RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: On Charlie's cell phone plan, he signed up for 8GB of data per 4 week period. If he went over the 8GB per month, it would cost him an extra $10.00 per GB.
In the first week, he used 2 GB; in the 2nd week, he used 3 GB; in the 3rd week, he used 5 GB; and in the 4th week, he used a whopping 10GB.
How much extra did Charlie need to pay on his cell phone bill?
A.$120
B.$40
C.$80
D.$100
Answer: A.$120
Explanation: To determine how much extra he would need to pay, you have to add all 4 weeks of GB usage (2+3+5+10 = 20).
To determine the extra amount of GB usage, you have to subtract the the original amount of GB (8) allowed on his plan. 20-8 = 12
To determine the extra cost on his cell phone plan, you have to multiply $10.00 per extra usage (12) for a total of $120.00.
The correct answer is A
Question: The ratio between the speeds of two trains is 3: 4. If the second train runs 400 kms in 6 hours, then the speed of the first train is ?
A.50.01 km/hr
B.51.01 km/hr
C.40.01 km/hr
D.52.01 km/hr
Answer: A.50.01 km/hr
Explanation: Explanation:
Let the speeds of two trains be 3X and 4X km/hr.
4/X=400/6=>X=16.67 Km/hr
So speed of first train is 16.67*3 = 50.01 km/hr
Option A
Question: In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
A.A)160
B.B)170
C.C)190
D.D)1680
Answer: D.D)1680
Explanation: 8p4 = 8 x 7 × 6 × 5 = 1680
Option 'D'
Question: If 2994 Ã· 14.5 = 173, then 29.94 Ã· 1.45 = ?
A.17.1
B.17.3
C.17.5
D.17.7
Answer: B.17.3
Explanation: 29.94/ 1.45 = 299.4/14.5
= (2994/14.5) x 1/10) [ Here, Substitute 173 in the place of 2994/14.5 ]
= 173/10
= 17.3
Answer is B.
Question: 1764 can be expressed as a product of primes as
A.2 × 2 × 3 × 3 × 7 × 7
B.2 × 3 × 3 × 3 × 7 × 7
C.2 × 2 × 2 × 3 × 3 × 7
D.2 × 3 × 3 × 3 × 3 × 7
Answer: A.2 × 2 × 3 × 3 × 7 × 7
Explanation: Explanation:
It is clear that 1764 = 2 × 2 × 3 × 3 × 7 × 7
Answer: Option A
Question: A volume of 10936 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
A.2812
B.8231
C.2734
D.4222
Answer: C.2734
Explanation: a volume of 4l can be kept in 1 hemisphere
therefore, a volume of 10936l can be kept in (10936/4) hemispheres
ans.2734
ANSWER:C
Question: The unit digit in the product (624 * 708 * 913 * 463) is:
A.2
B.7
C.6
D.8
Answer: D.8
Explanation: Explanation:
Unit digit in the given product = Unit Digit in (4*8*3*3) = 8
ANSWER: D
Question: In business, A and C invested amounts in the ratio 3:2, whereas the ratio between amounts invested by A and B was 3:1, If Rs 60000 was their profit, how much amount did C receive.
A.10000
B.20000
C.15000
D.61000
Answer: B.20000
Explanation: Explanation:
A:B = 3:1 = 3:1
=> A:C = 3:2 = 3:2
=> A:B:C = 3:1:2
C share = (2/6)*60000= 20000
Option B
Question: The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
A.11
B.86
C.66
D.55
Answer: B.86
Explanation: Let the four integers be A, B, C and D where A > B > C > D.
(A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1)
A = 93, D = 39 and B - C = 28
(1) => B + C = 276 - (A + D) = 276 - 132 = 144.
B + B -28 = 144
B = (144 + 28)/2 = 86
Answer:B
Question: 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?
A.7
B.8
C.6
D.5
Answer: A.7
Explanation: Let 1 woman's 1 day work = x.
Then, 1 man's 1 day work = x/2 and 1 child's 1 day work x/4.
