RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
A.8
B.3
C.9
D.3
Answer: B.3
Explanation: S.I. = (1200 * 10 * 1)/100 = Rs. 120
C.I. = [1200 * (1 + 5/100)2 - 1200]
= Rs. 123 Difference = (123 - 120)
= Rs.3.
Answer:B
Question: There are 408 boys and 312 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.
A.31
B.32
C.35
D.30
Answer: D.30
Explanation: Explanation:
HCF (408, 312) = 24
The number of boys or girls that can be placed in a section = 24.
Thus the total number of sections is given by
408/24+312/24 =17+13 = 30
Answer: D
Question: The chance of rain on any given day in Tel-Aviv is 50%. What is the probability E that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
A.15/64
B.30/64
C.1/2
D.1/4
Answer: A.15/64
Explanation: chances of rain on exactly 4 days and not rain on 2 days = (1/2)^4* (1/2)^2 = 1/64
Chosing 4 days out of 6 = 6!/(4!*2!) = 15
chances of rain on exactly 4 days out of 6 days E= 15/64
Ans A it is.
Question: When positive integer N is divided by positive integer J, the remainder is 18. If N/J = 204.03, what is value of J?
A.600
B.200
C.400
D.800
Answer: A.600
Explanation: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder
So, Dividend/Divisor = Quotient + Remainder/Divisor
Given that N/J = 204.03
Here 204 is the quotient.
Given that Remainder = 18
So, 204.03= 204 + 18/J
So, J = 600
Answer: A
Question: A bucket full of nuts was discovered by the crow living in the basement. The crow eats a fifth of the total number of nuts in 8 hours. How many hours in total will it take the crow to finish a quarter of the nuts?
A.9
B.10
C.11
D.12
Answer: B.10
Explanation: In one hour, the crow eats 1/40 of the nuts.
(1/4) / (1/40) = 10 hours
The answer is B.
Question: A Bell Curve (Normal Distribution) has a mean of − 1 and a standard deviation of 1/8 . How many integer values are within three standard deviations of the mean?
A.0
B.1
C.3
D.6
Answer: C.3
Explanation: Mean = -1
Standard Deviation = 1/8
1 unit of standard deviation BELOW the mean = -1 - 1/8 = -1 1/8
2 units of standard deviation BELOW the mean = -1 - 1/8 - 1/8 = -1 2/8
2 units of standard deviation BELOW the mean = -1 - 1/8 - 1/8 - 1/8 = -1 3/8
1 unit of standard deviation ABOVE the mean = -1 + 1/8 = -7/8
2 units of standard deviation ABOVE the mean = -1 + 1/8 + 1/8= -6/8
3 units of standard deviation ABOVE the mean = -1 + 1/8 + 1/8 + 1/8= -5/8
So, all values from -1 3/8 to -5/8 are within 3 standard deviations of the mean.
Within this range, there is only 1 integer value: -1
Answer:C
Question: What is the value of 26^2 + 27^2 + 28^2 + 29^2 + 30^2 + 31^2 + 32^2 + 33^2+ 34^2?
A.8160
B.8108
C.8118
D.8128
Answer: A.8160
Explanation: This is what I did, all the nos are close to 30, and squared, so 30^2 plus there are 9 numbers, so (30)^2 x 9 =8100,
now squaring the last digits of each no individually comes up to (16+9+4+1+0+1+4+9+16) = 60.
when you add the 2 up it gives you a (8100+60) =8160,
Answer is A
Question: In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?
A.8 sec
B.7 sec
C.5 sec
D.6 sec
Answer: C.5 sec
Explanation: T = 50/36 * 18/5
= 5 sec
Answer:C
Question: The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?
A.Rs. 420000
B.Rs. 180000
C.Rs. 201600
D.Rs. 504000
Answer: D.Rs. 504000
Explanation: B's monthly income = 15000 * 112/100 = Rs. 16800
B's monthly income = 2 parts ----> Rs. 16800
A's monthly income = 5 parts = 5/2 * 16800 = Rs. 42000
A's annual income = Rs. 42000 * 12 = Rs. 504000
ANSWER:D
Question: A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 5.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
A.16.5%
B.20%
C.35%
D.55%
Answer: B.20%
Explanation: The amount by which employment costs rose is equal to 0.035(salary costs + fringe benefit costs);
On the other hand the amount by which employment costs rose is equal to 0.03*salary costs + 0.055*fringe benefit costs;
So, 35(S+F)=30S+55F --> S=4F --> F/S=1/4 --> F/(S+F)=1/(1+4)=1/5=0.2.
