RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 16 times as heavy as water?
A.1:2
B.7:3
C.4:1
D.5:2
Answer: B.7:3
Explanation: G = 19W
C = 9W
Let 1gm of gold mixed with x gm of copper to get 1+x gm of the alloy
1gm gold + x gm copper = x+1 gm of alloy
19W+9Wx = x+1 * 16W
19+9x = 16(x+1)
x = 3/7
Ratio of gold with copper = 1:3/7 = 7:3
Answer is B
Question: How many possible ways can 5 girls (Rebecca, Kate, Ashley) go on a date with 5 boys (Peter, Kyle, Sam)?
A. 3
B. 120
C. 5
D. 6
Answer: B. 120
Explanation: Any one girl can go with 5 boys.
2nd girl can go with remaining 4 boys
3nd girl can go with remaining 3 boys
4nd girl can go with remaining 2 boys. 5nd girl can go with remaining 1 boys. 5! i.e 120 (B) is the answer
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
A.18%
B.19%
C.28%
D.68%
Answer: A.18%
Explanation: 1500 ---- 270
100 ---- ? => 18%
Answer: A
Question: In an examination a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
A.8
B.9
C.10
D.11
Answer: D.11
Explanation: Let the number of papers be x. Then,
63x + 20 + 2 = 65x
= 2x = 22
= x = 11.
ANSWER:D
Question: A trader sells 60 meters of cloth for Rs. 8400 at the profit of Rs. 12 per metre of cloth. What is the cost price of one metre of cloth?
A.128
B.140
C.123
D.110
Answer: A.128
Explanation: SP of 1m of cloth = 8400/60 = Rs. 140
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 140 - Rs. 12 = Rs. 128.
Answer: A
Question: A person covers a distance in 6 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes.
A.18 m/s
B.4 m/s
C.15 m/s
D.10 m/s
Answer: B.4 m/s
Explanation: Explanation:
T = 6 m
Spees = 12 kmph
= 12 x 5/18 = 10/3 m/s
Let new speed be "x"
6 x (10/3) = 5x
x = 4 m/s
Answer: Option B
Question: A train which has 500 m long, is running 100 kmph. In what time will it cross a person moving at 10 kmph in same direction ?
A.20 sec
B.25 sec
C.30 sec
D.35 sec
Answer: A.20 sec
Explanation: Time taken to cross a moving person = length of train/ relative speed
Time taken = 500/((100-10) (5/18) = 500/ 90*(5/18) = 500/25= 20 sec
Answer: A
Question: The ratio of the volumes of two cubes is 125 : 216. What is the ratio of their total surface areas?
A.25:36
B.12:25
C.25:46
D.18:22
Answer: A.25:36
Explanation: Ratio of the sides = Â³âˆš125 : Â³âˆš216
= 5 : 6
Ratio of surface areas =25:36
Answer: A
Question: Calculate the cost of b bags of grains given that the cost of c bags of said grain is d rupees?
A.Rs.(b/d*c)
B.Rs.(d*c)
C.Rs.(d/c)
D.Rs.(bd/c)
Answer: D.Rs.(bd/c)
Explanation: Cost of c bags = Rs. d.
Cost of 1 bag = Rs.	d/c
Cost of b bags = Rs.(d/c)* b= Rs.(bd/c)
Answer is D.
Question: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
A.Rs.7500
B.Rs.7000
C.Rs.8000
D.Rs.6500
Answer: A.Rs.7500
Explanation: P = (d * 1002) / R2
=> (48 * 100 * 100) / 8 * 8 = Rs.7500
ANSWER:A
Question: If n is a positive integer, then n(n+1)(n+2) is even without any condition
A.divisible by 3 only when n is odd
B.divisible by 4 whenever n is even
C.odd whenever n is odd
D.even only when n is odd
Answer: B.divisible by 4 whenever n is even
Explanation: n*(n+1)*(n+2)= +ve even integer divisible by 4 ( e.g 6,7&8)
B
Question: A car covers a distance of 200 metres in 1 minute whereas a bus covers a distance of 100kms in 50minutes. The ratio of their speeds is?
