RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A rectangular courtyard 3.78 m lang and 5.25 m broad is to be paved exactly with square tiles, all of the same size. The minimum number of such tiles is:
A.425
B.430
C.440
D.450
Answer: D.450
Explanation: l = 378 Cm and b = 525 Cm
Maximum length of a square tile
= HCF of (378,525) = 21 Cm
Number of tiles = (378×525)/(21×21) = (18×25) = 450
Answer is D.
Question: Each of the three people individually can complete a certain job in 3, 4, and 6 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
A.1/3
B.9/20
C.8/15
D.5/12
Answer: D.5/12
Explanation: The two slowest people work at rates of 1/4 and 1/6 of the job per hour.
The sum of these rates is 1/4 + 1/6 = 5/12 of the job per hour.
The answer is D.
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 210. The amount of the bill is
A.1200
B.1960
C.1600
D.1354
Answer: B.1960
Explanation: Explanation:
Let P.W. be Rs.x.
Then, S.I. on Rs. x at 16% for 9 months = Rs. 210.
x Ã— 16 Ã— (9/12) Ã— (1/100) = 210 or x = 1750
P.W. = Rs. 1750
Sum due = P.W. + T.D. = Rs.(1750
210) = Rs. 1960.
Answer: B
Question: A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.
A.6:10:5
B.5:10:6
C.10:5:6
D.10:6:5
Answer: A.6:10:5
Explanation: Initial investment capital ratio of A and B = 3 : 5
Let initial capital of A and B be 3x and 5x respectively.
Amount that C invested after 6 months =5x (since it is equal to B's investment)
Ratio in which profit should be distributed after 1 year
=3x×12:5x×12:5x×6
=3×12:5×12:5×6
=3×2:5×2:5
=6:10:5
Answer is A.
Question: A bullet train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the bullet train must run to reduce the time of journey to 40min will be.
A.80 kmph
B.40 kmph
C.60 kmph
D.90 kmph
Answer: C.60 kmph
Explanation: C
60 kmph
Time=50/60 hr=5/6hr
Speed=48mph
distance=S*T=48*5/6=40km
time=40/60hr=2/3hr
New speed = 40* 3/2 kmph= 60kmph
Question: Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 9. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?
A.(4m-27)/[m(m-3)]
B.(4m-27)/[m(m-6)]
C.(4m-27)/[m(m-9)]
D.(4m-27)/[m(m-8)]
Answer: C.(4m-27)/[m(m-9)]
Explanation: Three of the sandwiches were evenly divided among the students
i.e. Amount of Sandwiches with each students = 3/m
Amount of 4th Sandwich with remaining (m-9) students = 1/(m-9)
The amount of Sandwich that carol ate = 3/m + 1/(m-9) = (3m-27+m)/[m(m-9)] = (4m-27)/[m(m-9)]
Answer: C
Question: If a light flashes every 6 seconds, how many times will it flash in 1/4 of an hour?
A.51
B.151
C.251
D.351
Answer: B.151
Explanation: In 1/4 of an hour there are 15*60 = 900 seconds
The number of 6-second intervals = 900/6 = 150
After the first flash, there will be 150 more flashes for a total of 151.
The answer is B.
Question: A person covered one-fourth of the total distance at 17 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
A.21 (1/8)
B.21 (19/25)
C.21 (8/25)
D.29 (1/25)
Answer: B.21 (19/25)
Explanation: Let the total distance be x km
total time taken = (x/4)/17 + (3x/4)/24 = 25x/544
Average speed = x/(25x/544) = = 21 (19/25)kmph.
Answer: B
Question: Dhanumjay invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
A.8% p.a.
B.5% p.a.
C.6% p.a.
D.4% p.a.
Answer: B.5% p.a.
Explanation: Explanation:
Let the rate of interest be R% p.a.
