divelab/Sys2Bench huggingface dataset:
Question: Ram can do a piece of work in 8 days which Shyam can finish in 12 days. If they work at it on alternate days with Ram beginning, in how many days, the work will be finished?
Options:
A)9 1/3
B)9 1/2
C)9 1/4
D)10 1/3
E)11 1/3
Rationale: (ram+shyam)'s 2 days work = (1/8+1/12) = 5/24
work done in 4 pair of days = (5/24)*4 = 5/6; remaining work = 1-(5/6) = 1/6
work done by ram on 9th day = 1/8; Remaining work = (1/6)-(1/8)= 1/24
On 10th day it is shyam's turn
1/12 work is done by shyam in 1 day
1/24 work is done by shyam in 12*(1/24) = 1/2
total time = (9 + 1/2) day
ANSWER:B
Answer: B
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1.8 cm when a man gets on it. The mass of man is
Options:
A)12 kg
B)60 kg
C)108 kg
D)96 kg
E)None
Rationale: Solution
Volume of water displaced	= (3 x 2 x 0.018)m3
= 0.108m3.
Mass of man	=Volume of water displaced ×Density of water
= (0.108×1000) kg
= 108 kg.
Answer C
Answer: C
Question: John has on his shelf four books of poetry, four novels, and three reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
Options:
A)1/2
B)12/55
C)3/10
D)7/20
E)8/45
Rationale: When we are picking two books, one novel and one reference work, we could either pick a novel first and then a reference book or pick a reference book and then a novel. Therefore the answer is 4/11*3/10 + 3/11*4/10 = 12/55.
Answer: B.
Answer: B
Question: What is the sum of all 5 digit numbers which can be formed with the digits 0,1,2,3,4 without repetation?
Options:
A)2599980
B)235500
C)923580
D)765432
E)765434
Rationale: 10(11111)*4! - 10(1111)3! = 2599980
ANSWER:A
Answer: A
Question: The arithmetic mean of set P is zero. If Q = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of P consisting of all those elements in P which are more than two but less than three standard deviations away from the arithmetic mean of P, what could be equal to the standard deviation of P?
Options:
A)0.54
B)0.77
C)0.82
D)0.97
E)1.62
Rationale: This is a fairly straightforward question that can be solved quickly by just applying the options
We are provided with Mean, m= 0
and Q = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of P
Q consists of all those elements in P that are more than 2 but less than 3 SDs away from the arithmetic mean of P
If an element is 1 PD away from the mean, we can write it as either m + PD or m - PD
Similarly, if an element is 2 PDs away from the mean, we can write it as either m + 2*PD or m - 2*PD
So, if these elements lie within 2 and 3 PDs of mean, m=0
we can find which one of these values of PD satisfies each value within Q
Only PD = 0.77 does
Answer : B
Answer: B
Question: A train 360 m long passed a pole in 30 sec. How long will it take to pass a platform 780 m long?
Options:
A)76 sec
B)89 sec
C)87 sec
D)95 sec
E)16 sec
Rationale: Speed = 360/30 = 12 m/sec.
Required time = (360 + 780)/12
= 95 sec.
Answer:D
Answer: D
Question: The following questions are based on the information given below:
1)A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
2)Two sides measuring 5 cm x 4 cm are coloured in red.
3)Two faces measuring 4 cm x 3 cm are coloured in blue.
4)Two faces measuring 5 cm x 3 cm are coloured in green.
5)Now the block is divided into small cubes of side 1 cm each.
How many small cubes will have will have three faces coloured ?
Options:
A)14
B)8
C)10
D)12
E)16
Rationale: Such cubes are related to the corners of the cuboid and in the cuboid there are 8 corners.
Hence, the required number of small cubes is 8.
Answer :B
Answer: B
Question: A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 40 days as before. How many of them left?
