RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
A.12880
B.12789
C.27108
D.17600
Answer: D.17600
Explanation: Explanation:
Price at which the TV set is bought = Rs. 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = Rs. 15625
The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000
The price at which the TV should be sold to get a profit of 10% if no discount was offered = 16000 * 110/100 = Rs. 17600
Question: If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is ?
A.1/25
B.1/28
C.1/27
D.1/24
Answer: A.1/25
Explanation: We have 1, 8, 27 and 64 as perfect cubes from 1 to 100.
Thus, the probability of picking a perfect cube is
4/100 = 1/25.
Answer: A
Question: an article with cost price of 192 is sold at 25% profit. what is the selling price?
A.198
B.200
C.204
D.240
Answer: D.240
Explanation: sp=1.25*192=240
ANSWER:D
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
A.4 1/6 %
B.6 1/6 %
C.8 1/3 %
D.20 %
Answer: C.8 1/3 %
Explanation: C.P. of 1 kg = 420/7 = Rs. 6
S.P. of 1 kg = Rs. 6.50
Gain % = 0.50/6 * 100 = 25/3 = 8 1/3 %
ANSWER:C
Question: Anand and Deepak started a business investing Rs. 20,500 and Rs. 30,000 respectively. Out of a total profit of Rs. 13,000, Deepak's share is?
A.Rs. 9400
B.Rs. 8900
C.Rs. 8400
D.Rs. 7722.8
Answer: D.Rs. 7722.8
Explanation: Ratio of their shares = 20500 : 30000 = 41 : 60
Deepak's share = 13000 * 60/101 = Rs. 7722.8
Answer:D
Question: If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
A.7 days
B.3 days
C.9 days
D.8 days
Answer: C.9 days
Explanation: C
9 days
C = 1/4 - 1/12 – 1/18 = 1/9 => 9 days
Question: For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity. If the worker's charitable contributions totaled one-seventh of his earnings for the entire year, what is the value of N?
A.31/4
B.33/4
C.29/4
D.27/4
Answer: B.33/4
Explanation: Let monthly salary for each of the 11 months except December was x, then
11x*1/10 + Nx*1/5 = 1/7(11x + Nx);
11/10 + N/5 = 1/7(11 + N)
11+2N/10 = 11+N/7 =>77+14N = 110+10N =>4N=33
N = 33/4
Answer: B
Question: The number of circles that can be drawn out of 10 points of which 7 are collinear is
A.130
B.85
C.45
D.72
Answer: B.85
Explanation: For drawing a circle we need 3 non collinear points.
This can be done in:
3C3 + 3C2 x 7C1 + 3C1 x 7C2 = 1 + 21 + 63 = 85
ANSWER:B
Question: A number is increased by 11% and then reduced by 10%. After these operations, the number :
A.does not change
B.decreases by 1%
C.increases by 1%
D.increases by 0.1%
Answer: B.decreases by 1%
Explanation: Let the original number be 100.
Then, the new number = 100 × 1.1 × 0.9 = 99
i.e. the number decreases by 1%.
Answer B
Question: Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 7 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If one minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
A.12
B.24
C.36
D.60
Answer: B.24
Explanation: the difference of the speed is 2m per second so in one minute Sacha will be 120 m ahead of Bruno..
Bruno will cover this in 120/5=24 secs..
B
Question: If the simple interest on a certain amount in at 4% rate 5 years amounted to Rs.2160 less than the principal. What was the principal?
A.1500
B.2500
C.2700
D.3200
Answer: C.2700
Explanation: P - 2160 = (P*5*4)/100
P = 2700
Answer: C
Question: 39! is divided by 41. Then what is the remainder for this?
A.1
B.3
C.5
D.6
Answer: A.1
Explanation: Substituting p = 41 in the wilson's theorem, we get
40!+141=0
40×39!+141=0
−1×39!41=−1
Cancelling -1 on both sides,
39!41=1
A
Question: 4x − 12 = 4y
5y + 5x = 15
Which of the following is the number of solutions to the system of equations shown above?
