divelab/Sys2Bench huggingface dataset:
Question: Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 8 years younger than Albert. How old is Betty?
Options:
A)4
B)6
C)10
D)16
E)18
Rationale: A = 2M = M+8
M = 8
A = 16
A = 4B, and so B = 4
The answer is A.
Answer: A
Question: A man on tour travels first 150 km at 50 km/hr and the next 140 km at 70 km/hr. Find the average speed for first 290 km of tour.
Options:
A)54.11 km/hr
B)56.11 km/hr
C)58 km/hr
D)60.11 km/hr
E)None of these
Rationale: Explanation:
We know Time = Distance/speed
So total time taken =
(150/50+140/70)=5hours
Time taken for 290 Km = 290/5=58km/hr
Option C
Answer: C
Question: Use distributive property to solve the problem below:
Maria bought 10 notebooks and 7 pens costing 2 dollars each.How much did Maria pay?
Options:
A)34 dollars
B)40 dollars
C)50 dollars
D)60 dollars
E)70 dollars
Rationale: Solution
2 × (10 + 7) = 2 × 10 + 2 × 7 = 20 + 14 = 34 dollars
Answer A
Answer: A
Question: if 60% of (x-y) = 30% of (x+y) then what percent of x is y?
Options:
A)33%
B)10%
C)5%
D)15%
E)25%
Rationale: 60% of (x-y)=30% of(x+y)
(60/100)(x-y)=(30/100)(x+y)
6(x-y)=3(x+y)
3x=9y
x=3y
therefore required percentage
=((y/x) X 100)% = ((y/3y) X 100) =33%
Answer is A.
Answer: A
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 1200. What is their H.C.F.?
Options:
A)20
B)60
C)90
D)100
E)120
Rationale: Let the numbers be 3x, 4x and 5x.
Then, their L.C.M. = 60x
60x = 1200
x = 20
The numbers are (3 x 20), (4 x 20) and (5 x 20).
The H.C.F. is 20.
The answer is A.
Answer: A
Question: Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If they are 70 km apart both 3 and 6 hours after start, then find the distance between the two stations.
Options:
A)210 km
B)240 km
C)220km
D)180km
E)190km
Rationale: In first 3 hours T1 travels R km and T2 travels S km.
After 6 hours they traveled R+S+70+ 700
2(R+S ) = R+S +140
R+S = 140
Hence distance between XY is R+S+ 70 = 140 +70 =210
ANSWER:A
Answer: A
Question: 5n + 2 > 12 and 7n + 2 < 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)2 and 9
Rationale: 5n+2 > 12
5n > 10
n > 2
7n+2 < 44
7n < 42
n < 6
So n must be between 2 and 6
2 < n < 6
correct answer B
Answer: B
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 5000. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Options:
A)s. 375
B)s. 425
C)s. 625
D)s. 800
E)s. 850
Rationale: C's 1 day's work = 1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24
A's wages : B's wages : C's wages = 1/6 : 1/8 : 1/24 = 4: 3 : 1
C's share (for 3 days) = Rs.	(3 * 1/24 * 5000) =Rs.625
Answer = C
Answer: C
Question: The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 40, what is the possible maximum range of the temperatures?
Options:
A)20
B)25
C)40
D)50
E)75
Rationale: there are 5 days so the sum of temperature can be 50*5=250
lowest is 40. to find the maximum range we can say the temperature was the lowest for 4 of the 5 days
so 4*40=160.
on the fifth day it is 250-160=90
range is therefore 90-40=50
answer D
Answer: D
Question: What is the units digit of (493) (913) (381) (756) (29)
Options:
A)0
B)1
C)4
D)3
E)6
Rationale: Just multiply the digits in the units place for each term and you will get the answer. It should be 0. you got a 5 as a unit digit and an even number term. so the multiplication of this will definitely yield a 0. Answer has to be 0.
I also tried it using the calculator and the answer is 3.
IMO D.
Answer: D
Question: In how many R ways can 5 people from a group of 6 people be seated around a circular table
Options:
A)56
B)80
C)100
D)120
E)144
Rationale: R=6C5 * (5-1)! (Select 5 out of 6 and arrange them in circular manner)
= 6 * 4!
