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A series of book was published at seven year intervals. When the seventh book was published the total sum of publication year was 13, 524. First book was published in?
Let the years be n, n+7, n+14, ...., n+42. (?? use formula Tn=a+(n−1)dTn=a+(n−1)d to find nth term)
Sum = Sn=n2(2a+(n−1)d)Sn=n2(2a+(n−1)d) = 72(2n+(7−1)7)72(2n+(7−1)7) = 13,524
⇒7n+147=13,524⇒7n+147=13,524
⇒⇒ n = 1911
A tree of height 36m is on one edge of a road broke at a certain height. It fell in such a way that the top of the tree touches the other edge of the road. If the breadth of the road is 12m, then what is the height at which the tree broke?
Let the tree was broken at x meters height from the ground and 36  x be the length of other part of the tree.
From the diagram, (36−x)2=x2+122(36−x)2=x2+122
⇒1296−72x+x2=x2+144⇒1296−72x+x2=x2+144
⇒72x=1296−144⇒72x=1296−144
⇒x=16⇒x=16
Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460?
Let xx be the number to be added to 5678.
When you divide 5678 + xx by 460 the remainder = 35.
Therefore, 5678 + xx = 460k + 35 here kk is some quotient.
⇒⇒ 5643 + xx should exactly divisible by 460.
Now from the given options x = 797.
A girl entered a store and bought x flowers for y dollars (x and y are integers). When she was about to leave, the clerk said, “If you buy 10 more flowers I will give you all for $$2, and you will save 80 cents a dozen”. The values of x and y are?
Given she bought xx flowers for yy dollars.
So 1 flower cost = yxyx
flowers or 1 dozen cost = 12yx12yx
Again, xx+10 cost = 2 dollars
1 flower cost = 210+x210+x
12 flowers or 1 dozen cost = 2×1210+x=2410+x2×1210+x=2410+x
Given that this new dozen cost is 80 cents or 4/5 dollar less than original cost.
⇒12yx−2410+x=45⇒12yx−2410+x=45
From the given options, c satisfies this.
A person travels 6km towards west, then travels 5km towards north ,then finally travels 6km towards west. Where is he with respect to his starting position?
From the above diagram it is he started at C and reached position C. now ACD is a right angle triangle. AC = CD2+AD2−−−−−−−−−−√CD2+AD2 = 52+122−−−−−−−√=1352+122=13
So he is 13 km away from the starting position and in north west position.
The difference between the compound and simple interest on a certain sum for 2 years at the rate of 8% per annum is Rs.80,What is the sum?
Difference in simple and compound interest at the end of 2 years occurs because there is interest on first year interest. So Difference = P×(R100)2P×(R100)2
⇒ 80 = P×(8100)2P×(8100)2
⇒ P=80×(1008)2P=80×(1008)2 = 12,500
A ship went on a voyage. After it had traveled 180 miles a plane started with 10 times the speed of the ship. Find the distance when they meet from starting point
Let the speed of the ship = m miles/hr. and plane took 't' hours to meet the ship
Then, m×t is the distance ship traveled after plane started
So we have, mt + 180 = 10mt
⇒ 9mt = 180
⇒ mt = 20
Hence distance = 180 + 20 = 200 miles
The egg vendor calls on his first customer & sells half his eggs & half an egg. To the 2nd customer he sells half of what he sells half of what he had left & half an egg. & to the 3rd customer he sells half what he had then left & half an egg. By the way he did not break any eggs. In the end three eggs were remaining. How many total eggs he was having?
After selling to 3 persons , he was left with 3 eggs.
After selling to 2 persons , he was left with 3 x 2 + 1 = 7 eggs.
After selling to 1 person , he was left with 7 x 2 + 1 = 15 eggs.
Before selling to 1 st person , he was having 15 x 2 + 1 = 31 eggs.
A 10 Liter mixture of milk and water contains 30 percent water. Two liters of this mixture is taken away. How many liters of water should now be added so that the amount of milk in the mixture is double that of water?
Two liters were taken away So we have only 8 liters of mixture.
Amount of milk in 8 liters of mixture = 8 × 70% = 5.6 liters
Amount of water in 8 lit of mix = 8  5.6 = 2.4 liters.
Half of milk i.e half of 5.6 = 2.8 liters.
We need (2.8  2.4) liters water more = 0.4 lit
X = 101102103104105106107......146147148149150 (From numbers 101150). Find out the remainder when this number is divided by 9.
The divisibility rule for 9 is sum of the digits is to be divisible by 9. So
We calculate separately, sum of the digits in hundreds place, tenths place, and units place.
