RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Find the principal if at 9% per annum simple interest, after 3 years the interest amounts to Rs. 2336 less than the principal?
A.1200
B.3450
C.3200
D.3500
Answer: C.3200
Explanation: P - 2336 = (P*9*3)/100
P = 3200
Answer: C
Question: The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 2years ago?
A.152460
B.214560
C.160000
D.210000
Answer: C.160000
Explanation: population 2 years ago = 176400/(1 + 5/100)^2
= 176400* 20/21 * 20/21
=160000
Answer is C
Question: A basket contains 3 blue, 5 black and 3 red balls. If 3 balls are drawn at random what is the probability that all are black?
A.2/33
B.3/33
C.33/2
D.8/33
Answer: A.2/33
Explanation: I suppose case is without replacement.
Probability for first to be black = 5/11
Probability for second to be black =4/10
Probability for third to be black = 3/9
Hence
Probability for all to be black = 5/11×4/10×3/9
= 2/33
Answer is A
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
A.7 sec
B.6 sec
C.8 sec
D.4 sec
Answer: B.6 sec
Explanation: Speed of train relative to man = 60 + 6
= 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 * 3/55
= 6 sec.
Answer:B
Question: X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?
A.Rs 100
B.Rs 110
C.Rs 120
D.Rs 130
Answer: C.Rs 120
Explanation: (X+Y+Z)'s one day work=1/5 and (X+Y)'s one day work=1/15+1/10..
Z's one day work=1/30. ratio of one day work=1/15:1/10:1/30=2:3:1
therefore z will be paid=1/6*720=Rs 120.
ANSWER:C
Question: Mary's income is 60% more Than Tim's income and Tim's income is 30% less than Juan's income.What % of Juan's income is Mary's income.
A.112%
B.B.100%
C.96%
D.80%
Answer: A.112%
Explanation: Even I got 96%
J = 100
T = 100*0.7 = 70
M = 70*1.6 = 112
If Mary's income is x percent of J
M = J*x/100
x = M*100/J = 112*100/100 = 112
Ans:A
Question: A boatman can row 3 km against the stream in 20 minutes and return in 15 minutes. Find the rate of current ?
A.7/2 kmph
B.8/2 kmph
C.5/2 kmph
D.1.5 kmph
Answer: D.1.5 kmph
Explanation: Explanation:
Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr.
Speed in downstream = 3 x 60/15 = 12 km/hr
Rate of current = (12-9)/2 = 1.5 km/hr.
Answer: D
Question: A fair sided dice labeled 1 to 6 is tossed two times. What is the probability of the dice obtaining the same value?
A.1/36
B.6/36
C.1/2
D.7/216
Answer: B.6/36
Explanation: The total possible number of combination if the dice is thrown 2 times is 36.
There are 6 possible outcomes that the number shown on the dice is the same.
The number are: (1,1),(2,2),(3,3),(4,4),(5,5),(6,6)
Answer: B
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 7000. What was Simran's share in the profit?
A.Rs. 6423
B.Rs. 3000
C.Rs. 2,500
D.Rs. 4,000
Answer: B.Rs. 3000
Explanation: Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4
Simran's share = 7000 * 3/7 = Rs. 3000
ANSWER:B
Question: A 5-digit number is formed by the digits 2,4,5,6,8 (each digit used exactly once) . What is the probability that the number formed is divisible by 4 ?
A.2/5
B.3/5
C.4/5
D.6/5
Answer: A.2/5
Explanation: a no. is divisible by 4 if last two digit is divisible by 4
so numbers ending with 24,28,48,52,56,64,68,84 are divisible by 4
last two places are fixed by 24,28,48,52,56,64,68,84
so remaining 3 places can be filled in 3! ways for each
total=8*3!=48=n(E)
n(S)=5C4=120
p=48/120=2/5
ANSWER:A
Question: Of 45 applicants for a job, 21 had at least 4 years' experience, 27 had degrees, and 5 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
A.6
B.8
C.4
D.3
Answer: B.8
Explanation: 45 - 5 = 40
40 - 21 - 27 = -8
Then 8 are in the intersection between 4 years experience and degree.
Answer : B
Question: A car rental company charges for mileage as follows: 6 dollars per mile for the first n miles and 7 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?
