RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A certain country had a total annual expenditure of $4.8 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure?
A. $ 500
B. $1,000
C. $2,000
D. $3,000
Answer: C. $2,000
Explanation: Total expenditure / Population = per capita expenditure
Hence, (4,8 x 10^11) / 240 000 000 = (4,8 x 10^11) / (2,4 x 10^8) = 2 x 10^(11-8) =
2 x 10^3 = 2000.
Answer is C.
Question: If Q is an odd number and the median of Q consecutive integers is 140, what is the largest of these integers?
A.Q/2 + 139
B.(Q - 1)/2 + 140
C.Q/2 + 140
D.(Q + 139)/2
Answer: B.(Q - 1)/2 + 140
Explanation: Consider the easiest case, say Q=3, then;
Set = {139, 140, 141};
The largest integer = 141.
Now, plug Q=3 into the answers to see which yields 141.
Answer: B.
Question: If the sum of 7 consecutive integers is x, which of the following must be true?
I. x is an even number
II. x is an odd number
III. x is a multiple of 7
A. I only
B. III only
C. II only
D. I and III
Answer: B. III only
Explanation: I. If you start off with an even number, the sum (x) is even, and if you start off with an odd number the sum (x) is odd. Therefore this is not always true.
II. Same as above. This need not be always true.
III. Say, the first number is p. Then the sum of the five numbers = p + (p+1) + (p+2)...... + (p+4)
= 7p + 14 = 7 (p+2) => divisible by 7. There this must be true in all cases.
Therefore B is the answer.
Question: SCORE INTERVAL----------------NUMBER OF SCORES
50-59-------------------------- 2
60-69-------------------------- 4
70-79--------------------------10
80-89--------------------------27
90-99--------------------------18
The table above shows the distribution of test scores for a group of management trainees. Which score interval contains the median of the 61 scores?
A.30
B.32
C.31th(80-89)
D.34
Answer: C.31th(80-89)
Explanation: Total scores= 2+4+10+27+18 = 61, which is odd, therefore the median is the Floor(61/2)+1 = 31th score. And the 31th score is in the 80-89 range, because 50-79 only reference 28 scores.
C
Question: By selling 18 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A.8
B.12
C.6
D.4
Answer: B.12
Explanation: 80% --- 18
120% --- ?
80/120 * 18
= 12
Answer:B
Question: The age of man is three times the sum of the ages of his two sons.Five years hence,his age will be double of the sum of the ages of his sons.The father’s present age is :
A.40 years
B.45 years
C.50 years
D.55 years
Answer: B.45 years
Explanation: Solution
Let the sum of present ages of the two sons be x years.
Then,father's present age = 3x years.
∴ (3x + 5)=2 (x +10) ⇔ 3x + 5 = 2x + 20 ⇔ x =15.
Hence,father's present age = 45 years. Answer B
Question: How many cubes of 10 cm edge can be put in a cubical box of 1 m edge?
A.1
B.10
C.100
D.1000
Answer: D.1000
Explanation: Sol.
Number of cubes = [100 * 100 * 100 / 10 * 10 * 10] = 1000.
Answer D
Question: 8 men, working 8 hours a day can complete a work in 18 days. How many hours a day must 12 men work to complete the same work in 12 days?
A.6
B.7
C.8
D.9
Answer: C.8
Explanation: The number of hours required to complete the work is 8*8*18 = 1152
12 × 12 × (x) = 1152
x = 8
The answer is C.
Question: There are 17 teams in the hockey league, and each team faces all the other teams 10 times each. How many games are played in the season?
A.980
B.1150
C.1360
D.1540
Answer: C.1360
Explanation: The number of ways to choose two teams is 17C2 = 17*16/2 = 136
The total number of games in the season is 10*136 = 1360.
The answer is C.
Question: What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x
A.35678
B.73205
C.75653
D.86554
Answer: B.73205
Explanation: (B)
5 x 11 = 55, 55 x 11 = 605, 605 x 11 = 6655, 6655 x 11 = 73205
Question: A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
A.24
B.55
C.66
D.21
Answer: A.24
Explanation: 10/40 + 10/30 + 10/x = 1
x = 24 days
Answer: A
Question: From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a club and the second card is a king?
A.2/13
B.1/26
C.5/26
D.1/52
Answer: D.1/52
Explanation: P(club) = 1/4
P(king) = 1/13
P(club then a king) = 1/4 * 1/13 = 1/52
The answer is D.