A.More than three
B.Exactly three
C.Exactly two
D.Exactly one
Answer: D.Exactly one
Explanation: 4x − 12 = 4y
=> 4x - 4y = 12
=> x- y =3 -- 1
5y + 5x = 15
=>x + y = 3 -- 2
From equation 1 and 2 , we get
2x = 6
=> x=3
y=0
Therefore , the given system will have Exactly one solution
D
Question: 4840÷8÷4=?
A.151
B.156
C.189
D.134
Answer: A.151
Explanation: 4840 ÷ 8 = 605
605 ÷ 4 = 151
Answer is A
Question: Three workers have a productivity ratio of 1 to 2 to 6. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
A.12 to 1
B.10 to 1
C.5 to 1
D.1 to 6
Answer: B.10 to 1
Explanation: The fastest worker who does 6 units of job worked for all 10 hours, so he did 6*10=60 units of job;
The slowest worker who does 1 unit of job worked for only 4+2=6 hours (first 4 hours and last 2 hours), so he did 1*6=6 units of job;
The ratio thus is 60 to 6, or 10 to 1.
Answer: B
Question: Someone on a skateboard is traveling 5 miles per hour. How many feet does she travel in 45 seconds? (1 mile = 5280 feet)
A.380 ft
B.400 ft
C.410.05 ft
D.329.85 ft
Answer: D.329.85 ft
Explanation: per second => 5*5280 ft/60*60 =7.33 ft
45 seconds => 7.33 * 45 = 329.85 ft
Answer : D
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
A.65 km/hr
B.76 km/hr
C.36 km/hr
D.45 km/hr
Answer: C.36 km/hr
Explanation: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (120 + 120)/12 => x = 10
Speed of each train = 10 m/sec.
= 10 * 18/5 =- 36 km/hr.
Answer:C
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 90 kmph. After how much time will the trains meet?
A.20/8 sec
B.20/4 sec
C.5/2 sec
D.22/7 sec
Answer: C.5/2 sec
Explanation: They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 90)*5/18 = 8*5 = 40 mps.
The time required = d/s = 100/40 = 5/2 sec.Answer:C
Question: A train is running at a speed of 40 km/hr and it crosses a post in 19.8 seconds. What is the length of the train?
A.190 metres
B.160 metres
C.200 metres
D.220 metres
Answer: D.220 metres
Explanation: Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s
Time taken to cross, t = 19.8 s
Distance Covered, d = vt = (400/36)Ã— 19.8 = 220 m
Distance covered is equal to the length of the train = 220 m
Correct answer is 220 metres
D
Question: Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 3.5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
A.14/15
B.15/14
C.4/5
D.6/5
Answer: D.6/5
Explanation: Average Speed of Jack =Distance/ Time
= 42 /(7/2) = 84/7
Average Speed of Jill = 42/(4.2) = 10
Ratio of Average speed of Jack to Jill = (84/7)/10 = 84/70 =6/5
Answer D
Question: Rahim bought 52 books for Rs.1200 from one shop and 32 books for Rs.480 from another. What is the average price he paid per book ?
A.s.17
B.s.18
C.s.12
D.s.20
Answer: D.s.20
Explanation: Average price per book
= (1200+ 480) / (52 + 32) = 1680/ 84
= Rs.20
Answer:D
Question: John walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 8 hours 40 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways.
A.8 h 40 min
B.10 h 40 min
C.9 h 40 min
D.11 h 45 min
Answer: B.10 h 40 min
Explanation: 1.Walking to to a viewpoint+Driving back=8 hours 40 minutes
2.Driving to a viewpoint+Driving back=8 hours 40 minutes - 2 hours=6 hours 40 minutes, thereforeone way driving=6 hours 40 minutes/2 =3 hours 20 minutes.