A.7d-n
B.6*7d-n
C.11d-n
D.13d-n
Answer: A.7d-n
Explanation: Total Distance in miles = d
Millage Charge = 6n + (d-n) 7
6n --> For the first n Miles
(d-n)7--> Total no of miles after traveling the first n miles is d-n and the rate after n miles is 7 .
If we solve the equation , We will get 7d-n
Answer : A
Question: If Z is a positive integer, which of the following must be odd?
A.x+1
B.Z^2+Z
C.Z^2+Z+1
D.x^2−1
Answer: C.Z^2+Z+1
Explanation: A. Z+1 = can be odd or even. Since O + O =E or E + O = O
B. Z^2 + Z = Z(Z+1). Since from the above derivation we already know the term Z+1 can be Odd or Even, directly substitute here. Z(ODD) = Even (When Z is Even) or Z(EVEN) = EVEN [When Z is ODD]
C. Here's the answer. Since we know the term Z^2 + Z can always take a EVEN number, EVEN + 1 = ODD
Hence C.
Question: If x*y = xy + 2(x + y) for all integers x and y, then 2* (–3) =
A.–16
B.–11
C.–8
D.4
Answer: C.–8
Explanation: 2*(-3) = 2*(-3) + 2 (2 + (-3) ) = -6 -2 = -8
Option (C)
Question: A thief is spotted by a policeman from a distance of 225 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
A.350m
B.200m
C.400m
D.900m
Answer: D.900m
Explanation: Relative speed of the policeman = (10-8) km/hr =2 km/hr.
Time taken by police man to cover
(225m/1000) x 1/2 hr = 9/80 hr.
In 9/80 hrs, the thief covers a distance of 8 x 9/80 km = 9/10 km = 900 m
Answer is D.
Question: If x#y is defined to equal x^2/y for all x and y, then (-1#3)#3 =
A.4/3
B.1/3
C.1/27
D.-1/12
Answer: C.1/27
Explanation: (-1)^2 / 3 = 1/3
(1/3)^2 / 3 = 1/27
so C is my answer
Question: If the radius of a cylinder is doubled and so is the height, what is the new volume of the cylinder divided by the old one?
A.8.
B.2
C.6
D.4
Answer: A.8.
Explanation: let the radius be r and the the height be h.
New radius = 2r and height = 2h.
Area (new) : Area(old) = pi∗(2r)^2∗2h/pi∗r^2∗h = 8:1.
Hence the answer is A.
Question: Three coworkers P , E , R meet for Dinner. P had 5 sandwiches, E had 3 and R had none. Both PE share their sandwiches with R such that each one got the same amount. If R paid $ 8 to PE, how much of $ 8 should P get? Assume both sandwiches and Dollars can be split.
A.a) 5$
B.b) 3 $
C.c) 7 $
D.d) 4 $
Answer: C.c) 7 $
Explanation: we got total 8 sandwiches ....we are dividing equally in 3 people.
per person: 8/3
initially
p:8
E:3
r:0
now since r ate 8/3 so he is paying 8 dollars for 8/3 sandwiches.
now p also ate 8/3 of his 5 sandwiches = so he gave 5-8/3 to r ==>7/3 to r
ok we have 8 dollars for 8/3 sandwich
therefore for 7/3 sandwich we will get 7 dollars.
hence p should get 7 dollars.
hence C
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
A.30%
B.40%
C.50percent
D.60%
Answer: C.50percent
Explanation: Let original length = x and original breadth = y.
Original area = xy.
New length = x .
2
New breadth = 3y.
New area = x x 3y = 3 xy.
2 2
Increase % = 1 xy x 1 x 100 % = 50%.
