divelab/Sys2Bench huggingface dataset:
Question: A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of the person ?
Options:
A)18
B)20
C)24
D)30
E)35
Rationale: Explanation:
Let the present age of person be x years.
Then, 3(x + 3) - 3(x - 3 ) = x <=> (3x + 9) - (3x - 9) = x <=> x = 18
ANSWER IS A
Answer: A
Question: At a particular pizza shop, a pizza can be created from any combination of 5 different types of spice, 7 different types of meat, among which are pepperoni and anchovies, and 4 different types of cheese. If a customer at the shop decides to order a pizza with 1 type of spice, 2 types of cheese, and 4 types of meat but without pepperoni and anchovies together, how many possible ways to garnish the pizza are available to the customer?
Options:
A)6
B)35
C)120
D)450
E)750
Rationale: Number of possible ways to select 1 type of spice = 5c1 = 5
Number of possible ways to select 2 types of cheese = 4c2 = 6
Number of possible ways to select 4 types of meat but without pepperoni and anchovies together
= Total number of ways without any restriction - Total number of ways in which pepperoni and anchovies together
= 7c4 - 5c2
=35 - 10
=25
Possible ways to garnish the pizza are available to the customer = 5*6 * 25
=750
Answer E
Answer: E
Question: The value of x + x(xx) when x = 7
Options:
A)A) 350
B)B) 346
C)C) 358
D)D) 336
E)E) 364
Rationale: x + x(xx)
Put the value of x = 7 in the above expression we get,
7 + 7(77)
= 7 + 7(7 Ã— 7)
= 7 + 7(49)
= 7 + 343
= 350 The answer is (A)
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Options:
A)27 7/6
B)27 7/5
C)27 7/2
D)27 7/9
E)27 7/1
Rationale: Relative speed = (40 - 20) = 20 km/hr.
= 20 * 5/ 18 = 50/9 m/sec.
Length of faster train = 50/9 * 5 = 250/9
= 27 7/9 m.
Answer:D
Answer: D
Question: If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.41 then sum is
Options:
A)s.5000
B)s.5100
C)s.5800
D)s.6000
E)s.4100
Rationale: p(r/100)^2=C.I-S.I
P(10/100)^2=41
4100
ANSWER:E
Answer: E
Question: The average temperature of Haridwar in the first four days of a month was 58 degrees C. The average for the second, third, fourth and fifth days was 60 degrees. If the temperature of the first and fifth days were in the ratio 7:8, then what is the temperature on the fifth day of Haridwar?
Options:
A)240 degree
B)64 degree
C)232 degree
D)None of these
E)Cannot be determined
Rationale: Explanation :
Suppose Temperature on 1st day = 7K
Suppose Temperature on 5st day = 8K
So, temperature on T + w + Th + F = 240
232 - 7K = 240 - 8K => K = 8
Temperature on 5th day = 64 degree.
Answer : B
Answer: B
Question: Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and K. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of K if J is negative?
Options:
A)-2
B)K=0
C)1
D)2
E)5
Rationale: since j is negative, therefore median of the set will be 3. which is an odd number. also, we know that odd^n will always be odd. now since 34 is even, therefore 3^w will have only one factor with 34 for w=0.
mode of the set is a number which occurs maximum number of time in the set. now, since K is the mode of the set. therefore K=0. hence answer is B
Answer: B
Question: x=9^10–3^17 and x/n is an integer. If n is a positive integer that has exactly two factors, how many different values for n are possible?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: The expression can be rewritten as (3^2)^10 - 3^17.
Factoring the above we get: 3^17*[(3^3)-1)] = 3^17(26) = 3^17*13*2
The question asks us to find the number of prime factors (number with exactly two factors) of the expression.
From it's factored form we can find that only 2, 3 and 13 will satisfy the above conditions.
Hence Option C
Answer: C
Question: The sum of two numbers is 22. Five times one number is equal to 6 times the other. The smaller of the two numbers is:
Options:
A)10
B)11
C)16
D)12
E)24
Rationale: Sol.
