Answer seet of intech paper
1. Answer: 30 days.
Explanation:
Before:
One day work = 1 / 20
One man’s one day work = 1 / ( 20 * 75)
Now:
No. Of workers = 50
One day work = 50 * 1 / ( 20 * 75)The total no. of days required to complete the work = (75 * 20) / 50 = 30- Answer: 0
Explanation:
Since 3x / 2 = x / (2 / 3) - Answer:5.3 %
Explanation:
He sells 950 grams of pulses and gains 50 grams.
If he sells 100 grams of pulses then he will gain (50 / 950) *100 = 5.26 - Answer:250 lines of codes
- Answer: 7 days
Explanation:The equation portraying the given problem is:
10 * x – 2 * (30 – x) = 216
where x is the number of working days.Solving this we get x = 23
Number of days he was absent was 7 (30-23) days. - Answer: 150 menExplanation:
One day’s work = 2 / (7 * 90)
One hour’s work = 2 / (7 * 90 * 8)
One man’s work = 2 / (7 * 90 * 8 * 75)
The remaining work (5/7) has to be completed within 60 days, because the total number of days allotted for the project is 150 days.
So we get the equation
(2 * 10 * x * 60) / (7 * 90 * 8 * 75) = 5/7 where x is the number of men working after the 90th day.
We get x = 225. Since we have 75 men already, it is enough to add only 150 men. - Answer: (c) 1
Explanation:
a percent of b : (a/100) * b
b percent of a : (b/100) * a
a percent of b divided by b percent of a : ((a / 100 )*b) / (b/100) * a )) = 1 - Answer: Cost price of horse = Rs. 400 & the cost price of cart = 200.
Explanation:-
Let x be the cost price of the horse and y be the cost price of the cart.
In the first sale there is no loss or profit. (i.e.) The loss obtained is equal to the gain.
Therefore (10/100) * x = (20/100) * y
X = 2 * y -----------------(1)
In the second sale, he lost Rs. 10. (i.e.) The loss is greater than the profit by Rs. 10.
Therefore (5 / 100) * x = (5 / 100) * y + 10 -------(2)
Substituting (1) in (2) we get
(10 / 100) * y = (5 / 100) * y + 10
(5 / 100) * y = 10
y = 200
From (1) 2 * 200 = x = 400 - Answer : 3.
Explanation:
Since inclusion of any male player will reject a female from the team. Since there should be four member in the team and only three males are available, the girl, n should included in the team always irrespective of others selection. - Answer:5
- Answer: 1,2,3 & 4
- Answer: B
- Answer:11 & 9 apples per tree.
Explanation:
Let a, b, c, d & e be the total number of apples bored per year in A, B, C, D & E ‘s orchard. Given that a + 1 = b + 3 = c – 1 = d + 3 = e – 6
But the question is to find the number of apples bored per tree in C and D ‘s orchard. If is enough to consider c – 1 = d + 3.
Since the number of trees in C’s orchard is 11 and that of D’s orchard is 13. Let x and y be the number of apples bored per tree in C & d ‘s orchard respectively.
Therefore 11 x – 1 = 13 y + 3
By trial and error method, we get the value for x and y as 11 and 9 - Answer: G.
Explanation:
The order in which they are climbing is R – G – K – H – J - -18
Answer:
Explanation:
Since Blueja doesn’t publish the novel by Burchfield and Heron publishes the novel spy thriller, Piegon publishes the novel by Burchfield.Since Hopper writes Gothic romance and Heron publishes the novel spy thriller, Blueja publishes the novel by Hopper.Since Heron publishes the novel spy thriller and Heron publishes the novel by Gorky, Gorky writes Spy thriller and Rathko writes Murder mystery.- Answer: 451 times.
Explanation:There are 60 minutes in an hour.
In ¾ of an hour there are (60 * ¾) minutes = 45 minutes.
In ¾ of an hour there are (60 * 45) seconds = 2700 seconds.
Light flashed for every 6 seconds.
In 2700 seconds 2700/6 = 450 times.
The count start after the first flash, the light will flashes 451 times in ¾ of an hour. - Answer: (4
Explanation:
Since p is a point on the line segment AB, AB > AP - Answer: (c)
- Answer: (b) & (d).
- Answer: Fakis
Explanation:
- Answer: (5).
Explanation: Since every alternative letter starting from B of the English alphabet is written in small letter, the letters written in small letter are b, d, f...In the first two answers the letter E is written in both small & capital letters, so they are not the correct answers. But in third and fourth answers the letter is written in small letter instead capital letter, so they are not the answers. - Answer: x = 4
Explanation: Since the side of the square is x + 2, its perimeter = 4 (x + 2) = 4x + 8. Since the side of the equilateral triangle is 2x, its perimeter = 3 * 2x = 6x
Also, the perimeters of both are equal.