2 xy
C
Question: 24 men working 8 hours a day can finish a work in 10 days. Working at the rate of 10 hours a day, the number of men required to finish the same work in 6 days is
A.30
B.36
C.34
D.32
Answer: D.32
Explanation: m1 × d1 × t1 × w2 = m2 × d2 × t2 × w1
24 × 10 × 8 × 1 = m2 × 6 × 10 × 1
⇒ m2 = 24×10×8/6×10= 32 men
Answer D
Question: 2525 * 9
A.22725
B.25675
C.22655
D.27575
Answer: A.22725
Explanation: Explanation:
2525 * (10 - 1)
= 25250 - 2525
= 22725
Option A
Question: what will come after
1,3,9,31,129
A.451
B.551
C.651
D.751
Answer: C.651
Explanation: 1*1+2 = 3
3*2+3 = 9
9*3+4 = 31
31*4 + 5 = 129
In same logic next number will be-
129*5 + 6 = 651
ANSWER:C
Question: Two integers are in the ratio of 1 to 3. If 10 is added to the smaller number, the ratio becomes 2 to 1. Find the larger integer.
A.6
B.9
C.10
D.12
Answer: A.6
Explanation: One option is to set up the equations and solve:
If the ratio of two integers x and y is 1 to 3, then 3x=y, where x is the smaller integer.
If adding 10 to the smaller integer makes the ratio 2 to 1, then x+10=2y.
Substituting y=3x into the second equation yields x+10=6x.
So, x=2 (smaller integer) and, y=3x=6 (larger integer) so A is the correct answer.
Another option is to TEST the answer choices.
A) the larger number is 6
Given: the two integers are in the ratio of 1 to 3
So, the smaller number must be 2
If 10 is added to the smaller number, the ratio becomes 2 to 1
If we add 10 to the smaller number (2), we get 12.
So, the new ratio is 12 to 6 which is the same as 2 to 1.
Therefore choice A is correct.
B) the larger number is 9
Given: the two integers are in the ratio of 1 to 3
So, the smaller number must be 3
If 10 is added to the smaller number, the ratio becomes 2 to 1
If we add 10 to the smaller number (3), we get 13
So, the new ratio is 13 to 9.
No good. We want a resulting ratio of 2 to 1
ELIMINATE B
C) the larger number is 10
Given: the two integers are in the ratio of 1 to 3
So, the smaller number must be 3.33 (which is not an integer)
Since both numbers are integers, the larger number cannot be 10.
ELIMINATE C
D) the larger number is 12
Given: the two integers are in the ratio of 1 to 3
So, the smaller number must be 4
If 10 is added to the smaller number, the ratio becomes 2 to 1
If we add 10 to the smaller number (4), we get 14
So, the new ratio is 14 to 12 which is 7 to 6.
No good. We want a resulting ratio of 2 to 1
ELIMINATE D
E) the larger number is 15
Given: the two integers are in the ratio of 1 to 3
So, the smaller number must be 5
If 10 is added to the smaller number, the ratio becomes 2 to 1
If we add 10 to the smaller number (5), we get 15
So, the new ratio is 15 to 15. This is the same as the ratio of 1 to 1
ELIMINATE E
Therefore A is the only correct choice.
Question: Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
A.2:3
B.3:2
C.1:3
D.4:3
Answer: D.4:3
Explanation: 5% of A + 4% of B = 2/3 (6% of A + 8% of B)
5/100*A + 4/100*B = 2/3(6A/100 + 8B/100)
==> A/20 + B/25 = A/25 + 4B/75
==> (1/20 - 1/25)A = (4/75 - 1/25)B
==> A/100 = B/75
==> A/B = 100/75 = 4/3
Required ratio = 4 : 3
Answer D) 4:3
Question: The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,000?
A.13
B.10
C.9
D.7
Answer: C.9
Explanation: To maximize the length of z, we should minimize its prime base. The smallest prime is 2 and since 2^9 = 512 <1,000, then the greatest possible length of integer z is 9.
The answer is C.
Question: Mona and Sona go around a circular track of length 400 m on a bike at speeds of 18 kmph and 36 kmph. After how much time will they meet for the first time at the starting point?
A.120
B.80
C.60
D.136
Answer: B.80
Explanation: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of monA , length of the track / speed of sona}
= LCM { 400/ (18 * 5/18) , 400/ (36 * 5 /18) }
= LCM (80, 40) = 80 sec.
Answer: B
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of five rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after___ minutes?
A.11 min
B.12 min
C.10 min
D.15 min
Answer: D.15 min
Explanation: Since A and B move in the same direction along the circle, so they will first meet each other when there is a difference of one round between the two.
Relative speed of A and B = 5 - 1 = 4 rounds per hour.
