RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 5
II. 1
III. -4
A.I only
B.II only
C.I and II only
D.II and III only
Answer: C.I and II only
Explanation: The question is which of the following must be in the set, not could be in the set.
If -1 is in the set so must be -1+2=1, as 1 is in the set so must be 1+2=3, as 3 is in the set so must be 3+2=5 and so on. So basically knowing that -1 is in the set we can say that ALL odd numbers more than -1 are also in the set.
Answer: C.
Question: A tap can fill a tank in 12 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
A.5 hr 30 mins
B.7 hr 30 mins
C.4hr 30 mins
D.2 hr 30 mins
Answer: B.7 hr 30 mins
Explanation: Explanation:
A tap can fill a tank in 12 hours.
Therefore the tap can fill half the tank in 6 hours.
One tap take time to fill half of the tank = 6 hrs
4 taps take time to fill half of the tank = 6/4 hrs = 1 hr 30 mins
Total time taken to fill the tank = 6 hr+1 hr 30 min = 7 hr 30 mins
Answer : B
Question: The radius of a cylindrical vessel is 7cm and height is 5cm. Find the whole surface of the cylinder?
A.308 sq cm
B.528 sq cm
C.440 sq cm
D.132 sq cm
Answer: B.528 sq cm
Explanation: r = 7 h = 5
2πr(h + r) = 2 * 22/7 * 7(12) = 528
ANSWER:B
Question: By selling 300 apples a seller gains the selling price of 60 apples. The gain percent of the seller is
A.22
B.88
C.25
D.27
Answer: C.25
Explanation: Explanation:
We know that SP − CP = Profit
⇒300SP - 300CP = 60SP
⇒240SP = 300CP
⇒ SPCP=300240SPCP=300240 = 5454
Let SP = 5, and CP = 4
So profit percentage = 14×100=25%
Answer: C
Question: There are 4 people of different heights standing in order of increasing height. The difference is 2 inches between the first person and the second person, and also between the second person and the third person. The difference between the third person and the fourth person is 6 inches and the average height is 76. How tall is the fourth person?
A.76
B.78
C.80
D.82
Answer: D.82
Explanation: Let x be the height of the first person.
Then the heights are x, x+2, x+4, and x+10.
4x+16 = 4(76) = 304
x = 72 and the fourth person has a height of 72+10 = 82 inches
The answer is D.
Question: A man started his journey from Lucknow to Kolkata, which is 200 km, at the speed of 40 kmph then he went to Banglore which is 300 km, at the speed of 20 kmph. Further he went to Ahmedabad which is 500 km, at the speed of 10 kmph. The average speed of the man is :
A.14(2/7) kmph
B.14(5/7) Kmph
C.15.6 kmph
D.16.1 kmph
Answer: A.14(2/7) kmph
Explanation: Solution: Average speed,
= (Total distance /Total time)
= [(200+300+500)/{(200/40)+(300/20)+(500/10)}]
= 1000/70
= 14(2/7) kmph.
Answer: Option A
Question: Sixteen telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of three members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?
A.120
B.126
C.252
D.560
Answer: D.560
Explanation: My ans is 16C3 = 560
D
Question: Three medical experts, working together at the same constant rate, can write an anatomy textbook in 32 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 24 days?
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: Each expert can write 1/96 of the book per day.
To complete the book in 24 days, we need 96/24 = 4 experts, thus 1 more expert is needed.
The answer is A.
Question: [(7/2 ÷ 1/2 × 7/2)]/[(7/2 × 1/2 ÷ 7/2)] = ?
A.45
B.49
C.44
D.43
Answer: B.49
Explanation: Explanation:
[(7/2 ÷ 1/2 × 7/2)]/[(7/2 × 1/2 ÷ 7/2)]
= [7/2 × 2/1 × 7/2]/[7/2 × 1/2 × 2/7]
= 49/2 / 1/2 = 49/2 x 2/1 = 49
Answer: Option B
Question: How much water must be added to 60 litres of milk at 1.5 litres for Rs. 20 So as to have a mixture worth Rs.32/3 a litre?
