RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A 6 litre sol is 40% alcohol .How many litres of pure alcohol must be added to produce a sol that is 50% alcohol ?
A.A.0.6
B.B.1.2
C.C.2.1
D.D.3
Answer: B.B.1.2
Explanation: 40% of 6 = 2.4
50% of 6 = 3
shortage is 0.6
so we need to have 0.6/50% to get 50% alcohol content.
= 1.2 B
Question: The fourth proportional to 5, 8, 15 is:
A.24
B.20
C.23
D.16
Answer: A.24
Explanation: Answer: Option A
Let the fourth proportional to 5, 8, 15 be x.
Then, 5 : 8 : 15 : x
5x = (8 x 15)
x =	(8 x 15) /5 = 24
Question: The greatest common factor of positive integers m and n is 15. What is the greatest common factor of (2m^2, 2n^2)?
A.15
B.30
C.150
D.450
Answer: D.450
Explanation: m = 15j and n = 15k, where the greatest common factor of j and k is 1.
2m^2 = 2*15*15*j^2 and 2n^2 = 2*15*15*k^2
The greatest common factor of 2m^2 and 2n^2 is 2*15*15 = 450
The answer is D.
Question: What number has a 5:1 ratio to the number 10?
A.11
B.50
C.17
D.12
Answer: B.50
Explanation: 5:1 = x: 10
x = 50
Answer: B
Question: In a dairy farm, 34 cows eat 34 bags of husk in 34 days. In how many days one cow will eat one bag of husk ?
A.34 days
B.40 days
C.46 days
D.50 days
Answer: A.34 days
Explanation: Explanation:
Less Cows, More days (Indirect Proportion)
Less bags, Less days (Direct Proportion)
[Cows1 34
Bags 34 1]::34:x
=>x∗34∗1=34∗1∗34
=>x=34
Option A
Question: It costs $2 for the first 1/5 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $12 per hour. If a certain customer uses the laundry machine for 2 hours and 15 minutes, how much will it cost him?
A.$25.
B.$26.
C.$29.
D.$30.
Answer: C.$29.
Explanation: 2 hrs 15 min = 135 min
First 12 min ------> $2
Time left is 135 min...
Now, 60 min costs $ 12
1 min costs $ 12/60
135 min costs $ 12/60*135 => $ 27
So, Total cost will be $27 + $2 => $ 29
Hence answer will be C
Question: x, y, and z are all unique numbers. If x is chosen randomly from the set {10, 11} and y and z are chosen randomly from the set {20, 21, 22, 23}, what is the probability that x and y are prime and z is not?
A.1/5
B.3/20
C.1/8
D.3/10
Answer: C.1/8
Explanation: P(x is prime) = 1/2
P(y is prime) = 1/4
If y is prime, then z is not prime since y and z are unique.
Then the probability is 1/2*1/4 = 1/8
The answer is C.
Question: Debini normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Debini averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?
A.135
B.105
C.95
D.75
Answer: D.75
Explanation: Debini normally drives to work in 45 minutes at an average speed of 40 miles per hour.
Use formula D = RT
Car:
T1: 45 min
R1: 40 mph
D1: [(40*45)/60] = 30 miles
Bike:
T1:?
R2: 12 - 16 mph
D2: 08*D1 = 24 miles
T1: [(24*60)/12] = 120 min (Only 12 mph speed yields an answer given in the choices)
Therefore, Deb has to leave 120 min - 45 min = 75 min early
ANSWER: D
Question: In 1985, 45 percent of a document storage facility's 60 customers were banks, and in 1987, 25 percent of its 144 customers were banks. What was the percent increase from 1985 to 1987 in the number of bank customers the facility had?
A.10.7%
B.20%
C.25%
D.33 1/3
Answer: D.33 1/3
Explanation: No of bank customers in 1985 = 60 x .45 = 27
No of bank customers in 1987 = 144 x .25 = 36
increase in % = 100 X 9/27 = 100/3 or 33 1/3
D is the correct answer
Question: A sum fetched total simple interest of 4016.25 at the rate of 12 p.c.p.a. in 5 years. What is the sum?
