divelab/Sys2Bench huggingface dataset:
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Options:
A)2
B)8
C)9
D)1
E)6
Rationale: 30 --- 3 DS = 10
? ---- 1
18 ---- 3 US = 6
? ---- 1 M = ?
M = (10 + 6)/2 = 8
Answer:B
Answer: B
Question: What is the highest integer that is the sum of 2 distinct prime integers, each lesser than 60 ?
Options:
A)107
B)112
C)113
D)129
E)136
Rationale: A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc.
Immediate two prime numbers before 60 are - 59 and 53
Sum = 59 + 53 = 112
Answer - B
Answer: B
Question: What is the angle between the minute and the hour hand of the clock which shows 12:24?
Options:
A)115
B)120
C)124
D)130
E)132
Rationale: At 12:24
-minute hand will be at 24*6 = 144 degrees from position of 12.
- Hour hand will move by 2*6 = 12 degree during the same time
So the difference between the two hands will be 144-12 = 132 degrees. ANSWER:E
Answer: E
Question: In a certain game there are 10 steps, referred to as step 1, step 2, and so on with the final step being step 10. The steps are played one after the other. In each step a score of 1, 2, 3, 4, or 5 is obtained. Mary played the game, getting at least one score of each of 1, 2, 3, 4, and 5, and never getting the same score in consecutive steps. What is the greatest possible score that Andrea could have gotten?
Options:
A)25
B)28
C)24
D)32
E)30
Rationale: There are two conditions:
1. Mary got at least one score of each of 1, 2, 3, 4, and 5.
2. She never got the same score in consecutive steps.
Taking that into account, the greatest possible score that Mary could have gotten is 5 + 1 + 5 + 2 + 5 + 3 + 5 + 4 = 30.
Answer: E
Answer: E
Question: The only items of clothing at Michelle’s Boutique are 4 shirts, 8 pairs of pants and 18 ties. What is the probability of randomly selecting 2 ties out of all the items in Michelle’s Boutique?
Options:
A)51/145
B)9/25
C)3/5
D)94/145
E)5/6
Rationale: We have 4 shirts, 8 pairs of pants and 18 ties. i.e 30 items
Total ways of picking two items out of all = 30C2 = 435
Total ways of picking two items out of all TIES = 18C2 = 153
Required Probability = 153/435 = 51/145
Answer: Option A
Answer: A
Question: If 20 liters of chemical X are added to 80 liters of a mixture that is 15% chemical X and 85% chemical Y, then what percentage of the resulting mixture is chemical X?
Options:
A)30%
B)32%
C)35%
D)38%
E)40%
Rationale: The amount of chemical X in the solution is 20 +0.15(80) = 32 liters.
32 liters / 100 liters = 32%
The answer is B.
Answer: B
Question: If d is the standard deviation a, b, and c, what is the standard deviation of a +2, b + 2, c + 2 ?
Options:
A)2d
B)d
C)2d+2
D)8d
E)2d+4
Rationale: CONCEPT: Standard Deviation is Defined as Average Deviation of Terms in the set from the Mean value of the set. i.e.
1) It depends on the separation between the successive terms of the set
2) If a Constant Value is Added/Subtracted in every terms of set then the Separation between successive terms does NOT change Hence S.D. remains Constant
e.g.{1, 2, 3, 4, 5} will have same standard Deviation as {1+10, 2+10, 3+10, 4+10, 5+10}
3) If a Constant Value is Multiplied in every terms then the Separation between succesive terms gets multiplied by the constant Hence S.D. remains gets multiplied by same Number
e.g. {0.7, 1.4, 2.1, 2.8, 3.5} will have Standard Deviation = 0.7* Standard deviation of set {1, 2, 3, 4, 5}
When 2 is added in each term of set {a, b,c} then the new set {a+2, b+2, c+2} will remain same as the previous standard deviation i.e. d
Answer: B
Answer: B
Question: Of the 150 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 10 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
Options:
A)10
B)30
C)50
D)80
E)100
Rationale: Full time employee who have NOT worked for at least one year = a
Full time employee who have worked for at least one year = b
NON Full time employee who have worked for at least one year = c
NON Full time employee who have NOT worked for at least one year = d
a+b+c+d = 150
a+b = 80
i.e. c+d = 70
b+c = 100
i.e. a+d = 50
d = 20
i.e. c = 70-20 = 50
i.e. b = 100-50 = 50
i.e. a = 80-50 = 30
b = 10
Answer: Option A
Answer: A
Question: Simplify
16âˆ’[2âˆ’(6+2(7âˆ’8âˆ’5Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯))]
Options:
A)23
B)25
C)28
D)30
E)32
Rationale: Explanation:
=16âˆ’[2âˆ’(6+2(7âˆ’8+5))]
(Please check due to overline, sign has been changed)
=16âˆ’[2âˆ’(6+2Ã—4))]
=16âˆ’[âˆ’12]=16+12=28
Option C
Answer: C
Question: Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 2,000, how much money did investors B and C earn in total?