Time taken to complete one round at this speed = 1/4 hr = 15 min.
D
Question: If -4 < x < 7 and -7 < y < 3, which of the following specifies all the possible values of xy?
A.-42 < xy < 21
B.-49 < xy < 24
C.-28 < xy < 18
D.-24 < xy < 21
Answer: B.-49 < xy < 24
Explanation: The least value of xy is a bit more than 7*(-7)=-49 and the largest value of xy is a bit less than (-4)*(-6)=24.
Therefore -49 < xy < 24.
Answer: B.
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
A.5460
B.3377
C.2776
D.2887
Answer: C.2776
Explanation: 5000 * 104/100 * 105/100 => 5460
Answer: C
Question: If n is a natural number, then (6n^2 + 6n) is always divisible by?
A.6 only
B.Both 6 and 12
C.12 only
D.6 or 12
Answer: B.Both 6 and 12
Explanation: 6n^2 + 6n = 6n(n + 1)
n(n + 1) is always even when n is a natural number
Hence 6n^2 + 6n is always divisible by 6 and 12
B)
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $396 per week. How much does she earn in dollars per hour?
A.2
B.8
C.9
D.11
Answer: D.11
Explanation: Explanation:
Total hours worked = 8 x 3 + 6 x 2 = 36
Total earned = 396. Hourly wage = 396 / 36 = 11
Answer: D
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 15000, then population in 1980 was?
A.142856
B.130000
C.261000
D.627000
Answer: A.142856
Explanation: Explanation:
X * (105/100) = 15000
X = 15000/1.05
X = 14285.71=142856
Answer: Option A
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
A.3.34 sq m
B.2.98 sq m
C.9.98 sq m
D.1.98 sq m
Answer: A.3.34 sq m
Explanation: Area of the path = Area of the outer circle - Area of the inner circle
= ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22]
= ∏(0.25)(4.25) { (a2 - b2
= (a - b)(a + b) }
= (3.14)(1/4)(17/4) = 53.38/16
= 3.34 sq m
Answer: A
Question: Find the value of (X) in the given equation ?
35% of 1500 + X = 45% of 4200 – 320
A.910
B.980
C.1012
D.1045
Answer: D.1045
Explanation: Explanation:
35% of 1500 + X = 45% of 4200 – 320
(35/100 * 1500) + X = (45/100 * 4200) – 320
525 + X = 1890 – 320
X = 1890 – 320 – 525
X = 1890 – 845
X = 1045
ANSWER: D
Question: A is 50% as efficient as B. C does half the work done by A & B together. If C alone does the work in 40 days, then A, B and C together can do the work in how many days?
A.11 1/3 days
B.13 1/3 days
C.12 1/3 days
D.15 1/3 days
Answer: B.13 1/3 days
Explanation: A’s one day’s work : B’s one days work = 150 : 100 = 3 : 2.
Let A’s & B’s one day’s work be 3X and 2X days respectively.
Then C’s one day’s work = 5X/2
= > 5X/2 = 1/40
= > X = ((1/40) x (2/5)) = 1/100
A’s one day’s work = 3/100
B’s one day’s work = 1/50
C’s one day’s work = 1/40
Thus, A, B and C can do the work in 13 1/3 days.
ANSWER:B
Question: The average of five consecutive odd numbers is 61. What is the difference between the highest and the lowest number?
A.8
B.2
C.5
D.Cannot be determined
Answer: A.8
Explanation: Suppose the consecutive odd numbers are : x, x + 2, x + 4, x + 6 and x + 8
Therefore, the required difference = x + 8 – x = 8
Note that answering the above question does not require the average of the five consecutive odd numbers.
Answer A
Question: Robert can row a boat at 15 kmph in still water. If the speed of the stream is 4 kmph, what is the time taken to row a distance of 80 km downstream?
A.80/15
B.80/17
C.80/19
D.80/21
Answer: C.80/19
Explanation: Speed downstream = 15+4=19 kmph.
Time required to cover 60 km downstream = d/s = 80/19 hours. Answer:C
Question: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A.1/3
B.3/4
C.7/19
D.8/21
Answer: A.1/3
Explanation: Total number of balls = (8 + 7 + 6) = 21.
