RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
A.2.5sec
B.4.25sec
C.5sec
D.12.5sec
Answer: A.2.5sec
Explanation: Answer: Option A
Speed = 144 * 5/18 = 40 m/sec
Time taken = 100/40 = 2.5 sec.
Question: Gold is 10 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 6 times as heavy as water?
A.3:2
B.1:4
C.3:1
D.5:2
Answer: B.1:4
Explanation: G = 10W
C = 5W
Let 1gm of gold mixed with x gm of copper to get 1+x gm of the alloy
1gm gold + x gm copper = x+1 gm of alloy
10W+5Wx = x+1 * 6W
10+5x = 6(x+1)
x = 4
Ratio of gold with copper = 1:4 = 1:4
Answer is B
Question: If x is a positive integer, which of the following could NOT be the square of x?
A.9526
B.4532
C.4066
D.6515
Answer: B.4532
Explanation: A number ending in 2 cannot be a perfect square.
4532 ends in a number 2, making that the correct answer
(B) 4532
Question: 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?
A.65
B.67
C.68
D.69
Answer: D.69
Explanation: Explanation :
Let the sum of current ages of 6 persons = x
Given Average age of 6 person after 2 years = 43
=> x+6(2)/6=43
=> x+12=258
= x=246
Let the seventh's person age will be y
Given Current average age of 7 persons = 45
[Sum of current 6 person's age (x) + Seventh person's age (y)] /7= 45
=> 246+y=45(7)
=> y= 315 -246
=> y = 69
Hence Seventh person's age = 69
Hence (D) is the correct answer.
Answer : D
Question: In a class of 60 students, 20 did not opt for math. 15 did not opt for science and 5 did not opt for either. How many students of the class opted for both math and science?
A.23
B.25
C.27
D.30
Answer: D.30
Explanation: 60 students total
20 did not opt for math
15 did not opt for science
5 did not opt for either
Total of 40 students in math and 10 did not opt for sci but did for math
40-10=30
30 students of the class opted for both math and science
Answer:
D. 30
Question: If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
A.1
B.7
C.8
D.9
Answer: D.9
Explanation: C = 1/4 - 1/12 – 1/18 = 1/9 => 9 days'
Answer: D
Question: A rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. If the carpet squares cost $10 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
A. $200
B. $240
C. $480
D. $960
Answer: A. $200
Explanation: The width of the rectangular floor(8 m) is a multiple of one side of the square(2 m), and the length of the floor(10 m) is also a multiple of the side of the square. So the number of carpets to cover the floor is (8/2)*(10/2)=20.
The total cost is 20*10=$200.
The answer is, therefore, A.
Question: If 25% of(x-y) = 15% of(x+y), then what percent of x is y?
A.20%
B.15%
C.30%
D.25%
Answer: D.25%
Explanation: Explanation :
Solution: 25% of(x-y) = 15% of(x+y)
25(x-y)/100 = 15(x+y)/100
5(x-y) = 3 (x+y)
x = 4y.
.'. Required percentage = (y*100/x)% = y*100/4y = 25%
Answer : D
Question: When a certain number X is divided by 54, the remainder is 22. What is the remainder when X is divided by 18?
A.3
B.1
C.2
D.4
Answer: D.4
Explanation: Let possible value of x is 76
least possible value of x/18 is 76/18 =>4 quotient with remainder 4
Thus answer is (D) 4
Question: If y is 60% greater than x, than x is what % less than y?
A.29.3%
B.33.4%
C.37.5%
D.41.6%
Answer: C.37.5%
Explanation: y = 1.6x
x = y/1.6 = 10y/16 = 5y/8
x is 3/8 less which is 37.5% less than y.
The answer is C.
Question: Ayesha’s father was 38 years of age when she was born while her mother was 31 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A.2 years
B.4 years
C.11 years
D.8 years
Answer: C.11 years
Explanation: EXPLANATION
Mother’s age when Ayesha’s brother was born = 31 years.
Father’s age when Ayesha’s brother was born = (38 + 4) years = 42 years.
Required difference = (42 – 31) years = 11 years.
Answer C
Question: The difference between the ages of two persons is 11 years. Ten years ago, the elder one was twice as old as the younger one. The present age of the elder person is
A.18
B.19
C.20
D.17
Answer: A.18
Explanation: Let their ages of x years and (x + 11) years respectively.
Then, (x + 11) - 10 = 2(x - 10)
⇔ x +1 = 2x - 20
⇔ 3x = 21.
∴ Present age of the elder person = (7 + 11)
= 18years.
