solved placement papers for TCS
191 / 652
After loading a dock, each worker on the night crew loaded \(\frac{3}{4}\) as many boxes as each worker on the day of the crew. If the night crew has \(\frac{4}{5}\) as many workers as the day crew, what fraction of all the boxes loaded by two crews did the day crew load?
A\(\frac{1}{2}\)
B\(\frac{2}{5}\)
C\(\frac{4}{5}\)
D\(\frac{5}{8}\)
Answer: Option D
Explanation:If there are x workers in day and each loaded y boxes
then boxes loaded in day = xy
boxes loaded in night = \(\frac{3}{4} \times y \times \frac{4}{5} \times x = \frac{3}{5} \times xy\)
Total boxes loaded = \(xy + \frac{3}{5} \times xy = \frac{8}{5} xy\)
fraction of all the boxes loaded by two crews did the day crew load = \(\frac{xy}{(\frac{8}{5} \times xy)} = \frac{5}{8}\)
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192 / 652
The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of the teachers would then be 25 to 1 What is the present number of teachers?
A17
B15
C11
D19
Answer: Option B
Explanation:Given the ratio of students and teachers = 30:1
=> students and teachers are in school 30x, x respectively.
After new recruitments of students and teachers the strength becomes (30x + 50), (x + 5) respectively.
So, the new ratio = 25 : 1
(30x + 50)/(x + 5) = 25/1
=> 30x + 50 = 25x + 125
=> 5x = 75 => x = 15
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193 / 652
Jose is a student of horticulture in the University of Hose. In a horticultural experiment in his final year, 200 seeds were planted in plot I and 300 were planted in plot II. If 57% of the seeds in plot I germinated and 42% of the seeds in plot II germinated, what percent of the total number of planted seeds germinated?
A48%
B44%
C54%
D50%
Answer: Option A
Explanation:Total seeds germinated in Plot I = 57% of 200 = 114
Total seeds germinated in Plot II = 42% of 300 = 126
So, total germinated seeds = (114 + 126) = 240
Percentage of germinated seeds of the total seeds = 240/500 = 48%
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194 / 652
Rural households have more purchasing power than do urban households at the same income level, since some of the income urban and suburban households use for food and shelter can be used by the rural households for other needs. Which of the following inferences is best supported by the statement made above?
AThe average rural household includes more people than does the average urban or suburban household.
BRural households have lower food and housing costs than do either urban or suburban households.
CSuburban households generally have more purchasing power than do either rural or urban households.
DThe median income of urban and suburban households is generally higher than that of rural households.
EAll three types of households spend more of their income on housing than on all other purchases combined.
Answer: Option B
Explanation:If rural households spend less income on food and shelter due to less prices they definitely have more disposable income to spend.
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195 / 652
A student's average ( arithmetic mean) test score on 4 tests is 78. What must be the students score on a 5th test for the students average score on the 5th test to be 80?
A78
B88
C89
D98
Answer: Option B
Explanation:Total scores of 4 test = 78 * 4 = 312
Total scores of 5 tests = 80 * 5 = 400
So, 5th test score = (400-312)=88
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196 / 652
If 75% of a class answered the first question on a certain test correctly, 55% answered the second question on the test correctly, and 20% answered neither of the questions correctly, what percentage answered both correctly?
A50%
B45%
C55%
DNone of these
Answer: Option A
Explanation:Given 20% student answered neither question => students who answered atleast one question = 100% - 20% = 80%
Student answered first question = 75%
Student answered second question = 55%
Follow the formula n(A?B) = n(A) + n(B) - n(A?B)
=> 80% = 75% + 55% - n(A?B)
? n(A?B) = 50%
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197 / 652
The water from one outlet, flowing at a constant rate, can fill the swimming pool in 9 hours. The water from second outlet, flowing at a constant rate can fill up the same pool in approximately in 5 hours. If both the outlets are used at the same time, approximately what is the number of hours required to fill the pool?
A3.21 hrs.
B3.34 hrs.
C2.32 hrs.
DNone of these
Answer: Option A
Explanation:Lets assume tank capacity = x Liters.
Given:
First pipe fills the tank in 9 hours.
So first pipe capacity = x/9 Liters/ Hour.
Second pipe fills the tank in 5 hours.
So its capacity is x/ 5 Liters/Hour
Condition: If both pipes are opened together
number of hrs. required to fill a tank of capacity x liters = x/(x/5+x/9) = x/(14x/45) = 45/14 = 3.21 hrs.
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198 / 652
What is the angle between two hands when time is 5:30
A15
B14
C16
D11
Answer: Option A
Explanation:Angle between two hands=11/2*M-30*H
=11/2*30-30*5
=165-150
=15
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199 / 652
If A=2/3(B-C) and c=1/2(A+B) and A+B+C=3000, then find C ?
A1000
B100
C1100
D1001
Answer: Option A
Explanation:C=1/2(A+B)
A+B+(1/2(A+B))=3000
3/2(A+B)=3000
A+B=2000
C=1/2(A+B)
C=1000
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200 / 652
Machine A produces bolts at a uniform rate of 120 every 40 second, and Machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts?
A27 sec.
B20 sec.
C22 sec.
D25 sec.
Answer: Option D
Explanation:Machine A produces 120/40 = 3 bolts per sec.
Machine B produces 100/20 = 5 bolts per sec.
So, togather both will produce 8 bolts per second.
Hence, they wil take 200/8 = 25 seconds to produce 200 bolts.
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