RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements are possible?
A.30
B.60
C.90
D.180
Answer: C.90
Explanation: Ways of selecting group = 6C2 * 4C2 * 2C2 / 3! = 15
Three groups can select three subjects in 6 ways
Therefore total combinations = 15*6 = 90
ANSWER:C
Question: The compound ratio of 1:2, 3:2 and 4:5?
A.1:9
B.1:7
C.1:2
D.3:5
Answer: D.3:5
Explanation: 1/2 * 3/2 * 4/5
= 3/5
=3:5
Answer: D
Question: For all integers a and b, a%b = (a + b)(a - b). If 10%x = 19, then which of the following could be a value of x?
A.-9
B.-8
C.2
D.3
Answer: A.-9
Explanation: 10%x = (10+x)(10-x)
100-x^2 = 19
x^2 = 81
x=-9,9
Ans: A
Question: A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
A.28.9
B.28.7
C.28.2
D.28.8
Answer: D.28.8
Explanation: Present age of the son be P, he was born P years ago.
The age of the man was: (48 - P).
His age when the son was born should be equal to 2/3 of P.
(48 - P) = 2/3 P
5P = 144 => P = 28.8.Answer: D
Question: In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 320 vote’s majority. What is the total number of votes polled?
A.750
B.700
C.800
D.850
Answer: C.800
Explanation: Explanation:
Note: majority (40 %) = difference in votes polled to win (70 %) & defeated candidates (30 %)
40 % = 70 % - 30 %
40% -----> 320 (40*8 = 320)
100% -----> 800 (100*8 = 800)
Answer: Option C
Question: According to a recent survey report issued by the Commerce Ministry, Government of India, 30% of the total FDI goes to Gujarat and 20% of this goes to rural areas. If the FDI in Gujarat, which goes to urban areas, is $72 m, then find the size of FDI in rural Andhra Pradesh, which attracts 50% of the FDI that comes to Andhra Pradesh, which accounts For 20% of the total FDI?
A.30m
B.40m
C.35m
D.38m
Answer: A.30m
Explanation: 30% of total FDI given to Gujarat is $90m.
so,100% is $300m.
20%of 300m=60m.
50%of 60m=30m.
ANSWER:A
Question: How many of the factors of 1000 are divisible by 2?
A.5
B.6
C.8
D.12
Answer: D.12
Explanation: 1000 = 2^3*5^3
The total number of factors is (3+1)(3+1) = 16
The odd factors are 1, 5, 25, and 125.
The number of even factors is 16-4 = 12
The answer is D.
Question: The average of 11 numbers is 22. Average of the first 6 of them is 19 and that of the last 6 is 27. Find the 6th number?
A.12
B.25
C.34
D.29
Answer: C.34
Explanation: Sum of all the 11 numbers = 11 * 22 = 242Sum of the first 6 of them = 6 * 19 = 114Sum of the last 6 of them = 6 * 27 = 162So, the 8th number = 242 + 114 - 162= 34.Answer: C
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.8 1/7 %
B.2 1/3 %
C.8 1/3 %
D.8 1/8 %
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: If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2016) = ?
A.2017
B.2088
C.270
D.1881
Answer: A.2017
Explanation: f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1 = 2, f(1) = 2
f(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2) = 5-2 = 3, f(2) = 3
f(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(3) = 7-3 = 4, f(3) = 4
..............
f(2016) = 2017
Ans: A
Question: What is the difference between the C.I. on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
A.Rs. 2.04
B.Rs. 2.02
C.Rs. 2.10
D.Rs. 2.11
Answer: A.Rs. 2.04
Explanation: Explanation:
C.I. when interest is compounded yearly
= [5000 * (1 + 4/100) * (1 + (1/2 * 4)/100]
= 5000 * 26/25 * 51/50 = Rs. 5304
C.I. when interest is compounded half-yearly
= [5000 * (1 + 2/100)2]
= (5000 * 51/50 * 51/50 * 51/50) = Rs. 5306.04 Difference = (5306.04 - 5304) = Rs. 2.04.
Answer: A
Question: There are 4 copies of 5 different jeans. In how many ways can they be arranged on a shelf?
A.20!/4!
B.20!/5(4!)
C.20!/(4!)^5
D.20!