Options:
A)100
B)0
C)200
D)400
E)500
Rationale: 2000 ---- 50
2000 ---- 40
x ----- 40
x*40 = 2000*40
x=2000
2000
-------
0
ANSWER:B
Answer: B
Question: If the order of the letter in the English alphabet is reversed which letter will be the seventh to right of the twelfth letter from the right?
Options:
A)E
B)V
C)F
D)U
E)T
Rationale: Lkjihgfedcba
So ans wiil be
E
ANSWER:A
Answer: A
Question: The proportion of copper and zinc in the brass is 3:7. How much zinc will there be in 100 kg of brass?
Options:
A)70
B)50
C)40
D)270
E)170
Rationale: 7/10 * 100 = 70
ANSWER:A
Answer: A
Question: A meal cost $ 36.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be:
Options:
A)40-42
B)39-41
C)38-40
D)37-39
E)36-37
Rationale: 10%(36.5) = 3.65
15%(36.5) = 5.475
total amount could have been 36.5+3.65 and 36.5+5.475
=> could have been between 40.15 and 41.975
=> approximately between 40 and 42
Answer is A.
Answer: A
Question: If a square mirror has a 20-inch diagonal, what is the approximate perimeter Q of the mirror, in inches?
Options:
A) 40
B) 60
C) 80
D) 100
E) 120
Rationale: if you draw the square and diagonal inside the square. u can see square becomes part of two triangles opposite to each other.
And We know the property of the triangle, addition of two sides of triangle must be greater than its diagonal in order to complete the triangle. And each side must be less than 20 and perimeter Q must be less than 80, so we can eliminate answer choice C, D and E.
so Side 1 + side 2 > 20, that means Side 1 or Side 2 must be > 10. so we can eliminate the answer choice A.
Now we are left with is B
Answer: B
Question: The cost price of a radio is Rs.2550 and it was sold for Rs.2130, find the loss %?
Options:
A)18
B)10
C)15
D)66
E)41
Rationale: 2550 ---- 400
100 ---- ? => 15%
Answer: C
Answer: C
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Options:
A)60%
B)50%
C)25%
D)15%
E)10%
Rationale: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 50 - {both} + 40
{both} = 15%.
Answer: D.
Answer: D
Question: n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4?
Options:
A)3
B)2
C)1
D)0
E)None of these
Rationale: Let n=4q+3.
2n=8q+6=4(2q+1)+2
Thus, when 2n is divided by 4, the remainder is 2.
Correct Option: B
Answer: B
Question: The area of a rectangular plot is 21 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth?
Options:
A)10 metres
B)5 metres
C)11 metres
D)Data inadequate
E)None of these
Rationale: L × B = 21 × B
∴ L = 21 m
and L – B = 10
∴ B = 21 – 10 = 11 m
Answer C
Answer: C
Question: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Options:
A)29
B)38
C)39
D)37
E)75
Rationale: Average = (76 + 65 + 82 + 67 + 85)/5
= 375/5
= 75.
Answer: E
Answer: E
Question: Find the remainder when 6^50 is divided by 215
Options:
A)36
B)99
C)27
D)99
E)17
Rationale: Ans: 650=(63)16.62=21616.62650=(63)16.62=21616.62
So this expression gives a remainder of 36
Answer:A
Answer: A
Question: complete the numerical series with the correct number
5+2+2=101018
9+3+4=273660
8+2+3=162438
5+2+5=102533
7+5+5= ?
Options:
A)468645
B)454586
C)454585
D)454386
E)353565
Rationale: 7+5+5= 353565
Answer : E
Answer: E
Question: Lionel left his house and walked towards Walt's house, 48 miles away. Four hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 3 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt?
Options:
A)12
B)16
C)20
D)24
E)28
Rationale: In the first 4 hours Lionel at the rate of 3 miles per hour covered distance=rate*time=4*3=12 miles. So, the distance between him and Walt was 48-12=36 miles when Walt left his house. Now, their combined rate to cover this distance was 3+6=9 miles per hour, hence they will meet (they will cover that distance) in time=distance/rate=36/9=4 hours. Total time that Lionel was walking is 4+4=8 hours, which means that he covered in that time interval distance=rate*time=3*8=24 miles.