Answer: B.
Question: Abhinav and Bhupathi together have Rs. 1210. If 4/15 of Abhinav's amount is equal to 2/5 of Bhupathi's amount, how much amount does Bhupathi have?
A.Rs 460
B.Rs 484
C.Rs 550
D.Rs 664
Answer: B.Rs 484
Explanation: Explanation :
Let A = Abhinav, B = Bhupathi.
4/15A=2/5B
=> A=(2/515/4)B
=> A=3/2B
=> A/B=3/2
=> A : B = 3:2
B's share = Rs. (12102/5)= Rs. 484.
Answer : B
Question: Reduce
368575
to the lowest terms
A.3025
B.2829
C.2829
D.1625
Answer: D.1625
Explanation: Explanation:
We can do it easily by in two steps
Step1: We get the HCF of 368 and 575 which is 23
Step2: Divide both by 23, we will get the answer 16/25
Answer: Option D
Question: On a journey across Bombay, a tourist bus averages 10 km/h for 20% of the distance, 30 km/h for 60% of it and 20 km/h for the remainder. The average speed for the whole journey was
A.10 km/h
B.30 km/h
C.5 km/h
D.20 kilometre per hour
Answer: D.20 kilometre per hour
Explanation: Let the average speed be x km/h.
and Total distance = y km. Then,
0.2⁄10y + 0.6⁄30y + 0.2⁄20y = y⁄x
⇒ x = 1⁄0.05 = 20 km/h
Answer D
Question: Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
A.65 years
B.35 years
C.55 years
D.44 years
Answer: B.35 years
Explanation: Let A's age 10 years ago = x years.
Then, B's age 10 years ago = 2x years.
(x + 10) / (2x+ lO) = 3/4
=> x = 5.
So, the total of their present ages =(x + 10 + 2x + 10)
= (3x + 20) = 35 years.
Answer: B
Question: Given the two equations 5r - 5s = 15 and 2r - 2s = 6, by how much does r exceed s?
A.3
B.2
C.11
D.4
Answer: A.3
Explanation: Solve by Simultaneous Equations.
My Answer is A.
r=6
s=3
Question: The unit digit in the product 1258*6754*4512*9783 is?
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: Unit digit in the given product = unit digit in 8*4*2*3 = 2
Answer is C
Question: A bowl contains pecans, cashews, and almonds in a ratio of 11 : 20 : 30, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl? i. 1 : 2 : 3 ii. 2 : 3 : 4 iii. 4 : 7 : 10
A.I,III only
B.I only
C.III only
D.II only
Answer: B.I only
Explanation: i. The ratio 2 : 3 is the same as the given ratio 20 : 30. If one pecan were removed, the new ratio would be 10 : 20 : 30, or 1 : 2 : 3.
ii. None of the nuts currently have a ratio of 3 : 4. The cashews and almonds do have a ratio of 2 : 3, but there are not enough pecans in the bowl to complete the ratio.
iii. The ratio 4 : 10 is the same as the given ratio 6 : 15. To see this, multiply the ratio by 3/2 . The new ratio is 6 : 10.5 : 15. Unfortunately, this means that there are fewer cashews that this ratio would require. Removing cashews won’t create the desired ratio.
Answer : B
Question: John distributes his pencil among his 4friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 : 1/4 : 1/5 . What is the minimum no. of pencils that the person should have?
A.56
B.65
C.75
D.77
Answer: D.77
Explanation: Rakesh : Rahul : Ranjan : Rohit = 1 / 2 : 1 / 3 : 1 / 4 : 1 / 5
Step 1: At First we need to do is LCM of 2,3,4 and 5 is 60.
Step 2: Then pencil are distributed in ratio among friends,
Rakesh = ( 1 / 2 x 60 ) = 30.
Rahul = ( 1 / 3 x 60 ) = 20.
Ranjan = ( 1 / 4 x 60 ) = 15.
Rohit = ( 1 / 5 x 60 ) = 12.
Step 3: Total number of pencils are ( 30 x + 20 x + 15 x + 12 x) = 77 x.