A.10 litres
B.12 litres
C.15 litres
D.18 litres
Answer: C.15 litres
Explanation: C.P. of 1 litre of milk = Rs. 20×2/3 = Rs. 40/3.
C.P. of 1 litre of water =Rs 0.
Mean price = Rs. 32/3.
By the rule of alligation, we have :
C.P of 1 litre C.P of 1 litre
of water of milk
(0) (Rs. 40/3)
\ /
Mean Price
(Rs. 32/3)
/ \
40/3−32/3 32/(3−0)
8/3 32/3
The ratio of water and milk =8/3:32/3.
=8:32=1:4.
Thus, Quantity of water to be added to 60 litres of milk:
=(1/4)×60 litres.
=15 litres. ANSWER : C
Question: Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship?
? : 4623 :: 9 : 647
A.17
B.18
C.13
D.10
Answer: A.17
Explanation: A
17
The relationship holds for below formula :
pow(x,3) - pow(x,2) - 1
=> 9*9*9 - 9*9 - 1
=> 729 - 81 - 1
=> 647
Similarly,
17*17*17 - 17*17 - 1
=> 4913 - 289 - 1
=> 4623
Question: Find the annual dividend received by Nishita from 1200 preferred shares and 3000 common shares both of par value Rs. 50 each if the dividend paid on preferred shares is 10% and semi-annual dividend of 3½ % is declared on common shares.
A.16000
B.16500
C.17000
D.17500
Answer: B.16500
Explanation: Total number of preferred shares = 1200
Face value = Rs.50
dividend paid on preferred shares is 10%
Dividend per share = 50×10/100 = Rs.5
Total Dividend = 1200 × 5 = 6000
Total number of common shares = 3000
Face value = Rs.50
Semi-annual dividend of 3½ % is declared on common shares.
semi-annual dividend per share = 50×7/2×100 = Rs.74
Total semi-annual dividend = 7/4×3000 = Rs.5250
annual dividend = Rs.5250 × 2 = Rs.10500
Total dividend on all all shares(preferred and common) = 6000 + 10500 = Rs.16500
Answer is B.
Question: If n is not equal to zero, and n+1/n = 10, then what is the value of n^4 + (1/n)^4?
A.9598
B.9600
C.9602
D.9604
Answer: C.9602
Explanation: n + 1/n=10
we square both sides so we have n^2 + 1/n^2 +2 = 100
or n^2 + 1/n^2= 98
squaring again we have n^4 + 1/n^4 + 2 = 9604
or n^4 + 1/n^4 = 9602
answer =9602 (C)
Question: A person saved $10 in buying an item on sale. If he spent $500 for the item, approximately how much percent he saved in the transaction?
A.8%
B.10%
C.2%
D.5%
Answer: C.2%
Explanation: Actual price = 500+10 = $510
Saving = 10/510 * 100 = 100/51 = 2% approximately
Answer is C
Question: How many figures are required to number the pages the pages of a book containing 2200 pages?
A.7593
B.6693
C.7693
D.7793
Answer: C.7693
Explanation: 1 to 9 = 9 * 1 = 9
10 to 99 = 90 * 2 = 180
100 to 999 = 900 * 3 = 2700
1000 to 2200 = 1201 * 4 = 4804
-----------
7693
ANSWER:C
Question: If g(x) = ax^5 + bx^3 + 4, and g(5) = 10, then g(–5) =?
A. – 10
B. – 2
C. – 6
D. 0
Answer: B. – 2
Explanation: g(5) = 10
or, 5^5 a + 5^3 b + 4 = 10
or, 5^5 a + 5^3 b = 6
g(-5) = -5^5 a - 5^3 b + 4 = - (5^5 a + 5^3 b) + 4 = - 6 + 4 = - 2 = (B)
Question: A salesmanâ€™s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 750 more than that by the previous schema, his sales were worth?
A.s. 4,000
B.s. 6,000
C.s. 30,000
D.s. 40,000
Answer: B.s. 6,000
Explanation: [1000 + (X-4000) * (2.5/100)] - X * (5/100) = 750
X = 6000
ANSWER:B
Question: How much interest can a person get on Rs. 5000 at 18% p.a. simple interest for a period of three years and six months?