Options:
A)$4,000
B)$6,000
C)$5,600
D)$9,500
E)$10,500
Rationale: Let profit for A = 5x
profit for B = 7x
profit for C = 8x
Investor A earned = 2000
5x = 2000=>x=400
Total profit for B and C = 7x+ 8x = 15x
Therefore , 15x = 15*400= 6,000
Answer B
Answer: B
Question: Sandy walks around a circular field at the rate of one round per hour while Molly runs around it at the rate of seven rounds per hour. If they start in the same direction from the same point, how many minutes will it take until they meet again?
Options:
A)5
B)8
C)10
D)12
E)15
Rationale: Since Sandy and Molly move in the same direction along the circle, they will first meet each other when there is a difference of one round between the two.
The relative speed of Sandy and Molly is 7 - 1 = 6 rounds per hour.
The time required to complete one round at this speed is 1/6 hours = 10 minutes.
The answer is C.
Answer: C
Question: In each term of a sequence, 5 is added to get the next term. If the first term is 3, what is the seventy-first term?
Options:
A) 332
B) 353
C) 312
D) 360
E) 387
Rationale: 1rst term + 70 terms = 3 + 5+5+5+5+5+5+5+...+5 (70 times)
3 + (5 x 70) = 3 + 350 = 353
Answer B
Answer: B
Question: If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: x = 8q +2
x +9 =8q+2+9
8q+11 this can be furthur written as 8q +8 +3 = 8(q+1)+3
Remainder 3. Ans D.
Answer: D
Question: 8 x 2.25- 5 x 0.85/2.5= ?
Options:
A)3.8
B)10
C)5
D)5.5
E)7.5
Rationale: Given Expression
= (18-4.25/2.5
= 13.75/2.5= 137.5/25
= 5.5
Answer is D.
Answer: D
Question: Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same Job.How long should it take both A and B, working together but independently, to do the same job?
Options:
A)70 hours
B)40/9 hours
C)9 hours
D)16 hours
E)20 hours
Rationale: A’s 1 hour's work = 1/8
B's 1 hour's work = 1/10
(A + B)'s 1 hour's work = (1/8) +(1/10)=9/40
Both A and B will finish the work in 40/9 days.
Option B is answer
Answer: B
Question: David bought 4 pens with the average cost of $2. If David also buys the fifth pen with the price of $ 3, what is the average (arithmetic mean) price of those 5 pens?
Options:
A)$2.2
B)$2
C)$3.2
D)$4
E)$5.2
Rationale: 4 pens -> Total cost = 4 * Avg cost = 4*2 = 8
Fifth pen cost = 3
Total cost for 5 pens= 8+3 = 11
AM = 11/5 = 2.2
Hence B
Answer: B
Question: What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.?
Options:
A)rs.600
B)rs.601
C)rs.602
D)rs.603
E)None of these
Rationale: Explanation:
PW = Amount/(1+R100)T.
Answer: C
Answer: C
Question: The ratio between the speeds of two trains is 7: 8. If the second train runs 440 kms in 4 hours, then the speed of the first train is:
Options:
A)47.4 km/hr
B)57.19 km/hr
C)68.13 km/hr
D)96.25 km/hr
E)89.16 km/hr
Rationale: Let the speed of two trains be 7x and 8x km/hr.