Sum of the digits in hundreds place: 1 x 50 = 50
Sum of the digits in tenths place : 0 x 9 + 1 x 10 + 2 x 10 + 3 x 10 + 4 x 10 + 5 x 1 = 105
Sum of the digits in units place : (1 + 2 + 3 + ...+ 9) x 5 = 225
So total = 380
So remainder = 380 / 9 = 2
The sticks of same length are used to form a triangle as shown below. If 87 such sticks are used then how many triangles can be formed?
First triangle is formed by using 3 sticks, but any subsequent triangle may be formed by using 2 sticks. Therefore, If 1st triangles uses 3 sticks, Remaining sticks = 87  3 = 84. With these 84, we can form 42 triangles. So total = 42 + 1 = 43
Shortcut:
To solve questions like these, use formula, 2n + 1 = k. Here n = triangles, k = sticks
2n+1 = 87 ⇒⇒ n = 43.
On door A  It leads to freedom
On door B  It leads to Ghost house
On door C  door B leads to Ghost house
The statement written on one of the doors is wrong.
Identify which door leads to freedom?
Case 1: A, B are true. In this case, Statement C also correct. So contradiction.
Case 2: B, C are true. In this case, B leads to ghost house and C confirms it. Now A is wrong. So door A does not lead to freedom. So Door C leads to freedom.
70, 54, 45, 41……. What is the next number in the given series?
Consecutive squares are subtracted from the numbers.
70  54 = 16
54  45 = 9
45  41 = 4
So next we have to subtract 1. So answer = 41  1 = 40
Let p/q = a, then (a  1/a) = 21/10
⇒a2−1=a.2110 ⇒10a2−21a−10 = 0
Roots of the equation = −b±b2−4ac−−−−−−−√2a a = 21±441+400−−−−−−−−√20
a = 21±2920 = 5/2 or 2/5 For a = 5/2, 4p/q+4q/p = 58/5
For a = 2/5, 4p/q+4q/p = 58/5
A man has a job, which requires him to work 8 straight days and rest on the ninth day. If he started work on Monday, find the day of the week on which he gets his 12th rest day.
He works for 8 days and takes rest on the 9th day. So On the 12th rest day, there are 9 x 12 = 108 days passed. Number of odd days = (108  1) / 7 = 107 / 7 = 2. So the 12th rest day is wednesday.
1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4...... In the above sequence what is the number of the position 2888 of the sequence
First if we count 1223334444. they are 10
In the next term they are 20
Next they are 30 and so on
So Using n(n+1)2×10≤2888
For n = 23 we get LHS as 2760. Remaining terms 128.
Now in the 24th term, we have 24 1's, and next 48 terms are 2's. So next 72 terms are 3's.
What should come in place of the questionmark (?) in the following number series?
5690, 5121, 4552, 3983, 3414, 2845, ....?
The difference of the numbers in the series is same i.e 569.
5690 – 5121 = 569
5121 – 4552 = 569
4552 – 3983 = 569
3983 – 3414 = 569
3414 – 2845 = 569
So
2845 – 2276 = 569
59/7 = 3 is remainder
Thursday + 3 days = Sunday
1) B is mother of D but D is not daughter of B.
2) A is son of M and brother of G.
3) G is sister of D
Which of the following cannot be referred from the given information ?
D is the son of B. Also from the third clue, G and D are siblings. A is the brother of G (from 2nd clue). So A, G, D are siblings. A is the son of M. So M is the father (as B is the mother).
Finally, B and M has 3 children : 2 Sons D & A, and daughter G.
Definitely G is younger to B as she is daughter of G
But it can't be said who is younger among children A,D & G. So option D is not inferred.
260 can be written in binary format as (100000100)2(100000100)2
Replacing 1 with @ and 0 with *, we get option d.
In questions below, each passage consist of six sentences. The first and sixth sentence are given in the begining. The middle four sentences in each have been removed and jumbled up. These are labelled as P, Q, R and S. Find out the proper order for the four sentences.
S_{1}: Once upon atime there lived three young men in a certain town of Hindustan.
P : All the people of the neighbourhood were mortally afraid of them.
Q : They were so powerful that they could catch growing lions and tear them to pieces.
R : Someone told them that they would become immortal if they killed Death.
S : The young men believed themselves to be very good friends.
S_{6}: All of them set out in search of their foe called Death.
The Proper sequence should be:
In this question, an incomplete statement (Stem) followed by fillers is given. Pick out the best one which can complete incomplete stem correctly and meaningfully.