17400[1 + R/100]2 = 17400 + 1783.50
[1 + R/100]2 = (17400 + 1783.50)/17400
= 1 + 1025/10000 = 1 + 41/400
= 441/400 = [21/20]2
[1 + R/100] = 21/20
R/100 = 1/20
∴ R = 5
Answer: Option B
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
A.14 years
B.19 years
C.33 years
D.38 years
Answer: A.14 years
Explanation: Let the son's present age be x years. Then, (38 - x) = x
2x = 38.
x = 19.
Son's age 5 years back (19 - 5) = 14 years.
Answer:A
Question: Find the term next in series..
1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,25/4,?
A.next number is 48
B.58
C.40
D.43
Answer: A.next number is 48
Explanation: [1,1/2,3/2,2], [5,1/3/16/3,15], [12,1/4,25/4,x]
1+1/2=3/2......1/1/2=2
5+1/3=16/3.....5/1/3=15
12+1/4=25/4....12/1/4=48
ANSWER:A
Question: If 9 is a factor of 2k, then which of the following may not be an integer?
A.6k/54 + 2k/3
B.(4k-18)/9
C.(2k+27)/9
D.(81-4k^2)/81
Answer: A.6k/54 + 2k/3
Explanation: I got the right answer A after plugging in 18 for k.
While going through Kaplan's explanation, I couldn't understand the part about choice A.
"6k/54 + 2k/3 = 3/6 * 2k/9 + 2k/3.
Since 9 is a factor of 2k, 3 is also factor of 2k. So 2k/3 is an integer, as is 2k/9. But 3/6 = 1/2, so if 2k/9 is not even, the expression 3/6 * 2k/9 will not be even."
But, isn't 2k/9 always even? 9 is a factor of 2k, which means that we could have 2(9), 2(2)(9), 2(3)(9), and so forth. The 9 in the denominator cancels out the 9 in the numerator. So we are left with 2 * something. So 2k/9 is even.A
Question: If the selling price of 50 books is equal to the cost price of 40 books, then the loss or gain percent is:
A.10
B.30
C.20
D.40
Answer: C.20
Explanation: C
20%
Let C.P. of each books be $ 1.
Then, C.P. of 50 books= $50;
S.P. of 50 books = $40.
Loss % = 10/50 * 100 = 20%
Question: At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 2 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: 39 = 19 + 18 + 12 - 2 - 2x
2x = 19 + 18 + 12 - 2 - 39
= 45 - 37
= 8
x = 4
C
Question: The area of a circle of radius 5 is numerically what percent of its circumference?
A.200
B.225
C.240
D.250
Answer: D.250
Explanation: Solution
Required % = [ Π x (5)2 / 2Π x 5 x 100]%
‹=›250%.
Answer D
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
A.297 m
B.178 m
C.245 m
D.278 m
Answer: C.245 m
Explanation: Speed = (45 * 5/18) m/sec
= (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2
==> 2(130 + X) = 750 ==> X
= 245 m.
Answer:C
Question: How many paying stones, each measuring 2 m * 2 m are required to pave a rectangular court yard 30 m long and 18 m board?
A.99
B.18
C.135
D.17
Answer: C.135
Explanation: 30 * 18= 2* 2 * x => x
= 135
Answer: C
Question: Vijay spends 40% of his monthly income on household items, 20% of his monthly income on buying cloths, 10% of his monthly income on medicines and saves the remaining amount which is Rs. 6000. Find his monthly income.
A.Rs. 40000
B.Rs. 20000
C.Rs. 50000
D.Rs. 45000
Answer: B.Rs. 20000
Explanation: Savings 30% - 6000
Expenditure 70% - 14000
Total - 20000
Answer : B
Question: Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 30% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
A.66%
B.79%
C.86%
D.116%
Answer: B.79%
Explanation: Let the price of Company A's assets be 100
Price of assets of KW is 30% more than company A's assets which is 130
Price of assets of KW is 100% more than company B's assets which means price of Company B's assets is half the price of KW = 65
A+B = 165
KW = 130
KW/(A+B)*100 = 130/165*100 = 78.78% or 79%
B
Question: Find the distance covered by a man walking for 72min at a speed of 10km/hr?