(i.e.) 4x + 8 = 6x
(i.e.) 2x = 8 è x = 4. - Answer: (y – 2) / y.
Explanation: To type a manuscript karthik took y hours.
Therefore his speed in typing = 1/y. He was called away after 2 hours of typing.
Therefore the work completed = 1/y * 2. Therefore the remaining work to be completed = 1 – 2/y. (i.e.) work to be completed = (y-2)/y - Answer: (2)
- Answer: 1
Explanation: One is the only number exists without reciprocal because the reciprocal of one is one itself. - Answer: Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.
Explanation: Sudhir Arvind Gauri
Finally 24 24
Before Gauri’s transaction 12 12 4
Before Arvind’s transaction 6 42 24
Before Sudhir’ s transaction 39 21 12
- 35. Answer: Cost price of horse: Rs. 400 & Cost price of cart: Rs. 20
Explanation: Let x be the cost of horse & y be the cost of the cart.
10 % of loss in selling horse = 20 % of gain in selling the cart
Therefore (10 / 100) * x = (20 * 100) * y
x = 2y -----------(1)
5 % of loss in selling the horse is 10 more than the 5 % gain in selling the cart.
Therefore (5 / 100) * x - 10 = (5 / 100) *
5x - 1000 = 5
Substituting (1)
10y - 1000 = 5y; 5y = 1000; y = 200; x = 400 from (1) -
- For the following, find the next term in the series
-
- 6, 24, 60,120, 210
a) 336 b) 366 c) 330 d) 660 Answer : a) 336
Explanation : The series is 1.2.3, 2.3.4, 3.4.5, 4.5.6, 5.6.7, ..... ( '.' means product) - 1, 5, 13, 25 Answer : 41
Explanation : The series is of the form 0^2+1^2, 1^2+2^2,... - 0, 5, 8, 17 Answer : 24
Explanation : 1^2-1, 2^2+1, 3^2-1, 4^2+1, 5^2-1 - 1, 8, 9, 64, 25 (Hint : Every successive terms are related) Answer : 216
Explanation : 1^2, 2^3, 3^2, 4^3, 5^2, 6^3 - 8,24,12,36,18,54 Answer : 27
- 71,76,69,74,67,72 Answer : 67
- 5,9,16,29,54 Answer : 103
Explanation : 5*2-1=9; 9*2-2=16; 16*2-3=29; 29*2-4=54; 54*2-5=103 - 1,2,4,10,16,40,64 (Successive terms are related) Answer : 200
Explanation : The series is powers of 2 (2^0,2^1,..).
All digits are less than 8. Every second number is in octal number system.
128 should follow 64. 128 base 10 = 200 base 8.
Exercise 2.2
Find the odd man out.
-
- 3,5,7,12,13,17,19 Answer : 12
Explanation : All but 12 are odd numbers - 2,5,10,17,26,37,50,64 Answer : 64
Explanation : 2+3=5; 5+5=10; 10+7=17; 17+9=26; 26+11=37; 37+13=50; 50+15=65; - 105,85,60,30,0,-45,-90 Answer : 0
Explanation : 105-20=85; 85-25=60; 60-30=30; 30-35=-5; -5-40=-45; -45-45=-90;
Solve the following.
-
- What is the number of zeros at the end of the product of the numbers from 1 to 100? Answer : 127
- A fast typist can type some matter in 2 hours and a slow typist can type the same in 3 hours. If both type combinely, in how much time will they finish? Answer : 1 hr 12 min
Explanation : The fast typist's work done in 1 hr = 1/2
The slow typist's work done in 1 hr = 1/3
If they work combinely, work done in 1 hr = 1/2+1/3 = 5/6
So, the work will be completed in 6/5 hours. i.e., 1+1/5 hours = 1hr 12 min - Gavaskar's average in his first 50 innings was 50. After the 51st innings, his average was 51. How many runs did he score in his 51st innings. (supposing that he lost his wicket in his 51st innings) Answer : 101
Explanation : Total score after 50 innings = 50*50 = 2500
Total score after 51 innings = 51*51 = 2601. So, runs made in the 51st innings = 2601-2500 = 101. If he had not lost his wicket in his 51st innings, he would have scored an unbeaten 50 in his 51st innings. - Out of 80 coins, one is counterfeit. What is the minimum number of weighings needed to find out the counterfeit coin? Answer : 4
- What can you conclude from the statement : All green are blue, all blue are red. ?
(i) some blue are green
(ii) some red are green
(iii) some green are not red
(iv) all red are blue
(a) i or ii but not both
(b) i & ii only
(c) iii or iv but not both
(d) iii & iv Answer : (b) - A rectangular plate with length 8 inches, breadth 11 inches and thickness 2 inches is available. What is the length of the circular rod with diameter 8 inches and equal to the volume of the rectangular plate? Answer : 3.5 inches
Explanation : Volume of the circular rod (cylinder) = Volume of the rectangular plate
(22/7)*4*4*h = 8*11*2 h = 7/2 = 3.5 - What is the sum of all numbers between 100 and 1000 which are divisible by 14 ?