Answer: C.20!/(4!)^5
Explanation: There are 4 copies of 5 different jeans.20!/((4!)^5)
Answer - C
Question: What will be the compound interest on a sum of Rs. 24,000 after 3 years at the rate of 12% p.a.?
A.Rs. 9718.27
B.Rs. 9750
C.Rs. 10123.20
D.Rs. 10483.20
Answer: A.Rs. 9718.27
Explanation: Amount = [24000 * (1 + 12/100)3]
= 24000 * 28/25 * 28/25 * 28/25 = Rs. 33718.27
C.I. = (33718.27 - 24000) = Rs. 9718.27
ANSWER:A
Question: In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 30 different models of televisions, what is the minimum number of letters that must be used to make the codes?
A.6
B.7
C.8
D.9
Answer: A.6
Explanation: If n is the number of distinct letters used to create the two lettered codes, then a total of n∗n=n^2 different codes can be created. We need n2≥30. The smallest n which fulfills this condition is n = 6.
Answer A
Question: The approximation of √0.8-√0.1 is between?
A.1/5 and 1/4
B.1/4 and 1/3
C.1/3 and 1/2
D.1/2 and 2/3
Answer: D.1/2 and 2/3
Explanation: √(0.8 )– √0.1
Let’s square this expression: 0.8 + 2√0.08 + 0.1 = 9/10+(4√2)/10
√2 is approximately 1.4 and we have (9-5,6)/10=3,4/10=34/100
Now take root of this: √(34/100)
√34 is close to 6 and our expression lies between 1/2 and 3/5
3/5 = 0.6 < 2/3 (0.66666…)
Answer D
Question: A group of 5 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the four other students from the group?
A.5%
B.10%
C.15%
D.20%
Answer: B.10%
Explanation: Bob and Lisa are students too. Given the above conditions, there are 2 possible seating arrangments:
scenario 1: LXXXB or
scenario 2: BXXXL
there are 5(4)3(2)1 = 120 total seating arrangements. in scenario 1, bob must be seated on the far right and lisa on the far left. this leaves 6 different possible seating arrangements among the other 3 students: 3(2)1 = 6. 6/120 = 1/20.
the prob of scenario 2 happening is also 1/20. either scenario 1 or 2 will occur so we sum the probs of 1 or 2 happening, 1/20 + 1/20 + 2/20 = 1/10 = .10.
answer is B.
Question: A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3000, A will get:
A.Rs.1200
B.Rs.1500
C.Rs. 1800
D.Rs.2000
Answer: C.Rs. 1800
Explanation: Explanation:
Ratio of working days of A : B = 10 : 15
Therefore, their wages ratio = reverse ratio = 15 : 10
Therefore, A will get 15 units of ratio
Total ratio = 25
1 unit of ratio =3000/25 = 120
So, A’s amount = 120 × 15 = Rs.1800.
Answer: Option C
Question: A carnival card game gives the contestant a one in three probability of successfully choosing the right card and thereby winning the game. If a contestant plays the game repeatedly, what is the minimum number of times that he must play the game so that the probability that he never loses is less than 1%?
A.3
B.4
C.5
D.6
Answer: C.5
Explanation: Probability of Choosing Right card hence winning = 1/3
i.e. Probability of NOT Choosing Right card hence Losing = 2/3
We want that the probability that he never loses should be < 1%
i.e. We want that the probability that he never loses should be < 1/100
The probability of him losing can be calculated by taking the case that the right card is never picked
i.e. Probability of first card being the Right card = (1/3)
i.e. Probability of first as well as second card NOT being the Right card = (1/3)*(1/3)
i.e. i.e. Probability of all n attempts being the Right card (i.e. Never Losing) = (1/3)^n
and (1/3)^n<1/100
But(1/3)^4=1/81
And (1/3)^5=1/243
i.e. (1/3)^5<1/100
i.e. Minimum value of 'n' can be = 5
Answer:C
Question: A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:
A.240
B.120
C.300
D.160
Answer: A.240
Explanation: Let C's share = Rs. x
Then, B's share = Rs.	x/4,
A's share = Rs.(2/3)	x (x/4)= Rs.x/6
(x/6)	+(x/4)+ x = 1360
17x/12= 1360
x =1360 x (12/17)= Rs. 960
Hence, B's share = Rs.960/4= Rs. 240.
