Instruction
- Total number of questions : 20
- Time allotted : 30:00 Minutes:Seconds.
- Each question carry 1 mark, no negative marks.
- DO NOT refresh the page.
- All the best
Quantitative Aptitude [ Question No: 1 To 5 ] :
A started a business with ₹ 1,40,000 and after 5 months, B joined A as his partner. After a year, the profit is divided in the ratio 2 : 3. What was B's contribution in the capital ?
An observer, 1.5 meter tall is 28.5 meter away from a chimney. The angle of elevation of the top of the chimney from his eyes is 45°. Height of the chimney is
If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:
Three solid metallic balls of diameter 3 cm, 4 cm and 5 cm are melted into a single solid sphere. The radius of the new sphere is
Original breadth of a rectangular box is 20 cm. The box was then remade in such a way that its length got increased by 30% but the breadth decreased by 20%. This led to an increase in area by 100sq.cm. What is the new area of the box?
Reasoning [ Question No: 6 To 11 ] :
Direction for [ Question No: 6 To 6 ] :
Study the following information carefully and answer the questions given below it.
Following are the conditions to appoint a Distributor for petroleum gas throughout Delhi:
The applicant should ----
(i) Be an Indian by nationality.
(ii) Be in the age group of 21-50 years on 5th September, 1997.
(iii) Be minimum Matriculate or recognized equivalent.
(iv) Be a resident of Delhi for not less than 5 years immediately preceding the date of application.
(v) Have family income of not more than Rs.50,000 annually.
(vi) Not have any dealership in any oil company.
(vii) Have no close relatives as a dealer / distributor of any oil company.
(viii) Restrictions relating to annual income, would not be applicable to persons working in corporations, owned or controlled by state government, but the case shall be referred to the Managing Director.
(ix) For unemployed graduates, conditions at (vi) and (vii) may be waived.
(x) If a person belongs to SC / ST but is not a resident of Delhi, the case may be referred to the Chairman.
On the basis of the above conditions and the informations provided against each applicant, decide which of the following courses of action should be taken.
Mark answer (A) if the applicant is selected: (B) if the candidate is not selected: (C) if the case is to be referred to the Managing Director and (D) if the case is to be referred to the Chairman.
Amandeep is an unemployed graduate who has been living in Delhi since 1987. He is a citizen of India and his date of birth is 2nd February, 1974. His father is the only earner in the family drawing Rs.800 per month.
Direction for [ Question No: 7 To 7 ] :
Study the following information carefully and answer the questions given below:
A, B, C, D, E, F, G and H are sitting around a circle facing the centre. B is second to the right of D, who is third to the right of F. C is second to the left of A, who is second to the left of F. G is third to the right of E.
Who is on the immediate left of G?
Direction for [ Question No: 8 To 9 ] :
In each question below is given a statement followed by three assumptions numbered I, II and III. You have to consider the statement and the following assumptions, decide which of the assumptions is implicit in the statement and choose your answer accordingly.
Statement: "As our business is expanding, we need to appoint more staff." Owner of a company informs his staff.
Assumptions:
1. The present staff is not competent.
2. More staff will further expand the business.
3. Suitable persons to be taken as staff will be available.
Statement: The professor announced in the class that the next periodical examination will be held on 15th of the next month.
Assumptions:
1. All the students may appear in the examination.
2. The college will remain open on 15th of the next month.
3. The students can study till 15th of the next month to pass the examination
The run of numbers below stops one term short of where it should. Determine the relationship and select the number that follows.
1, 5, 6, 11, 17, 28, ?
Which letter will be 13th to the left of 11th letter from the right in the following series of letters?
W Q E T R Y I P U O A G S D F H L K J B C X M V Z N
English Language [ Question No: 12 To 13 ] :
Direction for [ Question No: 12 To 12 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct? If the sentence is correct as it is, mark 'E' as the answer.
Computer Awareness [ Question No: 14 To 14 ] :
If A ⊕ B = C, then
General Awareness / General Knowledge (GK) [ Question No: 15 To 18 ] :
Chairman of the First National Backward Class Commission was
Who among the following is known as 'Father of Modern Indian Astronomy'?
Current Affairs [ Question No: 19 To 20 ] :
Which State's Governor has appointed a lady Air Force officer as the first woman in India from Forces as 'Aided de Camp' ?