3. From 1.one way driving=8 hours 40 minutes-3 hours 20 minutes=5 hours 20 minutes.
4.Walking to to a viewpoint+Walking back=5 hours 20 minutes+5 hours 20 minutes=10 hours 40 minutes.
Answer: B
Question: A number, y is chosen at random from the set of positive integers from 1 to 9. What is the probability that (9/y) > y?
A. 2/9
B. 1/9
C. 1/3
D. 2/3
Answer: A. 2/9
Explanation: Number x has to be chosen from numbers 1-9
(9/y) > y
=> 9 > y^2
=>y^2 - 9 < 0
y can have 2 values only 1 , 2
Therefore , probability = 2 / 9
Answer A
Question: Find the area of a parallelogram with base 24 cm and height 10 cm?
A.240 cm2
B.384 cm2
C.279 cm2
D.200 cm2
Answer: A.240 cm2
Explanation: Area of a parallelogram
= base * height
= 24 * 10 = 240 cm2
Answer:A
Question: What is the 21th digit to the right of the decimal point in the decimal expansion of 1/37?
A. 0
B. 2
C. 4
D. 7
Answer: D. 7
Explanation: 1/37=0.027027... So, we have a repeating cycle of 027. Every third digit (3rd, 6th, 9th, ...) to the right of the decimal point is 7, thus 21st digit to the right of the decimal point is also 7.
Answer: D.
Question: Let f(x) = ax2 - b|x|, where a and b are constant. Then at x =0, f(x) is
A.maximized whenever a>0, b>0
B.maximized whenever a>0, b<0
C.minimized whenever a>0, b>0
D.minimized whenever a>0, b<0
Answer: D.minimized whenever a>0, b<0
Explanation: Explanation :
When a > 0, b < 0, ax2 and –b |x| are non negative for all x.
i.e. ax2 – b|x| ≥ 0.
∴ ax2 – b |x| is minimum at x = 0 when a > 0, b < 0.
Answer : D
Question: In a certain game, you perform three tasks. You flip a coin, and success would be heads. You roll a single dice, and success would be a point. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
A.11/16
B.15/32
C.23/48
D.14/36
Answer: C.23/48
Explanation: The answer is C
Probability of just one enent will be happining
So, Probability heads=1/2
Probability number point =1/6
Probability picking a spades card =1/4
so, Probability win by getting tails= 1/2*5/6*3/4 = 15/48
Probability win by getting number 6 = 1/2*1/6*3/4 = 3/48
Probability win by picking a spades card =1/2*5/6*1/4=5/48
Probability wining= 15/48+3/48+5/48 =23/48
Question: In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
A.83.3%
B.12%
C.18%
D.9%
Answer: A.83.3%
Explanation: Explanation:
Percentage of milk in the mixture formed = [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100% = 5/6 * 100% = 83.33%.
Correct Option : A
Question: A man can row a boat at 32 kmph in still water. If the speed of the stream is 8 kmph, what is the time taken to row a distance of 96 km downstream?
A.12/4
B.12/5
C.12/6
D.12/7
Answer: B.12/5
Explanation: Speed downstream = 32+8=40 kmph.
Time required to cover 60 km downstream = d/s = 96/40 = 12/5 hours. Answer:B
Question: If all the sides of a right triangle increase in length by 8%, then by what percentage does the area of the triangle increase?
A.8%
B.16.64%
C.24.32%
D.32.84%
Answer: B.16.64%
Explanation: Let B be the base and H be the height of the original triangle.
The original area is (1/2)BH.
The area of the expanded triangle is (1/2)(1.08B)(1.08H) = (1.08)(1.08)(1/2)BH = 1.1664(1/2)BH
The answer is B.
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
A.45%
B.56%
C.57%
D.70%
Answer: C.57%
Explanation: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
C
Question: A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain is.