Answer is A.
Question: Combine terms: 5a + 26b -4b – 16a.
A.4a + 22b
B.-28a + 30b
C.-11a + 22b
D.28a + 30b
Answer: C.-11a + 22b
Explanation: Solution:
5a + 26b -4b – 16a.
= 5a – 16a + 26b – 4b.
= -11a + 22b.
Answer: (C)
Question: Mohit sold an article for Rs. 18000. Had he offered a discount of 13% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
A.14500
B.27767
C.16688
D.26678
Answer: A.14500
Explanation: Let the CP be Rs. x.
Had he offered 13% discount, profit = 8%
Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 13/100(18000) = Rs. 15660
=> 1.08x = 15660
=> x = 14500
\Answer: A
Question: If -5 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy?
A.-42 < xy < 30
B.-42 < xy < 24
C.-28 < xy < 18
D.-24 < xy < 21
Answer: A.-42 < xy < 30
Explanation: The least value of xy is a bit more than 7*(-6)=-42 and the largest value of xy is a bit less than (-5)*(-6)=30.
Therefore -42 < xy < 30.
Answer: A.
Question: To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of R dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of the lunch is completely paid?
A.R/T
B.R/(T-S)
C.SR/(T-S)
D.SR/T(T-S)
Answer: D.SR/T(T-S)
Explanation: Since no absolute values are given in the question we can replace the given parameters with assumed numbers,
Let Total colleagues be 100 (T)
Let total contribution be 500 (R) (point to note is that its total cost not per person)
Those who dont pay are S (30)
Per person cost = R/T = 800/100 = 8
So cost for those who failed to pay = (R/T) * S = SR/T = 30*8=240
The equation for people who would bear the total cost after S people fail = (T-S)=70
There fore the solution is (SR/T)/ (T-S) = SR/T(T-S) = 240/70
Answer D
Hope this helps !!!
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
A.79.5
B.79.0
C.79.3
D.79.2
Answer: D.79.2
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/20 = y
y = 22
Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.Answer:D
Question: To save money, Arkadelphia ice cream will reduce each dimension of its rectangular box container (which is entirely full of ce cream) by 50%, and reduce the price it charges its consumers by 50% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for ce cream?
A.1. No change
B.2. 50%
C.3. 300%
D.4. 400%
Answer: C.3. 300%
Explanation: If the current volume is L * W * H, then the new volume is 12 (L) * 12 (W) * 12 (H), or 18 * LWH. So the new portion is 1/8 the size of the old portion. But the new cost is only ½ the cost, meaning that if the old price-per-unit was 1:1, now it’s 12 : 18, or 4:1. So the consumer is paying 400% of what it used to, or 300% more than it used to. The answer is therefore C.
Question: A is two years older than B who is twice as old as C.If the total ages of A,B and c be 27 . what is the age of B?
A.12 years
B.10 years
C.8 years
D.14 years
Answer: B.10 years
Explanation: c age x,
then b age is 2x
so a age is 2x+2.
(2x+2)+2x+x=27
5x=25
x=5
so b is 2x=2(5)
2x5= 10 ANSWER : B
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 36 per kg. His profit percent is:
A.No profit, no loss
B.26%
C.8%
D.10%
Answer: B.26%
Explanation: Explanation :
C.P. of 56 kg rice = (26 * 20 + 30 * 36) Rs. = (520 + 1080) Rs. = 1600 Rs.
S.P. of 56 kg rice = (56 * 36) Rs. = 2016 Rs.
Profit % = (2016−1600/1600∗100)% = 26%
Answer : B
Question: If a person walks at 15 km/hr instead of 10 km/hr, he would have walked 15 km more. The actual distance traveled by him is?
A.30
B.50
C.15
D.12
Answer: A.30
Explanation: Let the actual distance traveled be x km. Then,
x/10 = (x + 15)/15
x - 30=>x = 30km.
Answer: A
Question: Let d > c >e > a. If c is twice as far from a as it is from d, and e is twice as far from c as it is from a, then (d - e)/(d - a) = ?
A.2/9
B.1/3
C.2/3
D.7/9
Answer: D.7/9
Explanation: Draw a number line and label with x and y. You would have:
Before calculating recognize it would be more effcient to express x or y in terms of the other. here 2x = 3y so x =3/2 y.
