Instruction
- Total number of questions : 20
- Time allotted : 30:00 Minutes:Seconds.
- Each question carry 1 mark, no negative marks.
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- All the best
Quantitative Aptitude [ Question No: 1 To 4 ] :
How many trailing zeros are in 125! ?
Find the number of rectangles which are not squares, and the number of squares, on an 8 by 8 chessboard, respectively.
In 6 hours a tank is filled. After the tank is half filled, 3 more similar taps are opened. Estimate the total time the tank will take to fill.
A completes 60% of a task in 15 days and then takes the help of B and C. B is 50% as efficient as A is and C is 50% as efficient as B is. In how many more days will they complete the work?
English Language [ Question No: 5 To 8 ] :
Direction for [ Question No: 5 To 5 ] :
Directions : Read the extract given below and answer the questions by selecting the correct/most appropriate options :
The work of hunters is another thing :
I have come after them and made repair
Where they have left not one stone on a stone,
But they would have the rabbit out of hiding,
To please the yelping dogs. The gaps I mean, 5
No one has seen them made or heard them made,
But at spring mending-time we find them there.
I let my neighbour know beyond the hill;
And on a day we meet to walk the line
And set the wall between us once again. 10
We keep the wall between us as we go.
To each the boulders that have fallen to each.
And some are loaves and some so nearly balls
We have to use a spell to make them balance :
'Stay where you are until our backs are turned !' 15
The gaps in the wall are made by :
Direction for [ Question No: 6 To 6 ] :
Which of phrases given below each sentence should replace the phrase printed in italics type to make the grammatically correct? If the sentence is correct as it is.
Direction for [ Question No: 7 To 7 ] :
Sometimes we went off the road and on a path through the pine forest. The floor of the forest was soft to walk on; the frost did not harden it as it did the road. But we did not mind the hardness of the road because we had nails in the soles and heels; the nails bit on the frozen ruts and with nailed boots it was good walking on the road and invigorating. It was lovely walking in the woods.
'Frozen ruts' means
The fragile sculpture is neither _____ nor _____.
Computer Awareness [ Question No: 9 To 9 ] :
Ctrl + H
General Awareness / General Knowledge (GK) [ Question No: 10 To 19 ] :
Which sea has no shore but entirely surrounded by the Atlantic Ocean ?
"French" is the official language of _____.
When is International Migrants Day observed?
Current Affairs [ Question No: 20 To 20 ] :
'Ladli Behna Yojana' was launched by the Chief Minister of Madhya Pradesh from
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 4 ] :
How many trailing zeros are in 125! ?
Your Answer : (Not Answered)
Correct Answer : C
The number of trailing zeros in a factorial n! is determined by the number of times 5 is a factor. We use the formula: \(\lfloor n/5 \rfloor + \lfloor n/25 \rfloor + \lfloor n/125 \rfloor + ...\)
For 125!, this is \(\lfloor 125/5 \rfloor + \lfloor 125/25 \rfloor + \lfloor 125/125 \rfloor = 25 + 5 + 1 = 31\).
There are 31 trailing zeros in 125!.
Find the number of rectangles which are not squares, and the number of squares, on an 8 by 8 chessboard, respectively.
Your Answer : (Not Answered)
Correct Answer : B
A rectangle on the board is fixed by choosing two of the nine vertical lines and two of the nine horizontal ones.
\[ {}^{9}C_{2} \times {}^{9}C_{2} = 36 \times 36 = 1296 \]
The squares are counted by size: an \( n \times n \) square can sit in \( (9-n)^{2} \) positions.
\[ 8^{2} + 7^{2} + \cdots + 1^{2} = 204 \]
\[ \text{rectangles that are not squares} = 1296 - 204 = 1092 \]
So the answer is 1092 and 204. Every square is a rectangle, which is why the two counts must be separated before comparing.
In 6 hours a tank is filled. After the tank is half filled, 3 more similar taps are opened. Estimate the total time the tank will take to fill.