A.12 km
B.3km
C.4km
D.5km
Answer: A.12 km
Explanation: Distance = 10*72/60 = 12 km
Answer is A
Question: The sum of the heights of two high-rises is x feet. If the first high rise is 37 feet taller than the second, how tall will the second high rise be?
A.(x- 37)
B.2x−(37+z)
C.(x−37)/2 + z
D.x/2 - 37 + z
Answer: A.(x- 37)
Explanation: I will note h1 the height of high-rise 1 and h2 the height of high-rise 2. SO:
h1 + h2 = x
and h1 = h2 + 37 =>
h2 + h2 + 37 = x => 2h2 = x-37 =? h2 = (x-37)
CORRECT ANSWER A
Question: There are two decks of 10 cards each. The cards in each deck are labeled with integers from 10 to 20 inclusive. If we pick a card from each deck at random, what is the probability that the product of the numbers on the picked cards is a multiple of 6?
A.0.23
B.0.36
C.0.4
D.0.42
Answer: C.0.4
Explanation: If 6 is a multiple, we need 2 and 3 as a factor of the number. If we factor the numbers 11 through 20 we have:
11 = 11
12 = 2*2*3
13 = 13
14 = 7*2
15 = 5*3
16 = 2*2*2
17 = 17
18 = 3*2*3
19 = 19
20 = 5*2*2
Combos that have a 2 and a 3 as factors (first + second card):
12 + anything - 19 of these possibilities (we count 12 + 12 only once)
14 + 15 - 2 of these possibilities
15 + 16 - 2 of these possibilities
15 + 20 - 2 of these possibilities
18 + anything (except 12, since that is counted in our first option) - 17 of these possibilities
Total possibilities that will be a multiple of 6: 42
Total possibilites: 10*10=100
Probability = 42/100 = 0.40
Answer:C
Question: Cistern may be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time cistern will get filled ?
A.8 hrs
B.8.5 hrs
C.7 hrs
D.7.2 hrs
Answer: D.7.2 hrs
Explanation: filled in 1 hr = 1/4
empties in 1 hr = 1/9
net filled in 1 hr = 1/4-1/9
==>filled in 36/5 ==> 7.2 hrs
ANSWER D
Question: A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A?
A.40%
B.45%
C.50 %
D.60 %
Answer: D.60 %
Explanation: Another method to solve this question using equations:
1 kg of Brand A will have 400g millet and 600g sunflower.
1 kg of Brand B will gave 650g millet and 350g sunflower.
Suppose,x kg of Brand A and y kg of Brand B are in the mixture.
Then total weight of millet = 400x+650 y g
Total weight of mixture = 1000x + 1000 y g
Given that millet is 500% hence
(400x+650y)/(1000x + 1000y) = 1/2
or, 800x + 1300 y = 1000x+1000y
or 300y=200x
or, x/y = 3/2
% of Brand A = (3/(3+2))*100 =60%
Hence answer is D
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
A.23 years
B.22 years
C.21 years
D.20 years
Answer: B.22 years
Explanation: Let present age of the son =x years
Then, present age the man =(x+24) years
Given that, in 2 years, man's age will be twice the age of his son
⇒(x+24)+2=2(x+2)
⇒x=22
ANSWER:B
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 32 kmph. Of how many minutes does the train stop per hour?
A.17
B.83
C.12
D.83
Answer: A.17
Explanation: Explanation:
T = 13/45 * 60 = 17
Answer: Option A
Question: If 9/(1 + 4/x) = 1, then x =
A.3
B.1/2
C.1/3
D.-1/3
Answer: B.1/2
Explanation: The expression 9/(1 + 4/x) = 1should have been equal to something .
If 9/(1 + 4/x) = 1 = 1
=> 9x/(x + 4) = 1
=> 9x = x + 4
=>8x = 4
=>x = 1/2
Correct Option : B
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
A.Rs.3600
B.Rs.3700
C.Rs.3800
D.Rs.3900
Answer: D.Rs.3900
Explanation: Area = (l + b – d) d
(80 + 60 – 10)10 => 1300 m2
1300 * 3 = Rs.3900
ANSWER:D
Question: In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?