= 6 * 24
= 144
Answer - E
Answer: E
Question: Find out the C.I on Rs.6000 at 4% p.a. compound half-yearly for 1 1/2 years
Options:
A)367.25
B)306.07
C)306.04
D)306.03
E)306.01
Rationale: A = 6000(51/50)3
= 6367.248
6000
-----------
367.25
Answer:A
Answer: A
Question: The number of meters in BB is equal to the square root of the number of centimeters in BB. What is the length of BB (1 meter=100 centimeters)?
Options:
A)100 meters
B)10 meters
C)100 centimeters
D)10 centimeter
E)1 centimeter
Rationale: I'd plug in the options for this question.
Check option A: if the number of meters in BB is 100, then the number of centimeters is 100*100. The square root of 100*100 is 100: 100 = 100.
Answer: A.
Answer: A
Question: The Lulu mall in city charges 80 cents for the first hour of parking and $5 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If David parked his bike in the mall for 7 hours and 30 minutes, how much is he going to pay?
Options:
A)$36.6
B)$12.
C)$13.
D)$14.5.
E)$15.
Rationale: 0.80+5*5+2*5+0.80= $36.6
Answer: $36.6
Answer: A
Question: Population of a city in 20004 was 1400000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007
Options:
A)354354
B)545454
C)465785
D)456573
E)2818075/2
Rationale: Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)
= P (1 + 15/100)(1 - 35/100)(1 + 45/100)
= 2818075/2
E
Answer: E
Question: What number is obtained by adding the units digits of 734^99 and 347^82?
Options:
A)10
B)11
C)12
D)13
E)14
Rationale: The units digit of 734^99 is 4 because 4 raised to the power of an odd integer ends in 4.
The units digit of 347^82 is 9 because powers of 7 end in 7, 9, 3, or 1 cyclically. Since 82 is in the form 4n+2, the units digit is 9.
Then 4+9 = 13.
The answer is D.
Answer: D
Question: In an increasing sequence of 8 consecutive even integers, the sum of the first 4 integers is 292. What is the sum of all the integers in the sequence?
Options:
A)552
B)616
C)774
D)886
E)990
Rationale: let the first term of the sequence be x
since it is consecutive even integers the terms be we x, x+2,x+4...x+14 (up to 8 terms)
now,
sum of first 4 terms =292
or,
4x+12=292
x=280/4=70
Thus the answer can now be calculated by either summing up 70+72+74+... 8th term
or
s=n/2(2a+(n-1)d
=8/2(2*70+(7*2))
=4(140+14)=616
B
Answer: B
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 10000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
Options:
A)23
B)19
C)22
D)20
E)14
Rationale: Let the total number of workers be x. Then,
8000x = (10000 * 7) + 6000(x - 7)
= 2000x = 28000
= x = 14.
ANSWER:E
Answer: E
Question: A man rows his boat 90 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
A)9 kmph
B)6 kmph
C)5 kmph
D)8 kmph
E)7 kmph
Rationale: Speed downstream = d/t = 90/(2 1/2) = 36 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (36 - 18)/2 = 9 kmph
Answer:A
Answer: A
Question: Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
Options:
A)8 kmph
B)11 kmph
C)12 kmph
D)14 kmph
E)16 kmph
Rationale: Explanation:
Let the distance travelled by x km.
Then,	x/10-x/15=2
3x - 2x = 60
x = 60 km.
Time taken to travel 60 km at 10 km/hr =60/10 hrs= 6 hrs.
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Required speed =	60/5kmph= 12 kmph
ANSWER IS C
Answer: C
Question: The total of 324 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is
Options:
A)238
B)277
C)278
D)200
E)288
Rationale: Explanation:
Let the number of 20 paise coins be x. Then the no of 25 paise coins = (324 - x).
0.20 * (x) + 0.25 (324 - x) = 71 => x = 200..
Answer: D) 200
Answer: D
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Options:
A)928
B)278
C)192
D)108
E)289
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 * 12
= 108 ways.
Answer:D
Answer: D
Question: 10 is subtracted from 50% of a number, the result is 25. Find the number?
