divelab/Sys2Bench huggingface dataset:
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 70%?
I will see what is the quickest way to solve it then I will provide the explanation
Options:
A)6
B)7
C)5
D)10
E)11
Rationale: The following approach might be the easiest one and less error prone.
We need on-time departure rate to be higher than 7/10, so it should be at least 8/11, which means that 8 out of 11 flights must depart on time. Since for now 3 out of 4 flights departed on time then 8-3=5 subsequent flights need to depart on-time.
Answer: C
Answer: C
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 4.5 km long?
Options:
A)4
B)3
C)5
D)6
E)9
Rationale: D = 25 * 60 + 4500 = 6000 m
T = 6000/60 * 18/5 = 360 sec = 6 mins
Answer: D
Answer: D
Question: In an election a candidate who gets 60% of the votes is elected by a majority of 900 votes. What is the total number of votes polled?
Options:
A)A)4500
B)B)5200
C)C)6900
D)D)7520
E)E)6000
Rationale: Let the total number of votes polled be x
Then, votes polled by other candidate = (100-60)% of x = 40% of x
60% of x - 40% of x = 900
20x/100 = 900
x = 900*100/20 = 4500
Answer is A
Answer: A
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.45000, find their shares?
Options:
A)s.17000, Rs.2500
B)s.18000, Rs.35059
C)s.16000, Rs.27000
D)s.14000, Rs.25000
E)s.18000, Rs.27000
Rationale: The ratio of their profits A:B
= 8:12 = 2:3
Share of A in the total profit
= 2/5 * 45000
= Rs.18000 Share of A in the total profit = 3/5 * 45000
= Rs.27000
Answer: E
Answer: E
Question: The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance traveled downstream in 15 minutes is:
Options:
A)9.25
B)5.25
C)7.25
D)6.25
E)5.1
Rationale: Explanation:
Speed downstream = (20+5) kmph = 25 kmph
Distance travelled = (25*(15/60)) km = 6.25 km.
ANSWER:D
Answer: D
Question: If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.
Options:
A)1:1
B)2:1
C)3:1
D)5:1
E)4:1
Rationale: B
2:1
12M + 16B ----- 5 days
13M + 24B ------- 4 days
60M + 80B = 52M + 96B
8M = 16B => 1M = 2B
M: B = 2:1
Answer: B
Question: In how many ways can you sit 7 people on a bench if 2 of them must sit together?
Options:
A)720
B)1440
C)2,400
D)4,320
E)40,320
Rationale: In such questions, always tie the person that have to sit together. So we have effectively 5+1= 6 persons to arrange.
They can be arranged in 6! ways.
Now the 2 persons can themselves be arranged in 2! ways.
Total ways: 6!*2! = 1440.
B is the answer.
Answer: B
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is?
Options:
A)65 kg
B)26 kg
C)16 kg
D)31 kg
E)18 kg
Rationale: Let A, B, C represent their respective weights.
Then, we have:
A + B + C = (45 * 3) = 135 --- (i)
A + B = (40 * 2) = 80 --- (ii)
B + C = (43 * 2) = 86 --- (iii)
Adding (ii) and (iii), we get: A + 2B + C = 166 --- (iv)
Subtracting (i) from (iv), we get: B = 31
B's weight = 31 kg.
Answer: D
Answer: D
Question: P and Q started a business investing Rs. 85,000 and Rs. 45,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Options:
A)17:6
B)17:0
C)17:4
D)17:9
E)17:3
Rationale: P:Q = 85000 : 45000
= 17:9.
Answer: D
Answer: D
Question: One man or two women or three boys can do a work in 44 days then one man, one women and one boy together?
Options:
A)24 days
B)25 days
C)26 days
D)27 days
E)28 days
Rationale: 1 man or 2 women or 3 boys can do in 44 days.
LCM of 1,2&3 is=6,each one do the unit of work 6,3 and 2 units.add the units(6+3+2=11)
They can do the work together 44*6/11=24 days.