Consider the following statements :
1. Odisha recently launched "Drink from the tap Mission-Sujal" to ensure the supply of quality drinking water to the people.
2. Odisha achieved the target of 100 percent household water supply connections in 2020.
Choose the correct statement(s) :
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 5 ] :
A started a business with ₹ 1,40,000 and after 5 months, B joined A as his partner. After a year, the profit is divided in the ratio 2 : 3. What was B's contribution in the capital ?
Your Answer : (Not Answered)
Correct Answer : C
B's contribution was ₹ 3,60,000.
Profit is shared in the ratio of capital multiplied by time. A's money was in for 12 months, and B's for 7 months (joining after 5):
\[ \begin{aligned} \frac{140000 \times 12}{B \times 7} &= \frac{2}{3} \\ 14B &= 3 \times 1680000 \\ B &= 360000 \end{aligned} \]
Check: 1,40,000 × 12 = 16,80,000 and 3,60,000 × 7 = 25,20,000, which are in the ratio 2 : 3. Ignoring the time would give ₹ 2,10,000, which is not an option.
An observer, 1.5 meter tall is 28.5 meter away from a chimney. The angle of elevation of the top of the chimney from his eyes is 45°. Height of the chimney is
Your Answer : (Not Answered)
Correct Answer : A
The chimney is 30 metres tall.
From the observer's eyes, the top of the chimney is at 45°, so the height above eye level equals the horizontal distance:
\[ \begin{aligned} h_{1} &= 28.5 \times \tan 45^{\circ} = 28.5\ \text{m} \\ H &= 28.5 + 1.5 = 30\ \text{m} \end{aligned} \]
The observer's eye height must be added, since the angle is measured from his eyes, not from the ground. The other options do not follow from the given distance and angle.
If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:
Your Answer : (Not Answered)
Correct Answer : D
First recover the rate–time product from the original bill.
\[ \text{PW} = 110 - 10 = 100 \quad\Longrightarrow\quad 100k = 10 \quad\Longrightarrow\quad k = 0.1 \]
Doubling the time doubles \( k \) to 0.2, so for the same Rs. 110:
\[ \text{PW}' = \frac{110}{1.2} = 91.67 \quad\Longrightarrow\quad \text{TD}' = 110 - 91.67 = \text{Rs. } 18.33 \]
True discount does not double when the time doubles - the Rs. 20 option is exactly that assumption. It grows more slowly, because the present worth it is computed on shrinks at the same time.
Three solid metallic balls of diameter 3 cm, 4 cm and 5 cm are melted into a single solid sphere. The radius of the new sphere is
Your Answer : (Not Answered)
Correct Answer : C
Melting conserves volume, and every sphere's volume is proportional to \( r^{3} \), so the \( \tfrac{4}{3}\pi \) cancels throughout.
The radii are 1.5, 2 and 2.5 cm:
\[ R^{3} = 1.5^{3} + 2^{3} + 2.5^{3} = 3.375 + 8 + 15.625 = 27 \]
\[ R = \sqrt[3]{27} = 3 \text{ cm} \]
Radii add in the cube, never directly: \( 1.5 + 2 + 2.5 = 6 \) is the first distractor and is far too large.
Original breadth of a rectangular box is 20 cm. The box was then remade in such a way that its length got increased by 30% but the breadth decreased by 20%. This led to an increase in area by 100sq.cm. What is the new area of the box?
Your Answer : (Not Answered)
Correct Answer : C
Let the original length be \( L \), with breadth 20 cm.
\[ A_{\text{old}} = 20L \]
The length rises by 30% and the breadth falls by 20%:
\[ A_{\text{new}} = (1.3L)(0.8 \times 20) = (1.3L)(16) = 20.8L \]
\[ A_{\text{new}} - A_{\text{old}} = 0.8L = 100 \quad\Longrightarrow\quad L = 125 \text{ cm} \]
\[ A_{\text{new}} = 20.8 \times 125 = 2600 \text{ cm}^{2} \]
The question asks for the new area; the old one is 2500 cm², offered as the last distractor.
Reasoning [ Question No: 6 To 11 ] :
Direction for [ Question No: 6 To 6 ] :
Study the following information carefully and answer the questions given below it.
Following are the conditions to appoint a Distributor for petroleum gas throughout Delhi:
The applicant should ----
(i) Be an Indian by nationality.
(ii) Be in the age group of 21-50 years on 5th September, 1997.