For minimum number of pencils x = 1 .
The person should have atleast 77 pencils.
D)
Question: For any number z, z* is defined as the greatest positive even integer less than or equal to z. What is the value of 5.2 – 5.2*?
A.0.2
B.1.2
C.1.8
D.2.2
Answer: B.1.2
Explanation: Since z* is defined as the greatest positive even integer less than or equal to z, then 5.2* = 4 (the greatest positive even integer less than or equal to 5.2 is 4).
Hence, 5.2 – 5.2* = 5.2 - 4 = 1.2
Answer: B.
Question: The average age of a group of persons going for picnic is years. Twenty 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.20
D.40
Answer: C.20
Explanation: Solution
Let the initial number of persons be x. Then
16x + 20 x 15 = 15.5(x+20)
= 0.5x = 10
x = 20.
Answer C
Question: What is the compound interest paid on a sum of Rs.3000 for the period of 2 years at 10% per annum.
A.630
B.620
C.610
D.600
Answer: A.630
Explanation: Solution= Interest % for 1st year= 10
Interest % for 2nd year= 10+ 10% of 10= 10+ 10 *10/100=11
Total % of interest= 10 + 11=21
Total interest = 21 % 3000= 3000 * (21/100)= 630
Answer A
Question: A pair of articles was bought for $50 at a discount of 50%. What must be the marked price of each of the article?
A.$25
B.$12.50
C.$29.65
D.$35.95
Answer: B.$12.50
Explanation: S.P. of each of the article = 50/2 = $25
Let M.P = $x
50% of x = 25
x = 25*.5 =$12.50
Answer is B
Question: The G.C.D. of 1.08, 0.36 and 0.9 is?
A.0.03
B.0.9
C.0.18
D.0.108
Answer: C.0.18
Explanation: Given numbers are 1.08,0.36 and 0.90.
H.C.F of 108, 36 and 90 is 18
H.C.F of given numbers=0.18.
Correct Options:C
Question: A certain no. when divided by 35leaves a remainder 25, what is the remainder if the same no.be divided by 15?
A.3
B.4
C.6
D.8
Answer: B.4
Explanation: Explanation:
35 + 25 = 60/15 = 4 (Remainder)
B
Question: x^2 + qx + 72 = 0 has two distinct integer roots; how many values are possible for q?
A.3
B.6
C.8
D.12
Answer: D.12
Explanation: For a quadratic equation ax^2+qx+c=0, we know that -q/a is sum of roots and c/a is product of roots.
The quadratic equation here is x^2 + qx + 72 = 0, where product of roots is 72.
If we find all the factors of 72, we have the answer.
By prime factorization, we get 72= 2^3*3^2.
We know that total factors are (3+1)*(2+1) = 12 (Reason: with 2^n, we have n+1 possibilities. n^0 to n^n. so n+1)=D
Question: A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
A.22
B.24
C.77
D.26
Answer: B.24
Explanation: Explanation:
Let the ten's and unit's digit be x and 8/x respectively.
Then,
(10x + 8/x) + 18 = 10 * 8/x + x
9x2 + 18x - 72 = 0
x2 + 2x - 8 = 0
(x + 4)(x - 2) = 0
x = 2
So, ten's digit = 2 and unit's digit = 4.
Hence, required number = 24.
Answer: B
Question: speed of a bus is 54kmph and including stoppages, it is 45kmph. For how many minsdoes the bus stop per hour?
A.10 min
B.20 min
C.25 min
D.30 min
Answer: A.10 min
Explanation: speed of the bus excluding stoppages = 54 kmph
speed of the bus including stoppages = 45 kmph
Loss in speed when including stoppages = 54 - 45 = 9kmph
=> In 1 hour, bus covers 9 km less due to stoppages
Hence, time that the bus stop per hour = time taken to cover 9 km
=distancespeed=954 hour=16 hour = 606 min=10 min
A
Question: Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $35.19. How much did the meal cost without the tip?
A.$28.98
B.$29.91
C.$30.15
D.$30.60
Answer: D.$30.60
Explanation: The tip is a percent increase of 15%, which is 115%. Let x equal the price before the tip.