A.3150
B.3151
C.3152
D.3153
Answer: A.3150
Explanation: I = (5000 * 3.5 * 18)/100
= (5000 * 7 * 18)/(100 * 2)
= Rs. 3150
Answer: A
Question: The average age of a group of persons going for picnic is years. Fifteen new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is
A.5
B.10
C.15
D.40
Answer: C.15
Explanation: Solution
Let the initial number of persons be x. Then
16x + 15 x 15 = 15.5(x+20)
= 0.5x = 7.5
x = 15.
Answer C
Question: If a farmer sells 20 of his chickens, his stock of feed will last for 3 more days than planned, but if he buys 15 more chickens, he will run out of feed 4 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?
A.40
B.60
C.80
D.90
Answer: B.60
Explanation: Let x = total feed required for the planned period
n= number of chicken
t = total time of the planned feed
x = nt
1) x = (n-15) * (t+4)
2) x = (n+20) * (t-3)
equating 1&2
(n-15) * (t+4) = (n+20) * (t-3)
7n = 35t
n =5t
x= n * n/5
substituting this value in 1
n * n/5 = (n-15) * (n/5+4)
5n = 300
n =60
B
Question: A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, and four rupees on third day and so on. How much will the boy get if he started working on the 1st of February and finishes on the 20th of February?
A.220
B.(2)20-1
C.(2)19-1
D.(2)19
Answer: B.(2)20-1
Explanation: Solution: 1st term = 1;
Common ratio = 2;
Sum (Sn) = a*(rn-1)/(r-1) = 1*(220-1)/(2-1)
= (2)20-1.
Answer: Option B
Question: If BEAT is coded as 4657 and NOT is coded as 328. How is NOTE coded?
A.3628
B.2386
C.3826
D.3286
Answer: D.3286
Explanation: n-3 o-2 t-8 from the code NOT
e - 6 from BEAT
ANSWER:D
Question: If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling ten books ?
A.23267
B.2677
C.1800
D.2250
Answer: D.2250
Explanation: Explanation:
Least Cost Price = Rs. (200 * 10) = Rs. 2000.
Greatest Selling Price = Rs. (425 * 10) = Rs. 4250.
Required profit = Rs. (4250 - 2000) = Rs. 2250.
Answer: D) 2250
Question: a man spends $2.6 for parking and $34.4 for petrol to travel in car from monday to friday.if he travel by public transport it costs $1.06,find the percentage of savings?
A.75.6
B.85.6
C.85.7
D.95.7
Answer: B.85.6
Explanation: 2.6+34.4=37
for 5 days 1.06*5=5.3
37-5.3=31.7
now the required saving percentage is (31.7/37)*100=85.6
ANSWER:B
Question: A password for a computer uses three digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
A.1/32
B.1/16
C.1/8
D.2/5
Answer: C.1/8
Explanation: To calculate all the possibilities, there are 10 choices for each digit. The number of possibilities for five digits is 10 × 10 × 10 = 1,000 possible combinations.
Prime numbers constitute 2, 3 In addition to zero, this is 3 total possibility for each digit. So the number of satisfactory variants is 3× 3 × 3 . So the probability is 1/2 × 1/2 × 1/2 = 1/8.
The right answer is choice (C).
Question: According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 20 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
A.15
B.34
C.50
D.67
Answer: A.15
Explanation: Orange juice concentrate: water::1:3
total quantity of orange juice = 200*6 = 1200 oz
so Orange juice concentrate: water :: 300 oz:900 oz
no. of 20 oz can = 300 oz/20 oz = 15
Answer A, 15 cans
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
A.150
B.992
C.277
D.287
Answer: A.150
Explanation: (60/100) * X – 40 = 50
6X = 900
X = 150
Answer: A
Question: The average salaryper head of all the workers in a workshop is Rs.850, if the average salary/head of 7technician is Rs.1000 and the average salary/head of the rest is Rs.780, the totalno.of workers in the work-shop is ?
A.18
B.20
C.22
D.25
Answer: C.22
Explanation: Let the total number of workers be y.
So sum of salary for all workers = sum of salary of 7 technician + sum of salary for other y -7 workers.