So, (3x/2 + 4x + + 6x/4) = 1/7
28x/4 = 1/7 => x = 1/49
1 woman alone can complete the work in 49 days.
So, to complete the work in 7 days, number of women required = 49/7 = 7.
Answer: A
Question: If GAVE is coded as 4657 and RAT is coded as 333. How is GATE coded?
A.4673
B.4367
C.4637
D.4763
Answer: C.4637
Explanation: g-4 a-6 e-7 from the code gate
t - 3 from bat
ANSWER:C
Question: The perimeter of an isosceles right triangle is 4 + 4 sq rt 2. What is the length of the hypotenuse of the triangle?
A.2.82
B.2
C.3
D.4
Answer: A.2.82
Explanation: side of triangle is a then perimeter = a+ a +a.sqrt2 ( right angle and pythagorus) =2a +a .sqrt 2 = 4 + 4 Sqrt2 or,
a. ( 2+ sqrt2) = 4(1 + sqrt2) a= 4.( 1+sqrt2)/2+sqrt2 =4*2.414/3.414 = then hypotenuse = 2.82
A
Question: If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction becomes 5⁄8 and if the numerator of the same fraction is increased by 3 and the denominator is increased by I the fraction becomes 3⁄4. What is the original fraction?
A.Data inadequate
B.2⁄7
C.4⁄7
D.3⁄7
Answer: D.3⁄7
Explanation: Let the original fraction be x⁄y.
Then x+2y+1=58x+2y+1=58 or, 8x – 5y = – 11........ (i)
Again, x+3y+1=34x+3y+1=34 or, 4x – 3y = –9........ (ii)
Solving, (i) and (ii) we get x = 3 and y = 7
∴ fraction = 3⁄7
Answer D
Question: A city had 400 migrants in the year 2000. Since then, The number of migrants in a countrythe city has doubled every 3 years. If there were 400 migrants in the country in the year 2000, What was the increase in the population of migrants during the period from 2009 to 2012?
A.1400
B.2300
C.3000
D.3200
Answer: D.3200
Explanation: The population will increase in the following order:
2000: 400
2003: 800
2006: 1600
2009: 3200
2012: 6400
Difference between 2009 and 2012 = 3200
Option D
Question: A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
A.1260
B.1279
C.1023
D.1927
Answer: C.1023
Explanation: Given that, the question paper consists of five problems. For each problem, one or two or three or none of the choices can be attempted.
Hence, the required number of ways = 45 - 1.
= 210 - 1 = 1024 - 1 = 1023
Answer:C
Question: Three numbers are in the ratio 1:2:3 and their H.C.F is 62. The numbers are:
A.62, 124, 186
B.60, 124, 186
C.10, 20, 30
D.62, 24, 186
Answer: A.62, 124, 186
Explanation: Let the required numbers be x, 2x and 3x. Then, their H.C.F = x. So, x = 62.
The numbers are 62, 124, 186.
ANSWER:A
Question: The present age of the father is 3years more than 3 times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father?
A.22years
B.30years
C.33years
D.15years
Answer: C.33years
Explanation: Let the son's present age be x years
father's present age = (3x+3)
3x+3+3 = 2(x+3)+10
3x+6 = 2x+16
x = 10
father's present age = 3x+3 = 3*10+3 = 33 years
Answer is C
Question: If a = 105 and a^3 = 21 × 25 × 45 × b, what is the value of b?
A.35
B.42
C.45
D.49
Answer: D.49
Explanation: a=105 = 3* 5 *7
a^3 = 21 × 25 × 45 × b
=> a^3 = (7*3) x (5*5) x ( 3^2 * 5) x b
=> a^3 = 3^3 * 5^3 * 7 x b
=>( 3* 5 *7) ^3 = 3^3 * 5^3 * 7 x b
b = 7^2 = 49
Answer D
Question: Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take a day more. How long does it take to complete the task if they both work together?
A.5
B.4.5
C.6
D.7
Answer: A.5
Explanation: Work done by A & B in a day = x &y respectively.