Now you can calculate d -e and d -a
d - e= x +2y = 7/2 y
d - a = x + 2x = 3x = 9/2y
Dividing both you get: 7/9
Answer D
Question: 2 cow’s and 5 goats are brought for Rs.1050. If the average price of a goat be Rs.90. What is the average price of a cow.
A.300
B.320
C.330
D.350
Answer: A.300
Explanation: Explanation:
Average price of a goat = Rs.90
total price of 5 goats = 5*90 = Rs.450
But total price of 2 cows and 5 goats = Rs. 1050
Total price of 2 cows is = 1050 - 450
= 600
Average price of a cow = 600/2
= Rs. 300
Answer: A
Question: How many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition is allowed?
A.511
B.519
C.515
D.512
Answer: D.512
Explanation: By divisibility rule of 4(Click here to know about the rule of divisibility ) only 12,24,32,44,52 are the numbers from 1 to 5 are divisible by 4.
So the remaining 11 digits can be any number from 1 to 5. So 511
Since there are 5 set of numbers we will get 5* 511 = 512 numbers divisible by 4.
Answer D
Question: What is the maximum number W of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?
A.36
B.32
C.24
D.21
Answer: C.24
Explanation: 27 cubic centimetre cubes gives side = 3cm
so if:
L*W*H is 9*12*8, then max. cube we can have are 3*4*2 = 24
L*W*H is 9*8*12, then max. cube we can have are 3*2*4 = 24
L*W*H is 12*8*9, then max. cube we can have are 4*2*3 = 24
L*W*H is 12*9*8, then max. cube we can have are 4*3*2 = 24
L*W*H is 8*12*9, then max. cube we can have are 2*4*3 = 24
L*W*H is 8*9*12, then max. cube we can have are 2*3*4 = 24
In all cases we get W=24 cubes.
Ans. C
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 50, the dividend is?
A.6300
B.6325
C.6330
D.6334
Answer: A.6300
Explanation: Divisor = (5 * 50) = 250
= 10 * Quotient = Divisor
=> Quotient = 250/10 = 25
Dividend = (Divisor * Quotient) + Remainder
Dividend = (250 * 25) + 50= 6330
A
Question: At Joes Steakhouse the hourly wage for a chef is 25% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour?
A.$1.40
B.$2.40
C.$3.40
D.$3.19
Answer: D.$3.19
Explanation: Manager wages per hour = $8.50
Dishwasher wages per hour = half of manager's wages. = 1/2($8.50) ==> $4.25
Chef wages per hour = 25% greater than Dishwasher wages
--> 25% of $4.25 = (25*($4.25)) /100
--> ($106.25)/100
--> $1.06
Therefore,
Chef wages per hour = $4.25 + $1.06 ==> $5.31
Difference of wages between manager and chef = $8.50 - $5.31 ==> $3.19
ANSWER:D
Question: The dimensions of a field are 20 m by 10 m. A pit 8 m long, 5 m wide and 2 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. What will be the rise in the height of field as a result of this operation ?
A.1 m
B.2 m
C.0.5 m
D.0.75 m
Answer: C.0.5 m
Explanation: The volume of the earth removed is 8*5*2 = 80 m^3.
The remaining area of the field is 20*10 - 8*5 = 160 m^2.
80 m^3 of the earth evenly spread over the area of 160 m^2 will rise the height by (height) = (volume)/(area) = 80/160 = 0.5 m.
Answer: C
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 4 days then the fraction of the work that is left is?
A.1/4
B.1/10
C.7/15
D.8/15
Answer: D.8/15
Explanation: Explanation:
A’s one day work = 1/15
B’s one day work = 1/20
(A+B )’s one day work is = 1/15 +1/20 = 7/60
their 4 days work = 4 x 7/60 = 7/15
Remaining work = 8/15
Answer: Option D
Question: The number 500 can be written as the sum of the squares of 2 different positive integers. What is the difference of these 2 integers?
A. 17
B. 16
C. 15
D. 18
Answer: D. 18
Explanation: 22^2 + 4^2 = 500 --> 22 - 4 = 18.