(iii) Be minimum Matriculate or recognized equivalent.
(iv) Be a resident of Delhi for not less than 5 years immediately preceding the date of application.
(v) Have family income of not more than Rs.50,000 annually.
(vi) Not have any dealership in any oil company.
(vii) Have no close relatives as a dealer / distributor of any oil company.
(viii) Restrictions relating to annual income, would not be applicable to persons working in corporations, owned or controlled by state government, but the case shall be referred to the Managing Director.
(ix) For unemployed graduates, conditions at (vi) and (vii) may be waived.
(x) If a person belongs to SC / ST but is not a resident of Delhi, the case may be referred to the Chairman.
On the basis of the above conditions and the informations provided against each applicant, decide which of the following courses of action should be taken.
Mark answer (A) if the applicant is selected: (B) if the candidate is not selected: (C) if the case is to be referred to the Managing Director and (D) if the case is to be referred to the Chairman.
Amandeep is an unemployed graduate who has been living in Delhi since 1987. He is a citizen of India and his date of birth is 2nd February, 1974. His father is the only earner in the family drawing Rs.800 per month.
Your Answer : (Not Answered)
Correct Answer : A
Amandeep is selected.
He is an Indian citizen, aged 23 on 5 September 1997 (born February 1974), a graduate, and has lived in Delhi since 1987, which is more than five years. His family income is his father's Rs.800 a month, which is Rs.9600 a year, well within Rs.50,000. Nothing is said about dealerships, but as an unemployed graduate the conditions on dealerships (vi) and (vii) may be waived. Every condition is met, so he is selected.
Direction for [ Question No: 7 To 7 ] :
Study the following information carefully and answer the questions given below:
A, B, C, D, E, F, G and H are sitting around a circle facing the centre. B is second to the right of D, who is third to the right of F. C is second to the left of A, who is second to the left of F. G is third to the right of E.
Who is on the immediate left of G?
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: H
Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix B; D sits two to B’s left, F three beyond D, A two to F’s left and C two to A’s left - a single chain filling five seats. G three to E’s right then fits the remaining three in only one way. Clockwise the circle reads B → C → D → G → H → F → E → A.
G’s left is the next seat clockwise, and H occupies it. D is on G’s right.
Direction for [ Question No: 8 To 9 ] :
In each question below is given a statement followed by three assumptions numbered I, II and III. You have to consider the statement and the following assumptions, decide which of the assumptions is implicit in the statement and choose your answer accordingly.
Statement: "As our business is expanding, we need to appoint more staff." Owner of a company informs his staff.
Assumptions:
1. The present staff is not competent.
2. More staff will further expand the business.
3. Suitable persons to be taken as staff will be available.
Your Answer : (Not Answered)
Correct Answer : D
The statement mentions that the present staff is insufficient, not incompetent. So, I is not implicit. Also, the purpose for appointing more staff is to control the expanding business, not to expand it further. So, II is not implicit. Since the company owner talks of appointing more staff, so III is implicit.
Statement: The professor announced in the class that the next periodical examination will be held on 15th of the next month.
Assumptions:
1. All the students may appear in the examination.
2. The college will remain open on 15th of the next month.
3. The students can study till 15th of the next month to pass the examination
Your Answer : (Not Answered)
Correct Answer : C
The statement mentions only the schedule of the examination. But this doesn't ensure full attendance of students on that day. However, this implies that the college will remain open on the date of examination to hold the same and that the students can study till that date to pass the examination. Hence, only II and III are implicit, while I is not.
The run of numbers below stops one term short of where it should. Determine the relationship and select the number that follows.
1, 5, 6, 11, 17, 28, ?
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: 45
Each term is the sum of the two before it. Testing this in the middle of the series, 1 plus 5 is 6, and 5 plus 6 is 11. Applying it to the last pair, 17 plus 28 is 45. As a check, subtracting 28 from the answer leaves 17, which is the term two places back, exactly as the rule requires. The size of the jump between the last two terms sets a rough expectation for the answer, which filters the options.
Which letter will be 13th to the left of 11th letter from the right in the following series of letters?
W Q E T R Y I P U O A G S D F H L K J B C X M V Z N
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: E
The series has twenty-six letters, so the eleventh from the right is at position
\[ 26 - 11 + 1 = 16 \]
Counting into W Q E T R Y I P U O A G S D F H..., position 16 is H.