When A starts:
No. of days when A works = 6No. of days when B works = 4 → 6x + 4y = 1
When B starts:
No. of days when b works = 5 No. of days when A works = 5 → 5x + 5y = 1
Solving the above two equations for xy
x = 1/10 y = 1/10
→ Total work done by AB in a day = 1/10 + 1/10 = 2/10 = 1/5
→ No. of days to complete the work when both work together = 5
Answer: A
Question: In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:
A.20 liters
B.30 liters
C.40 liters
D.60 liters
Answer: D.60 liters
Explanation: Quantity of milk = 60 x	2	litres = 40 litres.
3
Quantity of water in it = (60- 40) litres = 20 litres.
New ratio = 1 : 2
Let quantity of water to be added further be x litres.
Then, milk : water = 40 .
20 + x
Now, 40 =	1
20 + x	2
20 + x = 80
x = 60.
Quantity of water to be added = 60 litres
so the correct answer is option D)
Question: 7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?
A.450
B.490
C.500
D.650
Answer: D.650
Explanation: Sol. Let the books distributed by man, a woman and a child be 5x, 4x and 2x respectively.
∴ No. of books distributed in 1st day
= 7×5x+5×4x+8×2x=71x
No. of books distributed in 1Ind day
=7×5x+3×4x+5×2x=57x
And no. of books distributed in IIIrd day
=4×5x+5×4x+3×2x=46x
71x + 57x + 46x = 2000, x = 2000/174
57x=2000/174×57=650
D
Question: A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
A.68,98
B.60,60
C.64,87
D.64,09
Answer: B.60,60
Explanation: Let the number of boys be x.
Number of girls is 120 - x.
Total number of chocolates received by boys and girls = 2x + 3(120 - x) = 300
=> 360 - x = 300 => x = 60.
So, the number of boys or girls is 60.
Answer:B
Question: The product of all the prime numbers less than 25 is closest to which of the following powers of 10?
A.10^9
B.10^8
C.10^7
D.10^8
Answer: D.10^8
Explanation: Quickly approximate
2, 3, 5, 7, 11, 13, 17, 19,23
=2.2 *10^8
D
Question: A computer wholesaler sells 7 different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display?
A.5/35
B.3/28
C.1/28
D.1/56
Answer: A.5/35
Explanation: Since, two of the choices are prefixed, we are free to choose 1 from the rest of the 5 avilable. so 5C1 is the numerator.
Total no of ways we can choose 3 from 7 is 7c3, which is the denominator.
So, the probability: 5c1/7c3= 5/35 ans is A.
Question: Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate W in miles per hour for the entire trip?
A.W=26.7
B.W=30.0
C.W=40.0
D.W=53.3
Answer: C.W=40.0
Explanation: VERITAS PREPOFFICIAL SOLUTION
Correct Answer: C
Using the formula: Time = Distance/Rate, we find that Mike takes 4 hours to cover the first 320 miles of his trip. Since the 2nd 320 miles take 200% longer than the first, it takes Mike 8 hours longer, or 12 hours. (Note: 200% longer than the first half is not 200% of the first half.) The overall time is 4 hours + 12 hours or 16 hours. Since the definition of Average Rate = Total Distance Traveled/Total Time of Travel, Mike's average rate = 640/16 or 40 miles per hour.
Answer choice C is correct.
Question: 1.A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member
A.A.10%
B.B.20%
C.C.25%
D.D.42%
Answer: D.D.42%
Explanation: A,B, C is too low so I eliminated those answers, E was too high of a number, so I chose D as my final answer.D
Question: A father was as old as his son's present at the time of your birth. If the father's age is 36 years now, the son's age 5years back was?
A.10 years
B.12 years
C.14 years
D.13 years
Answer: D.13 years
Explanation: Let the son's present age be x years. Then, (36 - x) = x
2x = 36.
x = 18.
Son's age 5 years back (18 - 5) = 13 years.