ANSWER:A
Answer: A
Question: Solve this logic number sequence puzzle by the correct digit
8080 = 6
1357 = 0
2022 = 1
1999 = 3
6666 = ?
Options:
A)4
B)2
C)5
D)7
E)8
Rationale: A
4
No Of circles in the number.
Answer: A
Question: A train 90 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)7
B)6
C)8
D)5
E)4
Rationale: Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 90 * 3/55
= 5 sec.
Answer D
Answer: D
Question: It takes 7 high school students, working at identical constant individual rates, 10 hours to paint a certain house. At what time will the house be fully painted if 7 students start painting at 9:00 am and one student, working at the same rate, is added per hour starting at 4:00 pm?
Options:
A)4:18 pm
B)4:45 pm
C)5:12 pm
D)5:48 pm
E)6:24 pm
Rationale: Each student paints at a rate of 1/70 of the house per hour.
In 7 hours, the 7 students can paint 49/70 of the house.
From 4 pm to 5 pm, 8 students paint another 8/70 for a total of 57/70.
From 5 pm to 6 pm, 9 students paint another 9/70 for a total of 66/70.
10 students can paint the remaining 4/70 of the house in 4/10 of an hour = 24 minutes.
The house is completed at 6:24 pm.
The answer is E.
Answer: E
Question: When tossing two coins once, what is the probability of heads on both the coins?
Options:
A)1/3
B)5/8
C)1/9
D)1/4
E)2/5
Rationale: Total number of outcomes possible when a coin is tossed = 2 (∵ Head or Tail)
Hence, total number of outcomes possible when two coins are tossed, n(S) = 2 × 2 = 4
(∵ Here, S = {HH, HT, TH, TT})
E = event of getting heads on both the coins = {HH}
Hence, n(E) = 1
P(E) = n(E)/n(S)=1/4
Answer is D.
Answer: D
Question: In the city of San Durango, 60 people own cats, dogs, or rabbits. If 30 people owned cats, 40 owned dogs, 10 owned rabbits, and 10 owned exactly two of the three types of pet, how many people owned all three?
Options:
A)2
B)5
C)8
D)12
E)32
Rationale: You are considering a case when cat dogs and rabbit are not exactly equal to 12 .
The solution shall be 60=30+
Answer B
Answer: B
Question: If 5^z × 5^y = (125)^4, then what two values will satisfy z and y such that it equals the value of 125^4?
Options:
A)1, 5
B)2, 3
C)5, 7
D)Both A and B
E)Neither of the Above
Rationale: 5^z × 5^y = (125)^4
5^(z+y) = 5^12
since base is same, we can equate powers:
z+y =12
There are several values that can work, (i.e. 4 and 8, 3 and 9, 1 and 11, but the only one that works in the options given is C
Ans. C) 5, 7
Answer: C
Question: The volume of the sphere QQ is (dfrac{37}{64}%)less than thevolume of sphere PP and the volume of sphere RR is (dfrac{19}{27}%) less than that of sphere QQ. By what is the surface areaof sphere RR less than the surfacearea of sphere PP?
Options:
A)40%
B)50%
C)75%
D)80%
E)90%
Rationale: Let the volume of sphere PP be 64 parts.
Therefore volume of sphere QQ
=64−3764%=64−3764% of 6464
=64−37=27=64−37=27 parts.
The volume of RR
=27−1927×27=27−1927×27
=27−19=8=27−19=8 parts.
Volume ratio:
=P:Q:R=64:27:8=P:Q:R=64:27:8
Radius ratio:
=P:Q:R=4:3:2=P:Q:R=4:3:2
The surface area will be 16:9:516:9:5
Surface area of RR is less than the surface area of sphere PP
16k−4k=12k16k−4k=12k
Now,
=12k16k×100=12k16k×100
=75%=75%
Thus surface area of sphere RR is less than the surface area of sphere P by 75%
C
Answer: C
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Options:
A)280 m
B)240 m
C)152 m
D)639 m
E)239 m
Rationale: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/36 = 15 => x = 240 m.
Answer:B
Answer: B
Question: How many days are there in x weeks x days?