Answer: D.
Answer: D
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.80 less, he could have gained 25%. What is the cost price?
Options:
A)372
B)375
C)278
D)400
E)288
Rationale: CP1 = 100 SP1 = 120
CP2 = 80 SP2 = 80 * (125/100) = 100
20 ----- 100
80 ----- ? => 375
Answer:D
Answer: D
Question: Which of the following is not a prime number ?
Options:
A)743
B)740
C)751
D)757
E)853
Rationale: Clearly, 740 is not a prime number.
Answer : B
Answer: B
Question: In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 7 ounces of corn syrup, how many ounces of water does it contain?
Options:
A)45
B)50
C)55
D)60
E)105
Rationale: F:C:W
1:12:30
Sport version:
F:C
3:12
F:W
1:60
OR 3:180
So C:F:W = 12:3:180
C/W = 12/180 = 3 ounces/x ounces
x = 7*180/12 = 105 ounces of water
E
Answer: E
Question: a1, a5, a13 (terms of AP) are in GP and a6 + a15 =63. Find a23
Options:
A)181/3
B)182/3
C)183/3
D)184/3
E)182/5
Rationale: a1
a5= a1+ 4d
a13= a1+12d
Now a5/a1 = a13/a5---->>a1=4d........(1)
Given a6 + a15=63
----> a1+5d + a1+14d=63
---->2a1+ 19d = 63
---->8d+ 19d=63 from (1)
----> d=63/27= 7/3
so a=4d=4*7/3=28/3 from (1)
a23= a1+ 22d =28/3 +22*7/3
=182/3
ANSWER:B
Answer: B
Question: A, B, C together started a business. A invested Rs.2000 for 5 months B invested Rs.8000 for 6 months and C Rs.14000 for 3 months. If they get a total profit of Rs.2500. Find the share of A?
Options:
A)2999
B)3000
C)2777
D)2999
E)250
Rationale: 1*5:4*6:7*3
5: 24: 21
5/50 * 2500 = 250
Answer:E
Answer: E
Question: (800/64) x (1296/36)=?
Options:
A)420
B)460
C)500
D)540
E)None of them
Rationale: =800/64 x 1296/36
=12.5 x 36
=450
Answer is E
Answer: E
Question: If 3x – 5y = 5 and x/x+y=5/7, then what is the value of x – y?
Options:
A)9
B)6
C)4
D)3
E)None of these
Rationale: 3x – 5y = 5...(i)
And xx+y=57xx+y=57
⇒ 7x = 5x+ 5y
⇒ 2x = 5y... (ii)
From (i) and (ii), x = 5 and y = 2
∴ x – y = 3
Answer D
Answer: D
Question: In shop contains 500 articles each of a cost of $10. He sold them at a price of $13. If the shop keeper has a order of 200 articles, how much profit he will get?
Options:
A)A)200
B)B)2000
C)C)1500
D)D)600
E)E)700
Rationale: Total money after selling articles = 200*13 = 2600
cost price = 200*10 = 2000
profit = 600
correct option is D
Answer: D
Question: The speed of a boat in still water in 18 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 14 minutes is:
Options:
A)11.4 km
B)10.9 km
C)10.4 km
D)6.06 km
E)12.56 km
Rationale: Explanation:
Speed downstream = (18 + 6) = 24 kmph
Time = 14 minutes = 14/60 hour = 7/30 hour
Distance travelled = Time × speed = (7/30)×26 = 6.06 km
Answer: Option D
Answer: D
Question: If x + y + z + w = 15, then at least k of the numbers x, y, z, w must be positive, where k is :
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: straight forward question if you realize that 4 negative numbers when added can NEVER give you a positive sum. This directly eliminates A.