Answer :18 years
Question: There is 66x33m rectangular area. Ram is 11/8 times faster than Krishna. Both of them started walking at opposite ends and they met at some point then, Ram said "See you in the other end" Then they continued walking. After some time Ram thought he will have tea so he turned back walked back 15 meters then he changed his mind again and continued walking .How much Krishna has traveled by the time they meet?
A.93
B.34
C.95
D.96
Answer: D.96
Explanation: let x be the distance between the point they first met
total time taken by the two willbe equal
so (x+30)*8/11 = (198-x)
x= 102m
distance travelled by krishna= 198-102 = 96m
ANSWER:D
Question: A boy runs 200 metres in 30 seconds. What is his speed ?
A.20 km/hr
B.24 km/hr
C.30 km/hr
D.32 km/hr
Answer: B.24 km/hr
Explanation: 200/30 * 18/5 = 24 km/hr
ANSWER:B
Question: If y = 2 + 2K and y≠0y≠0, then 1/y + 1/y + 1/y + 1/y = ?
A.1/(8+8k)
B.2/(1+k)
C.1/(8+k)
D.4/(8+k)
Answer: B.2/(1+k)
Explanation: 1/Y + 1/Y + 1/Y + 1/Y
= 4/Y
= 4/(2 + 2K)
= 2/(1 + K)
ANSWER:B
Question: In a simultaneous throw of 2 dice, what is the probability of not getting a doublet?
A.2/3
B.1/6
C.4/7
D.5/6
Answer: D.5/6
Explanation: n(S) = 6*6 = 36
E = event of not getting a doublet = 36- event of getting a doublet= 36-6 =30
{(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}
Probability = 30/36 = 5/6
Answer is D
Question: 11, 13, 17, 19, 23, 29, 31, 37, 41, ?
A.47
B.43
C.51
D.53
Answer: B.43
Explanation: B
43
The series consists of prime numbers.
Question: One fourth of one third of two fifth of a number is 16. What will be40% of that number
A.140
B.150
C.180
D.192
Answer: D.192
Explanation: Explanation:
(1/4) * (1/3) * (2/5) * x = 16 then x = 16 * 30 = 480
40% of 480 = 192
Answer: Option D
Question: A man deposited 20% of 25% of 30% of an amount in a bank. If he deposited 750 then what was amount he had initially
A.55000
B.50000
C.40000
D.30000
Answer: B.50000
Explanation: if(20/100)*
(25/100)*(30/100)*x=750
then x=50000.
ANSWER:B
Question: There are 11engineers and 7 civil engineers in a company. Theyare selecting member for row. In how many ways can they be seated in a row so that no two of the civil engineers will sit together?
A.9!×11!/5!
B.11!×12!
C.11!×12!/5!
D.12!/5!
Answer: C.11!×12!/5!
Explanation: 11 software engineers can be arranged in 11! ways. ...(A)
Now we need to arrange civil engineers such that no two civil engineers can be seated together. i.e., we can arrange 7 civil engineers in any of the 12 (=11+1) positions marked as * below.
* 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 *
(where 1, 2… 11 represent software engineers)
This can be done in 12P7 ways. ...(B)
From (A) and (B),
required number of ways
= 11! × 12P7
=11!×12!/5!
C
Question: A letter lock consists of three rings each marked with EIGHT different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
A.4002
B.4090
C.4095
D.177
Answer: C.4095
Explanation: Since each ring consists of eight different letters, the total number of attempts possible with the three rings is
= 8 * 8 * 8 = 4096. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts = 4096 - 1
= 4095
Answer:C
Question: A, B, C started a business with their investments in the ratio 1:3 :5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :
A.5 : 6 : 18
B.5 : 6 : 12
C.5 : 6 : 11
D.5 : 6 : 10
Answer: D.5 : 6 : 10
Explanation: Let their initial investments be x, 3x and 5x respectively. Then,
20x : 24x : 40x = 5 : 6 : 10
Answer: D) 5 : 6 : 10
Question: The temperature of a certain cup of coffee 30 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F = 120*2^(-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?
A.65
B.120
C.80
D.85
Answer: B.120
Explanation: First, we have to find a.
We know that after t=30 minutes the temperature F=120 degrees.
Hence:
120 = 120*(2^-30a)+60
60 = 120*(2^-30a)
60/120 = 2^-30a
1/2 = 2^-30a
2^-1 = 2^-30a
-1 = -30a
1/30 = a
Now we need to find F after t=30 minutes:
F = 120*(2^-1/30*30)+60
F = 120* (2^-1) +60
F = 120* (1/2^1) +60
F = 120*1/2 +60
F = 60+60 = 120
Answer B!