Question: The ages of Ashley and Mary are in the ratio 4:7. The sum of their ages is 22. Find the ages of Ashley .
A.7
B.8
C.9
D.10
Answer: B.8
Explanation: a:m=4:7
let the ages of a & m be x &22-x
x/22-x=4/7
x=8
a=8yrs
ANSWER:B
Question: A certain quantity of 45% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
A.1/4
B.1/3
C.1/2
D.2/3
Answer: C.1/2
Explanation: Let's say that the total original mixture A is 100 ml
The original mixture A thus has 45 ml of alcohol out of 100 ml of solution
You want to replace some of that original mixture A with another mixture B that contains 25 ml of alcohol per 100 ml. Thus, the difference between 45 ml and 25 ml is 20 ml per 100 ml of mixture. This means that every time you replace 100 ml of the original mixture A by 100 ml of mixture B, the original alcohol concentration will decrease by 20%. The question says that the new mixture, let's call it C, must be 35% alcohol, a decrease of only 10%. Therefore, 10 out of 20 is 1/2 and C is the answer.
Question: A man sells a horse for Rs.1200 and loses something, if he had sold it for Rs.1500, his gain would have been trible the former loss. Find the cost price of the horse?
A.700
B.800
C.875
D.1000
Answer: C.875
Explanation: CP = SP + 1CP = SP - g
1200 + x = 1500 -3x
4x = 300 => x = 75
CP = 800 + 75 = 875
Answer: C
Question: A 4-person task force is to be formed from the 4 men and 3 women who work in Company G's human resources department. If there are to be 2 men and 2 women on this task force, how many different task forces can be formed?
A.14
B.18
C.35
D.56
Answer: B.18
Explanation: The number of ways to choose 2 men out of 4 is C24=6;
The number of ways to choose 2 women out of 3 is C23=3.
Principle of Multiplication says that if one event can occur in mm ways and a second can occur independently of the first in nn ways, then the two events can occur in mnmn ways.
Thus the number of ways to choose 2 men AND 2 women is 6*3=18.
Answer: B.
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number will be a solution to the equation (x-4)(x+9)(2X+5) = 0?
A.1/12
B.1/6
C.1/4
D.1/3
Answer: A.1/12
Explanation: x = -2.5
Prob =1/12
Answer - A
Question: Set M contains numbers that satisfy the condition that, if integer x is in the set then x+3 will also be in the set M. If -3 is one of the value in the set, which of the following numbers must also be present in the set M.
I. 3
II. -10
III.1
A.I only
B.II only
C.I and II only
D.II and III only
Answer: A.I only
Explanation: Notice that we are askedwhich of the following numbers MUST also be present in the set MnotCOULD be in the set.
Now, if -3 is in the set, then -3+3=0mustbe in the set. Since 0 is in the set then 0+3=3mustbe in the set and 6 also. Could -8 or 1 be in the set? sure no.
Answer: A.
Question: A, Band C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 4400. What is the share of B ?
A.1100
B.800
C.1400
D.1200
Answer: B.800
Explanation: Let C's capital = Rs. x. Then, B's capital = Rs. (2/3)x
A’s capital = Rs. (3 x (2/3).x) = Rs. 2x.
Ratio of their capitals = 2x : (2/3)x :x = 6 : 2 : 3.
Hence, B's share = Rs. (4400 x (2/11))= Rs. 800.
Answer is B
Question: A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 50% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
A.$37.80
B.$49
C.$39.20
D.$39.50
Answer: B.$49
Explanation: A farmer spent 40% money on chicken feed, so he spent 0.4*$35=$14 on chicken feed, thus he spent the remaining 35-14=$21 on goat feed.
Now, since he bought chicken feed at a 20% discount then the original price of it was x*0.5=$14 --> x=$28.
Therefore if the farmer had paid full price for both the chicken feed and the goat feed, then he would he have spent 28+21=$49.
Answer: B.
Question: What is the range of all the roots of |x^2 - 5| = x ?
A.4
B.3
C.2
D.1
Answer: A.4
Explanation: we get 2 quadratic equations here ..
1) x^2-x-5=0 ....... roots 2 , -1
2) x^2+x-5=0 ........ roots -2, 1
Inserting each root in given equation , it can be seen that -1 and -2 do not satisfy the equations .
