Instruction
- Total number of questions : 20
- Time allotted : 30:00 Minutes:Seconds.
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Quantitative Aptitude [ Question No: 1 To 6 ] :
Two numbers are respectively 20% and 50% more than a third number. These two numbers are in the ratio
A can write 75 pages in 25 hours. A and B together can write 135 pages in 27 hours. In what time can B write 42 pages?
How many trailing zeros are in the result of \(50! \times 20!\)?
Find the remainder when \(3^{3}\) is divided by 82.
Model which is a logical structure based on a theory is
A vase has a marked price of Rs. 560. Simran pays Rs. 336 for it because she got 2 successive discounts, one of 20% and other of _____
Reasoning [ Question No: 7 To 12 ] :
Direction for [ Question No: 7 To 7 ] :
Each question given below consists of a statement, followed by two arguments numbered I and II. You have to decide which of the arguments is a 'strong' argument and which is a 'weak' argument.
Give answer:
- (A) If only argument I is strong
- (B) If only argument II is strong
- (C) If either I or II is strong
- (D) If neither I nor II is strong and
- (E) If both I and II are strong.
Statement: Should all the legislators be forced to resign from their profession?
Arguments:
1. Yes. They will be able to devote more time for the country.
2. No, nobody will contest election.
Direction for [ Question No: 8 To 8 ] :
Choose the word which is least like the other words in the group.
Choose the word which is different from the rest.
A series of natural numbers \(F_{1}, F_{2}, F_{3}, F_{4}, F_{5}, F_{6}, F_{7}, \ldots\) obeys \(F_{n+1} = F_{n} + F_{n-1}\) for all integers \(n \ge 2\).
If \(F_{6} = 37\), and \(F_{7} = 60\), then what is \(F_{1}\)?
Statements : All bottles are glasses. All glasses are jugs.
Conclusions :
I-All bottles are jugs.
II-All jugs are bottles.
III-Some glasses are bottles.
Which one of the four given choices is correct ?
The correct prefix formula is
A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?
General Awareness / General Knowledge (GK) [ Question No: 13 To 20 ] :
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 6 ] :
Two numbers are respectively 20% and 50% more than a third number. These two numbers are in the ratio
Your Answer : (Not Answered)
Correct Answer : B
The two numbers are in the ratio 4 : 5.
Take the third number as 100. The first is 20% more, 120, and the second 50% more, 150:
\[ 120 : 150 = 4 : 5 \]
2 : 5 compares the percentage increases themselves, which ignores the common base, and 6 : 7 and 3 : 5 do not follow.
A can write 75 pages in 25 hours. A and B together can write 135 pages in 27 hours. In what time can B write 42 pages?
Your Answer : (Not Answered)
Correct Answer : C
A's writing rate = 75 pages / 25 hours = 3 pages/hour. (A+B)'s writing rate = 135 pages / 27 hours = 5 pages/hour. B's writing rate = (A+B)'s rate - A's rate = 5 - 3 = 2 pages/hour. Time for B to write 42 pages = Total pages / B's rate = 42 / 2 = 21 hours.
How many trailing zeros are in the result of \(50! \times 20!\)?
Your Answer : (Not Answered)
Correct Answer : B
When multiplying numbers, the number of trailing zeros in the product is the sum of the number of trailing zeros in each number. Zeros in 50! = \(\lfloor 50/5 \rfloor + \lfloor 50/25 \rfloor = 10+2=12\). Zeros in 20! = \(\lfloor 20/5 \rfloor = 4\). Total zeros = \(12+4=16\).
Find the remainder when \(3^{3}\) is divided by 82.
Your Answer : (Not Answered)
Correct Answer : D
\[ 3^{3} = 27 \]
Since \( 27 < 82 \), the division gives quotient 0 and the whole number is the remainder:
\[ 27 \]
Model which is a logical structure based on a theory is
Your Answer : (Not Answered)
Correct Answer : A
A deductive model is built downward from an accepted theory: the governing equations are derived from established principles rather than fitted to data.
An inductive model works the other way, generalising from observations, and a floating model rests on neither.
A vase has a marked price of Rs. 560. Simran pays Rs. 336 for it because she got 2 successive discounts, one of 20% and other of _____
Your Answer : (Not Answered)
Correct Answer : C
Apply the known discount first, then see what fraction of the remainder she actually paid.
\[ 560 \times (1 - 0.20) = \text{Rs. } 448 \]
\[ \frac{336}{448} = 0.75 \quad\Longrightarrow\quad \text{second discount} = 1 - 0.75 = 25\% \]
Checking: \( 448 \times 0.75 = 336 \).
Taking \( \dfrac{560 - 336}{560} = 40\% \) gives the combined discount, not the second one - and indeed \( 1 - 0.80 \times 0.75 = 0.40 \).
Reasoning [ Question No: 7 To 12 ] :
Direction for [ Question No: 7 To 7 ] :
Each question given below consists of a statement, followed by two arguments numbered I and II. You have to decide which of the arguments is a 'strong' argument and which is a 'weak' argument.
Give answer:
- (A) If only argument I is strong
- (B) If only argument II is strong
- (C) If either I or II is strong
- (D) If neither I nor II is strong and
- (E) If both I and II are strong.
Statement: Should all the legislators be forced to resign from their profession?