Let the numbers be x and (22 - x).
Then, 5x = 6(22 - x)
⇔ 11x = 132⇔ x = 12.
So, the numbers are 12 and 10.
Answer A
Answer: A
Question: In Town X, 64 percent of the population are employed, and 46 percent of the population are employed males. What percent of the employed people in Town X are females?
Options:
A)16%
B)25%
C)28%
D)40%
E)52%
Rationale: We are asked to find the percentage of females in employed people.
Total employed people 64%, out of which 46 are employed males, hence 18% are employed females.
(employed females)/(total employed people)=18/64=28%
Answer: C.
Answer: C
Question: If a^x = b^3y, then
Options:
A)log a/b= x/y
B)log a/ log b = x/y
C)log a/ log b = 3y/x
D)log b/a = x/y
E)log b/a = y/x
Rationale: a^x = b^3y => log a^x = log b^3y => x log a = 3y log b
=> log a/ log b = 3y/x
ANSWER:C
Answer: C
Question: A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 5, AB = 5 and AC = 11, what is the length of AE?
Options:
A)19
B)21
C)23
D)25
E)27
Rationale: AC = 11 and AB = 5, so BC = 6.
BC = 2CD so CD = 3.
The length of AE is AB+BC+CD+DE = 5+6+3+5 = 19
The answer is A.
Answer: A
Question: The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Options:
A)3500
B)3200
C)3900
D)3400
E)3800
Rationale: Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.
Then, 10x = 4y or y = 5/2 x.
Therefore, 15x + 2y = 4000
=15x + 2 x 5/2x = 4000
=20x = 4000
Therefore, x = 200.
So, y =(5/2 x 200) = 500.
Hence, the cost of 12 chairs and 3 tables = 12x + 3y
= Rs. (2400 + 1500)
= Rs. 3900.
Answer is C.
Answer: C
Question: A man buys a cycle for Rs.1400 and sells it at a loss of 25%. What is the selling price of the cycle?
Options:
A)Rs.1090
B)Rs.1160
C)Rs.1190
D)Rs.1050
E)NONE
Rationale: Solution
S.P	= 75% of Rs.1400
= Rs.(75/100×1400)
Rs.1050.
Answer D
Answer: D
Question: A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 22 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?
Options:
A)3,150
B)4,200
C)5,040
D)30,800
E)84,000
Rationale: MAGOOSHOFFICIAL SOLUTION:
For the large photos, we need 6C3, which we calculated in the article:
6C3 = 20
For the smaller photos, we need 22C19, which by symmetry must equal 22C3, and we have a formula for that. In fact, in the article above, we already calculated that 22C3 = 1540.
Now, by the FCP, we just multiply these: total number of possible albums = 20*1540 = 30800.
Answer = D
Answer: D
Question: Anintegratedteam consists of 2 members from the engineering team and 2 members from the design team. If the engineering team has 7 members and the design team has 5 members, how manyintegratedteam formations are possible?
Options:
A) 36
B) 54
C) 176
D) 210
E) 312
Rationale: 2 out of 7 times 2 out of 5 => 7*6/2*1 * 5*4/2*1 = 210
D
Answer: D
Question: An unbiased cubic die is thrown.What is the probability of getting a multiple of 4?
Options:
A)1/6
B)1
C)2/6
D)3/6
E)1/12
Rationale: S={1,2,3,4,5,6}
P(E)=n(E)/n(S)
n(s)=Total numbers in a die=6
Let E be the event of getting the multiple of 4
then ,E={4}
P(multiple of 4) = 1/6
ans A
Answer: A
Question: Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 10 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone?