Options:
A)75
B)70
C)35
D)170
E)50
Rationale: (50/100) * X â€“ 10 = 25
5X = 350
X = 70
Answer:B
Answer: B
Question: If 4 men can colour 48 m long cloth in 2 days, then 6 women can colour 36 m long cloth in?
Options:
A)day
B)day
C)days
D)days
E)days
Rationale: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.
B)
Answer: B
Question: How many positive numbers not greater than 4300 can be formed using the digits 0,1,2,3,4 where repeatation is allowed?
Options:
A)576
B)575
C)620
D)640
E)660
Rationale: 1 digit = 5
2 digits = 4* 5 = 20
3 digits = 4*5*5= 100
Now,4 digit number till 4000 can have digits 1,2,3 in thousands place ( total choices = 3 )
0,1,2,3,4 in hundreds ,tens and ones place
I.e 3*5*5*5 = 375
Now From 4000 to 4299 = 1*3*5*5 =75
Total = 5+20+100+375+75+1 =576 (1 for 4300)
ANSWER:A
Answer: A
Question: T=(429)^2 * 237 * (1243)^3 is thrice of ?
Options:
A)33605 * 31960 * (1243)^2
B)33654 * 538219 * (1243)^2
C)33891 * 533247 * (1243)^2
D)34122 * 532004 * (1243)^2
E)34606 * 534572 * (1243)^2
Rationale: T=(429)^2*237*(1243)^3 is an odd number.
Among answer choices only C is an odd number, (so thrice C also will be an odd number).
Answer: C.
Answer: C
Question: Find the value of y from (12)^2 x 6^3 ÷ 432 = y?
Options:
A)2134
B)2234
C)2540
D)2560
E)72
Rationale: 72
E
Answer: E
Question: -20 , -16 , -12 , -8 ....
In the sequence above, each term after the first is 8 greater than the preceding term. Which of the following could not be a term in the sequence?
Options:
A)0
B)200
C)440
D)664
E)762
Rationale: Ans : E 762
Since 762 is not divisible by 8 , all the other options are divisible by 8
Answer: E
Question: A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 28 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
Options:
A)392
B)412.
C)432.
D)502
E)522
Rationale: Solution 1 : Given that number of pastries are equally divided in to 28 groups, so the answer should be a multiple of 28. And in the given choices, only 392 is divisible by 28 with remainder 0(Make sure others are no multiples of 28). So this is good enough to stop here, but to verify, 392/28 = 14 and 392/49 = 8, which confirms the second part of question, 14-8 , 6 pastry short of each customer.
Solution 2 : Going mathematical, expressing in the equation form, Let x be the number of pastries and , n be the number of customers in 28 groups.
So, x = 28 * n,
as per second statement, x = 49 * (n - 6 )
Solve the above 2 for n and then we get x as 392.
Answer is A : 392.
Answer: A
Question: A 6 by 8 rectangle is inscribed in circle. What is the circumference of the circle?
Options:
A)5π
B)10π
C)15π
D)20π
E)25π
Rationale: The diagonal of the rectangle will be the diameter of the circle.
and perimeter= 2*pi*r
Ans: B
Answer: B
Question: In a series of six football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 6 draws in the series?
Options:
A)24/576
B)125/864
C)1/25
D)1/4096
E)1/5
Rationale: Since the probability of a draw is 1/4, then the probability of 6 draws in 6 matches is (1/4)^6=1/4096.
Answer: D.
Answer: D
Question: A train is 327 meter long is running at a speed of 40 km/hour. In what time will it pass a bridge of 122 meter length?
Options:
A)32.7
B)41
C)50.29
D)40.41
E)20.28
Rationale: Speed = 40 Km/hr = 40*(5/18) m/sec = 100/9 m/sec
Total distance = 327+122 = 449 meter
Time = Distance/speed
= 449 * (9/100) = 40.41 seconds.
Answer: D
Answer: D
Question: The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a half of its new value. What is the stock's value at the end of Monday?
Options:
A)X.
B)X/2.
C)2X/3.
D)3X/4.
E)X/4.