So value of x for given equation .... x=5 or x=1
I guess range is 5-1 =4
A
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
A.10 kmph
B.20 kmph
C.19 kmph
D.17 kmph
Answer: A.10 kmph
Explanation: Speed of the boat in still water = (60+80)/2 = 70 kmph. Speed of the stream
= (80-60)/2
= 10 kmph.
Answer:A
Question: How many cubes of 5cm edge can be cut out of a cube of 20cm edge
A.36
B.64
C.216
D.484
Answer: B.64
Explanation: Explanation:
number of cubes=(20 x 20 x 20) / (5 x 5 x 5) = 64
Answer: B
Question: A clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 50 percent of what the collector had paid. The shop then sold the clock again at a profit of 80 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $100, for how much did the shop sell the clock the second time?
A.$270
B.$250
C.$240
D.$220
Answer: A.$270
Explanation: Original Price = x
Sold to collector at 1.2x
re-buy price = 1.2x * 0.5 = 0.6x
therefore, x - 0.6x = 100; x = 250
second selling price = 1.8 * 0.6 * 250 = 270
ANSWER:A
Question: A straight pipe 1 meter in length was marked off in fourths and also in fifths. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a meter?
A. 1/20 and 1/10 only
B.1/5, 1/20 ,3/20 and 1/10
C. 1/6, 1/4, and 1/3
D. 1/12, 1/6 and 1/4
Answer: B.1/5, 1/20 ,3/20 and 1/10
Explanation: Generally fast way to solve such problem is writing the different marks in ascending/descending order with same denominator:
Here 4th : 0/4, 1/4, 2/4, 3/4, 4/4
and 5th : 0/5, 1/5, 2/5, 3/5 , 4/5, 5/5
Now with understood common denominator 20 write the numbers : for 4th : 0,5,10,15,20 and for 5th : 0,4,8,12,16,20
Now comine : 0,4,5,8,10,12,15,16,20
Now find the cut with denominator 20 (Substracrt adjacent terms : 1/5, 1/20, 3/20, 1/10,1/10,3/20,1/20,1/5 i.e. 1/5, 1/20 ,3/20 and 1/10 after removing duplicates.
Answer : B
Question: How many multiples of 4 are there between 1 and 99 ?
A.20
B.24
C.26
D.25
Answer: B.24
Explanation: 4 multiples are 4,8,12,---------,92,96
It should be mentioned whether 1 and 99 are inclusive.
the answer is (96-4)/4+1=24
Answer is B
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 32, the how old is B?
A.10 years
B.12 years
C.14 years
D.15 years
Answer: B.12 years
Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 32
5x = 30
x = 6.
Hence, B's age = 2x = 12years.
B)
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
A.7.75 sec
B.9.15 sec
C.7.15 sec
D.7.19 sec
Answer: D.7.19 sec
Explanation: Explanation:
T = (121 + 165)/ (80 + 65) * 18/5
T = 7.15
Answer: Option D
Question: A thief steals at a car at 2.30 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.5 pm
B.4 pm
C.3 pm
D.2 pm
Answer: A.5 pm
Explanation: the thief is overtaken x hrs after 2.30 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 p.m.
ANSWER A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.267
B.240
C.166
D.111
Answer: B.240
Explanation: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train
= (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300
= 540 ==> x
= 240 m.
Answer: B
Question: In a 100m race, Sam beats John by 6 seconds. On the contrary, if Sam allowed John to start 36m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race?
A.10.66 seconds
B.25 seconds
C.29 seconds
D.21 seconds
Answer: A.10.66 seconds
Explanation: Their difference is 6 second but this difference is 0 if john allows Sam to start the race from 36m ahead . that means Jhon was 36m away from finishing line when they started together . so He will cover 36 m in 6 seconds . so his speed =36/6=6 metre / second . so time taken =100/6=16.66 seconds . so Sam took = 10.66 seconds .
correct answer = A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
A.10
B.15
C.20
D.12
Answer: D.12
Explanation: Speed of the boat downstream = 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m = 60/5 = 12 seconds.
ANSWER:D
Question: A man shows his friend a woman sitting in a park and says that she the daughter of my grandmother's only son.What is the relation between the two
A.brother sister relation
B.sister sister-in-law relation
C.daughter father relation
D.daughter mother relation
Answer: A.brother sister relation
Explanation: man(ram)--says-->friend(somu)
Let the Daughter (ramya)
(ram's)grandmother---->(ram's father)only son----->(ram's sister)Daughter.
The relation between Ram & Ramya is brother sister relation
ANSWER:A
Question: The cost price of a particular amount of articles is same as the number of articles. Selling price of the articles comes out to be 20. Over the whole transaction 25% is gained. What is X?