A.36
B.48
C.52
D.30
Answer: B.48
Explanation: Required number = 4!2! = 48
Answer is B
Question: What number comes next in this Number series.
4 4 6 9 7 8 8 ?
*Hint: check calende
A.1
B.3
C.6
D.7
Answer: D.7
Explanation: A
7 (the number of letters in the month January)
June : 4 letters
July : 4 letters
August: 6 letters
September : 9 letters
October : 7 letters
November : 8 letters
December : 8 letters
Question: If the price of petrol increases by 32, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
A.25%
B.20%
C.24.2%
D.33.33%
Answer: C.24.2%
Explanation: Explanation :
let us assume before increase the petrol will be Rs. 100.
After increase it will be Rs (100+32) i.e 132.
Now, his consumption should be reduced to :-
=(132−100)/132 ∗ 100.
Hence, the consumption should be reduced to 24.2%.
Answer : C
Question: Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 16 such machines produce in 4 minutes ?
A.2880
B.1800
C.2700
D.10800
Answer: A.2880
Explanation: Solution
Let the required number of bottles be x.
More machines,More bottles (Direct Proportion)
More minutes,More bottles (Direct Proportion)
âˆ´ 6 Ã— 1 Ã— x = 16 Ã— 4 Ã— 270 â‡” x = 16x4x270/6= 2880 . Answer A
Question: If x^2 = y^3 , where x and y are non negative and non zero integers, what is the greatest possible value of x * y from options below?
A.343
B.625
C.243
D.921
Answer: C.243
Explanation: C. x=27, y=9
27^2=729
9^3=729
x * y = 27 * 9 = 243
My answer is (C) 243
Question: The ratio between the speeds of two trains is 7: 9. If the second train runs 540 kms in 3 hours, then the speed of the first train is ?
A.140 km/hr
B.130 km/hr
C.110 km/hr
D.120 km/hr
Answer: A.140 km/hr
Explanation: Explanation:
Let the speeds of two trains be 7X and 9X km/hr.
9/X=540/3=>X=20Km/hr
So speed of first train is 20*7 = 140 km/hr
Option A
Question: Vehicle X is 22 miles ahead of Vehicle Y, which is traveling the same direction along the same route as Vehicle X. If Vehicle X is traveling at an average speed of 36 miles per hour and Vehicle Y is traveling at an average speed of 45 miles per hour, how long will it take Vehicle Y to overtake and drive 23 miles ahead of Vehicle X?
A.5 hours
B.7 hours 20 minutes
C.4 hours
D.3 hours 45 minutes
Answer: A.5 hours
Explanation: Relative speed = 45-36 = 9 miles per hour
Dist required = 22+23 = 45 miles
Time taken to overtake = 45/9 = 5 hours. A is the answer.
Question: If the personal income tax rate is lowered from 38% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36500?
A.$1825
B.$5000
C.$3150
D.$7000
Answer: A.$1825
Explanation: Saving = (38-33)% of 36500 = 1825.
Answer:A
Question: Currently guavas cost 30 cents/pound. Due to a disease affecting the guava trees it is expected that next month guavas will cost 50% more than they do currently. How much are guavas expected to cost next month?
A.50 cents /pound
B.45 cents /pound
C.55 cents /pound
D.60 cents /pound
Answer: B.45 cents /pound
Explanation: If a new cost is p percent greater than the old cost, then (new cost) = (old cost) + (p/100)(old cost).
In this case, (new cost) = 30 cents/pound + (50/100)(30 cents/pound)
= 30 cents/pound + 15 cents/pound
= 45 cents /pound
Answer : B
Question: There are 10 children in a company's day-care center, and a pair of children is to be selected to play a game. At most, how many different pairs are possible?