A.22
B.21
C.8
D.9
Answer: B.21
Explanation: Answer: B) 21%
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
A.4538
B.2778
C.2608
D.4530
Answer: D.4530
Explanation: Area of the four walls = 2h(l + b)
Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 5 = Rs. 4530
Answer:D
Question: 3500 – (1000 ÷ 20.50) is equal to :
A.3451.21
B.3029.0
C.2993.03
D.2984.36
Answer: A.3451.21
Explanation: Explanation:
Given exp. = 3500 - ((1000 ÷ 2050) * 100)
= 3451.21
ANSWER A
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
A.1 kmph
B.9 kmph
C.6 kmph
D.8 kmph
Answer: A.1 kmph
Explanation: DS = 6
US = 4
S = ?
S = (6 - 4)/2 = 1 kmph
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
A.29%
B.25%
C.11%
D.20%
Answer: B.25%
Explanation: 800 --- 200
100 --- ? => 25%
Answer: B
Question: The banker’s discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :
A.2 months
B.4 months
C.6 months
D.7 months
Answer: B.4 months
Explanation: Sol.
S.I. on Rs. 1600 = R.D. on Rs. 1680.
∴ Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is S.I. on Rs. 1600 at 15%.
∴ Time = [100 * 80 / 1600 * 15] year = 1/3 year = 4 months.
Answer B
Question: Simplfy
b - [b -(a+b) - {b - (b - a+b)} + 3a]
A.-a
B.2a
C.4a
D.0
Answer: A.-a
Explanation: Explanation:
b-[b-(a+b)-{b-(b-a+b)}+3a]
=b-[b-a-b-{b-(2b-a)}+3a]
=b-[-a-{b-2b+a}+3a]
=b-[-a-{-b+a}+3a]
=b-[-a+b-a+3a]
=b-[-2a+b+3a]
=b-b-a
=-a
Option A
Question: If a × b = 2a - 3b + ab, then 3 × 5 + 5 × 3 is equal to :
A.22
B.23
C.24
D.25
Answer: A.22
Explanation: Explanation:
3 × 5 + 5 × 3 = (2 × 3 - 3 × 5 + 3 × 5) + ( 2 × 5 - 3 × 3 + 5 × 3)
= (6 + 10 - 9 + 15) = 22.
Answer: A
Question: If A,BCD is a four-digit positive integer such that A,BCD is equal to the product of the two-digit number AB and the three digit number ABC, which of the following two-digit numbers cannot be a factor of A,BCD? (Note: the first digit of a number cannot be equal to 0.)
I. AD
II. CD
III. CA
A.None
B.II only
C.III only
D.II and III only
Answer: C.III only
Explanation: Ideally, ABC * AB = ABCD should make you think of 1s and 0s. The digits needn't be unique so the first thing that comes to mind is 100*10 = 1000. But since CA and CD are given as two digit numbers, next you should think of 101*10 = 1010 or any such number. This satisfies all conditions so we can analyse using this example.
101 * 10 = 1010
AD = 10 - a factor of 1010
CD = 10 - a factor of 1010
CA = 11 - not a factor of 1010
Now the only thing left to figure is whether it is possible that C1 is a factor of 10C0 for some value of C.
10C0 = 1000 + C0 = 999 + C1
C1 is divisible by C1 but we don't know whether 999 is divisible by C1.
999 = 3^3*37
It has no two digit factor ending in 1 so it will not be divisible by C1.
Answer (C)
Question: If the cost price of 50 articles is equal to the selling price of 45 articles, then the gain or loss percent is?
A.11.11
B.65
C.78
D.33
Answer: A.11.11
Explanation: Given that, cost price of 50 article is equal to selling price of 45 articles.
Let cost price of one article = Rs. 1
Selling price of 45 articles = Rs. 50
But Cost price of 45 articles = Rs. 45
Therefore, the trader made profit.\Percentage of profit = 5/45 * 100 = 11.11%
Answer:A
Question: The mass of the sun is approximately 2 × 10^20 kg and the mass of the moon is approximately 8 × 10^12 kg. The mass of the sun is approximately how many times the mass of the moon?