Let E	= event that the ball drawn is neither red nor green
= event that the ball drawn is blue.
n(E) = 7.
P(E) =	n(E)/n(S)	=	7/21 =	1/3	.
Answer :A
Question: The S.I. on a certain sum of money for 2 years at 6% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
A.2197
B.1267
C.3500
D.2267
Answer: C.3500
Explanation: Explanation:
C.I. = [4000 * (1 + 10/100)2 - 4000]
= (4000 * 11/10 * 11/10 - 4000) = Rs. 840.
Sum = (420 * 100)/(2 * 6) = Rs. 3500
Answer:C
Question: If s and t are positive integers, st + s + t cannot be
A.5
B.6
C.7
D.8
Answer: B.6
Explanation: Let st + t + s = x
Add 1 on both sides:
st + t + s + 1 = x + 1
t(s + 1) + s + 1 = x + 1
(s + 1)(t + 1) = x + 1
Minimum value of (s + 1) = 2
Minimum value of (t + 1) = 2
Hence x + 1 cannot be prime
Substitute x from the given options: 6 + 1 = 7 --> prime --> st + t + s cannot be 6
Answer: B
Question: A certain candy manufacturer reduced the weight of Candy Bar M by 5 percent buy left the price unchanged. What was the resulting percent increase in the price per ounce of Candy Bar M?
A.5.5
B.5.4
C.5.3
D.5.2
Answer: D.5.2
Explanation: assume 1oz candy cost $1 before.
now price remain same $1 but weight of candy reduces to 0.95 oz
new price of candy = 1/0.95 =1.052
price increase 5.2 %
D
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
A.0
B.1
C.10
D.19
Answer: A.0
Explanation: Solution
Average of 20 numbers	= 0
Sum of 20 numbers	=(0 x 20) =0.
It is quite possible that 19 of these numbers may be positive and if there sum id a, then 20th number is (-a).
Answer A
Question: A number x is 12 times another number y. The percentage that y is less than x is
A.91.6%
B.87.5%
C.80%
D.11%
Answer: A.91.6%
Explanation: Say y=1 and x=12.
Then y=1 is less than x=12 by (12-1)/12*100=11/12*100=91.6%.
Answer: A.
Question: At a local beach, the ratio of little dogs to average dogs to enormous dogs is 3:8:9. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?
A.25%
B.40%
C.30%
D.55%
Answer: C.30%
Explanation: Little Dogs(L), Average Dogs(A) and Enormous Dogs (E)
The initial ratio for L:A:E :: 3:8:9
Initial Total dogs = 20X ( x assumed; 3+8+9= 20), Since the total dogs are less than 30 therefore initial total value has to be 20
L = 2, A = 5 E = 8
L:A= 2:5
This ratio doubles
Hence New Dog count is
L= 6 , A = 8 E= X: Also 6+8+x<30
We need to Find X*100/(6+8+X)
Now it says that new percentage of little dogs and Average dogs is an integer
%L = 6*100/(14+x) %A = 8*100/(14+x); Only Value for X is 6 ; 14+x<30 and % integer
Therefore, Enormus Dogs % is = 6*100/(20) = 30%
C
Question: A man can reach certain place in 10hours. If he reduces his speed by 1/5th, he goes 10km less in time. Find his speed?
A.5km/hr
B.22.5km/hr
C.10.78km/hr
D.14km/hr
Answer: A.5km/hr
Explanation: Let the speed be x km/hr
10x-10* 4/5 *x = 10
10x - 8x = 10
2x = 10
x = 5km/hr
Answer is A
Question: Shreyas bought an article and sold it for 105% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.42000/-?
A.Rs.40000
B.Rs.45640
C.Rs.44250/-
D.Rs.43200
Answer: A.Rs.40000
Explanation: Explanation:
105% of CP = Rs.42000
:. CP = Rs.42000x100/105 = Rs.40000.
Answer: Option A
Question: If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:
A.3
B.2
C.1
D.6
Answer: C.1
Explanation: C
1
Clearly, 4864 is divisible by 4.
So, 9P2 must be divisible by 3.
So, (9 + P + 2) must be divisible by 3.
P = 1.