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
A.Rs.45
B.Rs.78
C.Rs.44
D.Rs.40
Answer: C.Rs.44
Explanation: π (152 - 132) = 176
176 * 1/4 = Rs.44
ANSWER:C
Question: The no. of girls in a class are seven times the no. of boys, which value can neverbe the of total students?
A.4
B.5
C.8
D.10
Answer: C.8
Explanation: Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8.
C
Question: The ratio of investments of A, B and C is 5:7:7. If they share the profit in the ratio of 5:9:14, then find the ratio of their periods of investments.
A.1:1:2
B.3:5:6
C.3:2:4
D.2:4:3
Answer: A.1:1:2
Explanation: The ratio of investments of A, B and C is 5:9:7.
The ratio of shares of A, B and C is 5:9:14.
Therefore, Ratio of their periods of investments is
(5/5) : (9/9) : (14/7) = 1:1:2
ANSWER:A
Question: Replace the ? by the correct Mathematics symbol to make the expression true
10 ? 10 ? 4 ? 7 = 12
A.10 ÷ 10 x 4 - 7 = 12
B.10 + 10 ÷ 4 + 7 = 12
C.10 x 10 + 4 - 7 = 12
D.10 x 10 ÷ 4 + 7 = 12
Answer: B.10 + 10 ÷ 4 + 7 = 12
Explanation: Answer : B
Question: If 144/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer.
II. 12/x is an integer.
III. 36/x is an integer.
A.I only
B.III only
C.I and II only
D.II and III only
Answer: B.III only
Explanation: The largest possible value of x is 36 (the greatest common factor of 144 and 108), and if x=36 then ONLY III is true.
Answer: B.
Question: The average score of a cricketer in 6 matches is 27 and in other 4 matches is 32. Then find the average score in all the 10 matches?
A.25
B.27
C.30
D.29
Answer: D.29
Explanation: Average in 10 matches = (6*27 + 4*32)/6+4 = 162+128/ 10 = 290/10 = 29
Answer is D
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 15% while buying and by 20% while selling. What is his percentage profit?
A.10.22%
B.20.22%
C.21.22%
D.43.75%
Answer: D.43.75%
Explanation: The owner buys 100 kg but actually gets 115kg;
The owner sells 100 kg but actually gives 80kg;
Profit: (115-80)/80*100=~43.75%
Answer: D.
Question: Tough and Tricky questions: Mixture Problems.
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 36 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture?
A.2:5
B.5:14
C.3:5
D.4:15
Answer: D.4:15
Explanation: Answer = D) 4:15
........................ Rum ..................... Coke ................. Total
First Drink ........... 2 ............................ 4 ..................... 6 (Ratio 1:2)
Second Drink ....... 8 ............................. 24 ................... 32 (Ratio 1:3)
Total .................. 10 ............................. 28 .................... 38
Ratio = 8:30 = 4:15
D
Question: A furniture manufacturer has two machines, but only one can be used at a time. Machine W is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine W can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
A.14
B.13
C.11
D.9
Answer: D.9
Explanation: 'Approximately' could actually make such a question ambiguous. Not this one though but a similar question with the answer as 9.2 days. You round off 8.89 days as 9 days and everything is fine in this question. What do you do when you get 9.2 days? Do you need 9 days or 10 days? Can you round off 9.2 as 9 even though that is what you do with numbers? No, because in 9 days your work is not over. You do need 10 days.
To finish a work Machine W say you need to work full 9 days and a part of the 10th day. If I ask you how many days do you need to complete the work, will you say 9 or 10? You will say 10 even if you don't use the 10th day fully=D
Question: 6 men, 8 women and 6 children complete a job for a sum of Rs.950. If their individual wages are in the ratio 4:3:2, the total money earned by the children is
A.Rs. 150
B.Rs. 170
C.Rs. 180
D.Rs. 190
Answer: D.Rs. 190
Explanation: Explanation:
Ratio of wages of 6 men, 8 women and 6 children = 6 x 4 : 8 x 3 : 6 x 2
= 24 : 24 : 12
= 2 : 2 : 1
Money earned by children = 950 x (1/5) = Rs. 190
Answer: Option D
Question: Second Saturday and every Sunday is a holiday. How many working days will be there in a month of 30 days beginning on a Saturday?
A.24
B.23
C.18
D.21
Answer: A.24
Explanation: Explanation :
Mentioned month begins on a Saturday and has 30 days
Sundays = 2nd, 9th, 16th, 23rd, 30th
=> Total Sundays = 5
Every second Saturday is holiday.