Rationale: Stock value= X
AT sunday end= x+.5X= 1.5 X
On monday the value drop to 1/2rd of its value on sunday
1.5x/2= .75x= 3X/4
D is the answer
Answer: D
Question: P alone can complete a piece of work in 10 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Options:
A)6 (1/4) days
B)30/4 days
C)7 (3/4) days
D)9/4 days
E)9 (3/4) days
Rationale: Work done by P alone in one day = 1/10th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/10 of the total) = 1/30 of the total.
Work done by P and Q, working together in one day = 1/10 + 1/30 = 4/30 of the total
They would take 30/4 days to complete the work working together.
ANSWER:B
Answer: B
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?
Options:
A)50 meter
B)100 meter
C)110 meter
D)120 meter
E)130 meter
Rationale: Explanation:
Relative speed of the thief and policeman = (11 – 10) km/hr = 1 km/hr
Distance covered in 6 minutes =
1/60∗6=1/10=100meters
So distance between them after 6 minutes = 200 - 100
= 100 meters
Option B
Answer: B
Question: 1+3=2 2+3=10 3+3=30 4+3=68 5+3=??
Options:
A)110
B)120
C)130
D)140
E)150
Rationale: 1^3+3-2=2,
2^3+3-1=10,
3^3+3-0=30,
4^3+3+1=68,
5^3+3+2=130
ANSWER:C
Answer: C
Question: Find the average of all the numbers between 6 and 29 which are divisible by 5?
Options:
A)17
B)20
C)25
D)30
E)15
Rationale: Average = (10+15+20+25) 4 = 70/4 = 17
Answer is A
Answer: A
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the largest number?
Options:
A)20
B)22
C)30
D)32
E)27
Rationale: Ratio is 2:3
2x + 10 : 3x + 10 = 3 : 4
4[2x + 10] = 3[3x + 10]
8x + 40 = 9x + 30
9x - 8x = 40 - 30
x = 10
Then largest number is = 3x
3x = 30
Ans = C
Answer: C
Question: What is the area of square field whose side of length 18 m?
Options:
A)225 sq m
B)186 sq m
C)586 sq m
D)324 sq m
E)296 sq m
Rationale: 18 * 18
= 324 sq m
Answer: D
Answer: D
Question: How many ways are there to split a group of 12 students into two groups of 6 students each? (The order of the groups does not matter)
Options:
A)180
B)262
C)384
D)462
E)512
Rationale: 12C6 = 924
If we consider these groups, each group will be counted twice.
The number of ways to choose 2 groups of 6 is 924/2 = 462
The answer is D.
Answer: D
Question: From the given equation find the value of x: x² − 3x + 2
Options:
A)0
B)1
C)2
D)3
E)6
Rationale: (x − 1)(x − 2)
x = 1 or 2.
C
Answer: C
Question: A woman has 7 daughters and they each have a brother, how many children does she have?
Options:
A)7
B)8
C)9
D)5
E)3
Rationale: B
8
8 children, the sisters have just one brother!
Answer: B
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Options:
A)187 sec
B)190 sec
C)168 sec
D)197 sec
E)191 sec
Rationale: Time taken by B run 1000 meters
= (1000 * 10)/50 = 200 sec.
Time taken by A = 200 - 10
= 190 sec.
Answer: B
Answer: B
Question: A die is rolled twice. What is the probability of getting a sum equal to 9?
Options:
A)2/8
B)1/9
C)3/9
D)7/4
E)2/7
Rationale: Explanation :
Total number of outcomes possible when a die is rolled =6
Hence, total number of outcomes possible when a die is rolled twice, n(S)=6*6=36
E = Getting a sum of 9 when the two dice fall = {(3, 6), {4, 5}, {5, 4}, (6, 3)}
Hence, n(E) = 4
P(E) =n(E)/n(S)=4/36=1/9
B
Answer: B
Question: A and Bâ€™s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is Aâ€™s salary?