A.100
B.90
C.50
D.45 different pairs
Answer: D.45 different pairs
Explanation: 1. first child out of 0 - 10 possibilities
2. second child out of 9 - 9 possibilities. the total number of pairs = 9*10=90
3. exclude xy yx cases: 90/2=45
Second way
N=10C2=10!/(8!2!) =10*9/2=45
ANS:D
Question: 8.008/4.004
A.2
B.0.02
C.0.2
D.20
Answer: A.2
Explanation: Answer is 2, move the decimal forward three places for both numerator and denominator or just multiply both by a thousand. The result is 8008/4004= 2
Answer A
Question: If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?
A.4:3
B.4:0
C.4:5
D.4:7
Answer: A.4:3
Explanation: Explanation:
a1:a2 = 4:3
d1:d2 = 4:3
Answer: Option A
Question: A rectangular garden is to be twice as long as it is wide. If 150 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?
A.40
B.50
C.60
D.70
Answer: B.50
Explanation: ALTERNATE APPROACH
Backsolving ( Using answer options to reach the correct answer ) can work wonders here if one is fast in calculations.
Given Perimeter is 150
So, 2 ( L + B ) = 150
Or, L + B = 75
Now use the answer options ( Given Length ; Breath will be half the length)
(A) 40
L = 40 ; B = 20
L + b = 60
(B) 50
L = 50 ; B = 25
L + b = 75
(C) 60
L = 60; B = 30
L + b = 90
(D) 70
L = 70; B = 35
L + b = 105
(E) 80
L = 80; B = 40
L + b = 120
Thus you see no, need of any calculations, U can reach the correct option only by checking options ; correct answer will be (B)
Question: Find the roots of quadratic equation: 3x2 - 7x - 6 = 0?
A.-6, 3
B.3, -2/3
C.-5, 2
D.-9, 2
Answer: B.3, -2/3
Explanation: 3x2 - 9x + 2x - 6 = 0
3x(x - 3) + 2(x - 3) = 0
(x - 3)(3x + 2) = 0 => x = 3, -2/3
ANSWER:B
Question: While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average ?
A.8 + 15/17
B.8 + 15/18
C.8 + 15/12
D.8 + 15/11
Answer: A.8 + 15/17
Explanation: Explanation:
Total sales tax paid = 7% of Rs, 400 + 9% of Rs. 6400
== Rs. (28 + 576) = Rs. 604.
Total cost of the items = Rs. (400 + 6400) = Rs. 6800.
Required percentage =% =%.
Answer: A) 8 + 15/17
Question: In a ground there are men and dogs. In all, there are 20 heads and 72 feet. How many men and how many horses are in the ground?
A.8 men and 14 dogs.
B.7 men and 14 dogs.
C.6 men and 14 digs.
D.5 men and 14 dogs.
Answer: C.6 men and 14 digs.
Explanation: 6 men and 14 dogs.
Let M = men and D = dogs. We can come up with 2 equations.
M + D = 20
2M + 4D= 72
Solving the 2 equations will give 6 men and 14 dogs.
Answer C
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 8:30 am. They shall first cross each other at ?
A.7:15 am
B.7:30 am
C.8: 42 am
D.7:50 am
Answer: C.8: 42 am
Explanation: Explanation:
Relative speed between two = 6-1 = 5 round per hour
They will cross when one round will complete with relative speed,
which is 1/5 hour = 12 mins.
So 8:30 + 12 mins = 8:42
Option C
Question: A 28 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
A.12
B.8
C.88
D.77
Answer: B.8
Explanation: 1: 2/5 = 5: 2
2/7 * 28 = 8
Answer: B
Question: Speed of a boat in standing water is 9 kmph and the speed of the stream is 1. 5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is
A.16 hours
B.18 hours
C.20 hours
D.24 hours
Answer: D.24 hours
Explanation: Solution
Speed upsteram	= 7.5 kmph.
Speed downsteram	= 10.5 kmph.
Total time taken	=[10.5/7.5 + 105/10.5]hours
= 24 hours.
Answer D
Question: Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed W ?
A. 6
B. 8
C. 10
D. 12
Answer: B. 8
Explanation: Let the current speed be x miles per hour.