Question: The average of 11 numbers is 11. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
A.10.4
B.11.5
C.81.5
D.11.5
Answer: A.10.4
Explanation: Explanation:
Middle numbers = [(10.5 x 6 + 11.4 x 6) - 11 x 11] = 10.4.
Answer: A
Question: (2^2-1)(2^2+1)(2^4+1)(2^9+1)=
A.2^17 - 1
B.2^16 + 1
C.2^32 - 1
D.2^128 - 1
Answer: A.2^17 - 1
Explanation: A: is correct
(2^2-1)* (2^2+1)=(2^4-1)
(2^4-1)*(2^4+1)=2^8-1
(2^8-1)*(2^9 +1)=2^17-1
You can apply to this formula: a^2- b^2=(a-b)*(a+b)
Question: 120 is what percent of 50 ?
A. 5%
B. 240%
C. 50%
D. 2%
Answer: B. 240%
Explanation: 50*x=120 --> x=2.4 --> 2.4 expressed as percent is 240%.
Answer: B.
Question: If x^2=3x+1, then x^3 = ?
A.8x+2
B.10x+3
C.6x+1
D.2x+3
Answer: B.10x+3
Explanation: x^2 = 3x+1
x^3 = x*x^2 = x*(3x+1) = 3x^2 + x = 3(3x+1)+x = 10x+3
The answer is B.
Question: A reduction of 20% in the price of oil enables a house wife to obtain 10 kgs more for Rs.1500, what is the reduced price for kg?
A.Rs.20
B.Rs.25
C.Rs.30
D.Rs.35
Answer: C.Rs.30
Explanation: Explanation:
1500*(20/100) = 300 ---- 10
? ---- 1 => Rs.30
Answer: C
Question: The average number of shirts with Salman, Ambani and Dalmiya is 40, if all of them reached a shopping mall in Delhi and purchased 14 shirts each of them then average number of shirt each of them now has
A.66
B.54
C.67
D.can't be determined
Answer: B.54
Explanation: Answer
Required average
= Old average + New average
= 40 + 14 = 54
Correct Option: B
Question: The average weight of A, B and C is 60 kg. If the average weight of A and B be 70 kg and that of B and C be 50 kg, then the weight of B is:
A.50 kg
B.60 kg
C.55 kg
D.57 kg
Answer: B.60 kg
Explanation: EXPLANATION
Let A, B, C represent their respective weights. Then, we have:
A + B + C = (60 x 3) = 180 â€¦. (i)
A + B = (70 x 2) = 140 â€¦. (ii)
B + C = (50 x 2) = 100 â€¦.(iii)
Adding (ii) and (iii), we get: A + 2B + C = 240 â€¦. (iv)
Subtracting (i) from (iv), we get : B = 60.
Bâ€™s weight = 60 kg.
Answer B
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
A.299 m
B.777 m
C.200 m
D.167 m
Answer: C.200 m
Explanation: 2(l + 100) = 600 => l
= 200 m
Answer:C
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 14 years and that for 18 years?
A.7 : 9
B.8 : 9
C.5 : 9
D.Data inadequate
Answer: A.7 : 9
Explanation: Let the principal be P and rate of interest be R%.
∴ Required Ratio = [(P×R×14/100) /(P×R×18/100)]=14PR/18PR=14/18=7:9
Answer A
Question: Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 14 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?
A.2
B.4
C.5
D.6
Answer: A.2
Explanation: Total Distance = 14 kms
Maxwell Speed = 4 kms/hr
Maxwell travelled for 1hour before Brad started , therefore Maxwell traveled for 4 kms in 1 hour.
Time taken = Total Distance / Relative Speed
Total Distance after Brad started = 10 kms
Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4 = 10 kms/hr
Time taken to meet Brad after Brad Started = 10 / 10 = 1 hrs
Distance traveled by Maxwell = Maxwell's speed * time taken = 4 * 1 = 4+4 = 8 kms...
Therefore Total Time taken by Maxwell to meet Brad = Distance travelled by Maxwell / Maxwell's Speed = 8/4 = 2 hrs ... Answer A
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
A.4:6
B.4:3
C.4:4
D.4:7
Answer: B.4:3
Explanation: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √16 : √9 = 4:3
Answer: B