 24 years.
Answer E
Answer: E
Question: what is next no. 11 23 47 83 131 191 263 ???
Options:
A)171
B)347
C)191
D)201
E)211
Rationale: 11+12*1=23
23+12*2=47
47+12*3=83
83+12*4=131
131+12*5=191
191+ 12*6=263
263+12*7=347
ANSWER:B
Answer: B
Question: Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Monday, what was the expected day when both the brothers were to return home and when did Rohit Return?
Options:
A)Wednesday, Sunday
B)Tuesday, Monday
C)Thursday, Monday
D)Monday, Friday
E)none
Rationale: Rajat returned on Monday -i.e. 3 days earlier
so actual day to return home is Thursday.
Rohit returned after days so Monday
ANSWER:C
Answer: C
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
A)35
B)20
C)47
D)36
E)30
Rationale: 1: 2/5 = 5: 2
2/7 * 70 =20
Answer:B
Answer: B
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
Options:
A)1,20,000
B)1,10,000
C)1,00,000
D)90,000
E)80,000
Rationale: X * (105/100) * (105/100) * (105/100) = 138915
X = 138915/1.157625
X = 120000
ANSWER:A
Answer: A
Question: In a petting zoo, there are 50 hens, there are 40 goats, and 10 llamas with some humans. If the total number of feet are 210 more than the number of heads in the zoo, the number of humans is
Options:
A)1
B)5
C)10
D)15
E)20
Rationale: Explanation: Let number of humans be x. Then, Total number of feet = 2 x 50 + 4 x 40 + 4 x 10 + 2x = 2x + 300 Total number of heads = 50 + 40 + 10 + x= 100 + x. Therefore (2x + 300) = (100 + x) + 210 or x = 10. Answer: C
Answer: C
Question: A train 520 m long can cross an electric pole in 20 sec and then find the speed of the train?
Options:
A)88 Kmph
B)94 Kmph
C)72 Kmph
D)16 Kmph
E)18 Kmph
Rationale: Length = Speed * time
Speed = L/T
S = 520/20
S = 26 M/Sec
Speed= 26*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 94 Kmph
Answer: B
Answer: B
Question: A batsman in his 17th innings makes a score of 85, and thereby increases his average by 3. What is his average after the 17th innings? He had never been ’not out’.
Options:
A)47
B)37
C)39
D)43
E)42
Rationale: Average score before 17th innings
= 85 - 3 × 17= 34
Average score after 17th innings
=> 34 + 3 = 37
ANSWER:B
Answer: B
Question: What is the units digit of 17^83 × 13^82 × 11^83?
Options:
A)4
B)5
C)6
D)7
E)8
Rationale: To find : the units digit of 17^83 × 13^82 × 11^87
Let's reduce the clutter and simplify the product
(7^83) (3^82) (1^87)
7 has a cyclicity of 4 : the last digit of any positive power of 7 repeats itself after every 4th power
so 7^5 has the same last digit as 7^1, 7^9, 7^13
Thus , 7^83 has the same last digit as 7^3, 7^7, 7^11 i.e.3
3 has a cyclicity of 4 : exactly the same routine as above
Thus , 3^82 has the same last digit as 3^2, 3^6, 3^10 i.e.9
Any power of 1 will result in1as the last digit
So, product of our last digits = 3 x 9 x 1 = 27....last digit is 5
Correct Option : B
Answer: B
Question: You collect coins. Suppose you start out with 11. Since you're nice, you give Sharon 2 coins. Since you're nice, you give Steven 4 coins. How many coins do you have at the end?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: Solution
Start with 11 coins.
Sharon takes 2 coins from you: 11 - 2 = 9 coins.
Steven takes 4 coins from you: 9 - 4 = 5 coins.
So you have 5 at the end.
Correct answer : D
Answer: D
Question: A train 420 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
A)15
B)16
C)17
D)20
E)24
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 420 * 2/35 = 24 sec
Answer: Option E
Answer: E
Question: Today is Monday. After 61 days, it will be
Options:
A)Sunday
B)Saturday
C)Monday
D)Thursday
E)Wednesday
Rationale: 61 days = 8 weeks 5 days = 5 odd days
Hence if today is Monday, After 61 days, it will be = (Monday + 5 odd days)
= Saturday
Answer is B
Answer: B
Question: Jonathan can type a 10 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
Options:
A)5 minutes
B)10 minutes
C)15 minutes
D)18 minutes
E)20 minutes
Rationale: You may set up common equation like this:
job/A+job/B+job/C=job/x
Memorize this universal formula, you will need it definitely for GMAT.
and find x from this equation
In this specific case, the equation will look like this:
10/40+10/30+10/24=10/x
If you solve this equation, you get the same answer B (10)
Answer: B
Question: How many different three-digit multiples of 5 can be composed of digits 2, 7, 4, and 5 if none of the digits is repeated?
Options:
A)3
B)6
C)10
D)12
E)18
Rationale: = 3c2 x 2 = 6
can you explain your method. i solved it differently
XYZ, where Z must be 5. therefore 1 variation of digit in Z.
Y can be any of the 3 possible choices.
X can be any of the 2 possible choices.