Then, 8x = (440/4) = 110
x = (110/8) = 13.75
Hence, speed of first train = (7 x 13.75) km/hr = 96.25 km/hr.
Answer : D
Answer: D
Question: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 2 strokes ?
Options:
A)3/4
B)7/8
C)1/4
D)1/8
E)1/16
Rationale: Left After 1st stroke = 1/2
Left After 2nd stroke = 1/2 * 1/2 = 1/4
So removed = 1- 1/4 = 3/4
Answer: A
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Options:
A)126
B)278
C)281
D)280
E)219
Rationale: 80* 7: x* 3 = 1:1 1/2
560: 3x = 2: 3
x = 280
Answer: D
Answer: D
Question: The speed of the boat in still water is 12km/hr. and the speed of the stream is 3km/hr. Find the distance travelled downstream in 12 minutes.
Options:
A)160 km
B)180 km
C)190 km
D)170 km
E)140 km
Rationale: speed of the boat in downstream =speed of the water + speed of the boat
=12+3 =15km/hr Distance travelled in 12 minutes =15 *12 = 180km. Answer : B
Answer: B
Question: If 64(8^x) = 1 then x=
Options:
A)2
B)–1
C)0
D)1
E)-2
Rationale: 8^x = 1/64
8^x = 1/8^2
8^x= 8^-2
x = -2
E
Answer: E
Question: What will be the cost of building a fence around a square plot with area equal to 64 sq ft, if the price per foot of building the fence is Rs. 58?
Options:
A)3944
B)2882
C)2999
D)1856
E)2121
Rationale: Let the side of the square plot be a ft.
a2 = 64 => a = 8
Length of the fence = Perimeter of the plot = 4a = 32 ft.
Cost of building the fence = 32 * 58 = Rs. 1856.
Answer: D
Answer: D
Question: John is filling out the office space for his employees. There are 8 people in his office, and he must assign 8 employees to the following positions: 2 next to his cabin, 2 near the gate, 2 in center, and 2 near coffee machine. Only 2 employees are secretary and can sit next to his cabin, and they cannot sit anywhere else. The other employees can sit anywhere they like. How many different groupings are possible?
Options:
A)100
B)90
C)80
D)70
E)60
Rationale: Secretary can sit in 2C2 ways = 1
Near the gate we can have 6C2 combinations (2 secretaries are already having a place)
In the center we can have 4 C2 employees as 4 already have a place
Near coffee machine we can have 2C2 employees as all other place are taken
Number of selection = 2C2 * 6C2 * 4C2 * 2C2 = 90
Ans: B
Answer: B
Question: What least number should be subtracted from 13605 such that the remainder is divisible by 87 ?
Options:
A)27
B)29
C)28
D)30
E)33
Rationale: 13605 ÷ 87 = 156, remainder = 33
Hence 33 is the least number which can be subtracted from 13605 such that the remainder
is divisible by 87
Answer is E
Answer: E
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
Options:
A)7/19
B)7/11
C)7/10
D)7/21
E)7/15
Rationale: Explanation:
Drawing two balls of same color from seven green balls can be done in ways.
Similarly from eight white balls two can be drawn in ways.
P = 7C2/15C2 + 8C2/15C2 = 7/15
Answer:E
Answer: E
Question: A 9% stock yields 25%. The market value of the stock is:
Options:
A)Rs 45
B)Rs 25
C)Rs 40
D)Rs 39
E)Rs 36
Rationale: Explanation:
For an income of Rs. 25, investment = Rs. 100.
For an income of Rs 9, investment =Rs.100/25 X9 =Rs36
Market value of Rs. 100 stock = Rs 36
Answer is E
Answer: E
Question: The age of Amit is 3 times that of his son. 15 years ago, Amit was 9 times as old as his son, What will be the age of Amit after 15 years?
Options:
A)35 years
B)60 years
C)75 years
D)65 years
E)None of these
Rationale: Let the present age of Amit and his son be x and y respectively.