D
Question: In one day, Juan sends Keith eight times as many messages as he sends Laurence, and Laurence sends Missy 4.5 times as many messages as he receives from Juan. If Missy received 18 messages from Laurence, how many messages does Keith receive from Juan?
A.13
B.26
C.32
D.48
Answer: C.32
Explanation: Juan --> Laurence = x messages;
Juan --> Keith = 8x messages (Juan sends Keith eight times as many messages as he sends Laurence);
Laurence --> Missy = 4.5x =18 (Laurence sends Missy 4.5 times as many messages as he receives from Juan).
4.5x =18 --> x = 4 --> 8x = 32.
Answer: C.
Question: David mixed 10 kg of ghee at Rs. 200 per kg with 30 kg ghee at the rate of Rs. 100 per kg. At what price per kg should he sell the mixture to make a profit of 10% in the transaction?
A.Rs. 187.50
B.Rs. 147.50
C.Rs. 137.50
D.Rs. 127.50
Answer: C.Rs. 137.50
Explanation: Cost of Ghee = 10*200+ 30*100 /40 =5000/40 = 125
10% of 125 = 12.50
S.P. should be = 125+12.5= Rs. 137.50/ kg
Answer : C
Question: An athlete runs 200 metres race in 24 seconds. His speed is :
A.20 km/hr
B.24 km/hr
C.28.5 km/hr
D.30 km/hr
Answer: D.30 km/hr
Explanation: Speed = 200/24 m/sec=25/3 m/sec=(25/3*18/5)km/hr=30 km/hr.
Correct Option: D
Question: On a sum of money, simple interest for 2 years is Rs 660 and compound interest is Rs 696.30, the
rate of interest being the same in both cases.
A.8%
B.9%
C.10%
D.11%
Answer: D.11%
Explanation: Explanation:
Difference between C.I and S.I for 2 years = 36.30
S.I. for one year = 330.
S.I. on Rs 330 for one year = 36.30
So R% = \frac{100*36.30}{330*1} = 11%
Answer: D
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in.
A.16
B.12
C.18
D.15
Answer: B.12
Explanation: Explanation:
The part of the tank filled by three pipes in one hour = 1/8
=> The part of the tank filled by two pipes in 1 hour = 2/3 * 1/8 = 1/12.
The tank can be filled in 12 hours.
Answer:B
Question: What is the place value of 4 in the numeral 4259
A.4000
B.3000
C.2000
D.1000
Answer: A.4000
Explanation: 4* 1000 = 4000
ANSWER A
Question: The equation of line q is y = 4/3*x - 100. What is the smallest possible distance in the xy-plane from the point with coordinates (0, 0) to any point on line q?
A.48
B.50
C.60
D.75
Answer: C.60
Explanation: This can be solve in two steps and without any complex calculation.
Given : equation of line q as y=(4/3)x -100. So the line intercept the axes at (0,-100) and (75,0).
This can be considered a right angle triangle with right angle at (0,0) . So Base=100 , Height=75 and Hypotenuse =125 (By Pythagoras triplet)
So a perpendicular from the (0,0) to hypotenuse will be the answer.
Area of triangle= 0.5*100*75=0.5*125* x
=> x=60;
SO answer is 60=C
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
A.500
B.698
C.780
D.910
Answer: B.698
Explanation: Sol.
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs. (39 * 3) = Rs. 117.
∴ Principal = Rs. (815 - 117) = Rs. 698
Answer B
Question: What is the next number in 0, 1, 1, 3, 1, 3, 1, 3, 5?
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: C
1
As the series is 0, 1, 1, 3, 1, 3, 1, 3, 5....
It can clearly be observed that the sequence given is about the no of composite numbers between any two consecutive prime number.
That means all the no excluding the primes.
The series continues as 0, 1, 1, 3, 1, 3, 1, 3, 5,1,5,3,1,5,5,5,1,5.....
The answer to this question is 1
Question: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
A.7500
B.2776
C.8767
D.1997
Answer: A.7500
Explanation: 35%-----------L
65%-----------W
------------------
30%----------2250
100%---------? => 7500
Answer: A
Question: A man buys 1kg of sandalwood and 1kg of teakwood. He sells one for 10% profit and other for 10% loss. What is total profit/loss percentage?