A.ratio 2:3
B.ratio 1:5
C.ratio 1:10
D.ratio 9:13
Answer: C.ratio 1:10
Explanation: Ratio of speeds = (200/60) 18/5 : 60*100/50 = 12:120 = 1:10
Answer is C
Question: If 4 (A’s capital) = 6 (B’s capital) = 10 (C’s capital), then out of a profit of Rs.4650, C will receive:
A.Rs.2250
B.Rs.1550
C.Rs.900
D.Rs.465
Answer: C.Rs.900
Explanation: 4A = 6B = 10C = k => A = k/4, B = k/6 and C = k/10.
Therefore, A : B : C = k/4 : k/6 : k/10 = 15 : 10 : 6
Therefore, C’s share = Rs. 4650* 6/31
= Rs.900.
ANSWER:C
Question: Jim is now 18 years older than Betty. If in 8 years Jim will be twice as old as Betty, how old will Jim be in 4 years?
A.30
B.32
C.34
D.36
Answer: B.32
Explanation: J=B+18 so B=J-18.
J+8=2(B+8).
J+8=2(J-18+8).
J+8=2J-20.
J=28.
In 4 years, Jim will be 32 years old.
The answer is B.
Question: John and Lewis leave Chennai for Bangalore simultaneously at 6 P.M in the evening driving in two cars at speeds of 50 mph and 70 mph respectively. As soon as Lewis reaches Bangalore he returns back to Chennai along the same route and meets John on the way back. If the distance between the two cities is 140 miles, how far from Chennai did John and Lewis meet?
A.110 miles
B.130 miles
C.100 miles
D.125 miles
Answer: C.100 miles
Explanation: Time taken by Lewis to reach Bangalore = 140/70 = 2 hours
In 2 hours, John travels 50*2 = 100 miles
So distance at which they meet should be greater than 100 miles.
Only C satisfies.
Answer is C.
Question: The perimeter of a equilateral triangle and regular hexagon are equal. Find out the ratio of their areas?
A.3:2
B.2:3
C.1:6
D.6:1
Answer: B.2:3
Explanation: Explanation :
As a triangle has 3 sides and a regular hexagon has 6 sides , so the length of sides of triangle (let 2A) will be twice than that of Hexagon (let A)
A regular hexagon can be divided into 6 nos of equilateral triangles of side A.
As side of bigger triangle is double its area will be square of it i.e 4 times the smaller triangle.
Therefore Ar. of Trinagle : Ar. of Hexagon = 4X : 6X = 2:3
Answer : B
Question: If the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 3, what is the ratio of apples to cucumbers?
A.4:9
B.4:3
C.3:7
D.2:5
Answer: A.4:9
Explanation: The ratio of bananas to cucumbers is 1 to 3 which equals 3 to 9.
The ratio of apples to bananas to cucumbers is 4 to 3 to 9.
The answer is A.
Question: Ajay working in a Cellular company as a salesman. His monthly salary is Rs. 200. But he gets bonus as per given rule. If he sells simcards of Rs. X then his bonus will be [(x /100)2 +10]. In the first quarter of the year his average sale was Rs. 3000 per month. In the next 5 five month his average sale was Rs. 5000 per month and for next four month his average sale was Rs. 8000 per month. What is the average earning per month for the whole year?
A.Rs. 3350
B.Rs. 3610
C.Rs. 3750
D.Rs. 3560
Answer: B.Rs. 3610
Explanation: Solution: Bonus for the first three month,
= [(3000 /100)2 +10] *3
= Rs. 2710.
Bonus for the next five month,
= [(5000 /100)2 +10] *5
= Rs. 12550.
Bonus for the next four month,
= [(8000 /100)2 +10] *4
= Rs. 25640.
Total earning as bonus for whole year,
= 2710 + 12550 +25640
= Rs. 40900.
His average bonus = 40900 /12 = Rs. 3410
Thus his average earning for whole year,
= 3410 + 200
= Rs 3610.