Then, x = 3y ...(i)
(x -15) = 9(y - 15)
or x - 15 = 9y -135 .
x - 9y = - 120 ...(ii)
Solving (i) and (ii),
we get y = 20 and x = 60
Thus Age of Amit after 15 years = 60 + 15 = 75 years
ANSWER:C
Answer: C
Question: The second day of a month is Friday, What will be the last day of the next month which has 31 days?
Options:
A)Friday
B)Saturday
C)Wednesday
D)Data inadequate
E)None of these
Rationale: Explanation :
We cannot find out the answer because the number of days of the current month is not given. Answer : Option D
Answer: D
Question: Find the odd man out. 0,3,7,15,24
Options:
A)8
B)10
C)9
D)6
E)14
Rationale: 1^2-1=0
2^2-1=3
3^2-1=8
4^2-1=15
5^2-1=24
Hence, it is clear that 8 should have come instead of 7
Answer : Option A
Answer: A
Question: A regular hexagon is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?
Options:
A)48 degrees
B)60 degrees
C)72 degrees
D)84 degrees
E)108 degrees
Rationale: its a regular hexagon so divide the globe by 6.
= 360/6
= 60
72 would be the angle at O.
Angles at A and B are equivalent, so
60 + 2x = 180
2x = 120
x = 60
Angles OAB and OBA will be 60 degrees each.
B
Answer: B
Question: A box measuring 49 inches long by 21 inches wide by 14 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
Options:
A)17
B)42
C)54
D)108
E)864
Rationale: least number of cubes will be required when the cubes that could fit in are biggest.
7 is the biggest number that could divide all three, 49, 21 and 14.
Thus side of cube must be 7, and total number of cubes = 49/7 * 21/7*14/7 = 42
Ans B it is.
Answer: B
Question: If 20% of a = b, then b% of 20 is the same as :
Options:
A)4% of a
B)6% of a
C)8% of a
D)10% of a
E)15 of a
Rationale: 20% of a = b -> 20/100 a = b
b% of 20 = b/100*20 = 4% of a
ANSWER A
Answer: A
Question: What is the total surface area in square meters of a rectangular solid whose length is 9 meters, width is 8 meters, and depth is 5 meters?
Options:
A)152 m2
B)162 m2
C)180 m2
D)300 m2
E)314 m2
Rationale: Surface Area of a cuboid = 2(lb+bh+lh) = 2(9*8+8*5+9*5)=2(72+40+45)=2*157=314 m2
Answer : E
Answer: E
Question: Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 15000 at the end of the year, what should be the share of Narendra?
Options:
A)A)Rs.7000
B)B)Rs.12000
C)C)Rs.8500
D)D)Rs.8600
E)E)Rs.8700
Rationale: The ratio of their investments = 30000 × 12 : 15000 × 6 = 4 : 1.
:. Narendra’s share on profit of Rs.15000 = 15000 × 4/5 = Rs.12000.
B)
Answer: B
Question: In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
Options:
A)3 : 7
B)5 : 7
C)7 : 3
D)7 : 5
E)6 : 5
Rationale: By the rule of alligation:
Cost of 1 kg pulses of 1st kind Rs. 15
Cost of 1 kg pulses of 2nd kind Rs. 20
Mean Price Rs. 16.50
Required rate = 3.50 : 1.50 = 7 : 3.
Answer:C
Answer: C
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 40 min, then the slower pipe alone will be able to fill the tank in?
Options:
A)160
B)787
C)144
D)128
E)121
Rationale: Let the slower pipe alone fill the tank in x min.
Then, faster pipe will fill it in x/3 min.
1/x + 3/x = 1/40
4/x = 1/40 => x = 160 min.
Answer: A
Answer: A
Question: The fourth proportional to 6, 14 and 18 is?
Options:
A)21
B)42
C)77
D)88
E)99
Rationale: (14*18)/6 = 42
Answer: B
Answer: B
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 4:2. What is the ratio of luxury cars to sport utility vehicles?
Options:
A)9:8
B)8:9
C)3:2
D)8:6
E)1:2
Rationale: The ratio of economy to luxury cars is 3:2 --> E:L = 3:2 = 12:8.
The ratio of economy cars to sport utility vehicles is 4:2 --> E:S = 4:2 = 12:6.