Arguments:
1. Yes. They will be able to devote more time for the country.
2. No, nobody will contest election.
Your Answer : (Not Answered)
Correct Answer : A
The legislators should surely not be engaged in any other profession because only then will they be able to work with devotion. So, argument I holds. Also, if such a law is enforced, only those people will contest elections who are really prepared to work for the country. So, argument II is vague
Direction for [ Question No: 8 To 8 ] :
Choose the word which is least like the other words in the group.
Choose the word which is different from the rest.
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: Gazelle
Sheep, goat, ibex and yak all belong to the goat and sheep group of the cattle family, the Caprinae. The gazelle is an antelope, of a different subfamily altogether.
A series of natural numbers \(F_{1}, F_{2}, F_{3}, F_{4}, F_{5}, F_{6}, F_{7}, \ldots\) obeys \(F_{n+1} = F_{n} + F_{n-1}\) for all integers \(n \ge 2\).
If \(F_{6} = 37\), and \(F_{7} = 60\), then what is \(F_{1}\)?
Your Answer : (Not Answered)
Correct Answer : A
\(F_{1}\) is 4.
The rule \(F_{n+1} = F_{n} + F_{n-1}\) can be run backwards as \(F_{n-1} = F_{n+1} - F_{n}\):
\[ \begin{aligned} F_{5} &= 60 - 37 = 23 \\ F_{4} &= 37 - 23 = 14 \\ F_{3} &= 23 - 14 = 9 \\ F_{2} &= 14 - 9 = 5 \\ F_{1} &= 9 - 5 = 4 \end{aligned} \]
Check forwards: 4, 5, 9, 14, 23, 37, 60. The value 5 is \(F_{2}\), 9 is \(F_{3}\), and 8 does not appear in the series at all.
Statements : All bottles are glasses. All glasses are jugs.
Conclusions :
I-All bottles are jugs.
II-All jugs are bottles.
III-Some glasses are bottles.
Which one of the four given choices is correct ?
Your Answer : (Not Answered)
Correct Answer : D
The correct choice is Conclusion I and III follow.
From 'All bottles are glasses' and 'All glasses are jugs', every bottle is a glass and every glass is a jug, so all bottles are jugs: conclusion I follows. 'All bottles are glasses' also means that those glasses which are bottles exist, so 'Some glasses are bottles' follows by conversion: conclusion III follows.
Conclusion II, 'All jugs are bottles', reverses a universal statement. There may be jugs that are not glasses, and glasses that are not bottles, so it does not follow. That rules out every option containing II.
The correct prefix formula is
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: →→PQ→→QR→PR
In prefix notation the connective precedes its operands, so the string is read outward from the leading symbol. This one parses as an implication whose antecedent is \( P \to Q \) and whose consequent is \( (Q \to R) \to (P \to R) \) - a well-formed formula, and in fact a valid one. The others leave connectives without the operands they require.
A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: 3
There are only two colours, so among any three socks two must match - the pigeonhole principle. Two is not enough, since they could be one of each. The count of 20 in each colour is irrelevant to the answer, and it is put there to tempt the solver towards 20 or 21.
General Awareness / General Knowledge (GK) [ Question No: 13 To 20 ] :
Your Answer : (Not Answered)
Correct Answer : D
The Recovery of Debts Due to Banks and Financial Institutions Act was enacted in 1993.
It created the Debts Recovery Tribunals and Appellate Tribunals to decide bank recovery suits above a threshold outside the ordinary civil courts, following the Narasimham Committee's recommendation.
Your Answer : (Not Answered)
Correct Answer : C
Lightning occurs when strong opposite charges in different clouds break down the resistance of the air between them.
Charge separation in a thundercloud builds a potential difference of hundreds of millions of volts. When the field exceeds about \(3\times10^{6}\ \mathrm{V\,m^{-1}}\), the air ionises and becomes conducting, and the accumulated charge discharges along that channel.
Your Answer : (Not Answered)
Correct Answer : A
COBOL is not a low-level language - it is a high-level one.
Designed in 1959 for business data processing, its statements read almost like English. Machine language and assembly are the low-level languages, tied to a particular processor.
Your Answer : (Not Answered)
Correct Answer : C
J.E. Lundstrom invented them.
Johan Edvard Lundstrom of Sweden patented the safety match in 1855, putting the red phosphorus on the striking surface of the box rather than in the match head, so that the match could not light by accident.
Your Answer : (Not Answered)
Correct Answer : B
It was Devika Rani.
The award was instituted in 1969, the centenary of Dadasaheb Phalke's birth, and Devika Rani was its first recipient. She had co-founded Bombay Talkies and starred in Karma, which contains one of the earliest kisses in Indian cinema.
Your Answer : (Not Answered)
Correct Answer : A
When eroded material is dissolved and carried along as individual ions in the water, the transport process is called solution. Limestone regions lose most of their material this way, as calcium and bicarbonate ions.
Suspension carries fine particles held up in the flow, saltation bounces sand grains along, and traction rolls or drags the coarsest material over the bed.
Your Answer : (Not Answered)
Correct Answer : B
EXIM Bank was established in 1982.
The Export-Import Bank of India began operations on 1 January 1982, taking over the international finance wing of IDBI. It finances and promotes India's foreign trade, and extends lines of credit to overseas buyers of Indian goods.
Your Answer : (Not Answered)
Correct Answer : D
The Prime Minister was ex-officio Chairman.
The Cabinet resolution of 1950 made the Prime Minister chairman of the Planning Commission, with a full-time Deputy Chairman of Cabinet rank running it. NITI Aayog retains the same arrangement, with a Vice-Chairman in place of the Deputy Chairman.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20