As we are given that x+y+z+w=15 and we need to find what is the least number of variables out of the 4 given (x,y,z,w) that need to be positive to adhere to x+y+z+w=15 ,
Consider any large value for x = 45 and -15,-10 and -5 for y,z,w respectively to give you x+y+z+w=15.
Thus k =1 for 'k' value to be the least.
ANSWER:B
Answer: B
Question: A rectangular table seats 5 people on each of two sides, with every person directly facing another person across the table. If 10 people choose their seats at random, what is probability that person P directly faces person Q?
Options:
A)1/10
B)1/9
C)1/8
D)1/7
E)1/6
Rationale: Person P will be seated somewhere at the table.
Each of the other 9 people has an equal chance of sitting opposite person P.
The probability that person Q sits across is 1/9.
The answer is B.
Answer: B
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Options:
A)187.5 m
B)127.5 m
C)277.5 m
D)727.5 m
E)777.5 m
Rationale: Explanation:
When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.
When B runs 900 m, distance that C runs = (900 * 700)/800 = 6300/8 = 787.5 m.
In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.
In a race of 600 m, the number of meters by which A beats C = (600 * 212.5)/1000 = 127.5 m.
Answer: B
Answer: B
Question: In an objective test, a correct answer scores 4 marks, and a wrong answer scores 2 marks. A student scores 480 marks from 150 questions. how many answers are correct?
Options:
A)90
B)80
C)70
D)60
E)50
Rationale: if all ans. right the marks=4*150=600
but score=480
wrong attempt marks=600-480=120
wrong ans.=120/2=60
right ans.=150-60=90.
ANSWER:A
Answer: A
Question: By using the numbers 1, 2, 5, 7 and 9 only once, how many five digit numbers can be made that are divisible by 25?
Options:
A)11
B)12
C)5
D)10
E)9
Rationale: A number to be divisible by 25 must end with 00, 25, 50, or 75.
So, there are the following cases possible:
179-25 --> the first three digits can be arranged in 3=6 ways.
129-75 --> the first three digits can be arranged in 3=6 ways.
Total = 6 + 6 = 12.
Answer: B.
Answer: B
Question: When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 75.
Options:
A)3
B)4
C)12
D)32
E)35
Rationale: First, let us say I have a number n which is divisible by 5 and by 7. We all agree that it will be divisible by 35, the LCM of 5 and 7.
Now, if I have a number n which when divided by 5 gives a remainder 1 and when divided by 7 gives a remainder 1, we can say the number is of the form
n = 5a + 1 e.g. 5 + 1, 10 + 1, 15 + 1, 20 + 1, 25 + 1, 30 + 1, 35 + 1 etc
and
n = 7b + 1 e.g. 7 + 1, 14 + 1, 21 + 1, 28 + 1, 35 + 1 etc
So when it is divided by the LCM, 35, it will give 1 as remainder (as is apparent above)
Next, if I have a number n which when divided by 5 gives a remainder 1 and when divided by 7 gives a remainder 3, we can say the number is of the form
n = 5a + 1
and
n = 7b + 3
Now, the only thing you should try to understand here is that when n is divided by 5 and if I say the remainder is 1, it is the same as saying the remainder is -4. e.g. When 6 is divided by 5, remainder is 1 because it is 1 more than a multiple of 5. I can also say it is 4 less than the next multiple of 5, can't I? 6 is one more than 5, but 4 less than 10.
Therefore, we can say n = 5x - 4 and n = 7y - 4 (A remainder of 3 when divided by 7 is the same as getting a remainder of -4)
Now this question is exactly like the question above. So when you divide n by 75, remainder will be -4 i.e. n will be 4 less than a multiple of 75. So you must add 35 to n to make it a multiple of75
E
Answer: E
Question: What percent of 120 are 90?
Options:
A)78%
B)85%
C)75%
D)72%
E)23%
Rationale: (?% /100) * 120 = 90
? = 75%
Answer:C
Answer: C
Question: If p=125×243×16/405, how many digits are in p?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: p = 125 * 243 * 16 / 405
p= 5^3 * 3 * 9^2 * 4^2 / (5 * 9^2)
p= 5^2 * 3 * 4^2
p = 20^2 * 3 = 1200
answer D
Answer: D
Question: If x<0, y>0, and |x| < |y|, which of the following must be true?