A.4.0 × 10^(−18)
B.2.5 × 10^17
C.2.5 × 10^7
D.2.5 × 10^19
Answer: C.2.5 × 10^7
Explanation: Mass of sun = x * Mass of moon
x = Mass of sun / Mass of moon = (2 × 10^20) / (8 × 10^12) = 2*2^-3*10^8 = 10^8/4 = 2.5*10^7
Ans. C) 2.5 × 10^7
Question: If seven machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job?
A.45
B.60
C.75
D.84
Answer: D.84
Explanation: using the std formula
m1d1h1/w1=m2d2h2/w2
substituting the values we have
7*1/2*4/3=2*5/3*x (converted 30 min into hours =1/2)
14/3=10/3*x
x=7/5 hour
so 84 minutes
ANSWER:D
Question: 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 160kg then find the average weight of all the 7 rounds?
A.91.4 kgs
B.88.5 kgs
C.86.5 kgs
D.67.5 kgs
Answer: A.91.4 kgs
Explanation: Average weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 160/7 = 91.4kgs
Answer:A
Question: The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
A.1: 5
B.1: 6
C.1: 9
D.1: 3
Answer: C.1: 9
Explanation: r1: r2 = 1: 3
Πr12: Πr22
r12: r22 = 1: 9
Answer: C
Question: The average monthly income of P and Q is Rs. 5100. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is?
A.A)Rs.4050
B.B)Rs.4000
C.C)Rs.4029
D.D)Rs.4027
Answer: A.A)Rs.4050
Explanation: Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (5050 * 2) = 10200 --- (i)
Q + R = (6250 * 2) = 12500 --- (ii)
P + R = (5200 * 2) = 10400 --- (iii)
Adding (i), (ii) and (iii), we get:
2(P + Q + R) = 33100 = P + Q + R = 16550 --- (iv)
Subtracting (ii) from (iv), we get, P = 4050.
P's monthly income = Rs.4050.
Answer: A
Question: The total weight of nine nougat nuggets is 7 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
A.0.18 oz.
B.0.5 oz.
C.1.8 oz.
D.0.77 oz.
Answer: D.0.77 oz.
Explanation: Average = Total/Number of items
= 7/9 = 0.77.
Hence, D
Question: If t>0, which of the following must be true?
A.1 < t
B.0 < t < 2
C.-1 < t < 1
D.-10 < t
Answer: D.-10 < t
Explanation: All we know is that t is some positive number. Right away we can see that D must be true: if t is positive then it MUST be true that it's greater than -10. Still let's check each option.
A. 1 < t. We don't know whether the number is greater than 1, it could be a positive number less than or equal to 1. Discard.
B. 0 < t < 2. The same here: we don't know whether the number is less than 2, it could be more than or equal to 2. Discard.
C. -1 < t < 1. The same as A. Discard.
E. 1/100 < t. We don't know whether the number is greater than 1/100, it could be a positive number less than or equal to 1/100. Discard.
Answer: D.
Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 4. If X invested Rs.40,000. the amount invested by Y is
A.Rs.45,000
B.Rs.50,000
C.Rs.60,000
D.Rs.80,000
Answer: D.Rs.80,000
Explanation: Solution
Suppose Y invested Rs.y
Then,	40000 /y = 2 / 4
â€¹=â€º y=(40000Ã—4 / 2).
â€¹=â€º y=80000.
Answer D
Question: In an office, totally there are 800 employees and 25% of the total employees are males. 40% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?
A.120
B.160
C.132
D.130
Answer: A.120
Explanation: Number of male employees = 800 * 25/100 = 200
Required number of male employees who are less than 50 years old = 200* (100 - 40)%
= 200* 60/100 = 120.
ANSWER:A
Question: A man in a train travelling at 20km/hr notices that a train going in the opposite direction passes him in 5 sec.If the length of this train is 140m find its speed .