A.6693.75
B.8032.5
C.4462.5
D.8900
Answer: A.6693.75
Explanation: Let the sums be P.
Now, 60% of P = 4016.25
or, P = 6693.75
Answer A
Question: A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
A.121km
B.242km
C.224km
D.112km
Answer: C.224km
Explanation: Explanation:
Average Speed =2Ã—21Ã—24/21+24=22.4 km/hr
Total distance =22.4Ã—10=224 km
ANSWER IS C
Question: A train 70 m long, running with a speed of 63 km/hr will pass a tree in?
A.4 sec
B.16 sec
C.6 sec
D.20 sec
Answer: A.4 sec
Explanation: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 70 * 2/35 = 16 sec
ANSWER: A
Question: Simplify the following equation
[(p - q)2 - (p + q)2] / 4p = b/a
A.a b = q
B.q b = a
C.a q = b
D.a q = -b
Answer: D.a q = -b
Explanation: [(p - q)2 - (p + q)2] / 4p = b/a
=> [p2 + q2 - 2pq - (p2 + q2 + 2pq)] / 4p = b/a
=> - 4pq/4p = b/a
=> q = - b/a
=> a q = -b
ANSWER:D
Question: A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?
A.20/145
B.18/145
C.35/120
D.36/145
Answer: D.36/145
Explanation: The probability that first ball is white:
=12C1/30C1
12/30
=>2/5
Since, the ball is not replaced; => the number of balls left in bag- 29.
the probability the second ball - BLACK
18C1/29C1 = 18/29
req = 2/5 * 18/29 = 36/145
ANSWER D
Question: The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $62,500, how much profit did the business make?
A.$100,000
B.$125,000
C.$150,000
D.$200,000
Answer: A.$100,000
Explanation: Majority owner + two partners = 0.25*P + 2*(0.25)*(0.75)*P = 0.25*P + (0.5)*(0.75)*P = 0.25*P + (0.375)*P = (0.625)*P
This equals $62,500.
(0.625)*P = 62,500 ----- divide both sides by 625
(0.001)*P = 100 ------ multiply by 1000
P = 100,000
Answer = A
Question: A thief steals at a car at 3.00 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
A.1 p.m
B.3 p.m
C.4 p.m
D.5.30 p.m
Answer: D.5.30 p.m
Explanation: D
5.30 p.m
Suppose the thief is overtaken x hrs after 3.00 p.m.
Then, distance covered by the owner in (x - 1/2) hrs.
60x = 75(x - 1/2) => x = 5/2 hrs.
So, the thief is overtaken at 5.30 p.m.
Question: If six persons sit in a row, then the probability that three particular persons are always together is ?
A.1/6
B.1/9
C.1/5
D.1/1
Answer: C.1/5
Explanation: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability
= 3!4!/6! = 1/5
Answer:C
Question: A bookseller has two display windows. She plans to display 5 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
A.24
B.72
C.720
D.336
Answer: C.720
Explanation: The left window will have permutations of the 5 fiction books, so the number of possibilities for that window is
permutations = 5! = (5)(4)(3)(2)(1) = 120
The right window will have permutations of the 3 non-fiction books, so the number of possibilities for that window is
permutations = 3! = (3)(2)(1) = 6
Any of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 120*6 = 720
Answer: C.
Question: From the starting point in a boat race, one competitor started to sail north at a speed of 1.1 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?
A.8.1
B.12.
C.12.5.
D.14.
Answer: A.8.1
Explanation: Both competitors are sailing making angle of 90 degrees.
After 5 hrs one competitor will cover a distance of = 1.1 *5= 5.5 KM
And, other competitor will cover a distance of = 1.2*5= 6KM
distance between them after 5 hrs = (5.5^2+ 6^2)^1/2= 8.1 KM
A is the answer
Question: The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability W that 3 of Sam’s 4 funds grew by at least 10% over last year?
A. 6C3 / 10C4
B. 6C3 * 4C1 / 10C4
C. 6C3 * 4C1 / 10P4
D. 6P3 * 4P1 / 10C4
Answer: B. 6C3 * 4C1 / 10C4
Explanation: Look at the answers. B is the only answer choice that uses only combination formulas and takes into account all the factors.