7 x 1000 + 780(y -7) = 850 y
⇒ 7000 + 780y - 5460 = 850y
⇒ 70y = 1540
∴ y = 22
So total number of workers = 22
C
Question: It will take 18 days for Cameron to complete a certain task alone. He worked for 9 days before she was joined by Sandra. both of them completed the remaining task in 3 and half days. how many days will it take both of them to complete the entire job?
A.6
B.7
C.5
D.8
Answer: B.7
Explanation: Explanation:
Cameron and Sandra completed half work in 3.5 days
=> they can complete whole work in 7 days
Answer: Option B
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 4 seconds. What is the length of the fast train?
A.23 m
B.22 (2/9)m
C.27 (7/9)m
D.29 m
Answer: B.22 (2/9)m
Explanation: Relative speed = (40 - 20) km/hr =	(20 x(5/18))m/sec =	(50/9)m/sec.
Therefore Length of faster train =	((50/9)	x 4) m =	(200/9)m = 22	(2/9)	m.
B
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
A.329
B.2698
C.175
D.212
Answer: C.175
Explanation: RS = 40 – 22 = 18 * 5/18 = 5 mps
T = 60 sec
D = 5 * 60 = 300 m
125
--------
175 m.Answer: C
Question: A man sells an article at a gain 15%. If he had bought it at 10% less and sold it for 4 less, he would have gained 25%. Find the cost price of the article.
A.150
B.160
C.170
D.180
Answer: B.160
Explanation: Let the C.P. be 100
First S.P. = 115
Second C.P. = 90
Second S.P = 125% of 90 = 112.50
Difference of two selling prices is 115 – 112.50 = 2.50 and C.P. of the article is 100
But actual difference is 4.
∴ C.P. = 100⁄2.50 × 4 = 160.
Answer B
Question: The dividend is 126, the quotient is 3 and the remainder is 2.
What is the divisor?
A.30
B.35
C.40
D.45
Answer: C.40
Explanation: D = d * Q + R
126 = d * 3 + 2
126/3 = d + 2
42 = d + 2
42-2 = d
40 = d
Answer: C
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43, x
A.29
B.31
C.23
D.46
Answer: D.46
Explanation: (D)
The pattern is + 3, + 5, + 3, + 5, …………
So the missing term is = 43 + 3 = 46.
Question: Stacy and Heather are 10 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 1 mile per hour fast than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Stacy, how far from the original destination has Heather walked when the two meet?.
A.6.0 mile
B.3.0 mile
C.4.0 mile
D.3.45 mile
Answer: D.3.45 mile
Explanation: Ss - Stacy's speed = 6m/hr
Sh - Heather's speed = 5m/hr
In 24 minutes Stacy will cover = (24/60)*6 = 2.4miles
Now since both are walking in opposite directions, add their speeds - 6+5 =11m/hr and distance to cover is 10 -2.4 = 7.6
Time taken = Distance/ Speed = 7.6/11 = 0.69 hrs
Heather will cover = 5*0.69 = 3.45 miles.
Answer D
Question: If Scott has earned 364 dollars by working 4 hrs/day a week at a constant daily rate for 1 weeks, which of the following represents his daily wage?
A.15
B.14
C.13
D.12
Answer: C.13
Explanation: Scott total earning = 364
No days he worked = 4 * 7 = 28
Rate = 1 week
Daily wage = total / (Rate * days)
= 364/(4*7*1)
= 13
C is correct answer...
Question: In a group of 5 boys and 3 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
A.60
B.50
C.80
D.30
Answer: C.80
Explanation: Required number of ways = 5C1*3C3 + 5C2*3C2 + 5C3*3C1 + 5C4
= 15+30+30+5
= 80
Answer is C
Question: By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at
A.46
B.96
C.35
D.87
Answer: B.96
Explanation: To earn Rs. 135, investment
= Rs. 1620.
To earn Rs. 8, investment
= Rs. 96.
Market value of Rs. 100 stock
= Rs. 96.