Your Answer : (Not Answered)
Correct Answer : D
One tap fills the tank in 6 hours, so the first half takes 3 hours. Three more taps then join it, making four in all and quadrupling the rate:
\[ \text{time for the second half} = \frac{3 \text{ hours}}{4} = 45 \text{ minutes} \]
\[ \text{total} = 3\text{ h} + 45\text{ min} = 3\text{ h }45\text{ min} \]
The three extra taps are added to the original one, not substituted for it - reading it as three taps in total would give an hour for the second half.
A completes 60% of a task in 15 days and then takes the help of B and C. B is 50% as efficient as A is and C is 50% as efficient as B is. In how many more days will they complete the work?
Your Answer : (Not Answered)
Correct Answer : A
A completes 60% of the task in 15 days i.e., he completes 4% of the task in a day.
B is 50% as efficient as A is, therefore, B will complete 2% of the task in a day.
C is 50% as efficient as B is, therefore, C will complete 1% of the task in a day.
Together, A, B and C will complete 4 + 2 + 1 = 7% of the work in a day.
They have another 40% of the task to be completed. Therefore, they will take 40 / 7 more days to complete the task.
English Language [ Question No: 5 To 8 ] :
Direction for [ Question No: 5 To 5 ] :
Directions : Read the extract given below and answer the questions by selecting the correct/most appropriate options :
The work of hunters is another thing :
I have come after them and made repair
Where they have left not one stone on a stone,
But they would have the rabbit out of hiding,
To please the yelping dogs. The gaps I mean, 5
No one has seen them made or heard them made,
But at spring mending-time we find them there.
I let my neighbour know beyond the hill;
And on a day we meet to walk the line
And set the wall between us once again. 10
We keep the wall between us as we go.
To each the boulders that have fallen to each.
And some are loaves and some so nearly balls
We have to use a spell to make them balance :
'Stay where you are until our backs are turned !' 15
The gaps in the wall are made by :
Your Answer : (Not Answered)
Correct Answer : C
The gaps in the wall are made by hunters.
The poem opens 'The work of hunters is another thing: I have come after them and made repair where they have left not one stone on a stone, but they would have the rabbit out of hiding, to please the yelping dogs.' The hunters pull stones down in search of rabbits, and the speaker repairs what they leave.
Rabbits and dogs are what the hunters are after and what they please, not the ones who break the wall. The poem says that no one sees the gaps being made, but the first lines name the hunters as the cause; nature is not given as a cause.
Direction for [ Question No: 6 To 6 ] :
Which of phrases given below each sentence should replace the phrase printed in italics type to make the grammatically correct? If the sentence is correct as it is.
Your Answer : (Not Answered)
Correct Answer : D
No improvement is needed.
Every part takes a singular verb and means all of them taken one by one, which is the sense. Each part would emphasise the individuality unnecessarily, and most part is not idiomatic.
Direction for [ Question No: 7 To 7 ] :
Sometimes we went off the road and on a path through the pine forest. The floor of the forest was soft to walk on; the frost did not harden it as it did the road. But we did not mind the hardness of the road because we had nails in the soles and heels; the nails bit on the frozen ruts and with nailed boots it was good walking on the road and invigorating. It was lovely walking in the woods.
'Frozen ruts' means
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: wheel marks in which frost had become hard
A rut is a groove worn in a road by wheels, and frozen says the frost has set hard in it. That is why the road was hard while the forest floor was soft: the frost hardened the one and not the other.
The fragile sculpture is neither _____ nor _____.
Your Answer : (Not Answered)
Correct Answer : B
It is sturdy ... strong.
Fragile means easily broken, so both blanks must name qualities a fragile thing lacks, and the pair must agree with each other. Light and heavy contradict each other, which neither ... nor cannot accommodate.
Computer Awareness [ Question No: 9 To 9 ] :
Ctrl + H
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: Open Find and Replace Dialog box with activating Replace Tab
Ctrl + H opens the Find and Replace dialog with the Replace tab active. Inserting a hyperlink is Ctrl + K.