With great efforts his son succeeded in convincing him not to donate his entire wealth to an orphanage ........
In the following questions choose the word which is the exact OPPOSITE of the given word.
EQUANIMITY
Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Direction: Question no. 26 to 30 are passage questions. Carefully read the passage and mark your answers.
Organisations are institutions in which members compete for status and power. They compete for resource of the organisation, for example finance to expand their own departments, for career advancement and for power to control the activities of others. In pursuit of these aims, grouped are formed and sectional interests emerge. As a result, policy decisions may serve the ends of political and career systems rather than those of the concern. In this way, the goals of the organisation may be displaced in favour of sectional interests and individual ambition. These preoccupations sometimes prevent the emergence of organic systems. Many of the electronic firms in the study had recently created research and development departments employing highly qualified and well paid scientists and technicians. Their high pay and expert knowledge were sometimes seen as a threat to the established order of rank, power and privilege. Many senior managers had little knowledge of technicality and possibilities of new developments and electronics. Some felt that close cooperation with the experts in an organic system would reveal their ignorance and show their experience was now redundant
Q. The theme of the passage is?
Organisations are institutions in which members compete for status and power. They compete for resource of the organisation, for example finance to expand their own departments, for career advancement and for power to control the activities of others. In pursuit of these aims, grouped are formed and sectional interests emerge. As a result, policy decisions may serve the ends of political and career systems rather than those of the concern. In this way, the goals of the organisation may be displaced in favour of sectional interests and individual ambition. These preoccupations sometimes prevent the emergence of organic systems. Many of the electronic firms in the study had recently created research and development departments employing highly qualified and well paid scientists and technicians. Their high pay and expert knowledge were sometimes seen as a threat to the established order of rank, power and privilege. Many senior managers had little knowledge of technicality and possibilities of new developments and electronics. Some felt that close cooperation with the experts in an organic system would reveal their ignorance and show their experience was now redundant.
Q. "Organic system" as related to the organization implies its
Organisations are institutions in which members compete for status and power. They compete for resource of the organisation, for example finance to expand their own departments, for career advancement and for power to control the activities of others. In pursuit of these aims, grouped are formed and sectional interests emerge. As a result, policy decisions may serve the ends of political and career systems rather than those of the concern. In this way, the goals of the organisation may be displaced in favour of sectional interests and individual ambition. These preoccupations sometimes prevent the emergence of organic systems. Many of the electronic firms in the study had recently created research and development departments employing highly qualified and well paid scientists and technicians. Their high pay and expert knowledge were sometimes seen as a threat to the established order of rank, power and privilege. Many senior managers had little knowledge of technicality and possibilities of new developments and electronics. Some felt that close cooperation with the experts in an organic system would reveal their ignorance and show their experience was now redundant.
Q. Policy decision in organization would involve?
Organisations are institutions in which members compete for status and power. They compete for resource of the organisation, for example finance to expand their own departments, for career advancement and for power to control the activities of others. In pursuit of these aims, grouped are formed and sectional interests emerge. As a result, policy decisions may serve the ends of political and career systems rather than those of the concern. In this way, the goals of the organisation may be displaced in favour of sectional interests and individual ambition. These preoccupations sometimes prevent the emergence of organic systems. Many of the electronic firms in the study had recently created research and development departments employing highly qualified and well paid scientists and technicians. Their high pay and expert knowledge were sometimes seen as a threat to the established order of rank, power and privilege. Many senior managers had little knowledge of technicality and possibilities of new developments and electronics. Some felt that close cooperation with the experts in an organic system would reveal their ignorance and show their experience was now redundant.
Q. The author makes out a case for?
Organisations are institutions in which members compete for status and power. They compete for resource of the organisation, for example finance to expand their own departments, for career advancement and for power to control the activities of others. In pursuit of these aims, grouped are formed and sectional interests emerge. As a result, policy decisions may serve the ends of political and career systems rather than those of the concern. In this way, the goals of the organisation may be displaced in favour of sectional interests and individual ambition. These preoccupations sometimes prevent the emergence of organic systems. Many of the electronic firms in the study had recently created research and development departments employing highly qualified and well paid scientists and technicians. Their high pay and expert knowledge were sometimes seen as a threat to the established order of rank, power and privilege. Many senior managers had little knowledge of technicality and possibilities of new developments and electronics. Some felt that close cooperation with the experts in an organic system would reveal their ignorance and show their experience was now redundant
Q. The author tends to the senior managers as?
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