Thus, L:S = 8:6.
Answer: D.
Answer: D
Question: It takes 1.5 hours for Tim to mow the lawn. Linda can mow the same lawn in 2 hours. How long will it take John and Linda, work together, to mow the lawn?
Options:
A)51.1 minutes
B)51.3 minutes
C)51.5 minutes
D)51.7 minutes
E)51.9 minutes
Rationale: We first calculate the rate of work of John and Linda
John: 1 / 1.5 and Linda 1 / 2
Let t be the time for John and Linda to mow the Lawn. The work done by John alone is given by
t * (1 / 1.5)
The work done by Linda alone is given by
t * (1 / 2)
When the two work together, their work will be added. Hence
t * (1 / 1.5) + t * (1 / 2) = 1
Multiply all terms by 6
6 (t * (1 / 1.5) + t * (1 / 2) ) = 6
and simplify
4 t + 3 t = 6
Solve for t
t = 6 / 7 hours = 51.5 minutes.
Answer C
Answer: C
Question: find value for x from below equation? x + 1 = 3
Options:
A)-5
B)-4
C)4
D)3
E)2
Rationale: 1. Subtract 1 from both sides:
x + 1 - 1 = 3 - 1
2. Simplify both sides:
x = 2
E
Answer: E
Question: Annie has 100 cards numbered 1 through 100. If she deals five cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?
Options:
A)95!/100!
B)96!/100!
C)(95! X 5!)/100!
D)(96! X 5!)/100!
E)(97! X 4!)/100!
Rationale: Alex to get 5 consecutive cards in ascending order, to have 5 consecutive at the end is good enough.
There are 96 consecutive numbers in 100: {1, 2, 3, 4, 5}, {2, 3, 4, 5, 6}, ..., {96, 97, 98, 99, 100};
Total ways to pick 5 cards out of 100 is C5100C1005;
So, P=\frac{favorable \ outcomes}{total \ # \ of \ outcomes}=\frac{96}{C^5_{100}}=\frac{5!*96!}{100!}.
Answer: D.
Answer: D
Question: If a and b are even numbers, which of the following CANNOT be the value of a-b?
Options:
A)10
B)14
C)21
D)24
E)26
Rationale: 21 is an odd number and the subtraction of two even number should be an even number..
ans C
Answer: C
Question: If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 3 children have two children of the same sex and one of the opposite sex?
Options:
A)1/3
B)2/3
C)1/4
D)3/4
E)3/5
Rationale: Let boy be represented by B and girl by G.
The possible outcomes of two children of same sex and one of opposite sex can be:
BBG OR GBB OR BGB OR GGB OR BGG OR GBG
(1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2)
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 6/8 = 3/4
ANSWER:(D)
Answer: D
Question: The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 62 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Options:
A)62 degrees
B)64 degrees
C)128 degrees
D)66 degrees
E)67 degrees
Rationale: Explanation:
Sum of temperatures on 1st, 2nd, 3rd and 4th days = (58 * 4) = 232 degrees ... (1)
Sum of temperatures on 2nd, 3rd, 4th and 5th days - (62 * 4) = 248 degrees ....(2)
Subtracting (1) From (2), we get :
Temp, on 5th day - Temp on 1st day = 16 degrees.
Let the temperatures on 1st and 5th days be 7x and 8x degrees respectively.
Then, 8x - 7x = 16 or x = 16. Answer: C
Temperature on the 5th day = 8x = 128 degrees.
Answer: C
Question: In a division sum, the quotient is 65, the divisor 24 and the remainder 5, find the dividend?
Options:
A)1595
B)1569
C)1265
D)1555
E)1565
Rationale: Explanation:
65 * 24 + 5 = 1565
Answer : E
Answer: E
Question: The mean of 30 values was 250. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
Options:
A)151
B)149
C)152
D)251
E)None of the above
Rationale: Corrected mean = 250×30−135+165/30
= 7500−135+165/30
=7530/30=251
Answer D
Answer: D
Question: 105*2
Options:
A)11025
B)23889
C)29088
D)1999
E)17710
Rationale: Here d = 5.