Options:
A)x > y
B)y^2 > x^2
C)x^3 > y^2
D)–x > y
E)x < –y
Rationale: Correct Answer: (E)
Let’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = |x|, and y is positive, so |y| = y. Thus –x > y is the same statement as |x| > |y|, and (D) must be true.
Answer: D
Question: The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Options:
A)8 ml
B)6 ml
C)3 ml
D)4 ml
E)2 ml
Rationale: 4.5 4.5
30% 70%
30% ----- 4.5
70% ------? => 10.5 - 4.5 = 6 ml
Answer: B
Answer: B
Question: A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than or equal to 60% marks is
Options:
A)4
B)3
C)2
D)1
E)5
Rationale: Here we can assume that one subject is of 100 marks so total there are 5 subjects => 100*5 = 500.
Now according to the question he secured 60 % of those which is 60%of 500 = 300 marks in total.
The ratio between the marks is given as 6 : 7 : 8 : 9 : 10 , so now we can distribute 300 marks according to the ratio.
Total ratio = 40
For 6 : (300/40)*6 = 45
Similarly , we will get for others as 52.5 , 60 , 62.5 , 75.
Hence , there are 3 subject where he secured more that 60 %.
The answer is 3.
B
Answer: B
Question: 9, 16, 19, 25, 36,49
Options:
A)9
B)16
C)19
D)25
E)36
Rationale: Each of the numbers except 19, is perfect square.
Answer: Option C
Answer: C
Question: Prizes totaling $ 55,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?
Options:
A)(a) $5,000
B)(b) $10,000
C)(c) $15,000
D)(d) $20,000
E)(e) $65,000
Rationale: The highest prize cannot possibly be less than 1/3rd of 55,000 (because in this case the sum of 3 prizes would be less than 55,000) and cannot be more than 55,000.
Answer: D.
Answer: D
Question: Let f(x) = x4 – 8x3 + 16x2 – 19 and g(x) = x - 5. Find f(x)/g(x)
Options:
A)4
B)5
C)6
D)7
E)8
Rationale: Solution:
f(x) = x4 – 8x3 + 16x2 – 19
g(x) = x – 5
f(x)/g(x) = (x4 – 8x3 + 16x2 – 19)/(x - 5)
We first need to rearrange all the terms of the dividend according to descending powers of x. The dividend then becomes x4 – 8x3 + 16x2 – 19, with 1 understood as the coefficient of the first term. No x term is there in the polynomial, but we take a zero as a place holder in the x position, so the dividend is written as x4 – 8x3 + 16x2 + 0x – 19.
We solved the division in both the ways;
(x4 – 8x3 + 16x2 + 0x – 19) ÷ (x - 5) by using synthetic division
Quotient = x3 - 3x2 + x + 5
Remainder = 6
Answer C
Answer: C
Question: A circular wire of radius 42cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6:5. The smaller side of the rectangle is:
Options:
A)30cm
B)60cm
C)72cm
D)132cm.
E)142cm.
Rationale: Length of wire= circumference of circle of radius 42cm= (2* 22/7* 42)= 264cm.
Therefore, perimeter of rectangle= 264 cm.
Let, length= 6x cm & breadth= 5x cm.
Therefore, 2 (6x+5x)= 264 or x=12.
Therefore, smaller side= 60 cm
ANSWER:B
Answer: B
Question: In how many different ways can 5 girls and 5 boys form a circle such that the boys and the girls alternate?
Options:
A)2880
B)1400
C)1200
D)3212
E)None of these
Rationale: Explanation :
In a circle, 5 boys can be arranged in 4! ways
Given that the boys and the girls alternate.