A.15
B.18
C.16
D.20
Answer: C.16
Explanation: Explanation:
According to the question let n be the number of articles.
=> Cost price of n articles = n
=> Selling price of n articles = 20
=> Profit % = 25%
=> Profit % = (SP - CP)/CP X 100
Putting the values in the formula
(20-n)/n x 100 = 25
=> 5n/4 = 20
=> n = 16
ANSWER C
Question: How many different positive integers are factors of 256 ?
A. 4
B. 6
C. 8
D. 16
Answer: D. 16
Explanation: 16×16=4^2 × 4^2
So total factors = (3+1)(3+1) = 16
Answer: D
Question: The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is:
A.7
B.29
C.41
D.67
Answer: D.67
Explanation: x+(x+36)+y=100 => 2x+y=64
Therefore y must be even prime, which is 2.
Therefore 2x+2=64 => x=31
Third prime number= (x+36)= (31+36)= 67.
Answer: D
Question: Tensile strength of a material A is a multiple of amount of materials a, b, c, d used. If the amount of material of a, b, c, d are changed by +30%, -30%, -25%, +25% respectively, what will be the overall change in tensile strength of A?
A.No Change
B.+14.68%
C.–14.68%
D.Depends on the initial amount of a, b, c, d
Answer: C.–14.68%
Explanation: DETAILED SOLUTION
Since, tensile strength of A = a x b x c x d, If we assume initial tensile strength to be 100, we can apply successive % changes to arrive at the final figure
100 -30% ---> 70 (Any of the change can be carried out first, the result would be same)
70 + 30% ---> 91
91 + 25% ---> 113.75
113.75 – 25% --> ~85.31
Therefore, percent change in tensile strength = -14.68%
Note – This question could have been solved by just looking at the options. As the individual percentage increase and percentage decrease are same, it will effectively result in an overall percentage decrease for sure because any increase by any % will result in a greater subsequent decrease if same % decrease is applied. Similarly, aby % decrease by any % will result in a smaller subsequent increase if same % increase is applied.
Correct Answer: C
Question: When T is divided by 9, the remainder is 4. All of the following are possible values of T, except for which of the following?
A.13
B.31
C.49
D.57
Answer: D.57
Explanation: The number can be expressed in the form of 9x+4 where x can 0,1,2,3,4....
by evaluating the answer choices carefully we can clearly observe that 57 is the only number which can't be expressed T in the form of 9x+4
In other words we can also say that the (answer - 4) will not be divisible by 9.57 is the number which doesn't follow this condition
Correct Answer - D
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
A.10.8 sec
B.9.5 sec
C.7.4 sec
D.8.9 sec
Answer: A.10.8 sec
Explanation: Relative speed = (60 + 40) km/hr = 100x5/18 = 250/9 m/ sec.
Distance covered in crossing each other = (140 + 160) m = 300 m.
Required time = 300x9/250 = 54/5 = 10.8 sec.
Answer : A.
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.21 1/9%
B.61 1/9%
C.11 1/9%
D.31 1/9%
Answer: C.11 1/9%
Explanation: Explanation:
900 --- 100
100 --- ? => 11 1/9%
Answer: C
Question: If one is added to the numerator of the fraction it becomes one. If one is added to the denominator of the fraction it becomes 1/2. The fraction is?
A.1/2
B.3/5
C.2/3
D.2/5
Answer: C.2/3
Explanation: Explanation:
Let the fraction be x/y.
=> (x+1)/y = 1
=> x+1 = y—(1)
x/(y-1) = 1/2
=> 2x = (y+1)—(2)
=>Equating (1) and (2)
=> x+1 = 2x-1
=>x=2
Subsituting the value of x in (1)
=>y=3
=>2/3
ANSWER C
Question: Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, forty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 70 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
A.10%
B.14%
C.18%
D.22%
Answer: B.14%
Explanation: Let I be the number of incandescent bulbs.
Let F be the number of fluorescent bulbs.
0.4I + 0.8F = 0.7(I+F)
0.1F = 0.3I
F = 3I
This means that for every 1 incandescent bulb, there are 3 fluorescent bulbs.
The percent of bulbs that are switched on which are incandescent is:
0.4I / (0.4I + 0.8F) = 0.4I / (0.4I + 0.8*3I) = 0.4I / 2.8I = 1/7 which is about 14%.
The answer is B.