Answer: B
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A.150
B.277
C.272
D.278
Answer: A.150
Explanation: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: A
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
A.289 cm
B.800 cm
C.829 cm
D.288 cm
Answer: B.800 cm
Explanation: Area of the square = s * s
= 5(125 * 64)
=> s = 25 * 8
= 200 cm
Perimeter of the square
= 4 * 200
= 800 cm.
Answer: B
Question: In how many ways can 7 identical beads be stung into a ring?
A.7!
B.5!
C.6!
D.6!/2
Answer: D.6!/2
Explanation: since the arrangement is either clockwise or anticlockwise, we have 6!/2 ways. Ans:( D )
Question: The probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is?
A.1/2
B.3/4
C.3/7
D.4/5
Answer: B.3/4
Explanation: Sol. First, we find the probability of not solving the problem x PTO x = (1 — D x - D x - D
1 2 3 1 =iXiX71=4;
1 3 Required probability 3/4
B
Question: In a department store prize box, 40% of the notes give the winner a dreamy vacation; the other notes are blank. What is the approximate probability that 3 out of 5 people that draw the notes one after the other, and immediately return their note into the box get a dreamy vacation?
A.0.12
B.0.23
C.0.35
D.0.45
Answer: B.0.23
Explanation: The probability of winning is 40% = 40/100 = 2/5.
The probability of NOT winning is 60% = 3/5.
P(WWWNN)=5!3!2!∗(25)3∗(35)2=144625≈23P(WWWNN)=5!3!2!∗(25)3∗(35)2=144625≈23 (we multiply by 5!3!2!5!3!2!, because WWWNN scenario can occur in several ways: WWWNN, WWNWN, WNWWN, NWWWN, ... the # of such cases basically equals to the # of permutations of 5 letters WWWNN, which is 5!3!2!5!3!2!).
Answer: B.
Question: A is 7/2 times as fast as B. If A gives B a start of 80 m, how long should the race course be so that both of them reach at the same time?
A.140 metre
B.180 metre
C.190 metre
D.240 metre
Answer: A.140 metre
Explanation: Speed of A : Speed of B = 7⁄3 : 1 = 7 : 3
It means, in a race of 7 m, A gains (7-3)=4 metre
If A needs to gain 80 metre, race should be of 7/4×80 = 140 metre
Answer is A
Question: If x represents the sum of the interior angles of a triangle and y represents the sum of the interior angles of a regular pentagon, then the addition x and y is equal to the sum of the interior angles of what geometric shape?
A.Hexagon
B.Square
C.Rhombus
D.Trapezoid
Answer: A.Hexagon
Explanation: Sum of angles of Triangle= 180*(3-2) = 180 => using formula sum of angles of polygon = 180*(n-2) where n is the number of sides in a polygon
Sum of angles in Pentagon = 180*(5-2) =540
Difference = 180 +540 = 720 => Hexagon
hence (A).
Question: A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord W, in feet?
A.30
B.25
C.15
D.10
Answer: D.10
Explanation: Because the cord was extended to its full length at all items, the dog ran along a semi-circular path, from north to south.
The circumference of a full circle is 2*pi*r, but since we only care about the length of half the circle, the semi-circle path is pi*r.
W=pi*r = 30. Round pi = 3, then r = 10.
Chord is about 10 feet long.D
Question: There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle?
A.1:2
B.2:3
C.2:1
D.1:4
Answer: A.1:2
Explanation: For simplicity consider side of the square as 1. Now radius of inner circle =1/2. Formula for diagonal of the square = side*sqrt(2) = 1*sqrt(2). Half the diagonal = (1/2)*sqrt(2) = 1/sqrt(2). We got radiuses of both circles. So calculate areas and find ratio. Inner circle area= pi*(1/2)^2 and Outer circle = pi*(1/sqrt(2))^2. Divide both, you will get ratio as 1:2
ANSWER:A
Question: In how many ways a hockey team of eleven can be elected from 16 players?
A.4368
B.4267
C.5368
D.4166
Answer: A.4368
Explanation: Solution
The required number of selections
= 3C1 × 4C1 × 2C1 (6C3 + 6C2 + 6C0) = 42 × 4!
Answer A
Question: The average age of an adult class is 40 years. 2 new students with an avg age of 32 years join the class. Therefore decreasing the average by 4 year. Find what was the original strength of class?