We know this is a combination, not a permutation. This rules out choices C, DE.
A clearly isn't the answer because W=6C3 only accounts for 3 of the funds he chose. 10C4, the denominator, is correct, so the numerator must be wrong.
B it is.
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 2 employees to 5 different offices?
A.5
B.6
C.7
D.25
Answer: D.25
Explanation: Ans. Each employee can go into any of the two offices. Thus we have
=> 5 * 5 = 25
Answer : D
Question: The length of a train and that of a platform are equal. If with a speed of 36 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
A.752
B.799
C.300
D.750
Answer: C.300
Explanation: Speed = [36 * 5/18] m/sec = 10 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 10 Ã¨ x = 10 * 60 / 2 = 300
Answer: C
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 10 months, find for how much time did Q invest the money?
A.11
B.10
C.20
D.16
Answer: C.20
Explanation: 7*5: 10*x = 7:10
x = 20
Answer:C
Question: Insert the missing number
..., 4, 8, 16, 32, 64, 128, 256
A.6
B.5
C.2
D.3
Answer: C.2
Explanation: series is 2* Previous Number.
ANSWER:C
Question: 20 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
A.33.33
B.34.01
C.26.32
D.28.33
Answer: D.28.33
Explanation: Explanation:
Let the two parts be (20 - x) and x.
Then, 10 (20 - x) + 22x = 780
=> 12x = 580
=> x = 48.33.
Bigger part = (20 - x) = 28.33.
Answer: D) 28.3
Question: Mixture V is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture V, how many kilograms of mixture V must be added to make a 70% material B in the new mixture?
A.A)6
B.B)7
C.C)8
D.D)9
Answer: A.A)6
Explanation: Can be done with weighted avg method.
if 2 kg more of oil is added to 20% oil of 8 kg mix,then a 10kg of mix will have 3.6kg (or 36%) of oil .
V1=20(initial mix.)
Avg. is what we need..ie 70% of material B means 30% of oil
V2=36(36% of 10 kg mix)
w1/w2=(V2-Avg)/(Avg-V1)
(36-30)/(30-20)
6/10
means for every 10 kg of new mix. we need 6 kg of mix V
Ans A
Question: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
A.12, 9
B.10, 5
C.12, 7
D.11, 6
Answer: C.12, 7
Explanation: Explanation:
x – y = 5
4x – 6y = 6
x = 12 y = 7
ANSWER IS C
Question: What is the next number of the following sequence
1,3,4,5,1,9,16...
A.14
B.25
C.16
D.17
Answer: B.25
Explanation: (1, 3 ,4,5) (1, 9, 16, x)
square of 1st group gives 2nd group
1^2 = 1
3^2 = 9
4^2 = 16
5^2 = 25
ANSWER:B
Question: If a certain sample of data has a mean of 22.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
A.12.0
B.13.5
C.14.5
D.23.5
Answer: C.14.5
Explanation: The standard deviation is 3. 2.5 standard deviations, which is just 2.5 x 3.0 is 7.5. The only answer more than 7.5 away from the mean is C.
Question: If x≠2 and (x^2 - 4)/(2y) = (x - 2)/4, then in terms of y, x = ?
A.(y - 6)/2
B.(y - 3)/2
C.(y - 4)/2
D.y - 6
Answer: C.(y - 4)/2
Explanation: Since (x^2 – 4)=(x-2)(x+2) the original equation can be changed into 4*(x-2)(x+2) = 2y *(x-2).
By cancelling 2(x-2) (we can do it because x≠2) we get :
2*(x+2)=y.
So x=(y-4)/2. So the answer is C).