Time taken if speed is 50% faster (i.e. 3x/2 = 1.5x) = 96/1.5x
Time taken if speed is reduced by 4 miles/hr (i.e. (x-4)) = 96/(x-4)
As per question, 96/(x-4) - 96/1.5x = 16
Solving this W we get x = 8.
B.
Question: The difference between two integers is 5. Their product is 500. Find the numbers.
A.15, 20
B.20, 25
C.30, 25
D.21, 26
Answer: B.20, 25
Explanation: Explanation:
Let the integers be x and (x + 5). Then,
x(x + 5) = 500
x2 + 5x - 500 = 0
(x + 25)(x - 20) = 0
x = 20
So, the numbers are 20 and 25.
ANSWER IS B
Question: The sum of the first 60 positive even integers is 3,750. What is the sum of the odd integers from 101 to 200, inclusive?
A. 4,700
B. 7,500
C. 10,500
D. 15,000
Answer: A. 4,700
Explanation: 101+103+.......199
If we remove 100 from each of these it will be sum of 1st 100 odd numbers.
so 101+103+.......199 = 60 * 100 + (1+3+5+7+......)
sum of 1st 100 natural numbers = (100 * 101) / 2 = 5050
Sum of 1st 60 positive even integers = 3750
sum of 1st 100 odd numbers = 5050 - 3750 = 1300
so 101+103+.......199 = 60 * 100 + (1+3+5+7+......) = 6000 + 1300 =4700
A is the answer.
Question: Source: Knewton
A cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 12.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 7 hours?
A. 42
B. 84
C. 70
D. 98
Answer: B. 84
Explanation: We are told that:generallya cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 12.0 miles per hour, inclusive. Is it possible the cyclist to travel with maximum speed for some time? Why not, if there is right terrain for that. So, if there is long enough terrain for the maximum speed of 12 mph then the maximum distance, in miles, that the cyclist could travel in 7 hours would be 7*12=84 miles.
Answer: B.
Question: If x ≠ 0 and x^3 - (2- x^3)/x^3 = y/x^2, then y =
A.-2-x
B.-2+x
C.-(x+2)
D.-2/x
Answer: D.-2/x
Explanation: x^3 - (2- x^3)/x^3 = y/x^2
-2/x^3 = y/x^2
y = -2/x
Answer : D
Question: Three friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discount?
A.5%
B.10%
C.20%
D.25%
Answer: D.25%
Explanation: Let x be the original price of one ticket.
The total original cost is 3x.
The new cost is 4y, where y is the discounted price of one ticket.
3x = 4y
y = 3x/4 =0.75x which is a discount of 25%.
The answer is D.
Question: A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 10 days.In how many days B alone can do the work?
A.5days
B.15 days
C.12 days
D.9 days
Answer: B.15 days
Explanation: Explanation:
A’s 5 day work = 5*1/15=1/3
Remaining work = 1-1/3=2/3
B completes 2/3 work in 6 days
B alone can do in x days
2/3*x=10
X=15 days
Answer: Option B
Question: A company consists of 5 senior and 3 junior staff officers. If a committee is created with 1 senior and 2 junior staff officers, in how many ways can the committee be formed?
A. 15
B. 30
C. 45
D. 80
Answer: A. 15
Explanation: Choose 1 senior from 5 senior and choose 2 junior from 3 junior:
5C1 * 3C2 = 5 * 3 = 15
Ans: A
Question: The average of first ten prime numbers which are odd is?
A.15.9
B.15.5
C.15.2
D.15.8
Answer: D.15.8
Explanation: Sum of first 10 prime no. which are odd = 158
Average = 158/10 = 15.8
Answer: D
Question: Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 10200, how much money did he borrow?
A.10000
B.80288
C.2668
D.2600
Answer: A.10000
Explanation: Let the sum be Rs. x. Then,
[(x * 6 * 3)/100] + [(x * 9 * 5)/100] + [(x * 13 * 3)/100] = 10200
18x + 45x + 39x = (10200 * 100)
102x = 1020000 => x = 10000.
Answer:A