Options:
A)7x
B)8x
C)14x
D)2x
E)1x
Rationale: Explanation:
x weeks x days = (7x + x) days = 8x days.
Answer: B
Answer: B
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $250?
Options:
A) 1,108
B) 2,100
C) 2,628
D) 2,124
E) 2,256
Rationale: To maximize number of hot dogs with 250$
Total number of hot dogs bought in 250-pack = 22.95*10 =229.5$
Amount remaining = 250 - 229.5 = 20.5$
Total number of hot dogs bought in 20-pack = 3.05*6 =18.3$
Amount remaining = 20.5 - 18.3 = 2.2$
Total number of hot dogs bought in 8-pack = 1.55*1 =1.55$
Amount remaining = 2.2 - 1.55 = 0.65$
This amount is too less to buy any 8- pack .
Greatest number of hot dogs one can buy with 250 $ = 250*10+20*6+8*1 = 2628
Answer C
Answer: C
Question: The total age of A and B is 14 years more than the total age of B and C. C is how many years younger than A?
Options:
A)12
B)14
C)C is elder than A
D)Data inadequate
E)None
Rationale: Solution
[(A+B) - (B+C)]	= 14
â€¹=â€ºA - C
= 14.
Answer B
Answer: B
Question: A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 350 dollars, and, in a third, loses 60. In the end he finds he has gained 200 dollars, by the three together. How much did he gain or lose bv the first ?
Options:
A)80
B)90
C)-90
D)-80
E)None
Rationale: In this sum, as the profit and loss are opposite in their nature, they must be distinguished by contrary signs. If the profit is marked +, the loss must be -.
Let x = the sum required.
Then according to the statement x + 350 - 60 = 200
And x = -90.
Answer C
Answer: C
Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
A)2
B)3
C)6
D)8
E)9
Rationale: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6
C
Answer: C
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Options:
A)2.5 sec
B)3.9 sec
C)2.9 sec
D)2.7 sec
E)2.3 sec
Rationale: Speed = 144 * 5/18 = 40 m/sec
Time taken = 100/40
= 2.5 sec.
Answer:A
Answer: A
Question: Find the odd man out. 3576, 1784, 888, 440, 216, 105, 48
Options:
A)105
B)216
C)888
D)1784
E)1322
Rationale: 3576
(3576-8)/2 = 1784
(1784-8)/2 = 888
(888-8)/2 = 440
(440-8)/2 = 216
(216-8)/2 = 104
(104-8)/2 = 48
Hence, 105 is wrong. 104 should have come in place of 105
Answer : Option A
Answer: A
Question: Brand X coffee costs twice as much as brand Y coffee. If a certain blend is 1/4 brand X and 3/4 brand Y. what fraction of the cost of the blend is Brand X?
Options:
A)a. 2/5
B)b. 1/5
C)3. 1/2
D)4. 2/3
E)5. 3/4
Rationale: Assume Cost of X= Cx = 200 , Cost of Y = Cy=100
The blend contains 0.25 X and 0.75 Y ---> Cost of the blend = Cbl = 0.25*200+0.75*100= 125
Thus fraction of X in the blend = 0.25*200/125 = 2/5.
Answer : A
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 180 m and they cross each other in 12 sec, then the speed of each train is?
Options:
A)54
B)77
C)36
D)88
E)21
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (180 + 180)/12 => x = 15
Speed of each train = 10 m/sec.
= 15 * 18/5 =- 54 km/hr.
Answer: A
Answer: A
Question: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4,5,6 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?
Options:
A)1/5
B)5/6
C)21/65
D)7/3
E)2/7
Rationale: If a number is divisible by 4 the last 2 digits of the number has to be divisible by 4.