Options:
A)Rs.500
B)Rs.750
C)Rs.1250
D)Rs.1500
E)Rs.2000
Rationale: Explanation:
(5/100) A = (15/100) B
A = 3B
A + B = 2000
4B = 2000 => B = 500
A = 1500
ANSWER IS D
Answer: D
Question: Ramu bought an old car for Rs. 35000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Options:
A)A)14%
B)B)16%
C)C)18%
D)D)30.7%
E)of these
Rationale: Total CP = Rs. 35000 + Rs. 13000 = Rs. 48000 and SP = Rs. 64900
Profit(%) = (64900 - 48000)/55000 * 100 = 30.7%
ANSWER:D
Answer: D
Question: Bob bikes to school every day at a steady rate of b miles per hour. On a particular day, Bob had a flat tire exactly halfway to school. He immediately started walking to school at a steady pace of y miles per hour. He arrived at school exactly t hours after leaving his home. How many miles is it from the school to Bob's home?
Options:
A)(b + y) / t
B)2(b + t) / by
C)2byt / (b + y)
D)2(b + y + t) / by
E)x(y + t) + y(x + t)
Rationale: If we choose for d (distance): 10 miles, for b 10 and for y 5.
t would be 90 minutes or 1,5 hours.
If I try this for answer choice C it fits.
Answer: C
Question: There are between 100 and 110 marbles in a collection of cards. If they are counted out 3 at a time, there are 1 left over, but if they are counted out 4 at a time, there is 4 left over. How many marbles are in the collection?
Options:
A) 100
B) 103
C) 106
D) 108
E) 109
Rationale: Let number of cards = x
If the cards are counted 3 at a time , there are 2 left over-
x = 3p+1
x can take values 100 , 104 , 109
If the cards are counted 4 at a time , there is 1 left over
x= 4q+4
x can take values 100 , 108
Therefore , x = 100
Answer A
Answer: A
Question: Adding two non multiples of C always results in a multiple of C; which of the following must be the value of C ?
Options:
A)[A] two
B)[B] three
C)[C] five
D)[D] ten
E)[E] hundred
Rationale: NON- multiples of 2 would always be ODD and sum of two odd would be EVEN.
so irrespective of value of non-multiples, sum of two them would always be even and thus multiple of 2..
A
Answer: A
Question: A bag contains 5 red, 4 blue and 3 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Options:
A)1/13
B)2/23
C)5/33
D)4/27
E)3/23
Rationale: P(Both are red),
=5C212C2=5C212C2
=10/66=5/33
C
Answer: C
Question: Johnny borrows $40,000 from Tony at 4% daily interest compounded daily. How much does Johnny owe Tony after 8 weeks?
Options:
A)40000*0.02^56
B)30000*1.12
C)40000*2.12
D)40000*1.04^56
E)(40000*1.02)^56
Rationale: A=A= P(1+r100)^n
So, A=40000(1+4/100)^7âˆ—8
So, A= 40000(1.04)^56
Hence answer will be (D)
Answer: D
Question: What least no. must be subtracted from 427398 so that remaining no.is divisible by 15?
Options:
A)344545629
B)723437481
C)354595321
D)964564944
E)458449909
Rationale: Explanation:
On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted
Option B
Answer: B
Question: Of the teams competing in the world archery championships, Fifty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Options:
A)13/20
B)15/20
C)13/15
D)3/20
E)4/20
Rationale: Half as manymeans half of EU, then
EU 50%
US 25%
AF 5%
the rest is 20%, answer E
Answer: E
Question: Light glows for every 17 seconds . How many times did it between 1:57:58 and 3:20:47 am
Options:
A)291
B)292
C)293
D)384
E)285
Rationale: the diff in sec between 1:57:58 and 3:20:47 is 4969 sec, 4969/17 = 292.
so total 293 times light ll glow
ANSWER:C
Answer: C
Question: A rectangular field has a length 10 feet more than it is width. If the area of the field is 264, what are the dimensions of the rectangular field?
Options:
A)22
B)23
C)24
D)25
E)26
Rationale: Let x and y be the length and width of the field. The statement "a length 10 feet more than it is width" may be formulated by
x = 10 + y
The formula for the area is given by
A = x y
Substitute A and x in the above equation by 264 and 10 + y respectively to obtain
264 = (10 + y) y
Write the above equation in standard form as follows
y 2 + 10 y - 264 = 0
Solve the above equation for to obtain
y = 12 and y = - 22
Since y is the value of a width it must be positive. The dimensions of the field are given by
y = 12 and x = 10 + y = 22
As an exercise, check that the rectangular field has length 10 feet more than it is width and an area of 264.