Answer: Option B
Question: Every disk in a bag is either blue, yellow or green. The ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8. If the total number of disks in the bag is 126, how many more green disks than blue disks are in the bag?
A.25
B.28
C.30
D.35
Answer: D.35
Explanation: Let B:Y:G = 3x:7x:8x.
3x + 7x + 8x = 18x = 126 --> x= 7.
G - B = 8x - 3x = 5x = 35.
The answer is D.
Question: we have 6 weights one of 2 kg one of 3 kg one of 5 kg one of 1 kg one of 10 kg one of 50 kg by using only four weight how many weight you can weight
A.15
B.25
C.14
D.16
Answer: A.15
Explanation: select 6 weight out of 4, 6C4=15
ANSWER:A
Question: The unit digit in the product 3421*6721*4584*6784 is?
A.0
B.1
C.6
D.3
Answer: C.6
Explanation: Unit digit in the given product = unit digit in 1*1*4*4 = 6
Answer is C
Question: P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is Q's share?
A.114
B.120
C.134
D.144
Answer: D.144
Explanation: Explanation :
The ratio of their initial investment = 1/2 : 1/3 : 1/4
= 6 : 4: 3
Let's take the initial investment of P, Q and R as 6x, 4x and 3x respectively
A:B:C = (6x * 2 + 3x * 10) : 4x*12 : 3x*12
= (12+30) : 4*12 : 3*12
=(4+10) : 4*4 : 12
= 14 : 16 : 12
= 7 : 8 : 6
B's share = 378 * (8/21) = 18 * 8 = 144. Answer : Option D
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
A.52 kmph
B.54 kmph
C.60 kmph
D.64 kmph
Answer: B.54 kmph
Explanation: Explanation:
S = 240/16 * 18/5 = 54 kmph
Option B
Question: The sum of 11 consecutive integers is 1111. What is the greatest integer in the set?
A.100
B.102
C.104
D.106
Answer: D.106
Explanation: Let x be the first integer in the set, then x+10 is the largest integer.
The sum is: x+(x+1)+(x+2)+...+(x+10)
= 11x + 10*11/2
= 11(x+5)
Then x+5=101
x=96
The largest integer in the set is 96+10=106
The answer is D.
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother two years younger to her was born. What is the difference between the ages of her parents?
A.2 years
B.4 years
C.6 years
D.7 years
Answer: B.4 years
Explanation: Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 2) years = 40 years.
Required difference = (40 - 36) years = 4 years.
Answer: Option B
Question: A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 10 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?
A.61
B.65
C.75
D.45
Answer: A.61
Explanation: Responding to a pm: To solve this question, I will make an equation in x and then make educated guesses. Here's how:
Assuming x motorcycles were sold every month initially.
(568000/x + 1000)(x-10) = 594000
(568/x + 1)(x-10) = 594
Now 568 = 8*71
Assuming x = 71 (We have all integers so it is obvious that 568/x should be an integer.
We get 9*66 = 594 (matches)
So he will sell 71 - 10 = 61 bikes this month
Answer (A)
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 40 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
A. 16
B. 18
C. 20
D. 24
Answer: D. 24
Explanation: Time taken = Total Distance / Relative Speed
Total Distance = 40 kms
Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4 = 10 kms/hr
Time taken = 40 / 10 = 4 hrs
Distance traveled by Brad = Brad's speed * time taken = 6 * 4 = 24 kms... Answer - D
Question: 15 litres of mixture contains 25% alcohol and the rest water. If 3litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
A.20.83%
B.23%
C.18.3%
D.19.75%
Answer: A.20.83%
Explanation: Alcohol in the 15litres of mix. = 25% of 15litres = (25*15/100) = 3.75litres
water in it = 15-3.75 = 11.25litres
new quantity of mix. = 15+3 = 18 litres
Quantity of alcohol in it = 3.75litres
Percentage of alcohol in new mix. = 3.75*100/18 = 20.83%
Answer is A
Question: In 15 year’s time the combined age of my four brothers will be 107. What will it be in six year’s time?
A.65
B.87
C.71
D.60
Answer: C.71
Explanation: C
71
Combined age in 15 years = 107.