1 second Saturday in every month
Total days in the month = 30
Total working days = 30 - (5 + 1) = 24. Answer : Option A
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
A.135
B.144
C.145
D.146
Answer: B.144
Explanation: The word MEADOWS has 7 letters of which 3 are vowels.
-V-V-V-
As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways.
Hence the total ways are 24 * 6 = 144.
Answer:B
Question: In how many ways can 5 boys and 3 girls be seated on 8 chairs so that no two girls are together?
A.A)5760
B.B)14400
C.C)480
D.D)56
Answer: B.B)14400
Explanation: Consider the following arrangement:
*B*B*B*B*B*
Now, if girls occupy the places of 6 stars no girls will be together.
# of ways 3 girls can occupy the places of these 6 stars is C36=20;
# of ways 3 girls can be arranged on these places is 3!=6
# of ways 5 boys can be arranged is 5!=120
So total # of ways to arrange 3 Girls and 5 boys so that no girls are together is 20∗6∗120=14,400
ANS:B
Question: A combustion reaction forms carbon dioxide. A carbon dioxide molecule contains one carbon and two oxygen atoms. If, over a period of 10 minutes, a combustion reaction creates 10,000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute?
A.1,000
B.500
C.250
D.50
Answer: A.1,000
Explanation: Solution:
10,000 carbon dioxide molecules are created over a period of 10 minutes. Therefore 10,000/10 = 1,000 carbon dioxide molecules are created on average per minute
Each carbon dioxide molecule contains one carbon atom and two oxygen atoms. So 1,000 carbon dioxide molecules contain 1 × 1,000 = 1,000 carbon atoms and 2 × 1,000 = 2,000 oxygen atoms. The difference is 2,000 – 1,000 = 1,000.
The correct answer is A.
Question: There is a 40% chance that Germany will not win at all during the whole season. There is a 50% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Germany will win and Federer will play during the season?
A. 50%
B. 60%
C. 70%
D. 72%
Answer: A. 50%
Explanation: There is a 40% chance that Germany will not win at all during the whole season
We can infer that there is 60% chance Germany will win .
Similarly There is a 50% chance that Federer will not play at all in the whole season
We can also infer that there is 50% chance that Federer will play.
Answer A
Question: Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 20 km apart, if they walk in the same direction?
A.5hours
B.10hours
C.8hours
D.10hours
Answer: B.10hours
Explanation: To be 2km apart they take 1 hour
To be 10km apart they take = 1/2 * 20 =10 hours
Answer is B
Question: Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
A.9
B.8
C.6
D.45
Answer: C.6
Explanation: There are five letters in the given word.
Consider 5 blanks ....
The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways.
The number of words
= 3! = 6.
Answer:C
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
A.1/5
B.1/2
C.1/3
D.1/9
Answer: B.1/2
Explanation: The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then
= 18/36 = 1/2
P(E) = 1 - 1/2
= 1/2.
Answer: B
Question: The perimeters of two squares are 40cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
A.22
B.24
C.77
D.99
Answer: B.24
Explanation: Explanation:
side of first square = 40/4 =10cm
side of second square = 32/4 = 8cm
area of third squre = 10² - 8² = 36 sq cm
side of third square = \inline {\color{Black}\sqrt{36}} = 6 cm
required perimeter = 6*4 = 24cm
Answer: B) 24
Question: The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
A.20,20
B.20,10
C.25,15
D.30,10
Answer: D.30,10
Explanation: Explanation:
Let their ages be x and (x + 20) years.
5 (x - 5) = (x + 20 - 5) or 4x = 40 or x = 10.
Their present ages are 30 years and 10 years
Answer: Option D
Question: The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
A.19
B.21
C.23
D.27
Answer: C.23
Explanation: Let the average age of the whole team be x years.
11x - (26 + 29) = 9 (x - 1)
=> 11x - 9x = 46
=> 2x = 46
=> x = 23.
So, average age of the team is 23 years.
C
Question: Excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 35 kmph.For how many minutes does the bus stop per hour?
A.17 minutes
B.18 minutes
C.19 minutes
D.16 minutes
Answer: B.18 minutes
Explanation: Explanation :
In one hour
Due to stoppages, it covers 15 km less.
Time taken to cover 15 km = [15/50 * 60] min = 18 min
Answer : B
Question: All possible two factors products are formed from the numbers 1, 2, 3, 4, ....., 200. The number of factors out of total obtained which are multiples of 5 is
A.5040
B.7180
C.8150
D.7280
Answer: B.7180
Explanation: The total number of two factor products = 200C2. The number of numbers from 1 to 200 which are not multiples of 5 is 160. Therefore the total number of two factor products which are not multiple of 5 is 160C2. Hence,the required number of factors which are multiples of 5 = 200C2 – 160C2 = 7180.