Thus, 115% of this price equals $35.19:
1.15x = 35.19
Divide both sides by 1.15:=>x=35.19/1.15=30.60
correct answer D)$30.60
Question: A rocket soars for 12 seconds at 150 meters per second. It then plummets 600 meters in 3 seconds. What is the average speed of the rocket in meters per second?
A.140
B.150
C.155
D.160
Answer: D.160
Explanation: When soaring, the rocket travels a total distance of 1800m(150m/s for 12s)
While plummeting the rockets travel distance of 600m in 3s
The total distance traveled is 2400m(1800 + 600)
The time taken to travel this distance is 15s(12 + 3)
Average speed = 2400/15 = 160
ANS: (Option D)
Question: 12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.
A.360
B.384
C.432
D.470
Answer: B.384
Explanation: First of all, I think the question means that "the chairs numbered 1 AND 8 should be occupied".
So, we have that the chairs numbered 1 AND 8 should be occupied and no two adjacent chairs must be occupied. Notice that chairs #2, 7, and 9 cannot be occupied by any of the men (because no two adjacent chairs must be occupied.).
1-2-3-4-5-6-7-8-9-10-11-12
If the third man occupy chair #3, then the fourth man has 5 options: 5, 6, 10, 11, or 12;
If the third man occupy chair #4, then the fourth man has 4 options: 6, 10, 11, or 12;
If the third man occupy chair #5, then the fourth man has 3 options: 10, 11, or 12;
If the third man occupy chair #6, then the fourth man has 3 options: 10, 11, or 12;
If the third man occupy chair #10, then the fourth man has 1 options: 12.
Total of 5+4+3+3+1=16 cases. For each case the 4 men can be arranged in 4! ways, thus the total number of arrangements is 16*4!=384.
Answer: B.
Question: Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes K, each draining water at the same constant rate, will be needed to drain the pool in 4 days?
A. 6
B. 9
C. 10
D. 12
Answer: C. 10
Explanation: This is an inverse proportional problem......
5 pipes in 12 days; So for 4 days, it will be = 12 x 5 / 4 = 15
So, K=15-5 = 10.C
Question: a 50 is divided in two parts in such a way its reciprocal is 1/12.find the no?
A.20,30
B.20,40
C.20,10
D.30,10
Answer: A.20,30
Explanation: 1/x + 1/(50-x) = 1/12
=> (x^2-50x+600) = 0
=> (x-20)(x-30) = 0
=> x = 20,30
numbers are 20,30.
ANSWER:A
Question: If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ?
A.4x + 6y
B.x + y + 4
C.4x - 9y
D.9x + 4y
Answer: C.4x - 9y
Explanation: By hit and trial, we put x = 5 and y = 1 so that (3x + 7y) = (3 x 5 + 7 x 1) = 22, which is divisible by 11.
(4x + 6y) = ( 4 x 5 + 6 x 1) = 26, which is not divisible by 11;
(x + y + 4 ) = (5 + 1 + 4) = 10, which is not divisible by 11;
(9x + 4y) = (9 x 5 + 4 x 1) = 49, which is not divisible by 11;
(4x - 9y) = (4 x 5 - 9 x 1) = 11, which is divisible by 11.
correct answer C
Question: In the graph below, no axes or origin is shown. If point B's coordinates are (10,4), which of the following coordinates would most likely be A's?
A.(17, -2)
B.(10, 6)
C.(6, 8)
D.(-10, 3)
Answer: B.(10, 6)
Explanation: wherever be the axis as per question y coordinate of point A will be greater than 3 and X coordinate will be lower than 10.
B rules..
Question: A man buys an article and sells it at a profit of 10%. If he had bought it at 10% less and sold it for Rs.55 less, he could have gained 15%. What is the cost price?
A.197
B.375
C.846
D.278
Answer: C.846
Explanation: CP1 = 100 SP1 = 110
CP2 = 90 SP2 = 90 * (115/100) = 103.5
6.5 ----- 100
55 ----- ? => 846
Answer:C
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 3000 more than D, what is B's share?
A.A)8239
B.B)2900
C.C)6000
D.D)2393
Answer: C.C)6000
Explanation: Let the shares of A, B, C and D be 5x, 2x, 4x and 3x Rs. respectively.
Then, 4x - 3x = 3000 => x = 3000.
B's share = Rs. 2x = 2 * 3000 = Rs. 6000.