4 × 15 = 60, therefore combined age now is 107 – 60 = 47.
In 6 years time, therefore, combined age will be
47 + 24 (4 × 6) = 71.
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
A.16299
B.1640
C.277
D.298
Answer: B.1640
Explanation: (x*8*3)/100 = ((2665 - x)*3*5)/100
24x/100 = 39975/100 - 15x/100
39x = 39975 => x = 1025
Second sum = 2665 – 1025 = 1640
Answer:B
Question: Aravind had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he
take along with him?
A.2800
B.3000
C.3200
D.3400
Answer: B.3000
Explanation: Let the money he took for shopping be m.
Money he spent = 30 % of m
= 30/100 × m
= 3/10 m
Money left with him = m – 3/10 m = (10m – 3m)/10 = 7m/10
But money left with him = $ 2100
Therefore 7m/10 = $ 2100
m = $ 2100× 10/7
m = $ 21000/7
m = $ 3000
Therefore, the money he took for shopping is $ 3000.
B
Question: If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
A.45%
B.23%
C.20%
D.60%
Answer: C.20%
Explanation: C
C.P. of each article be Re. 1.
Then, C.P. of 50 articles = Rs. 50;
S.P. of 50 articles = Rs. 40.
Loss % = 10/50 * 100 = 20%
Question: The average age of 12 students is 20 years. If the age of one more student is included, the average decreases by 1, what is the age of the new student?
A.5
B.7
C.9
D.11
Answer: B.7
Explanation: Average age of 12 students is 20 years means sum of 12 students age is 240
If the age of one more student is included, the average decreases by 1, means 13 students age is 13*19 =247
Difference between 12 and 13 students is 7.
ANSWER:B
Question: Sahil purchased a machine at Rs 13000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.
A.Rs. 22000
B.Rs. 24500
C.Rs. 26500
D.Rs. 28500
Answer: D.Rs. 28500
Explanation: Explanation:
Question seems a bit tricky, but it is very simple.
Just calculate all Cost price, then get 150% of CP.
C.P. = 13000 + 5000 + 1000 = 19000
150% of 19000 = 150/100 * 19000 = 28500
Option D
Question: A container contains 30 liters of milk. From this container 5 liter of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
A.17.26liter
B.17.39 liter
C.17.36 liter
D.17.32 liter
Answer: C.17.36 liter
Explanation: Explanation:
No explanation is available for this question!
ANSWER:C
Question: Factor: 5x2 – 15x – 20
A.(a) 5(x-4)(x+1)
B.(b) -2(x-4)(x+5)
C.(c) -5(x+4)(x-1)
D.(d) 5(x+4)(x+1)
Answer: A.(a) 5(x-4)(x+1)
Explanation: 5x2 – 15x – 20.
= 5(x2 – 3x – 4).
= 5(x2 – 4x + x – 4).
= 5{x(x - 4) +1(x - 4)}.
= 5(x-4)(x+1).
the answer is (A)
Question: A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour.
A.7/9
B.7/15
C.3/5
D.4/3
Answer: B.7/15
Explanation: let S be the sample space
Then n(S)=no of ways of drawing 2 balls out of (6+4)=10c2=(10*9)/(2*1)=45
Let E=event of getting both balls of same colour
Then n(E)=no of ways(2 balls out of six) or(2 balls out of 4)
=(6c2+4c2)=(6*5)/(2*1)+(4*3)/(2*1)=15+6=21
P(E)=n(E)/n(S)=21/45=7/15
Ans: B
Question: Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
A.111.12
B.111.16
C.111.15
D.111.19
Answer: A.111.12
Explanation: A runs 1000 m while B runs 900 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/900 = 8000/9 = 888.88 m.
B can give C = 1000 - 888.88 = 111.12 m.
Answer: A
Question: The perimeter of a triangle is 20 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
A.28 cm2
B.27 cm2
C.29 cm2
D.25 cm2
Answer: D.25 cm2
Explanation: Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 20/2
= 25 cm2
Answer: D
Question: An advertising agency finds that, of its 210 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?