A.30 km/hr
B.40 km/hr
C.81 km/hr
D.60 km/hr
Answer: C.81 km/hr
Explanation: relative speed of trains = 140/5 mtrs/sec = 140*18/(5*5)= 101 km/hr
speed of 2nd train = 101-20=81 km/hr
ANSWER:C
Question: If 1 + x^4 + x^3 + x^2 + x = 80, then the average (arithmetic mean)W of x, x^2, x^3, x^4 and x^5 is equal to which of the following?
A.12x
B.13x
C.14x
D.16x
Answer: D.16x
Explanation: 1 + x^4 + x^3 + x^2 + x = 81
i.e. 1 +x+ x^2+ x^3+ x^4 = 81
x+ x^2+ x^3+ x^4 = 80
x(1 +x+ x^2+ x^3) = 80
x(81-x^4) = 80
81x - x^5 = 80
x^5 = 81x -80
Now x+ x^2+ x^3+ x^4+ x^5 = 80 + 81x -80 = 81x
Average of W{x, x^2, x^3, x^4, x^5} = 81x/5 ~ 16x
AnswerD
Question: A man took loan from a bank at the rate of 4 % p.a. S.I. After 10 years he had to pay Rs. 2000 interest only for the period. The principal amount borrowed by him was?
A.5000
B.4500
C.3200
D.6000
Answer: A.5000
Explanation: Principal = (100 * 2000) / (4 * 10)
= Rs.5000
Answer: A
Question: A man can row a distance of 6 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 20 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
A.2
B.8
C.1
D.6:41
Answer: D.6:41
Explanation: Explanation:
He covered 6 km in 1 hour , so he might cover 20 km in 3 hours 19 minutes.
But he took 10 hours.
He would have saved 10 â€“ 3 hours 19 minutes= 6 hours 41 minutes.
Answer: D
Question: A salesman’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. 600 more than that by the previous schema, his sales were worth?
A.12002
B.12000
C.12028
D.12020
Answer: B.12000
Explanation: [1000 + (X-4000) * (2.5/100)] - X * (5/100)
= 600
X = 12000
Answer: B
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A.109.12 m.
B.104.12 m.
C.111.12 m.
D.211.12 m.
Answer: C.111.12 m.
Explanation: C
111.12 m.
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.
Question: List Z consists of 12 consecutive integers. If -4 is the least integer in list Z, what is the range of positive integers in list Z?
A.5
B.6
C.7
D.11
Answer: B.6
Explanation: Since -4 is the least integer in list Z, then 7 is the largest integer in that list. Thus the range of the positive integers in the list is 7-1=6.
Answer: B.
Question: An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 40 miles per hour, then 50 miles per hour, then 60 miles per hour. If the test took 111 hours to complete, how many miles was the car driven during the entire test?
A.5100
B.5400
C.5500
D.5600
Answer: B.5400
Explanation: x is the segment to be traveled
x/40+x/50+x/60 =111
or 74x/1200 =111
x = 1800miles . total distance =3*1800 = 5400 miles
B
Question: The y intercept of a line L is 8. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6
A.I only
B.II only
C.III only
D.I and II
Answer: C.III only
Explanation: C) III only
The y-intercept is 8. Therefore we have y=mx+8
It is given that the slope is negative. Therefore the line must go from top left to bottom right.
i.e: the x-intercept has to be positive. That itself rules out III.
If you choose to go with the options directly, here's an approach.
y=mx+8. For the x-intercept, y=0.
i.e. mx+8=0.
We know that the slope m is negative. Therefore, if x=-1 or x=0, the equation mx+8 =0 would never be satisfied.
If x=6, we have 6m+8=0. A value of m=-4/3 would satisfy this equation.(ANSWER C)
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets into it. The mass of the man is ?
A.77 kg
B.60 kg
C.77 kg
D.55 kg
Answer: B.60 kg
Explanation: In this type of question, first we will calculate the volume of water displaces then will multiply with the density of water.
Volume of water displaced = 3*2*0.01 = 0.06 m cube
Mass of Man = Volume of water displaced * Density of water
= 0.06 * 1000 = 60 kg
Answer: B