Answer: C
Question: If 1/8 of a pencil is black ½ of the remaining is white and the remaining 3 ½ is blue find the total length of the pencil?
A.9
B.5
C.7
D.8
Answer: D.8
Explanation: Let the total length be xm
Then black part =x/8cm
The remaining part=(x-x/8)cm=7x/8cm
White part=(1/2 *7x/8)=7x/16 cm
Remaining part=(7x/8-7x/16)=7x/16cm
7x/16=7/2
x=8cm
Answer is D.
Question: The volume of a cube is 3375 cc. Find its surface.
A.1350
B.1150
C.1456
D.1254
Answer: A.1350
Explanation: a3 = 3375 => a = 156a2 = 6 * 15 * 15 = 1350Answer: A
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
A.1.5
B.1.8
C.1.2
D.1.1
Answer: A.1.5
Explanation: 72 --- 9 DS = 8
? ---- 1
45 ---- 9 US = 5
? ---- 1 S = ?
S = (8 - 5)/2 = 1.5
Answer:A
Question: (1/3) of a number is 5 more than the (1/6) of the same number? find the no.
A.6
B.36
C.30
D.72
Answer: C.30
Explanation: x/3=5+x/6
x/3-x/6=5
x/6=5
x=30
ANSWER:C
Question: The product of a positive integer x and 377,910 is divisible by 3,300, then the least value of x is:
A.10
B.11
C.55
D.110
Answer: D.110
Explanation: 377,910 = 3 * 3 * 10 * 4199
3,310 = 3 * 10 *10 * 11
So, x must have 10 and 11 as factors.
--> Least value of x is 110.
Answer:D
Question: A wheel of a car of radius 21 cms is rotating at 400 RPM. What is the speed of the car in km/hr?
A.79.2 km/hr
B.47.52 km/hr
C.7.92 km/hr
D.31.68 km/hr
Answer: D.31.68 km/hr
Explanation: Explanatory Answer
The radius of the wheel measures 21 cm.
In one rotation, the wheel will cover a distance which is equal to the circumference of the wheel.
∴ in one rotation this wheel will cover 2 * π * 21 = 132 cm.
In a minute, the distance covered by the wheel = circumference of the wheel * rpm
∴ this wheel will cover a distance of 132 * 400 = 52800 cm in a minute.
In an hour, the wheel will cover a distance of 52600 * 60 = 3168000 cm.
Therefore, the speed of the car = 3168000 cm/hr = 31.68 km/hr
Choice D is the correct answer.
Question: If 2.5 of a number is equal to 0.75 of another number, the ratio of the numbers is :
A.2 :3
B.3 :4
C.3:10
D.20 : 3
Answer: C.3:10
Explanation: 2.5A = 0.75B
-> A/B = 0.75/2.5 = 75/250 = 3/10
:. A : B = 3 : 10
ANSWER:C
Question: If 15 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
A.127
B.240
C.287
D.450
Answer: B.240
Explanation: Explanation:
Let the required no of hectares be x. Then
Men --- Hectares---Days
15---------80---------24
36---------x---------30
More men, More hectares (Direct proportion)
More days, More hectares (Direct proportion)
x=36/15*30/24*80
x= 240
Answer: B
Question: A case contains c cartons. Each carton contains b boxes, and each box contains 600 paper clips. How many paper clips are contained in 2 cases?
A.600bc
B.600b/c
C.1200bc
D.1200b/c
Answer: C.1200bc
Explanation: 2 cases * c cartons/case * b boxes/carton * 600 clips/box = 1200bc paper clips
The answer is C.
Question: One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
A.1/13
B.3/13
C.1/4
D.9/52
Answer: B.3/13
Explanation: there are only 4 jack in 52 cards so selecting 1 is done in 4c1=4
4 queens selecting 1 is done in 4c1=4
4 kings selecting 1 is done in 4c1=4
total selecting 1 card from 52 cards is 52c1
4+4+4/52
12/52
3/13
ANSWER:B
Question: Suraj has a certain average of runs for 14 innings. In the 15th innings he scores 140 runs thereby increasing his average by 8 runs. What is his average after the 15th innings?
A.48
B.28
C.36
D.72
Answer: B.28
Explanation: To improve his average by 8 runs per innings he has to contribute 14 x 8 = 112 runs for the previous 14 innings.