A.56
B.70
C.90
D.110
Answer: D.110
Explanation: Total=210
Television=115
Radio=110
Magazine=130
All the three =210-115-110-130+85+75+95=110
ANSWER D
Question: How many multiples of 2 are there between 1 and 52, exclusive?
A.21
B.22
C.25
D.26
Answer: C.25
Explanation: 25
multiples of 2 between 1 and 52 exclusive.
from 2 * 1 upto 2*25, (1,2,3,4,...,25). Hence, 25 multiples !
correct option is C
Question: A day-trader plans to invest a total of $23,600 into 15 separate investments. If each investment requires a minimum deposit of $1,400, then which of the following is the maximum amount that she could put into any one investment?
A.$2,800
B.$4,000
C.$3,500
D.$3,800
Answer: B.$4,000
Explanation: We can also just keep track of the HUNDREDS DIGITS(since the hundreds digit is different for each answer choice).
Total of 14 minimized investments = (14)(1400) = $???600
The 15th investment + $???600 = $23,600
So, the HUNDREDS DIGITS of the 15th investment must be 0
Answer: B
Question: The value of x + x(xx) when x = 4 is:
A.A)36
B.B)16
C.C)18
D.D)68
Answer: D.D)68
Explanation: x + x(xx)
Put the value of x = 2 in the above expression we get,
4 + 4(44)
= 4 + 4(4 × 4)
= 4 + 4(16)
= 4 + 64
= 68
D
Question: Jim is able to sell a hand-carved statue for $660 which was a 20% profit over his cost. How much did the statue originally cost him?
A.$496.30
B.$512.40
C.$550
D.$574.90
Answer: C.$550
Explanation: Cost Price = 660/120 * 100 = 550
Answer : C
Question: In what ratio should a variety of rice costing Rs. 5.5 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
A.5/6
B.5/9
C.5/1
D.5/8
Answer: D.5/8
Explanation: Let us say the ratio of the quantities of cheaper and dearer varieties
= x : y
By the rule of allegation, x/y
= (8.75 - 7.50) / (7.50 - 5.5) =5/8
Answer: D
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?
A.299
B.240
C.277
D.255
Answer: B.240
Explanation: 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
Question: If 20% of A is the same as 30% of B, then A : B is :
A.5:4
B.5:3
C.4:3
D.3:2
Answer: D.3:2
Explanation: Expl : 20% of A I= 30 % of B =20A/100 = 30B/100 = 3/2 = 3:2
Answer:D
Question: A certain university will select 1 of 8 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
A.340
B.380
C.472
D.528
Answer: D.528
Explanation: 1C8*2C12 = 8*66 = 528
the answer is (D)
Question: At Peter's firm's annual revenue grows twice as fast as its costs. In 2007 it operated at a $1000 loss, it broke even in 2008, and in 2009 its revenues were 44% higher than in 2007. If the firm's revenues and costs grew at a constant rate over this period, what was its profit in 2009?
A.700
B.1000
C.1300
D.1600
Answer: C.1300
Explanation: At Peter's firm's annual revenue grows twice as fast as its costs.First solve for how much revenue is increasing each year:
R2008= R2007*(1+x)
R2009= R2007*(1+x)^2=1.44*R2007
(1+x)^2 = 1.44
1+x=1.2
x=0.2 aka revenue increases 20% each year and cost increases 10% annually
Next solve for R2007and C2007:
R2007= C2007- 1000
1.2*R2007- 1.1*C2007= 0
1.2*[C2007- 1000] - 1.1*C2007= 0
0.1*C2007= 1,200
C2007= 12,000
R2007= 11,000
Finally find 2009 profits:
Profit2009= 1.44*11,000 - 1.21*12,000
Profit2009= 15,840 - 14,520
Profit2009= 1320
Answer: C
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?
A.60 cm^2
B.30 cm^2
C.20 cm^2
D.40 cm^2
Answer: B.30 cm^2
Explanation: 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
Question: The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
A.20
B.30
C.48
D.58
Answer: B.30
Explanation: Explanation:
Let the three parts be A, B, C. Then,
A : B = 2 : 3 and B : C = 5 : 8 =5*3/5 : 8*3/5 =3: 24/5
A : B : C = 2 : 3 :	24/5=10:15:24
B =	98* 15/49 =30.