Question: A man buys 54 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
A.7.6 %
B.7.7 %
C.16.21 %
D.13.6 %
Answer: C.16.21 %
Explanation: Explanation:
Let Marked price be Re. 1 each
C.P. of 54 pens = Rs. 46
S.P. of 54 pens = 99% of Rs. 54= Rs. 53.46
Profit % = (Profit /C.P.) x 100
Profit% = (7.46/46) x 100 = 16.21 %
ANSWER: C
Question: A motorist travel to a place 150 km away at an average speed of 60 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is
A.36 km/hr
B.37 km/hr
C.40 km/hr
D.44 km/hr
Answer: C.40 km/hr
Explanation: Explanation:
Average speed will be
2xy/x+y km/hr
= {2(60)(30)}/{60+30} km/hr
= 40 km/hr
Answer: Option C
Question: Potatoes are made up of 99% water and 1% potato matter. Jack bought 100 pounds of potatoes and left them outside in the sun for a while. When he returned, he discovered that the potatoes had dehydrated and were now only made up of 98% water. How much did the potatoes now weigh?
A.50 lb
B.80 pounds
C.90 pounds
D.100 pounds
Answer: A.50 lb
Explanation: initially water weigh 99 pounds & patato matter weigh 1 pound.
after dehydration
water = 98%
=> potato matter = 2% = 1 pound
100% = (1/2) * 100 = 50 pounds
So, potato now weigh 50 pounds.
ANSWER:A
Question: A room of 6m 20cm long and 5m 74cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
A.88900
B.87700
C.88970
D.88000
Answer: C.88970
Explanation: Explanation:
area of the room = 620 * 574 sq cm
size of largest square tile = H.C.F of 620cm and 574cm= 2cm
area of 1 tile = 2*2 sq cm
no. of tiles required = (620*574) / (2* 2) = 88970
Answer: C) 88970
Question: John has 5 flavors of chocolate in him shop. How many options are there for Jones to pick a one-flavor, two-flavor, three-flavor, four-flavor or five-flavor order?
A.22
B.31
C.43
D.37
Answer: B.31
Explanation: 5C1 + 5C2+ 5C3+5C4+5C5 = 31.
Answer: B
Question: A car covers a distance of 630 km in 6 ½ hours. Find its speed?
A.105 kmph
B.176 kmph
C.298 kmph
D.186 kmph
Answer: A.105 kmph
Explanation: 630/6
= 105 kmph
Answer:A
Question: What will be the compound interest on Rs. 35000 after 3 years at the rate of 12 % per annum
A.Rs 13123.20
B.Rs 14103.48
C.Rs 12172.48
D.Rs 14172.48
Answer: D.Rs 14172.48
Explanation: Explanation:
(35000×(1+12/100)3)
=>35000×28/25×28/25×28/25
=>49172.48
So Compound interest will be 49172.48 - 35000
= Rs 14172.48
Option D
Question: If X boxes of mango juice cost 250 cents, how much will Y boxes cost in dollars?
A.Y*2/x
B.Y*2.6/x
C.2Y*2.5/x
D.Y*2.5/x
Answer: D.Y*2.5/x
Explanation: X boxes of mango juice cost 250 cents or 2.5 dollars.
cost of mango juice = 2.5/x
Cost of Y mango juices = Y*2.5/x
Hence Answer : D
Question: root X+3=X root X+3 how many solution???
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: root(x+3)=x root(x+3)
=>square both side
=>x+3=x2(x+3)
=>(x+3)(x2-1)
=>(x+3)(x+1)(x-1)
hence 3 solution is there
ANSWER:C
Question: Find the middle one when The sum of three consecutive even numbers is 36?
A.10
B.12
C.14
D.16
Answer: B.12
Explanation: 3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 36.
Hence a = 12.
B
Question: Five kids were sharing out a box of candies. Amar took one-third, Babu took one-quarter,Chetan took one-fifth, and Dinakar took one-sixth. That left six candies as Shiva's share. Howmany candies were altogether?
A.100
B.120
C.140
D.160
Answer: B.120
Explanation: let the total no of candies in a box= x
then aman took=x/3
babu took=x/4 and chetan took = x/5 and the remaining should be shiva's share
then
x-(x/3+x/4+x/5+x/6) =6 i.e 3x/60=6
therefore x=120
ANSWER:B
Question: Suresh borrowed some money at the rate of 12% 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 11 years is Rs.8160, how much money did he borrow?