A.1% loss
B.2% loss
C.3% loss
D.4% loss
Answer: A.1% loss
Explanation: if x is both the profit and loss % then it must be loss of x^2/100;
so 10*10/100=1;
1% loss
ANSWER:A
Question: A number has exactly 32 factors out of which 4 are not composite. Product of these 4 factors (which are not composite) is 30. How many such numbers W are possible?
A.2
B.4
C.6
D.3
Answer: C.6
Explanation: Firstly , we should note that 1 is NEITHER a prime nor a composite number.The first composite number is 4.Thus, when the problem states that there are 4 factors that are not composite, these nos are 1,2,3,5. Thus, the given number = 2^a*3^b*5^c. Also, (a+1)*(b+1)*(c+1) = 32. We can break down 32 into 3 integers as : 2*2*8 or 4*4*2
Also, the only possible combinations for a,b,c are : 3,3,1 OR 1,1,7. Thus, each combination has 3 possible orders and we have a total W of 6 possibilities.
C.
Question: The average age of 39 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
A.35 years
B.45 years
C.51 years
D.54 years
Answer: D.54 years
Explanation: Explanation:
Age of the teacher = (40 * 15 - 39 * 14) years = 54 years. Answer: D
Question: Jordan and Morgan appeared at an examination. Jordan secured 9 marks more than Morgan and his marks was 56% of the sum of their marks. The marks obtained by them are:
A.39,30
B.39,30
C.42,33
D.43,34
Answer: C.42,33
Explanation: Explanation :
Let their marks be (x + 9) and x.
Then, x + 9 =0.56 (x + 9 + x)
=>25(x + 9) = 14(2x + 9)
=>3x = 99
=>x = 33
So, their marks are 42 and 33.
Answer : C
Question: Anil does a work in 90 days, Bittu in 40 days and Chintu in 12 days. They work one after another for a day each, starting with Anil followed by Bittu and then by Chintu. If the total wages received are Rs 360 and Anil, Bittu, Chintu share them in the ratio of the work done, find their respective individual wages.
A.Rs 40, Rs 60 and Rs 260
B.Rs 36, Rs 81 and Rs 243
C.Rs 42, Rs 86 and Rs 232
D.Rs 38, Rs 88 and Rs 234
Answer: B.Rs 36, Rs 81 and Rs 243
Explanation: Let the total work done be 360 units.
Therefore, work done by Anil, Bittu and Chintu in single day are 4 units, 9 units and 30 units respectively.
Each of them working for 9 days Anil and Bittu will be able to complete 4 units and 9 units of their work on the 9th day but Chintu
will be doing remaining 3 units of work.
Hence, individual work done by them to complete the whole work is 36 units, 81 units and 243 units till the end of 9th day for each of them.
Thus, respective wages on the basis of work done is Rs 36, Rs 81 and Rs 243 respectively for Anil, Bittu and Chintu.
ANSWER:B
Question: A train 270 m long, running with a speed of 108 km / hr will pass a tree in
A.12 sec
B.9 sec
C.16 sec
D.20 sec
Answer: B.9 sec
Explanation: Sol.
Speed = (108 x 5/18) m/sec.
= 30 m / sec.
Time taken = (270 x 1/30) sec = 9 sec
Answer B
Question: The no.of seats in a cinema hall is decreased by 5%, the price on the ticket also 5%. What is the effect on the revenue collected..??
A.-10%
B.+2.5%
C.-9.75%
D.+10.5%
Answer: C.-9.75%
Explanation: this can be esily solved by assuming
assume 100 seats n 100/- per seat
total revenue if all seats full-10000
now reduced by 5%
seats-95 price per seat-95
95x95=9025
therefore
loss=(975/10000)100 = 9.75%
ANSWER:C
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A.8
B.9
C.7
D.5
Answer: A.8
Explanation: 80% --- 12
120% --- ?
80/120 * 12 = 8
Answer: A
Question: 26th January, 1996 was a Friday. What day of the week lies on 27th January, 1997?
A.Saturday
B.Sunday
C.Monday
D.Thursday
Answer: C.Monday
Explanation: SOLUTION :
The year 1996 was a leap year. Hence, it adds 3 odd days. As 26th January, 1996 was a Friday, 26th January, 1997 was a Sunday.
ANSWER IS C