2+3+1= 6
B
Answer: B
Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
A)482
B)337
C)277
D)288
E)2781
Rationale: 20000(11/10)4 - 20000(6/5)2 = 482
Answer: A
Answer: A
Question: The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
Options:
A)Rs.608
B)Rs.6076
C)Rs.600
D)Rs.602
E)Rs.601
Rationale: T.D. = B.G. x 100 = Rs. 24 x 100 = Rs. 120.
Rate x Time	10 x 2
P.W. =	100 x T.D.	= Rs. 100 x 120 = Rs. 600.
Rate x Time	10 x 2
Answer:C
Answer: C
Question: two friends deepak and rajeev have agreed to meet at a definite spot on a particular day between 9pm and 10pm. the first person to come waits for some time and leaves.If the other one does not turn up by that time.If Deepak comes first,he waits for 45minutes and if Rajeev comes first,he waits for 15minutes.What is the probability of meeting between Deepak and rajeev if their arrival times are independent of eachother and each person arrives during the indicated period at random?
Options:
A)3/4
B)11/16
C)7/8
D)3/16
E)5/16
Rationale: deepak : 45/60 = 3/4
rajeev : 15/60= 1/4
as these are independent events
total probability = (3/4)*(1/4)
= 3/16
ANSWER:D
Answer: D
Question: 45% of x is greater than 1/3rd of x by 110.what is x?
Options:
A)100
B)200
C)300
D)350
E)943
Rationale: 45x/100-x/3=110
7x/60=110
x=943
ANSWER:E
Answer: E
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Options:
A)160
B)175
C)180
D)195
E)None
Rationale: EXPLANATION
Suppose the man works overtime for x hours.
Now, working hours in 4 weeks = (5 x 8 x 4) = 160.
160 x 2.40 + x x 3.20 = 432
3.20x = 432 – 384 = 48
x = 15.
Hence, total hours of work = (160 + 15) = 175.
Answer B
Answer: B
Question: if x - y = -10,2x + 3y = 15what is the value of y?
Options:
A)8
B)6
C)7
D)6.5
E)5
Rationale: solution
Rearranged I--> y = x + 10
Substituted into II---> 2x + 3(x + 10) = 15
we get x = -3
Solve for Y: 2(-3) + 3(y) = 15
y = 7
Answer is C
Answer: C
Question: What percent is 3% of 5%?
Options:
A)60%
B)50%
C)75%
D)45%
E)30%
Rationale: Required percentage = 3%/5% * 100 = 3/5 * 100 = 60%
Answer is A
Answer: A
Question: A train covers a certain distance at a speed of 240kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of
Options:
A)720km/hr
B)620km/hr
C)650km/hr
D)750km/hr
E)850km/hr
Rationale: Explanation:
Distance = 240×5 = 1200km
Required speed = (1200× 3/5) = 720km/hr
Answer: Option A
Answer: A
Question: Mohan purchased 15 kgs of rice at the rate of Rs.20 per kg and 8 kgs of pulses at the rate of Rs.20 per kg. Whaat is the total amount that he paid to the shopkeeper?
Options:
A)A)Rs.598
B)B)Rs.594
C)C)Rs.460
D)D)Rs.595
E)None of these
Rationale: Explanation:
Price of 15 kgs of rice at Rs.20/kg = 15x20 = Rs.300
Price of 8 kgs of pulses at Rs.20/kg = 8x20 = Rs.160
Therefore, Total amount = Rs.300+Rs.160 = Rs.460
Answer: Option C
Answer: C
Question: Two men can complete a piece of work in four days. Two women can complete the same work in eight days. Four boys can complete the same work in five days. If four men, eight women and 20 boys work together in how many days can the work be completed?
Options:
A)1/2 day
B)1/7 day
C)3/2 day
D)1/4 day
E)7/2 day
Rationale: Two men take four days to complete the work four men would take (2 * 4)/4 = 2 days to complete it.
Similarly four women would take two days to complete it and 20 children would take one day to complete it.
All the three groups working togerther will complete 1/2 + 1/2 + 1/1 work in a day
= 2 times the unit work in a day.
They will take 1/2 a day to complete it working together.
Answer:A
Answer: A
Question: A car ferry can hold up to 60 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 4 tons?
Options:
A)12
B)16
C)20
D)24
E)28
Rationale: The weight of one car and one truck is 4.75 tons.
60/4.75 = 12 plus a remainder
The ferry could carry 12 cars and 12 trucks for a total of 24 vehicles.
The answer is D.
Answer: D
Question: There are n cities. What is the number of airlines that connected 7 different cities (airline from city A to city B is different with airline from city B to city A)?
Options:
A)n(n-1)
B)n(n+1)
C)n(n-1)/2
D)n(n-6)
E)n2
Rationale: First of all, the possible number of airlines is n. Then, the possible number of airlines departing from one city to another becomes (n-6). Hence, the answer is n(n-6), which makes A an answer choice.
D
Answer: D
Question: X, Y, and Z are different prime numbers. The product X^2*Y*Z is divisible by how many different positive numbers?
Options:
A)4
B)6
C)8
D)9
E)12
Rationale: The exponents of X^2*Y*Z are 2, 1, and 1.
The number of factors is (2+1)(1+1)(1+1) = 12
The answer is E.
Answer: E