If the number ends with 12: Number of possibilities = 4*3 * 2 * 1 =24
number ends with 24: Possibilities = 4*3 * 2 * 1 = 24
number ends with 32: Possibilities =24
number ends with 52: Possibilities = 24
number ends with 36: Possibilities =24
number ends with 16: Possibilities = 24
number ends with 64: Possibilities = 24
Total number of possibilities with restriction = 7*24 = 168
Total number of possibilities without restriction = 6! = 720
Probability = 168/720 =21/65
Answer: C
Answer: C
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Options:
A)22 1/2
B)22 1/8
C)22 1/4
D)22 2/2
E)23 1/2
Rationale: 100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 2 2 1/2 kmph Answer:A
Answer: A
Question: Dave has d books, which is 3 times as many as Jercy and 1/2 as many as Pavi. How many books do the three of them have altogether, in terms of d?
Options:
A) 5/6*d
B) 7/3*d
C) 9/2*d
D) 7/2*d
E) 10/3*d
Rationale: Although we could plug in a real value for d, the problem can be just as easily solved by setting up equations. However, let’s start by defining some variables. Since we are given that David has d books, we can use variable d to represent how many books David has.
number of books Dave has = d
number of books Jercy has = j
number of books Pavi has = p
We are given that Dave has 3 times as many books as Jercy. We can now express this in an equation.
d = 3j
d/3 = j
We are also given that Dave has ½ as many books as Pavi. We can also express this in an equation.
d = (1/2)p
2d = p
Notice that we immediately solved forj in terms of d and p in terms of d. Getting j and p in terms of d is useful when setting up our final expression. We need to determine, in terms of d, the sum of the number of books for David, Jeff, and Paula. Thus, we have:
d + d/3 + 2d
Getting a common denominator of 3, we have:
3d/3 + d/3 + 6d/3 = 10d/3 = 10/3*d
The answer is E
Answer: E
Question: If (5!)^2–(4!)^2=2^a3^b13^c and a, b, and c are integers, then what is the value of a + b + c?
Options:
A)12
B)10
C)2
D)1
E)0
Rationale: (5!)^2 -(4!)^2=2^a3^b13^c
= [5^2*(4!)^2]-(4!)^2
=[25*(4!)^2]-(4!)^2=24*(4!)^2
= 24*(24^2)=24^3
=[2^3*3]^3=2^9*3^3
so a=9 b=3 c=0
hence a+b+c=9+3+0=12
answer=A
Answer: A
Question: A retailer buys 60 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
Options:
A)40
B)65
C)72
D)78
E)20
Rationale: let the market price of each pen be $1
then, Cost Price of 60 pens = $ 36 Selling Price of 60 pens =99% of $60=$ 59.40
profit %=((23.40*100)/36) %=65%
Answer B
Answer: B
Question: Johnny bought six peanut butter cans at an average price (arithmetic mean) of 36.5¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 31.5¢, then what is the average price, in cents, of the two returned peanut butter cans?
Options:
A)46.5
B)11
C)47.5
D)66
E)67.5
Rationale: Total price of six cans = 6*36.5 = 219
Total price of 4 cans = 4*31.5 = 126
Total rice of two cans = 219 - 124 = 93
Average price of two cans = 93/2 = 46.5 c
Another way to do it is this:
Assume that the four leftover cans were of 31.5c each. The avg was 36.5c initially because the two cans were 36.5c each and were providing another 5c of cost to other 4 cans.
So cost of the two cans = 2*36.5 + 4*5 = 93
Avg cost of the two cans = 93/2 = 46.5c
Answer (A)
Answer: A
Question: 5n + 7 > 12 and 7n - 5 < 44; n must be between which numbers?
Options:
A)1 and 8
B)2 and 6
C)0 and 9
D)2 and 7
E)1 and 7
Rationale: 5n+7 > 12
5n > 5
n > 1
7n-5 < 44
7n < 49
n < 7
So n must be between 1 and 7
1 < n < 7
correct answer E
Answer: E
Question: Tali builds a tower using only red, green, and blue toy bricks in a ratio of 4:3:1. She then removes 1/2 of the green bricks and adds 1/3 more blue bricks, reducing the size of the tower by 14 bricks. How many red bricks will she need to add in order to double the total number of bricks used to build the original tower?
Options:
A)82
B)96
C)110
D)120
E)192
Rationale: Tali want to double the original amount of blocks, not just the red blocks
the original tower had 96 bricks, the new tower has 82 bricks and the question is asking how many extra red blocks are needed to build a tower of 192 bricks (double the original: 96*2).