Options:
A)4
B)5
C)6
D)12
E)None of these
Rationale: The part of job that Suresh completes in 9 hours
= 9⁄15 = 3⁄5
Remaining job = 1 - 3⁄5 = 2⁄5
Remaining job can be done by Ashutosh in 2⁄5 × 10 = 4 hours
Answer A
Answer: A
Question: If 2 and 3 are positive integers, then 2*3 + 2 is
Options:
A)8
B)10
C)12
D)12
E)16
Rationale: Answer : A
Answer: A
Question: If a - b = 5 and a2 + b2 = 31, find the value of ab.
Options:
A)9
B)2
C)3
D)7
E)12
Rationale: 2ab = (a2 + b2) - (a - b)2
= 31 - 25 = 6
ab = 3.
Answer: C
Answer: C
Question: x and y are positive integers. When x is divided by 12, the remainder is 5, and when x is divided by 13, the remainder is 3. When y is divided by 14, the remainder is 5, and when y is divided by 7, the remainder is 5. What is the least possible value of x + y?
Options:
A)24
B)12
C)64
D)48
E)25
Rationale: When x is divided by 12, the remainder is 5: So, the possible values of x are: 5, 17, 29, 41, etc.
When x is divided by 13, the remainder is 3: So, the possible values of x are: 3,16,29... STOP. Since both lists include 29, the smallest possible value of x is 29.
When y is divided by 14, the remainder is 5: So, the possible values of y are: 5, 19, 33,47 etc.
When y is divided by 7, the remainder is 5: So, the possible values of y are: 5, 19 ...STOP. Since both lists include 19, the smallest possible value of y is 19
Since the smallest possible values of x and y are 29 and 19 respectively, the smallest possible value of x + y is 48. So,D is the correct answer to the original question.
Answer: D
Question: Arun, Akash, Amir and Aswanth go for a picnic. When Arun stands on a weighing machine, Akash also climbs on, and the weight shown was 132 kg. When Akash stands, Amir also climbs on, and the machine shows 130 kg. Similarly the weight of Amir and Aswanth is found as 102 kg and that of Akash and Aswanth is 116 kg. What is Aswanth’s weight?
Options:
A)78 kg
B)44 kg
C)62 kg
D)50 kg
E)None of these
Rationale: Explanation :
Let weight of arun,akash,amir and aswanth be a,b,c and respectively.
a+b=132.......(1)
b+c=130.......(2)
c+d=102.......(3)
b+d=116.......(4)
Evaluating 3 and 4 we get
2b=144
b=72
From (4) we have d=116-72=44.
Therefore weight of aswanth is 44 kg...
Hence (B) is the correct answer.
Answer : B
Answer: B
Question: A 24" x 24" square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 25 nails on each side of the square. Each nail is at the same distance from the neighboring nails. How many nails does the carpenter use?
Options:
A)94
B)95
C)96
D)97
E)98
Rationale: every corner will have one,4 corners will have 4+ and for 4 sides 23
no of nails=4+(4*23)= 96
ANSWER:C
Answer: C
Question: Find the missing figures: 0.2% of ? = 0.02
Options:
A)50
B)100
C)10
D)1000
E)110
Rationale: Let 0.2% of x = 0.02. Then , 0.2*x/100 = 0.02
X= [(0.02*100)/0.2] = 100.
Answer is B.
Answer: B
Question: Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Options:
A)16 seconds
B)18 seconds
C)19 seconds
D)27 seconds
E)10 seconds
Rationale: Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 200 / (15 + 25)5/18 = 200* 18 / 40 * 5
= 18 seconds.
Answer:B
Answer: B
Question: A taxi leaves Point A 5 hours after a bus left the same spot. The bus is traveling 10 mph slower than the taxi. Find the speed of the taxi, if it overtakes the bus in three hours.
Options:
A)20
B)24
C)32
D)16
E)40
Rationale: Let the speed of bus be v - 10, speed of taxi be v
The bus travelled a total of 8 hrs and taxi a total of 3 hrs.
Hence 8 * (v-10) = 3v
8v - 80 = 3v
5v = 80
D
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. What is the length of the train?