General Awareness / General Knowledge (GK) [ Question No: 10 To 19 ] :
Which sea has no shore but entirely surrounded by the Atlantic Ocean ?
Your Answer : (Not Answered)
Correct Answer : C
The sea with no shore is the Sargasso Sea.
The Sargasso Sea lies in the North Atlantic and is the only sea defined not by coastlines but by ocean currents: the Gulf Stream to the west, the North Atlantic Current to the north, the Canary Current to the east and the North Atlantic Equatorial Current to the south. It is named after the floating Sargassum seaweed found in it.
The Weddell Sea borders Antarctica, the Arctic Sea is surrounded by land in the far north, and the North Pacific is not in the Atlantic at all.
"French" is the official language of _____.
Your Answer : (Not Answered)
Correct Answer : A
It is Djibouti.
French and Arabic are both official in Djibouti, a French possession until 1977, while Somali and Afar are the languages most people speak.
Your Answer : (Not Answered)
Correct Answer : D
HIV kills the T-helper cells - the CD4 lymphocytes.
These cells coordinate the whole immune response, activating the killer cells and the antibody-producing B cells. As their number falls the defence collapses, and the patient succumbs to infections a healthy person would resist.
Your Answer : (Not Answered)
Correct Answer : A
Photosynthesis takes place in the leaf and any other chloroplast-bearing part.
Green stems, sepals and even the flesh of some fruits contribute. The leaf dominates because it is broad, thin and full of chloroplasts, with stomata to admit carbon dioxide.
Your Answer : (Not Answered)
Correct Answer : D
Chlorine bleaches by oxidation.
In water it gives hypochlorous acid, which releases nascent oxygen: \[\mathrm{Cl_2 + H_2O \rightarrow HCl + HOCl},\qquad \mathrm{HOCl \rightarrow HCl + [O]}\] The nascent oxygen oxidises the coloured compound to a colourless one. Because the change is oxidative it is permanent, unlike bleaching by sulphur dioxide, which works by reduction and reverses in air.
Your Answer : (Not Answered)
Correct Answer : B
Internet Explorer is a web browser.
Microsoft released it in 1995 and bundled it with Windows, which won it about 95 per cent of the market by 2003 and led to the antitrust case. It was replaced by Edge in 2015.
Your Answer : (Not Answered)
Correct Answer : A
Charles Richter.
He devised the scale at the California Institute of Technology in 1935 with Beno Gutenberg. It is logarithmic: each whole number is a tenfold increase in wave amplitude and about thirty-two times the energy.
Your Answer : (Not Answered)
Correct Answer : C
Lead is the metal that pollutes city air, chiefly from the tetraethyl lead once added to petrol as an anti-knock agent.
Inhaled lead accumulates in the body and damages the nervous system, and children are most at risk. Leaded petrol has now been banned almost everywhere; India phased it out in 2000.
When is International Migrants Day observed?
Your Answer : (Not Answered)
Correct Answer : B
International Migrants Day is observed on 18 December.
The date marks the adoption in 1990 of the International Convention on the Protection of the Rights of All Migrant Workers and Members of Their Families. About 281 million people live outside their country of birth.
Your Answer : (Not Answered)
Correct Answer : C
It ran between Kalyan and Pune.
The Deccan Queen was introduced in 1930 between Bombay and Poona, and the Kalyan-Pune section over the Bhor ghat was the first stretch of Indian railway to be electrified - the gradients there made steam haulage difficult.
Current Affairs [ Question No: 20 To 20 ] :
'Ladli Behna Yojana' was launched by the Chief Minister of Madhya Pradesh from
Your Answer : (Not Answered)
Correct Answer : D
The scheme was launched from Bhopal.
Chief Minister Shivraj Singh Chouhan launched the Mukhyamantri Ladli Behna Yojana on 5 March 2023 at a state-level event in Bhopal. The scheme pays eligible women a monthly sum directly into their bank accounts.
Jabalpur hosted the later event in June 2023 at which the first monthly instalment was transferred, which is why it is a tempting distractor; Indore and Gwalior were not the launch venues.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20