Answer A
Answer: A
Question: The average of first three prime numbers greater than 5 is?
Options:
A)12.6
B)12.9
C)22.3
D)10.3
E)12.7
Rationale: 7 + 11+ 13 = 31/3 = 10.3
Answer: D
Answer: D
Question: What is the tens digit of 6^20?
Options:
A)1
B)3
C)5
D)7
E)9
Rationale: The tens digit of 6 in integer power starting from 2 (6^1 has no tens digit) repeats in a pattern of 5: {3, 1, 9, 7, 5}:
The tens digit of 6^2=36 is 3.
The tens digit of 6^3=216 is 1.
The tens digit of 6^4=...96 is 9.
The tens digit of 6^5=...76 is 7.
The tens digit of 6^6=...56 is 5.
The tens digit of 6^7=...36 is 3 again.
etc...
20 has the form 5n, so the tens digit of 6^20 is 7.
The answer is D.
Answer: D
Question: 96% of the population of a city is 23040. Find the total population of the city?
Options:
A)30000
B)28000
C)24000
D)25000
E)25500
Rationale: Population consider as x
x*(96/100) = 23040
x=240*100
==>24000
ANSWER C
Answer: C
Question: A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Options:
A)220 km
B)224 km
C)230 km
D)232 km
E)234 km
Rationale: 0.5x/21 + 0.5x/24 = 10
--> x/21 + x/24 = 20
--> 15x = 168 x 20
--> x = (168 x 20)/15 = 224 km.
Answer : B.
Answer: B
Question: If k is the greatest positive integer such that 3^k is a divisor of 21! then k =
Options:
A)3
B)4
C)5
D)6
E)9
Rationale: 21/3=7
21/9=2.33=2
7+2 =9
k=9
Answer: E
Answer: E
Question: Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 7 times as fast as humans, whereas Khazarian terriers age 3 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2010, a newborn Khazarian 1 year later, and a newborn Livonian 1 year after that, in what year will the sum of the dog-year ages of the Akkadian and the Khazarian first be exceeded by twice the age of the Livonian in dog years, rounding all ages down to the nearest integer?
Options:
A)2013
B)2014
C)2015
D)2016
E)2017
Rationale: chart starting at 2011: A=4 ;2012= A=8 ,K=3
A+K=11
L=0.
Then I added 7 to a+k for each year and 14 to L for each year.
2013:AK=18 L=14
2014:AK= 25 L=28
thus, 2014 is the correct answer.
B
Answer: B
Question: My 5 sons are enrolled in an army's platoon of 80 men. The General is choosing randomly 2 men to a suicide mission. What is the probability of both of the selected men will be two of my sons?
Options:
A) 1/80
B) 2/80
C) 5/80
D) 1/316
E) 2/316
Rationale: My sons are 5 in a group of 80 men. Thus the probability of choosing 2 of my sons is: (5/80)(4/79) = 1/316. The correct answer is D.
Answer: D
Question: Ganet has to pay back her bank loan over 6 months following the below sequence.
$50, $55, $65, $80, $85, ?
How much will she pay back on the sixthmonth?
Options:
A)$155
B)$145
C)$95
D)$125
E)$130
Rationale: The sequence progresses +5, +10, +15 repeated; The amount to pay back on the 6th Month is $95
Ans C
Answer: C
Question: a man owns 1/3 of market reserch beauro buzness,and sells 3/5 of his shares for 2000rs,what is the value of buzness?
Options:
A)40000
B)60000
C)10000
D)25000
E)50000
Rationale: If value of business=x
Total sell (1x/3)(3/5)=2000
->x=10000
ANSWER:C
Answer: C
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 25 hours and 81 hours respectively. The ratio of their speeds is:
Options:
A)2 : 3
B)4 : 3
C)9 : 5
D)9 : 16
E)None of these
Rationale: Let us name the trains as A and B. Then,
(A's speed) : (B's speed) = âˆšb : âˆša = âˆš81 : âˆš25 = 9 : 5.
Answer C
Answer: C