Options:
A)120 metres
B)180 metres
C)324 metres
D)250 metres
E)150 metres
Rationale: Speed= 60 x	5/18	m/sec	= 50/3	m/sec.
Length of the train = (Speed x Time).
Length of the train = 50/3	x 15 m = 250 m.
Option D
Answer: D
Question: UNO plans a gathering.
However there is threat of terrorist attack. So security guard who is a mathematical plans somethings to secure the place.
A terrorist stands nearby the door where
1st ambassador comes , the security guard said 'twelve' and ambassador replied with 'six'.
2nd ambassador comes , the security guard said 'six' and ambassador replied with 'three'.
The terrorist thinks its enough and walks to the door.
The security person said 'eight' , terrorist replied 'four' and get immediately arrested.
why ?
Options:
A)Five
B)Three
C)Two
D)Eight
E)Seven
Rationale: A
'five'
Its the count of alphabet
Answer: A
Question: A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 6 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?
Options:
A)4.5 hrs
B)5 hrs
C)6.5 hrs
D)7.2 hrs
E)30 hrs
Rationale: Net part filled in 1 hour= 1/5 -1/6= 1/30
Therefore the cistern will be filled in 30 hours .
ANSWER:E
Answer: E
Question: Molly's age in 18 years will be four times her age eighteen years ago. What is Molly's present age?
Options:
A)20
B)21
C)24
D)30
E)36
Rationale: Let x be Molly's present age.
x + 18 = 4(x-18)
x = 30
The answer is D.
Answer: D
Question: An investor bought two shares of stock, which he sold for $72 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had:
Options:
A)a profit of $10
B)a profit of $6
C)a loss of $6
D)a loss of $10
E)neither a profit nor a loss
Rationale: The cost of the first stock was 72/1.2=60, so the profit from it is 12.
The cost of the second stock was 72/0.8=90, so loss from it is 18.
Overall the loss is $6.
The answer is C.
Answer: C
Question: How many integers from 0 to 50 inclusive have a remainder of 3 when divided by 7?
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: The numbers should be of the form 7c+3.
The minimum is 3 when c=0.
The maximum is 45 when c=6.
There are 7 such numbers.
The answer is C.
Answer: C
Question: One out of five employees are capable of doing a certain task. 80 percent of the five employees, including the one who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable?
Options:
A)43.33%
B)33.33%
C)13.33%
D)75%
E)23.33%
Rationale: Given 80% of 4 employees including 1 who are capable of doing task.
80% of 5 employeees
= 80/100 * 5
= 4 employees
===> 1 employees who are capable of doing the task and three employee who is not capable.
percentage of employees assigned who are not capable
= 3/4 * 100
= 75%
ANSWER:D
Answer: D
Question: A group consists of 4 men, 6 women and 1 child. In how many ways can 2 men , 3 women and 1 child selected from the given group?
Options:
A)400
B)120
C)287
D)278
E)281
Rationale: Explanation:
Two men, three women and one child can be selected in â´Câ‚‚ * â¶Câ‚ƒ * âµCâ‚ ways
= (4 * 3)/(2 * 1) * (6 * 5 * 4)/(3 * 2) * 1
= 120 ways.
Answer:B
Answer: B
Question: Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $4 per page each time a page is revised. If a certain manuscript has 100 pages, of which 30 were revised only once, 20 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
Options:
A)$760
B)$750
C)$810
D)$800
E)$780
Rationale: 50 pages typed 1x
30 pages typed 2x (original + one revision)
20 pages typed 3x (original + two revisions)
50(5)+30(5+4)+20(5+4+4)=250+270+260=780
Answer - E
Answer: E
Question: How many such pairs of digits are there in the number '5391246' in both forward and backward directions, each of which has as many digits between them in the number as when the digits are arranged in ascending order with in the number?
Options:
A)1
B)2
C)0
D)3
E)More than 3
Rationale: Answer: Option E
Answer: E
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 64.50, his capital is?