D
Question: A man can row 6 kmph in still water. When the river is running at 3 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
A.5.75
B.4.5
C.5.76
D.5.74
Answer: B.4.5
Explanation: M = 6
S = 3
DS = 9
US = 3
x/9 + x/3 = 1
x = 2.25
D = 2.25 * 2 = 4.5 Answer: B
Question: A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 3, and the fifth digit is 2 times the sixth. How many different credit card numbers are possible?
A.18
B.24
C.36
D.48
Answer: C.36
Explanation: The first two digits are fixed.
The third digit can be 7, 8, or 9 so there are 3 choices.
The fourth digit can be 3, 6, or 9 so there are 3 choices.
The fifth digit depends entirely on the sixth digit.
The sixth digit can be 1, 2, 3, or 4 so there are 4 choices.
The number of possibilities is 3*3*4 = 36
The answer is C.
Question: John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.19.7
B.21
C.21.4
D.21.5
Answer: A.19.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7
A
Question: The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number T?
A.60
B.80
C.40
D.120
Answer: B.80
Explanation: (1 + 1/8)x - (1 - 1/4)x = 30
(9/8)x - (3/4)x = 30
x = 80=T
Answer: B
Question: Barbata invests $2400 in the National Bank at 4%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
A.1200
B.3000
C.2400
D.3600
Answer: C.2400
Explanation: Let the additional invested amount for 8% interest be x;
Equation will be;
2400+0.04*2400+x+0.08x = 2400+x+0.06(2400+x)
0.04*2400+0.08x = 0.06x+0.06*2400
0.02x = 2400(0.06-0.04)
x = 2400*0.02/0.02 = 2400
Ans:C
Question: A goods train runs at the speed of 72 kmph and crosses a 240 m long platform in 26 seconds. What is the length of the goods train?
A.230 m
B.270m
C.643m
D.280m
Answer: D.280m
Explanation: Speed =	(72 x	5/18)m/sec	= 20 m/sec.
Time = 26 sec.
Let the length of the train be x metres.
Then,	x + 240/26	= 20
x + 240 = 520
x = 280.
Answer:D
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
A.8 ½ sec
B.6 ½ sec
C.2 ½ sec
D.7 ½ sec
Answer: D.7 ½ sec
Explanation: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100
= 250 m
T = 250 * 3/100
= 15/2
= 7 ½ sec
Answer: D
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
A.288
B.150
C.188
D.166
Answer: B.150
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 100)/25 = x/15 => x = 150 m.
Answer: B
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 4 years?
A.6%
B.2%
C.4%
D.5%
Answer: D.5%
Explanation: 150 = (750*4*R)/100
R = 5%
Answer: D
Question: Two trains are moving at 90 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
A.42/5 sec
B.45/8 sec
C.40/6 sec
D.37/6 sec
Answer: B.45/8 sec
Explanation: 70 + 90 = 150 * 5/18 = 400/9 mps
D = 150 + 100 = 250 m
T = 250 * 9/400 = 45/8 sec
Answer:B
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 6 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
A.33
B.44
C.48
D.52
Answer: A.33
Explanation: Let the capacity of the can be T litres.
Quantity of milk in the mixture before adding milk = 4/9 (T - 6)
After adding milk, quantity of milk in the mixture = 6/11 T.
6T/11 - 6 = 4/9(T - 6)
10T = 594 - 264 => T = 33.
ANSWER:A
Question: Martha takes a road trip from point A to point B. She drives x percent of the distance at 70 miles per hour and the remainder at 50 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
A. 110
B. 35,000
C. 1,100
D. 3,000
Answer: B. 35,000
Explanation: total distance = d
total time taken = x/(100*70) + (100-x)/(100*50)
speed = distance / time
gives numerator = 35000
Answer : B
Question: A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 40.00?