100 + 2 ×× 5 / 25 = 11025
Answer:A
Answer: A
Question: If Ram rides his cycle in the speed of 18 km/hr from his office, in what time will he reach his house which is 900 m long from his office?
Options:
A)2
B)4
C)5
D)7
E)3
Rationale: Speed = 18 * 5/18 = 5 m/sec
Time taken = 900/5 = 180 sec ie. 3 mins.
Answer:E
Answer: E
Question: A certain fruit stand sold orange for $0.70 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?
Options:
A)12
B)13
C)14
D)11
E)15
Rationale: Some multiple of 7 + Some multiple of 5 should yield 63. To get to a some multiple of 5, we should ensure that a 3 or 8 (5+3) should be a multiple of 7.
63 is a direct multiple of 7, however in this case there won't be any bananas. Hence the next option is to look for a multiple of 7 that has 8 as the unit digit. 28 satisfies this hence no. of apples is 4 and no of bananas is 7
D
Answer: D
Question: A clock strikes every hour once at 1.00 twice at 2.00 and so on. the clock takes 6 seconds to strike 5.00 and 12 seconds to strike 9.00 the time needed to strike 1.00 is negligible. how long does the clock need for all its striking in 24 hours?
Options:
A)138
B)198
C)267
D)297
E)191
Rationale: The clock takes 12 secs to strike 9.00. So there are 8 gaps between 9 strikings. So the gap between the striking is 12/8 = 1.5 seconds.
To strike 2.00 it takes = 1.5 seconds.
To strike 3.00 it takes = 3 seconds.
To strike 4.00 it takes = 4.5 seconds
................
................
To strike 12.00 it takes = 16.5 seconds.
So it takes a total of 1.5 + 3 + 4.5 + . . . . . . + 16.5 = 1.5 ( 1 + 2 + 3 + .... + 11) = 99 seconds to strike 12 hours.
For 24 hours it takes 99 × 2 = 198 seconds.
Answer:B
Answer: B
Question: The average runs of a cricket player of 10 innings was 32. How many runs must he makes ih his next innings so as to increase his average of runs by 4?
Options:
A)2
B)4
C)70
D)76
E)None
Rationale: Sol.
Average after 11 innings = 36.
Therefore required numbert of runs
= (36 × 11) – (32 × 10)
= 396 - 320
= 76.
Answer D
Answer: D
Question: if 85% of the population of an ant colony is red, and of these 45% are females, then what % of the total ant population are male red ants?
Options:
A)46.75
B)40
C)33.66
D)66.66
E)66.86
Rationale: 55% are males
percentage of male red ants is 55*.85=46.75
ANSWER:A
Answer: A
Question: workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25 lacs . How many workers were they?
Options:
A)200
B)250
C)500
D)550
E)600
Rationale: N * 50 = (325000 - 300000) = 25000
N = 25000 / 50
= 500
C
Answer: C
Question: The smallest value of n, for which 2n+1 is not a prime number, is
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: (2×1 + 1) = 3.
(2×2 + 1) = 5.
(2×3 + 1) = 7.
(2×4 + 1) = 9.
which is not prime , n=4.
ANSWER:B
Answer: B
Question: Y and Z started a business investing Rs. 70,000 and Rs. 30,000 respectively. In what ratio the profit earned after 5 years be divided between Y and Z respectively?
Options:
A)6:3
B)3:7
C)7:3
D)3:6
E)None of these
Rationale: Y:Z = 70000 : 30000 = 7:3.
ANSWER:C
Answer: C
Question: Ravi purchased 20 dozens of toys at the rate of Rs. 350 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Options:
A)23%
B)1.2%
C)13.14%
D)34.1%
E)12.2%
Rationale: C
C.P. of 1 toy = 350/12 = Rs. 29.16
S.P of 1 toy = Rs. 33
Profit = 3.83/31.25 * 100 = 13.14%
Answer: C
Question: For all numbers a and b, the operation is defined by ab = (a + 2)(b – 3).
If 3y = –50, then y =
Options:
A) –15
B) –7
C) 3
D) 6
E) 15
Rationale: (3+2)(y-3)=-50..
y-3=-10..
y=-7
B
Answer: B