Options:
A)24,602
B)28,888
C)25,800
D)24,628
E)24,6012
Rationale: Let the capital be Rs. x. Then,
(x * 8 * 1)/100 - (x * 31/4 * 1/100) = 64.50
32x - 31x = 6450 * 4
x = 25,800.
Answer: C
Answer: C
Question: x and y are integers. x + y < 11 and x > 6. What is the smallest possible value of x - y ?
Options:
A)1
B)2
C)4
D)-2
E)-4
Rationale: Focus on the transition points and plug in the values.
x > 6 so x could be 7, 8, 9, 10, 11 etc
Look at x = 7
7 + y < 11
y < 4
y could be 3, 2, 1, 0, -1 etc
When y is 3, we get x - y = 4
This must be the smallest value because as x increases, y reduces so x - y increases.
Take another example. x = 11 so y < 0.
x - y will give a value greater than 11.
Answer (C).
Answer: C
Question: The rate of Interest on a sum of money is 2% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occured on the sum for the total period of 8 years is Rs. 540/-, the sum is
Options:
A)2,200
B)2,000
C)2,100
D)2,250
E)2,540
Rationale: Explanation:
I1 = (P x 3 x 2)/100 = 3P/50
I2 = (P x 4 x 4)/100 = 4P/25
I3 = (P x 1 x 5)/100 = P/20
3P/50 + 4P/25 + P/20 = 540
The L.C.M of 50, 25, 20 = 100
(6P + 16P + 5P)/100 = 540
27P/100 = 540
27P = 54000
P = 54000/27
P = 2000
Answer: Option B
Answer: B
Question: The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
Options:
A)Rs.4098
B)Rs.4078
C)Rs.4097
D)Rs.4096
E)Rs.4028
Rationale: Principal
= [4913 / (1 + 25/(4 * 100))3]
= 4913 * 16/17 * 16/17 * 16/17
= Rs.4096.
Answer:D
Answer: D
Question: Each of the 55 points is placed either inside or on the surface of a perfect sphere. If 60% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
Options:
A)7
B)11
C)13
D)16
E)38
Rationale: Maximum number of points on the surface is 60%*55 = 33
Now note that if two points form a diameter, they cannot be part of any other diameter.
So in the best case we can pair up the points
We have 33 points, so at best we can form 16 pairs (32).
So, answer is (D)
Answer: D
Question: Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers?
Options:
A)140
B)150
C)160
D)170
E)180
Rationale: L.C.M of two numbers is given by
(Product of the two numbers) / (H.C.F of the two numbers) = 2560/16 = 160.
ANSWER:C
Answer: C
Question: X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
Options:
A)6 months
B)8 months
C)4 months
D)2 months
E)5 months
Rationale: Investments of X, Y and Z respectively are Rs. 20000, Rs. 25000 and Rs. 30000
Let investment period of Z be x months.
Ratio of annual investments of X, Y and Z is (20000 * 12) : (25000 * 12) : (30000 * x)
= 240 : 300 : 30x = 8 : 10 : x
The share of Z in the annual profit of Rs. 50000 is Rs. 14000.
=> [x/ (18 + x)] 50000 = 14000 => [x/ (18 + x)] 25 = 7
=> 25x = 7x + (18 * 7) => x = 7 months.
Z joined the business after (12 - 7) months. i.e., 5 months.
Answer:E
Answer: E
Question: The ratio between the present ages of P and Q is 5 : 7 respectively. If the difference between Q's present age and P's age afler 6 years is 2, what is the total of P's and Q's present ages?
Options:
A)46 years
B)48 years
C)52 years
D)56 years
E)None
Rationale: Solution
Let the present ages of P and Q be 5x years and 7x years respectively.
Then	7x-(5x+6)=2
2x=8
x=4.
Required sum	= 5x+7x
=12x
=12×4
=48 years.
Answer B
Answer: B
Question: Of the 90 employees of a certain company, twice as many are in the sales department as are in all of the other departments combined. What is the number of employees in the sales department?