Answer : 35392
Explanation : The number closest to 100 which is greater than 100 and divisible by 14 is 112, which is the first term of the series which has to be summed.The number closest to 1000 which is less than 1000 and divisible by 14 is 994, which is the last term of the series. 112 + 126 + .... + 994 = 14(8+9+ ... + 71) = 35392 - If s(a) denotes square root of a, find the value of s(12+s(12+s(12+ ...... upto infinity.
Answer : 4
Explanation : Let x = s(12+s(12+s(12+.....
can write x = s(12+x). i.e., x^2 = 12 + x. Solving this quadratic equation, we get x = -3 or x=4. Sum cannot be -ve and hence sum = 4. - A cylindrical container has a radius of eight inches with a height of three inches. Compute how many inches should be added to either the radius or height to give the same increase in volume? Answer : 16/3 inches
Explanation : Let x be the amount of increase. The volume will increase by the same amount if the radius increased or the height is increased.
So, the effect on increasing height is equal to the effect on increasing the radius.
i.e., (22/7)*8*8*(3+x) = (22/7)*(8+x)*(8+x)*3
Solving the quadratic equation we get the x = 0 or 16/3. The possible increase would be by 16/3 inches. - With just six weights and a balance scale, you can weigh any unit number of kgs from 1 to 364. What could be the six weights? Answer : 1, 3, 9, 27, 81, 243 (All powers of 3)
- If time at this moment is 9 P.M., what will be the time 23999999992 hours later?
Answer : 1 P.M.
Explanation : 24 billion hours later, it would be 9 P.M. and 8 hours before that it would be 1 P.M. - Diophantus passed one sixth of his life in childhood, one twelfth in youth, and one seventh more as a bachelor; five years after his marriage a son was born who died four years before his father at half his final age. How old is Diophantus?
Answer : 84 years
Explanation : x/6 + x/12 + x/7 + 5 + x/2 + 4 = x - How big will an angle of one and a half degree look through a glass that magnifies things three times?
Answer : 1 1/2 degrees
Explanation : The magnifying glass cannot increase the magnitude of an angle. - Divide 45 into four parts such that when 2 is added to the first part, 2 is subtracted from the second part, 2 is multiplied by the third part and the fourth part is divided by two, all result in the same number. Answer: 8, 12, 5, 20
Explanation: a + b + c + d =45; a+2 = b-2 = 2c = d/2; a=b-4; c = (b-2)/2; d = 2(b-2); b-4 + b + (b-2)/2 + 2(b-2) = 45; - I drove 60 km at 30 kmph and then an additional 60 km at 50 kmph. Compute my average speed over my 120 km. Answer : 37 1/2
Explanation : Time reqd for the first 60 km = 120 min.; Time reqd for the second 60 km = 72 min.; Total time reqd = 192 min Avg speed = (60*120)/192 = 37 1/2
Questions 16 and 17 are based on the following :
Five executives of European Corporation hold a Conference in Rome
Mr. A converses in Spanish & Italian
Mr. B, a spaniard, knows English also
Mr. C knows English and belongs to Italy
Mr. D converses in French and Spanish
Mr. E , a native of Italy knows French
- Which of the following can act as interpreter if Mr. C & Mr. D wish to converse
a) only Mr. A b) Only Mr. B c) Mr. A & Mr. B d) Any of the other three
Answer : d) Any of the other three.
Explanation : From the data given, we can infer the following. A knows Spanish, Italian
B knows Spanish, English, C knows Italian, English, D knows Spanish, French
E knows Italian, French. To act as an interpreter between C and D, a person has to know one of the combinations Italian&Spanish, Italian&French, English&Spanish, English&French . A, B, and E know atleast one of the combinations. - If a 6th executive is brought in, to be understood by maximum number of original five he should be fluent in
a) English & French b) Italian & Spanish c) English & French d) French & Italian
Answer : b) Italian & Spanish
Explanation : No of executives who know
i) English is 2 ii) Spanish is 3 iii) Italian is 3 iv) French is 2
Italian & Spanish are spoken by the maximum no of executives. So, if the 6th executive is fluent in Italian & Spanish, he can communicate with all the original five because everybody knows either Spanish or Italian. - What is the sum of the first 25 natural odd numbers? Answer : 625
Explanation : The sum of the first n natural odd nos is square(n).
1+3 = 4 = square(2) 1+3+5 = 9 = square(3) - The sum of any seven consecutive numbers is divisible by
a) 2 b) 7 c) 3 d) 11