A.s.8500
B.s.6000
C.s.6800
D.s.9000
Answer: C.s.6800
Explanation: using the formula S.I=P*T*R/100
(x*12*3/100)+(x*9*5/100)+(x*13*3/100)=8160
x=6800
i.e money borrowed is Rs.6800
ANSWER:C
Question: a batmans runs just before the last match of the season adds up750 in his last two innings his scores only 6 scores and his avg drop by 2 fond his final avg of the season?
A.21
B.22
C.23
D.24
Answer: C.23
Explanation: Formula for this question is
6 = 2*avg-2(N+2)
6 = 2*(750/n) - 2(n+2)
n*n+5n-750 = 0
n= 25
so final ans 23
ANSWER:C
Question: What is the sum of the different positive prime factors of 880?
A.5
B.10
C.15
D.18
Answer: D.18
Explanation: Prime factorization of 880
=88 * 10
=8*11 * 10
=2*4 * 2*5 * 11
=2* 2*2 * 2*5 * 11
=2^4 * 5 * 11
Sum of the different positive prime factors of 880 = 2+5+11
=18
Answer D
Question: If x is divisible by 3 and 4, which of the following must divide evenly into x?
I. 2
II. 38
III. 41
A.I only
B.I and II
C.II​ and III
D.II​ only
Answer: A.I only
Explanation: If x is divisible by 3,4 means it will be = or > 12, 24,48 etc...
That are not divisible by 38, 41.
So, the answer is A
Question: X can give Y 100 meters start and Z 200 meters start in X kilometer race. How much start can Y give Z in X kilometer race?
A.112.2m
B.216.3m
C.111.12m
D.213.27m
Answer: C.111.12m
Explanation: C
111.12 m
X runs 1000 m while Y runs 900 m and Z runs 800 m.
The number of meters that Z runs when Y runs 1000 m,
= (1000 * 800)/900 = 8000/9 = 888.88 m.
Y can give Z = 1000 - 888.88 = 111.12 m.
Question: Find the smallest number of 6 digits which is exactly divisible by 111.
A.100011
B.111111
C.101111
D.201111
Answer: A.100011
Explanation: Smallest number of 6 digits is 100000.
On dividing 100000 by 111, we get 100 as remainder.
Number to be added = (111 - 100) - 11.
Hence, required number = 100011
Option A
Question: What is the product of all the possible values of x if x^2+5x+6?
A.12
B.18
C.15
D.6
Answer: D.6
Explanation: Explanation:
=> y= x^2+5x+6
=> y= (x+2) (x+3)
=> x= -2, x= -3
Product x = (-2)(-3) = 6
answer option 6
ANSWER:D
Question: If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive
A.233
B.381
C.900
D.287
Answer: C.900
Explanation: Explanation:
Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .
A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.
Hence, C's share (4650 * 6/31) = Rs, 900.
Answer: C) Rs.900
Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
A.21 ½ days
B.22 ½ days
C.23 ½ days
D.12 ½ days
Answer: B.22 ½ days
Explanation: Explanation:
1/18 + 1/30 = 8/90 = 4/45
45/4 = 11 ¼ *2 = 22 ½ days
Answer: B
Question: Which of the following must be non-negative?
A.(a-0.9)(a-1)
B.(a+1)(a-1)
C.(a+0.9)(a+1)
D.(a-0.9)(a-0.9)
Answer: D.(a-0.9)(a-0.9)
Explanation: a^2+a
f'(a)=2a+1=0 => a=-1/2
f''(a) =2>0 => a= -1/2 is point of minima Putting this value in main equation we get -1/2 (-ve)
Option D
F(a)=(a - 0.9)^2
f'(a)= 2(a-0.9)=0 => a=0.9
f''(a)= 2>0 => a= 0.9 is point of minima. Putting in main equation we get 0 which is non negative.
Answer: D
Question: There are 10 baskets numbered from 1 to 10 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
A.330
B.390
C.450
D.510
Answer: C.450
Explanation: Each child takes a total of 1+2+3+4+5+6+7+8+9+10 = 10*11/2 = 55 apples.