Answer B
Question: A milk man has 30 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:
A.20%
B.25%
C.33.33%
D.35%
Answer: D.35%
Explanation: Explanation:
when the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 30 liters of milk.
Therefore, profit percentage = 35 %. Answer: D
Question: Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to
work and 20 seconds per block to ride his bicycle to work. If it takes him exactly
8 minutes more to walk to work than to ride his bicycle, then x equals
A.4
B.7
C.12
D.15
Answer: C.12
Explanation: The best way would be...
Per km, he takes 40 secs extra if he walks
So he will take 8 mins or 8*60 secs in 8*60/40 =12 km
ANSWER:C
Question: Mr.Parkin invested in Fund Z and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund Z paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund Z.How much did Ms. Morris invest in Fund Z?
A. $32,000
B. $36,000
C. $40,000
D. $42,000
Answer: D. $42,000
Explanation: 0.17B-0.23Z = 200 | * 100
17B-23Z=20,000
Z+B=100,000
B=100,000 - Z
17(100,000 - Z) - 23Z = 20,000
1,700,000 - 17Z - 23Z = 20,000
1,680,000 = 40Z
divide by 40
first two digits: 42...so answer is D.
Question: 2 is what percent of 40?
A.0.2%
B.2%
C.5%
D.20%
Answer: C.5%
Explanation: 2= x*40/100
x = 5%
Ans; C
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
2 * 7 * 9 =?
A.65
B.68
C.72
D.80
Answer: A.65
Explanation: (9 * 7) + 2 = 65
A
Question: A woman begins bicycling with a pace of 8 kmph and she increases her pace every hour by 2 kmph. She does not increase her pace as soon as her pace reaches her maximum speed of 12 kmph. How many hours did she bicycle if she traveled 64 kms?
A.6 1â„7 hours
B.6 2â„7 hours
C.8 2â„7 hours
D.5 5â„6 hours
Answer: D.5 5â„6 hours
Explanation: Distance covered in first hour = 8 Ã— 1 = 8 km
Distance covered in next hour = 10 Ã— 1 = 10 km
Distance covered in next hour = 12 Ã— 1 = 12 km
Distance covered in first three hours
8 + 10 + 12 = 30 km
Remaining distance = 64 â€“ 30 = 34 km.
Now, this distance will be covered at the speed of 12 km/hr.
âˆ´ Time taken = 34â„12 = 17â„6 hour.
Total time= 3 + 1â„3 = 3 17â„6 hour = 5 5â„6 hour
Answer D
Question: Using all the letters of the word "NOKIASED", how many words can be formed, which begin with N and end with A?
A.800
B.720
C.900
D.300
Answer: B.720
Explanation: There are five letters in the given word.
Consider 8 blanks ....
The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 6! ways.
The number of words = 6! = 720.
Answer:B
Question: A man has Rs. 320 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.37
B.38
C.60
D.90
Answer: C.60
Explanation: Let number of notes of each denomination be x.
Then, x + 5x + 10x = 320 16x = 320 x = 20.
Hence, total number of notes = 3x = 60.
Answer:C
Question: The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 6 cm each. The radius of the sphere is
A.3 cm
B.4 cm
C.6 cm
D.8 cm
Answer: A.3 cm
Explanation: Solution
4Î R2	= 2Î 3x6
â‡’ R2 = (3x6/2)
â‡’ 9
â‡’ R = 3 cm.
Answer A
Question: A man can row upstream at 15 kmph and downstream at 25 kmph, and then find the speed of the man in still water?
A.27
B.29
C.30
D.20
Answer: D.20
Explanation: US = 15
DS = 25
M = (15 + 25)/2
= 20
Answer:D
Question: Perimeter of the back wheel = 9 feet, front wheel = 7 feet on a certain distance, the front wheel gets 10 revolutions more than the back wheel .What is the distance?
A.315
B.325
C.335
D.345
Answer: A.315
Explanation: for 1 revolution:front wheel goes 7 ft.and back wheel goes 9feet.
let distance is x feet.
x/7=(x/9)+10
or,2x/63=10
or,x=(10*63)/2
therefore,x=315 ANSWER:A
Question: Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 31~ ?
A.2
B.1
C.0
D.8
Answer: C.0
Explanation: n~ = (n-1)!
so 31~ = (31-1)! = 30!
when 30!/31 we have 16*2 inside 30!
hence 31 gets cancelled and we get remainder as 0
C