Thus, the average after the 15th innings
= 140 - 112 = 28.
ANSWER:B
Question: Total natural no. from 11 to 90 which is divisible 7.
A.9
B.10
C.11
D.12
Answer: C.11
Explanation: these no. are 14,21,28,35,...,84.
these are in a.p series where a=14,d=(21-14)=7,l=84
let these no. are n
nth no. =a+(n-1)d=14+(n-1)*7=(7n+7)
7n+7=84,n=11.
answer C
Question: When 17 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: This means that 14 must be a multiple of k.
The factors of 14 are 1, 2, 7, and 14.
Out of these, k can be 7 and 14.
The answer is B.
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 123 hours, it must travel at a speed of:
A.234
B.377
C.720
D.378
Answer: D.378
Explanation: Speed and time are inversely proportional ⇒Speed ∝ 1Time (when distance is constant)
Here distance is constant and Speed and time are inversely proportionalSpeed ∝ 1Time⇒Speed1Speed2=Time2Time1⇒240Speed2=(123)5⇒240Speed2=(53)5⇒240Speed2=13⇒Speed2=240×3
=720 km/hr
Answer : D
Question: What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum ?
A.Rs. 112
B.Rs. 118.80
C.Rs. 120
D.Rs. 122
Answer: C.Rs. 120
Explanation: Solution
Let the present worth be Rs. x. Then, S.I. = Rs. (132 - x).
∴ (x 5 x 2 /100)=132 - x =10x = 13200 - 100x= 110x = 13200 = x = 120.
Answer C
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
A.150
B.180
C.190
D.170
Answer: A.150
Explanation: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter
Answer: Option A
Question: If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is
A.289
B.231
C.200
D.288
Answer: C.200
Explanation: Explanation:
Let C.P. be Rs. x.
Then, 5% of x = 350 - 340 = 10
x/20 = 10 => x = 200
Answer: C
Question: The sum of 1 hours 45 minutes and 2 hours 55 minutes is approximately what percent of a day?
A.5%
B.10%
C.15%
D.20%
Answer: D.20%
Explanation: Since the question is asking for an approximate percentage
1:45+2:55 ~ 5 hours
% of day = 5*100/24 ~ 5*100/25= 20%
Answer is D.
Question: 15! is equal to which of the following?
A.1,307,674,368,000
B.1,307,674,368,242
C.1,307,674,368,356
D.1,307,674,368,825
Answer: A.1,307,674,368,000
Explanation: After 4!, the units digit of every factorial is 0.
5!=120
6!=720
etc...
The answer is A.
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.400 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
A.3999
B.7799
C.2500
D.5000
Answer: D.5000
Explanation: A:B:C = 2/3:1/6:1/6 = 4:1:1
x * 2/100 * 2/3 = 400
B capital = 30000*1/6 = 5000.Answer: D
Question: Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid, approximately how many liters of the 2 percent solution will be required?
A.18
B.12
C.24
D.36
Answer: B.12
Explanation: let a=amount of 2% acid and b= amount of 12% acid.
Now, The equation translates to,
0.02a + .12b = .1(a+b)
but a+b= 60
therefore .02a + .12b = .1(60)
=> 2a + 12b = 600
but b=60-a
therefore
2a+ 12(60-a) = 600
=> 10a = 120
hence a = 12.
Answer : B
Question: Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 50 litres of tomato juice?
A.2.8 liters.
B.2.5 liters.
C.8.5 liters.
D.6.25 liters.
Answer: D.6.25 liters.
Explanation: Answer:
Explanation:
In each of the solutions, there is a pure tomato component and some water. So while boiling, water evaporates but tomato not. So we equate tomato part in the both equations.
â‡’â‡’ 10%(50) = 80%(x)
â‡’â‡’ x = 6.25 liters.
Answer:D
Question: Out of 15 students in a class, 8 are wearing blue shirts, 4 are wearing green shirts, and 3 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt?
A.39/61
B.49/71
C.59/81
D.69/91
Answer: D.69/91
Explanation: Total possible ways to choose 4 students out of 15 = 15C4 = 1365
The number of ways to choose 4 students with no green shirts = 11C4 = 330
P(no green shirts) = 330/1365 = 22/91
P(at least 1 green shirt) = 1 - 22/91 = 69/91
The answer is D.