Options:
A)15
B)20
C)30
D)40
E)60
Rationale: This is ratio problem solving question.
I will prefer to use RMV box.
R M V
Sales 2 30 60
Other 1 30 30
Total 3 30 90
Answer is 60. i.eE
Answer: E
Question: A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
Options:
A)16
B)30
C)88
D)26
E)12
Rationale: The circumference of the circle is equal to the permeter of the rectangle.
Let l = 6x and b = 5x 2(6x + 5x) = 2 * 22/7 * 3.5
=> x = 1
Therefore l = 6 cm and b = 5 cm Area of the rectangle = 6 * 5
= 30 cm2
Answer:B
Answer: B
Question: There are 2 red chips and 2 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
Options:
A)A)10
B)B)12
C)C)24
D)D)60
E)E)100
Rationale: Using anagram method:
4_3_2_1
R_R_B_B
so..
4!/Number of repeated letters (2!)(2!) = 6
ANS:D
Answer: D
Question: If the price has fallen by 15% what percent of its consumption be: increased so that the expenditure may be the same as before?
Options:
A)11 1/8%
B)11 1/5%
C)17 11/17%
D)18 7/9%
E)21 1/9%
Rationale: 100 â€“ 15 = 85
85------15
100------? => 17 11/17%
Answer: C
Answer: C
Question: A worker is paid a regular rate of Rs.20 for completing a survey. The worker completes 100 surveys per week. For any survey involving the use of her cellphone, she is paid at a rate of that is 10% higher than her regular rate. If she completed 70 surveys involving the use of her cellphone, how much did she get that week?
Options:
A)2140
B)1140
C)550
D)650
E)750
Rationale: Amount earned using her cell phone = 70 * 22 = 1540
earned for remaining surveys = 30 * 20 = 600
Total earning = 2140
Answer : A
Answer: A
Question: A certain music store stocks 800 cellos and 600 violas. Of these instruments, there are 110 cello-viola pairs, such that a cello and a viola were both made with wood from the same tree (each tree can make at most one viola and one cello, so there are no pairs other than these 90). If one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree?
Options:
A)11/48,000
B)1/8,100
C)3/1,600
D)1/90
E)2/45
Rationale: Solution provided by stanford2012 is correct: 110/800 choosing one of the cellos which has a pair viola, 1/600 choosing the viola which is the pair of chosen cello --> P=110/800*1/600=311/48,000.
Answer: A.
Answer: A
Question: Sourav walks 20 meters towards North. He then turns left and walks 40 meters. He again turns left and walks 20 meters. Further, he moves 20 meters after turning to
right. How far is he from his original position?
Options:
A)88
B)90
C)60 meters
D)27
E)91
Rationale: Explanation:
No explanation is available for this question!
ANSWER:C
Answer: C
Question: A train having a length of 1/4 mile , is traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Options:
A)1
B)2
C)4
D)5
E)3
Rationale: Total distance = 3 ½ + ¼ = 7/2 + ¼ = 15/4 miles
Speed = 75 mph
Time = distance/speed = (15/4) / 75 hr = 1/20 hr = 60/20 minutes = 3 minutes
Answer is E.
Answer: E
Question: A person's present age is two-fifth of the age of his mother. After 10years, he will be one - half of the age of his mother. How old is the mother at present ?
Options:
A)45
B)30
C)50
D)25
E)31
Rationale: Let the mother's present age be x years
Then the person's present age = 2x/5
(2x/5)+10 = 1/2(x+10)
2(2x+40) = 5 (x+10)
x = 50
Answer is C
Answer: C
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is?
Options:
A)5336
B)5345
C)5350
D)5356
E)5350
Rationale: Divisor = (5 * 46) = 230
= 10 * Quotient = Divisor
=> Quotient = 230/10 = 23
Dividend = (Divisor * Quotient) + Remainder
Dividend = (230 * 23) + 46 = 5336.
A)
Answer: A