The total number of apples taken by 10 children is 10*55 = 550
The number of apples left in the end is 1000 - 550 = 450 apples.
The answer is C.
Question: Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM?
A.9 kmph
B.10 kmph
C.12 kmph
D.14 kmph
Answer: C.12 kmph
Explanation: Let the distance travelled by x km.
Then, x - x = 2
10 15
3x - 2x = 60
x = 60 km.
Time taken to travel 60 km at 10 km/hr = 60 hrs = 6 hrs.
10
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Required speed = 60 kmph. = 12 kmph.
5
C
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day should 4 pumps work in order to empty the tank in 1 day?
A.10
B.12
C.8
D.15
Answer: B.12
Explanation: Explanation :
Let the required hours needed be x
More pumps, less hours (Indirect proportion)
More Days, less hours (Indirect proportion)
⇒3 × 2 × 8 = 4 × 1 × x
⇒ 3 × 2 × 2 = x
⇒ x = 12 . Answer : Option B
Question: If n > 0 , which of the following must be true?
I n^2 < 1
II	n - n^2 < 0
III	2n - 1 < 0
A.I only
B.II only
C.III only
D.I and II only
Answer: B.II only
Explanation: I. False for all values of n except 1
When n = 1 ; n^2 = 1
II. True for all values of n except 1
When n = 1 ; n - n^2 = 1 - 1 =>0
III	False for all values of n
Hence the correct answer will be (B)
Question: A certain junior class has 1000 students and a certain senior class has 900 students. Among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
A.3/40000
B.2/30000
C.9/2000
D.1/60
Answer: B.2/30000
Explanation: Let's see
Pick 60/1000 first
Then we can only pick 1 other pair from the 800
So total will be 60 / 900 *1000
Simplify and you get 2/30000
Answer is B
Question: What is the probability that Company E's advertisement will be one of the first two be shown during the first commercial break?
A. 1/ 225
B. 1 / 30
C. 1 /15
D. 2 / 15
Answer: D. 2 / 15
Explanation: E 1/15 + (14/15) * 1/14 = 2/15 D
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
A.11%
B.11 2/9%
C.11 1/9%
D.10%
Answer: C.11 1/9%
Explanation: 900 --- 100
100 --- ? => 11 1/9%
ANSWER:C
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, ?, 1
A.1
B.2
C.5
D.7
Answer: B.2
Explanation: 46080 /12 = 3840
3840 /10 = 384
384 /8 = 48
48 /6 = 8
8/4 = 2
2 /2 = 1
B
Question: When the positive integer x is divided by 9,the remainder is 5.What is the remainder when 8x is divided by 9?
A.0
B.1
C.3
D.4
Answer: D.4
Explanation: i tried plugging in numbers
x = 9q+5
x = 14
8x = 112
8x/9= 9*12+4
remainder is 4.
Answer is D.
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
A.128
B.131
C.132
D.143
Answer: C.132
Explanation: To do this, if captain is elected first, then we have 12 ways of doing this.
For election of vice-captain, we have only 11 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)
So, the ans is 12*11 = 132 ways.
C
Question: If 4 men can reap 40 acres of land in 15 days, how many acres of land can 16 men reap in 30 days?
A.320
B.240
C.369
D.489
Answer: A.320
Explanation: 4 men 40 acres 15 days
16 men ? 30 days
40 * 16/4 * 30/15
40 * 4 * 2
40 * 8 = 320
Answer:A
Question: Excluding stoppages, the speed of a bus is 48 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A.5
B.4.15
C.4.25
D.5.5
Answer: B.4.15
Explanation: Due to stoppages, it covers 314 km less.
Time taken to cover 3 km = ((3/48)Ã—60) =4.15 min.
Option(B) is correct
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
A.12
B.42
C.62
D.20
Answer: D.20
Explanation: 900 ---- 180
100 ---- ? => 20%
Answer: D
Question: The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is
A.45 kg
B.50 kg
C.53 kg
D.55 kg
Answer: A.45 kg
Explanation: Solution
Weight of the teacher	= (35.4 x 25 - 35 24)kg
= 45 kg
Answer A