A.10
B.12
C.16
D.2
Answer: D.2
Explanation: Let original strength = y
Then , 40y + 2 x 32 = ( y + 2) x 36
â‡’ 40y + 64 = 36y + 72
â‡’ 4y = 8
âˆ´ y = 2
D
Question: A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 8 km per hour and the level part at the rate of 12 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the route in order to average 12 km per hour for the entire route?
A.16
B.20
C.24
D.28
Answer: C.24
Explanation: Let V be the speed on the downhill section.
Let D be the distance of each of the three equal sections.
Total time T = T1+T2+T3 and 3D/T = 12 km/hour
3D / (D/8 + D/12 + D/V) = 12
1/4 = 1/8 + 1/12 + 1/V
1/V = 1/24 and so V = 24 km/h
The answer is C.
Question: The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner ?
A.15
B.29
C.61
D.72
Answer: B.29
Explanation: Explanation:
Clearly, every member except one (i.e. the winner) must lose one game to decide the winner. Thus, minimum number of matches to be played = 30 - 1 = 29.
Answer: B
Question: If M is the mean of x,y,z ; then what is the mean of x,z and y
A.M
B.3M
C.10M
D.M+10
Answer: A.M
Explanation: order only changed
So new mean is M.
Answer (A)
Question: A boy incurs 5% loss by selling a book for Rs. 1000. At what price should the book be sold to earn 5 % profit?
A.1105.26
B.1105.29
C.1105.22
D.11105.21
Answer: A.1105.26
Explanation: Explanation:
Let the new selling price be Rs. x
(100 – loss %) /1000 = (100 + gain %) / x
(100 – 5) / 1000 = (100 + 5) / x
x = (105 × 1000) / 95 = 105000 / 95
x = 1105.26.\
ANSWER: A
Question: Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 14 ounces of chocolate. How many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?
A. 3
B. 6
C. 7.2
D. 5
Answer: D. 5
Explanation: Answer is D.
x/x+36=1/5
x=9
14-9=5
Question: Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed musthe travel to reach A at 1 PM?
A.40 km
B.45 km
C.60 km
D.65 km
Answer: C.60 km
Explanation: Let the distance travelled by x km.
Then, x - x = 2
10 15
3x - 2x = 60
x = 60 km.
Time taken to travel 60 km at 10 km/hr = 60 hrs = 6 hrs.
10
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Required speed = 60 kmph. = 12 kmph.
5
C
Question: If $30,000 interest is invested in x percent simple annual interest for 10 years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
A.5000 x
B.7000 x
C.6000 x
D.3000 x
Answer: D.3000 x
Explanation: 30000*x/100*10 = 3000 x
Answer : D
Question: A driver took a trip consisting of three segments at three different speeds. The driver drove a distance of (3D) at a speed of (2V), then a distance of (4D) at a speed of (3V), then a distance of D at a speed of (6V). In terms of D and V, what was the total time of the trip?
A.3D/V
B.4D/V
C.5D/V
D.6D/V
Answer: A.3D/V
Explanation: The total time of the trip was:
3D/2V + 4D/3V + D/6V =
18D/12V + 16D/12V + 2D/12V =
36D/12V = 3D/V
The answer is A.
Question: Qames can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
A.40 minutes.
B.1 hour and 30 minutes.
C.1 hour.
D.1 hour and 40 minutes.
Answer: C.1 hour.
Explanation: Rate =Output/Time
Qames Rate=25/20=5/4
Dylan Rate=25/60=5/12
Combined rate = 5/4+5/12= 20/12
CombinedRate*CombinedTime= CombinedOutput
20/12*t=150
t=90 mins => 1 hr 30 min
Question: A person incurs loss for by selling a watch for Rs1140.at what price should the watch be sold to earn a 5% profit ?
A.1205
B.1260
C.1300
D.1340
Answer: B.1260
Explanation: let the new sp be Rsx.then
(100-loss%) : (1st sp)=(100+gain%) (2nd sp)
{(100-5)/1400}={(100+5)/x}=> x={(105*1140)/95} =1260.
ANSWER B