192-82 = 110
so 110 bricks need to be added to the new 82 brick tower to double the original.
They worded the question ashow many red bricks need to be addedbut really it could be any colour just that 110 more bricks need to be there to equal 192=E
Answer: E
Question: If 'A' completes a piece of work in 3 days, which 'B' completes it in 5 days and 'C' takes 10 days to complete the same work. How long will they take to complete the work , if they work together?
Options:
A)1.5 days
B)4.5 days
C)7 days
D)9.8 days
E)9 days
Rationale: EXPLANATION:
Hint:
A's one day work =	1/3
B's one day work =	1/5
C's one day work =	1/10
(A+ B+ C)'s one day work =	1/3	+	1/5	+	1/10	=	1/1.5
Hence, A ,B & C together will take 1.5 days to complete the work.
ANSWER IS A
Answer: A
Question: After 19 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Options:
A)7 liters
B)4 liters
C)3 liters
D)1 liters
E)6 liters
Rationale: 95% ----------- 19
5% ------------ ?
=> 1 liter
Answer: D
Answer: D
Question: One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
Options:
A)5:4
B)5:9
C)5:1
D)5:5
E)5:2
Rationale: 45 * 5/18 = 10
25:20 => 5:4
Answer: A
Answer: A
Question: What will come in place of the x in the following Number series? 612, 207, 72, 27, 12, x
Options:
A)6
B)7
C)8
D)9
E)10
Rationale: 612612 / 3 + 3 = 207207 / 3 + 3 = 7272 / 3 + 3 = 2727 / 3 + 3 = 1212 / 3 + 3 = 7B
Answer: B
Question: A man complete a journey in 30 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 10 km/hr. Find the total journey in km.
Options:
A)220 km
B)224 km
C)230 km
D)400 km
E)234 km
Rationale: 0.5x/20 + 0.5x/10 = 30
--> x/20 + x/10=60
--> 3x = 20x60
--> x = (60x 20)/3 = 400 km.
Answer : D
Answer: D
Question: How many of the positive divisors F of 120 are also multiples of 4 not including 120?
Options:
A)3.
B)4.
C)5.
D)7.
E)8.
Rationale: 4,8,12,20,24,40,60. (7) is the answer
Other way : factors of 120 = 2^3 * 3*5
Separate 2^2 ( which means 4)
Now, calculate the number of other factors.
F=2*3*5 = total positive factors are 2*2*2 = 8
This 8 factors include 120
So subtract 1 from 8
Ans is 7=D
Answer: D
Question: Find the L.C.M of 2/15, 3/10, 6/5
Options:
A)6/5
B)2/3
C)7/5
D)8/5
E)9/5
Rationale: Explanation:
LCM of Fractions = LCM of Numerators/HCF of Denominators
(LCM of 2, 3, 6)/(HCF of 15, 10, 5) = 6/5
Answer: Option A
Answer: A
Question: If 1/5th of a number decreased by 5 is 5, then the number is
Options:
A)25
B)50
C)60
D)75
E)None
Rationale: Explanation :
Let the number be a, then
a/5−5=5⇒a/5=10⇒a=50
Correct Option: B
Answer: B
Question: In what time will a train 45 m long cross an electric pole, it its speed be 108 km/hr?
Options:
A)0.5
B)1.25
C)1.5
D)2.5
E)3.5
Rationale: Speed = 108 * 5/18 = 30 m/sec
Time taken = 45/30 = 1.5 sec.
Answer: C
Answer: C
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)10
B)12
C)18
D)24
E)29
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: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Options:
A)28 sec
B)16 sec
C)36 sec
D)18 sec
E)17 sec
Rationale: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10 = 36 sec.
Answer:C
Answer: C
Question: Mrs. Rodger got a weekly raise of $175. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Options:
A)$204
B)$231
C)$156
D)$175
E)$200
Rationale: Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 175.
So after completing the 1st week she will get $ (x+175).