A.$ 10.00
B.$ 11.20
C.$ 22.40
D.$ 16.00
Answer: C.$ 22.40
Explanation: For retail price = $40
First maximum discounted price = 40 - 30% of 40 = 40-12 = 28
Price after additional discount of 20% = 28 - 20% of 28 = 28 - 5.6 = 22.4
Answer: Option C
Question: Beth received 4/10 of the votes cast in a certian election. What franction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
A.1/6
B.2/7
C.3/10
D.7/20
Answer: A.1/6
Explanation: Let the total votes be 10. Beth received 4 votes, other votes 10-4=6. In order to have received 1/2 of the votes she needed 5 votes so 1 more, which is 1/6 of the other votes.
Answer: A.
Question: If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many digits does this integer consists of?
A.150
B.339
C.342 integers
D.359
Answer: C.342 integers
Explanation: 1-digit integers
Number of 1-digit integers (1 to 9) = 9 - 1 + 1 = 9
Number of digits used = (9)(1) = 9
2-digit integers
Number of 2-digit integers (10 to 99) = 99 - 10 + 1 = 90
Number of digits used = (90)(2) = 180
3-digit integers
Number of 3-digit integers (100 to 150) = 150 - 100 + 1 = 51
Number of digits used = (51)(3) = 153
TOTAL # of digits uses = 9 + 180 + 153 = 342
Answer: C
Question: Instead of multiplying a number by 5, the number is divided by 5. What is the percentage of error obtained ?
A.98%
B.97%
C.96%
D.99%
Answer: C.96%
Explanation: let the number be x
the right number is 5x
the wrong number is x/5
error is(5x-x/5)=24x/5
percentage of error is((24x/5)/5x)*100=96%
ANSWER:C
Question: The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?
A.323
B.377
C.344
D.239
Answer: C.344
Explanation: Explanation:
Let the four numbers be x, x + 2, x + 4 and x + 6.
=> x + x + 2 + x + 4 + x + 6 = 36
=> 4x + 12 = 36 => x = 6
The numbers are 6, 8, 10 and 12.
Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
Answer: C
Question: What is the greatest prime factor of 4^18 - 2^30?
A.2
B.3
C.5
D.7
Answer: D.7
Explanation: 4^18 - 2^30
=(2^2)^18 - 2^30
= 2^36 - 2^30
= 2^30 (2^6 -1)
= 2^30 * (64-1)
= 2^30 * 63
= 2^30 * 7 * 9
= 2^30 * 3^2 * 7
The greatest prime factor is 7.
The answer is D.
Question: the twonumbers (23__)^32 and (12__)^ 33 has 6 in the last digit what is the missing digit ?
A.4
B.5
C.six (6)
D.7
Answer: C.six (6)
Explanation: it should be 6
as last digit in all powers of nos with unit digit 6 is 6.
ANSWER:C
Question: 121 x 5^4 = ?
A.75625
B.68225
C.72325
D.71225
Answer: A.75625
Explanation: Explanation :
121×5^4=121×(10/2)^4=(121×10000)/16=7.5625×10000=75625
Answer is A
Question: Find the area of a parallelogram with base 48 cm and height 36 cm?
A.1730 cm2
B.1728 cm2
C.1870 cm2
D.1890 cm2
Answer: B.1728 cm2
Explanation: Area of a parallelogram = base * height
= 48 * 36
= 1728 cm2
Answer: B
Question: Find the number of different meals of 4 items that you can get from the given menu of 6 items and no need to choose different items.
A.120
B.126
C.5040
D.15
Answer: D.15
Explanation: total item : 6
we can select : 4
thus -> 6C4 which = 6C2
:: 6*5/ 2*1 = 15
ANSWER:D
Question: A survey was taken among 100 brainiacs. Of those surveyed, twice as many brainiacs likerebus teasers as math teasers. If 18 brainiacs like both rebus teasers and math teasers and 4like neither kind of teaser, how many brainiacs like math teasers but not rebus teasers?
A.17
B.18
C.19
D.20
Answer: D.20
Explanation: let X brainiacs like ONLY rebus teasers and Y brainiacs like ONLY math teasers .
NOW,X+Y=100-18-4=78.
ALSO GIVEN THAT,X+18=2(Y+18)
X=2Y+18.