Answer IS B
Question: In a simultaneous throw of 2 dice what is the probability of getting a total of 5?
A.1/4
B.1/9
C.2/11
D.3/13
Answer: B.1/9
Explanation: n(S) = 6*6 = 36
E = {(1,4),(2,3),(3,2),(4,1)}
Probability = 4/36 = 1/9
Answer is B
Question: In What proportion must flour at $0.8 per pound be mixed with flour at $0.9 per pound so that the mixture costs $0.835 per pound?
A.1:3
B.1:2
C.1:1
D.2:1
Answer: D.2:1
Explanation: Using weighted average method:
Let x be the proportion in which the $0.8 per pound flour is mixed with $0.9 per pound flour.
Thus 0.8*x + 0.9*(1-x) = 0.835
0.9 – 0.1x = 0.835
x = 0.65
Thus ratio of both flours is 2:1
D
Question: A man took some money for borrowed, for 3 years the total will be Rs.6500 and 5 years it will be Rs.7500/-. Then how much amount he borrowed?
A.s.5000/-
B.s.5500/-
C.s.5770/-
D.s.5800/-
Answer: A.s.5000/-
Explanation: 3 years --------> Rs.6500/-
5 years --------> Rs.7500/-
~ ~
------------------------------
2 years ---------> Rs.1000/-
1 year ----------> Rs.500/-
3years * Rs.500/- = Rs.1500/-
P = Rs.6500/- - Rs.1500/- = Rs.5000/-
P = Rs.5000/-
A
Question: The cost of an item was reduced from its usual selling price of $23.99 to $20.99. Which of the following is closest to the percent decrease in the price of the item?
A.12%
B.21%
C.24%
D.25%
Answer: A.12%
Explanation: The price decreased by 23.99 - 20.99 = $3.
$3 is a bit more than 12% of original price of $24.
Answer: A.
Question: Let y = 2g + x^2 and g = 5x + 1.
If g^2 = 81, then which of the following can be a value of 2y + 3g?
A.52
B.-55
C.141
D.142
Answer: B.-55
Explanation: 800score Official Solution:
First note that g can either be 9 or -9. We are going to have to use both to find all solutions before we can choose a final answer. We begin by substituting g = 9 and then g = -9. If g = 9, then x = 8/5. If g = -9, then x = -2. Since all of our solutions are whole numbers, we can dismiss 8/5. We use g = -9 and x = -2 to determine the value of y: y = 2(-9) + 4 = -14. Finally, we substitute the values for y and g into the last expression to determine its value : 2(-14) + 3(-9) = -28 - 27 = -55;the correct answer is (B).
Question: A certain cube floating in a bucket of water has between 80 and 85 percent of its volume below the surface of the water. If between 8 and 15 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
A.3
B.4
C.7
D.8
Answer: B.4
Explanation: If sides are 7, vol=7^3=343
80%= 274.4, 85%=291.55
so vol above water, between 68.6 and 51.45 -->too big
If side are 4, vol = 64
80%=51.2, 85%=54.4
vol above water between 12.8 and 9.6
So 4 should be the answer.
Check option C,
If sides are 5, vol = 125
80%= 100, .85%=106.25
vol above water between 18.75-25
(Sides are 4 cubic centimeters)
B
Question: How many three digit numbers contain the digit 5 at least once?
A.52
B.128
C.252
D.648
Answer: D.648
Explanation: The question is basically asking how many numbers between 100-999 contain at least one digit as 5.
Let ABC be a 3 digit number A can be filled with 9 digits, B can be filled with 10 digits and C can be filled with 10 digits. (because hundredth digit can only be between 1-9= 9 digits)
Therefore total number of ways we can form 3 digit number=9*10*10=900 ways (100-999)
Number of ways we can form a 3 digit number without the digit 5= 8*9*9= 648 ways
ANSWER:D