Thirteen to the left of H is position 3:
\[ 16 - 13 = 3 \rightarrow E \]
Working in positions rather than counting letters twice keeps the two steps independent.
English Language [ Question No: 12 To 13 ] :
Direction for [ Question No: 12 To 12 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct? If the sentence is correct as it is, mark 'E' as the answer.
Your Answer : (Not Answered)
Correct Answer : C
It should read to lord it over.
Lord it over is the idiom, and the it is fixed - it cannot be dropped, and no other preposition will do. It means to behave domineeringly towards.
Your Answer : (Not Answered)
Correct Answer : A
It is admittance.
One d, two t's. The t doubles because admit ends in a stressed syllable with a single vowel and a single consonant - the same rule that gives permitted and beginning.
Computer Awareness [ Question No: 14 To 14 ] :
If A ⊕ B = C, then
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: Both (a) & (b)
XOR is its own inverse, so an equation may be rearranged freely: from \( A\oplus B=C \), XOR both sides with \(B\) to get \( A = B\oplus C \), or with \(A\) to get \( B = A\oplus C \). Both rearrangements hold, which is why the third option - \( A\oplus B\oplus C = 0 \) - is also true but is not the only one.
General Awareness / General Knowledge (GK) [ Question No: 15 To 18 ] :
Chairman of the First National Backward Class Commission was
Your Answer : (Not Answered)
Correct Answer : A
The first Backward Classes Commission was chaired by Kaka Kalelkar.
Appointed by the President in January 1953 under Article 340, the commission submitted its report in 1955, identifying more than 2,000 backward castes. The government did not accept its recommendations.
The second Backward Classes Commission (1979) was headed by B.P. Mandal. John Mathai was a Finance Minister, and Madhu Dandavate a Railway and later Finance Minister; neither headed this commission.
Who among the following is known as 'Father of Modern Indian Astronomy'?
Your Answer : (Not Answered)
Correct Answer : B
M. K. Vainu Bappu (Manali Kuppuswamy Vainu Bappu) is known as the Father of Modern Indian Astronomy. He directed the Kodaikanal Observatory, co-discovered the Bappu-Bok-Newkirk comet, formulated the Wilson-Bappu effect and led the creation of the Indian Institute of Astrophysics and the Kavalur observatory. Jayant Narlikar is known for cosmology and the steady-state theory, Subrahmanyan Chandrasekhar for the Chandrasekhar limit, and Thanu Padmanabhan for gravitation and cosmology. The title in the question belongs to Bappu.
Your Answer : (Not Answered)
Correct Answer : C
It was John Keats.
The line opens Endymion, published in 1818: a thing of beauty is a joy for ever, its loveliness increases, it will never pass into nothingness. Keats was 22 and had three years to live.
Your Answer : (Not Answered)
Correct Answer : D
Verghese Kurien is associated with the White Revolution.
He built the Amul cooperative at Anand and led Operation Flood from 1970, which made India the world's largest milk producer. The Green Revolution in foodgrains is associated with M.S. Swaminathan.
Current Affairs [ Question No: 19 To 20 ] :
Which State's Governor has appointed a lady Air Force officer as the first woman in India from Forces as 'Aided de Camp' ?
Your Answer : (Not Answered)
Correct Answer : B
The Governor was of Mizoram.
In November 2023 the Governor of Mizoram, Hari Babu Kambhampati, appointed Squadron Leader Manisha Padhi of the Indian Air Force as his aide-de-camp, the first woman from the armed forces to serve as an ADC to a Governor in India.
The Governors of Manipur, Meghalaya and Assam made no such appointment.
Consider the following statements :
1. Odisha recently launched "Drink from the tap Mission-Sujal" to ensure the supply of quality drinking water to the people.
2. Odisha achieved the target of 100 percent household water supply connections in 2020.
Choose the correct statement(s) :
Your Answer : (Not Answered)
Correct Answer : A
Only statement 1 is correct, so the answer is Only 1.
In October 2020 Odisha launched the Drink from Tap Mission (Sujal), to supply safe drinking water round the clock that can be drunk straight from the tap, beginning with Puri (1).
Statement 2 is wrong. Odisha did not achieve 100 percent household tap water connections in 2020; under the Jal Jeevan Mission it was then still far from full coverage, and Sujal itself began with a single town. So options including statement 2 are wrong.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20