Hence there are 5 places for girls which can be arranged in 5! ways
Total number of ways = 4! x 5! = 24 x 120 = 2880. Answer : Option A
Answer: A
Question: Less than half of a committee that is to be formed out of certain group, are to be men. If there are 100 possible ways of forming the committee, then the number of men in the committee can be,
Options:
A)2
B)3
C)4
D)5
E)cannot be determined
Rationale: 1. Let there be m men and w women out of which the committee is formed.
2. mCn * wCr = 100, where n is the number of men chosen and r is the number of women chosen
3. The possible products for LHS of (2) are, 100 * 1, 50 * 2, 25 * 4, 20 * 5, 10 * 10
4. Since the number of women is greater than the number of men, the first three products in (3) can be rejected as they would not satisfy this condition.
5. In the case of the fourth product, 20 * 5 may be given by 6C3 * 5C1. Though this may satisfy the condition with 3 women and 1 man, 1 man is not in the choices given.
6. The last product 10 * 10 may be given by 5C2 * 5C3 with 2 men and 3 women. This satisfies the condition and also 2 men is one of the choices given.
Therefore the answer is choice A.
Answer: A
Question: A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction?
Options:
A)8%
B)9%
C)10%
D)11%
E)None
Rationale: Solution
Actual price	= Rs. (25 + 2.50)
= Rs. 27.50
Therefore, saving	= (2.50 / 27.50 ×100)%
= 100 / 11%
= 9×1/11%
= 9%.
Answer B
Answer: B
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 5%?
Options:
A)20%
B)29%
C)10%
D)80%
E)42.5%
Rationale: SP2 = 2/3 SP1
CP = 100
SP2 = 95
2/3 SP1 = 95
SP1 = 142.5
100 --- 42.5 => 42.5%
Answer: E
Answer: E
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 840, what is the least possible value of n?
Options:
A)5
B)11
C)12
D)13
E)14
Rationale: 840 = 2 * 2 * 2 * 3 * 5
so the least value forNcan be 5.
A
Answer: A
Question: a clock hangs on the wall of a railway station,71ft 9in long and 10ft 4in high.those are the dimension of the wall,not the clock!while waiting for a train we noticed that the hands of the clock were pointing in opposite directions,and were parallel to one of the diagonals of the wall,what was the exact time ?
Options:
A)7:15
B)7:5
C)7:25
D)7:45
E)7:55
Rationale: it can have four possiblities
time could be
7:5
1:35
11:25
5:55
ANSWER:B
Answer: B
Question: A rectangular plot measuring 90 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?
Options:
A)46m
B)66m
C)26m
D)56m
E)25m
Rationale: Perimeter of the plot = 2(90+50) = 280m
no of poles =280/5 =56m
Answer: D
Answer: D
Question: The sector of a circle has radius of 21 cm and central angle 90o. Find its perimeter?
Options:
A)91.5
B)75
C)93
D)94
E)95
Rationale: Perimeter of the sector = length of the arc + 2(radius)
= (90/360 * 2 * 22/7 * 21) + 2(21)
= 75 cm
Answer: Option B
Answer: B
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
Options:
A)4192 sq m
B)4304 sq m
C)4312 sq m
D)4360 sq m
E)None of these
Rationale: Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 264 and 2∏l = 352
s = 264/2∏ and l = 352/2∏
Difference between the areas = ∏l2 - ∏s2
= ∏{1762/∏2 - 1322/∏2}
= 1762/∏ - 1322/∏
= (176 - 132)(176 + 132)/∏
= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m
ANSWER:C
Answer: C
Question: Tom bought 2 shares and sold them for $55 each. If he had a profit of 25% on the sale of one of the shares but a loss of 45% on the sale of the other share, then on the sale of both shares Tom had
Options:
A) a profit of $44
B) a loss of $44
C) a profit of $34
D) a loss of $34
E) neither a profit nor a loss
Rationale: total CP = 5500/125 + 5500/55 = 44 + 100=144
SP=55*2=110
loss= Rs 34/-
Answer: D
Answer: D