Similarly after completing the 2nd week she will get $ (x + 175) + $ 175.
= $ (x + 175 + 175)
= $ (x + 350)
So in this way end of every week her salary will increase by $ 175.
D
Answer: D
Question: What is the maximum percentage discount that a merchant can offer on her Marked Price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50%?
Options:
A)50%
B)20%
C)25%
D)16.67%
E)33.33%
Rationale: Explanatory Answer
Quick Approach: Assume cost price as $100 and solve
Let the cost price of the goods to be $ 100.
She had initially marked her goods up by 50%.
Therefore, a 50% mark up would have resulted in her marked price being $100 + 50% of $100 = $100 + $50 = $150.
She finally sells the product at no profit or loss.
i.e., she sells the product at cost price, which in this case is $100.
Therefore, she offers a discount of $50 on her marked price of $150.
Hence, the % discount offered by her = Discount/Marked Price∗100=50/150∗100= 33.33%
Choice E
Answer: E
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Options:
A)22
B)73
C)90
D)77
E)12
Rationale: 200*2 = 400
580
-----
180
1----2
?----180 = 90
Answer: C
Answer: C
Question: If positive integer n is divisible by both 6 and 21, then n must be divisible by which of the following?
Options:
A)8
B)12
C)14
D)24
E)48
Rationale: A number divisible by both 6,21 is 42 which s divisible by 14.
IMO : Answer C 14
Answer: C
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
Options:
A)710
B)720
C)730
D)740
E)750
Rationale: 720
Option 'B'
Answer: B
Question: Varma can read a book in k minutes. What part of the book can he read in 5 minutes?(k>8)
Options:
A)(k - 8)/k
B)k/8
C)5/K
D)k-8
E)k-6
Rationale: Option C
Explanation:
Part of the book he can read in 1 minute = 1/k
Part of the book he can read in 5 minutes =5/k.
Answer: C
Answer: C
Question: Xavier starts from P towards Q at a speed of 40 kmph and after every 12 mins increases his speed by 20 kmph. If the distance between P and Q is 56 km, then how much time does he take to cover the distance?
Options:
A)40
B)48
C)44
D)36
E)30
Rationale: first 12min = 40 *12/60 =8 km
2nd 12min = 60*12/60 = 12 km
3rd 12 min = 80*12/60 = 16 km
4th 12 min = 100 *12/60 = 20 KM
TOTAL time 12.4 =48 min
B
Answer: B
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Options:
A)6.25
B)5.5
C)7.4
D)5
E)6
Rationale: Explanation:
Runs scored in the first 10 overs = 10 × 3.2 = 32
Total runs = 282
Remaining runs to be scored = 282 - 32 = 250
Remaining overs = 40
Run rate needed =
250/40=6.25
ANSWER IS A
Answer: A
Question: Martha has 5 dogs and 5 cats. She takes each animal separately for a daily walk. She can take the animals for a walk to the park or to the barber shop. How many different options for a walk with a single animal does Martha have?
Options:
A)8
B)9
C)10
D)18
E)20
Rationale: 5 dogs, 5 cats; park/barber shop
1 dog - 2 options - either park or barber shop, so, 5 dogs - 10 options and 5 dogs - 10 options.
Total = 20 options.
E
Answer: E
Question: Line k is in the rectangular coordinate system. If the b-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
Options:
A)-3b + 2y = 6
B)3b + 2y = -6
C)3b - 2y = 6
D)2b - 3y = 6
E)-2b - 3y = 6
Rationale: This question can be solved in much simpler way.
To find the b intercept
Put y=0 in the equation of the line.
To find the y-intercept
Put b=0 in the equation of the line.
So
Sub b=0 in the answer choices check whether you are getting y=3.
A. -3b + 2y = 6 --- y = 3
B. 3b + 2y = -6 --- y = -3
C. 3b - 2y = 6 ----- y = -3
D. 2b - 3y = 6 --- y = -2
E. -2b - 3y = 6 --- y =-2
Eliminate answer B,C,D and E.
So the answer is A.
Answer: A