78-Y=2Y+18
3Y=60
Y=20
SO 20 brainiacs like math teasers but not rebus teasers
ANSWER:D
Question: Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 9020, then what will be the share of Sameer in the profit?
A.s.3080
B.s.2380
C.s.2329
D.s.2329
Answer: A.s.3080
Explanation: Kamal : Sameer = (9000 * 12) : (8000 * 7)
= 108:56 = 27:14
Sameer's share = 9020 * 14/41
= Rs.3080.
Answer: A
Question: A person can walk at a constant rate of 8mph and can bike at a rate of 16mph. If he wants to travel 88 miles in 8 hours using bike and walking at their constant rates, how much distance would he require to walk?
A.20
B.30
C.40
D.60
Answer: C.40
Explanation: Total distance = 88
Distance = Speed * Time
Walking speed = s1 = 8
Walking time = t1
Bike speed = s2 = 16
Time traveled in bike = t2
d1 + d2 = 88
s1t1 + s2t2 = 88
8*t1 + 16*t2 = 88
t1 + 2*t2 = 11 ----- (1)
Given: t1 + t2 = 8 ----- (2)
(1) - (2) --> t2 = 3 and t1 = 8 - 3 = 5
Walking distance = s1*t1 = 8*5 = 40
Answer: C
Question: The sum of all the integers k such that −26 < k < 24 is
A. 0
B. −2
C. −25
D. −49
Answer: D. −49
Explanation: Since k defines a range between −26 < k < 24 we can set 0 as the reference point for the negative values and positive values.
The negative values will range from -25 to 0 whereas the positive values will range from 0-23.
We can conclude that for all but -25 and -24 the number pairs will add to 0. So we have left -25 - 24 = -49.
Answer D.
Question: What is the Value given by the equation (-2+a)^2=(a-2)^2?
A.Indefinite
B.Two
C.Three
D.One
Answer: D.One
Explanation: (-2+a)^2=(a-2)^2
Both the equations in RHS and LHS are equal
So it give the Value One
Option D is answer
Question: A customer purchased a package of ground beef at a cost of $1.80 per pound. For the same amount of money, the customer could have purchased a piece of steak that weighed 20 percent less than the package of ground beef. What was the cost per pound of the steak?
A.$2.05
B.$2.15
C.$2.25
D.$2.35
Answer: C.$2.25
Explanation: For simplicity, let's assume the customer bought 1 pound of ground beef for $1.80.
Let x be the price per pound for the steak.
Then 0.8x = 180
x = 180/0.8 = $2.25
The answer is C.
Question: Find 16th term in the series 7, 13, 19, 25, ...
A.97
B.98
C.99
D.100
Answer: A.97
Explanation: SOLUTION:
a = 7
d = 13 – 7 = 6
16th term, t16 = a + (n-1)d = 7 + (16 – 1)6 = 7 + 90 = 97
ANSWER IS A
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1672 cm is?
A.22
B.28
C.19
D.12
Answer: C.19
Explanation: 2 * 22/7 * 14 * x = 1672 => x = 19
Answer: C
Question: During one month at a particular restaurant, 1/6 of the burgers sold were veggie burgers and 1 of the rest of the burgers sold were double-meat. If x of the burgers sold were double-meat, how many were veggie burgers?
A.x/8
B.x/5
C.2x/3
D.3x/4
Answer: B.x/5
Explanation: Let y be the number of total burgers.
veggie = y/6 , non veggie = 5y/6
1/4 of the rest of the burgers sold were double-meat
=> 5y/6 * 1 = double meat = x
=> y/6 = x/5 = veggie
Hence B
Question: A can run 3 km distance in 2 min , while B can run this distance in 2 min 30 sec. By how much distance can A beat B?
A.900 m
B.600 m
C.120 m
D.180 m
Answer: B.600 m
Explanation: A takes time 2 minutes=120sec
B takes time 2.30 minutes=150sec
diffrence= 150-120=30sec
now we are to find distance covered in 30 sec by B
150sec=3000m
1sec=20 m
30sec=20x30=600m
ANSWER:B