Question: The probability that a computer company will get a computer hardware contract is 4/5 and the probability that it will not get a software contract is 3/5. If the probability of getting at least one contract is 5/6, what is the probability that it will get both the contracts?
A.7/20
B.9/25
C.11/30
D.13/35
Answer: C.11/30
Explanation: Let, A ≡ event of getting hardware contract
B ≡ event of getting software contract
AB ≡ event of getting both hardware and software contract.
P(A) = 4/5, P(~B) =5/9
=> P(B) = 1- (3/5) = 2/5.
A and B are not mutually exclusive events but independent events. So,
P(at least one of A and B ) = P(A) + P(B) - P(AB).
=> 5/6 = (4/5) + (2/5) - P(AB).
=> P(AB) = 11/30.
Hence, the required probability is 11/30.
The answer is C.
Question: There are 24 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both.
How many are Bare Feet ?
A.10
B.20
C.40
D.50
Answer: A.10
Explanation: A
10
12 kids wear socks
8 kids wear shoes
6 wear both.
12 – 6 = 6 (wear only socks)
8 – 6 = 2 (wear only shoes)
6 (wear both)
hence, 24 -14 = 10
10 kids are with bare feet.
Question: Sophia finished 2323 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?
A.140
B.320
C.745
D.270
Answer: D.270
Explanation: Let x be the total number of pages in the book, then she finished 23⋅x pages.
Then she has x−23⋅x=13⋅xpages left.
23⋅x−13⋅x=90
13⋅x=90
x=270
So the book is 270 pages long.
correct answer is D)270
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
A.11
B.1
C.2
D.7
Answer: D.7
Explanation: Explanation:
7 * 8 : 9 * x = 8:9 => x= 7
Answer:D
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having only 1 woman in committee ?
A.11/18
B.5/18
C.6/19
D.17/18
Answer: B.5/18
Explanation: We may have (3 men and 2 women) = (7C3 x 6C2) = 525
or (4 men and 1 woman) = (7C4 x 6C1) = 210
or (5 men only) = (7C5) = 21
Required ways = 756
Probability of having only 1 woman in committee = 210 / 756 = 5/18
ans - B
Question: 1,5,6 ,25, 26,30,31, 125,126,130,131,150,151,155,156,……… What is the value of 33rd term in the
given series
A.3126
B.3226
C.3236
D.3246
Answer: A.3126
Explanation: 1st terms gives 2nd and 3rd terms
1st term is 1
2nd term 1*5=5 3rd term= 5+1=6
similarly,
4th term =5*5=25 5th term=25+1=26
1st term gives 2nd and 3rd values
2nd term gives 4th and 5th values
lke wise
16th term gives 32nd and 33rd values
16 th term is 125*5=625
32nd term is 625*5=3125 and 33rd value is 3126
ANSWER:A
Question: A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
A.5
B.6
C.9
D.24
Answer: A.5
Explanation: list the people as 1,2,3,4,5,6 from shortest to tallest
First row leftmost -> Only 1 choice - the shortest -> Person 1
Last row rightmost -> only 1 choice - the tallest -> Person 6
First row second seat -> cannot be 4 or 5 because the constraint set on the second row would be violated. So First row second seat has to go to 2 or 3 (2 choices)
First row last seat -> If person 2 is seating on first row second seat, then the first row last seat can be person 3, person 4 or person 5 (3 choices)
First row last seat -> If person 3 is seating on the first row second seat, then the first row last seat can only be 4 or 5 (2 choices).
once we fix the first row, the last row can only be 1 certain choice in order to fit the constraint set by the question.
So we end up with
1,2,3/4/5 -> 3 ways
1,3,4/5 -> 2 ways
Total 5 ways.
Answer: A.
Question: Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.985. Find the cost of each ice-cream cup?
A.25
B.76
C.29
D.12
Answer: C.29
Explanation: Explanation:
Let the cost of each ice-cream cup be Rs.x
16(6) + 5(45) + 7(70) + 6(x) = 985
96 + 225 + 490 + 6x = 985
6x = 174 => x = 29.
Answer:C
Question: On a game show, a contestant spins 2 different wheels; each wheel is numbered 1 to 5. What is the probability that the contestant will spin all tens?
A.2/41
B.3/6
C.7/9
D.1/25
Answer: D.1/25
Explanation: All 5s:
1st wheel = 5 = 1/5
2nd wheel = 5 = 1/5
(1/5)(1/5)= 1/25
Answer: D