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 7 ] :
Direction for [ Question No: 1 To 1 ] :
Directions : BMI is defined as being the mass of a person (in kg) divided by the square of the height (in metres). The data about 5 persons has been given in the table below.
| Person | Height (m) | Weight (kg) |
|---|---|---|
| A | 1·45 | 45 |
| B | 1·50 | 50 |
| C | 1·55 | 55 |
| D | 1·70 | 60 |
| E | 1·80 | 70 |
Based on this data answer the questions below :
If an adolescent’s height increases by 10% and his mass by 10%, by how much will his BMI change ?
Three numbers are in the ratio 1 : 2 : 3 and their LCM is 720. The HCF of these numbers is:
What type of triangle is formed by sides of length 7, 8, and 13?
Find the one which does not belong to that group ?
If 4th december 1999 is Monday then what day is 3rd january 2000 ?
On what dates of July.2004 did Monday fall?
If \(2^x \times 16^{\frac{2}{5}} = 2^{\frac{1}{5}}\), then \(x\) is equal to:
Reasoning [ Question No: 8 To 10 ] :
Direction for [ Question No: 8 To 8 ] :
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 H and third to the left of A. D is not an immediate neighbour of either B or H and is second to the right of F. C is fourth to the right of G.
If E and F interchange their places, who will be second to the right of B?
Direction for [ Question No: 9 To 9 ] :
In each question below is given a statement followed by two assumptions numbered I and II. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.
Give answer
- (A) If only assumption I is implicit
- (B) If only assumption II is implicit
- (C) If either I or II is implicit
- (D) If neither I nor II is implicit
- (E) If both I and II are implicit.
Statement: A good book, even if costly, is sold.
Assumptions:
1. Some books are better than others.
2. Most of the books are costly
Which one of the options best describes the transformation of the 2-dimensional figure P to Q, and then to R, as shown?
General Awareness / General Knowledge (GK) [ Question No: 11 To 19 ] :
What is the 'fibre' used to make bulletproof jackets?
Which of the following ministry has turned down the proposal to rename West Bengal to ‘Bangla’ ?
Current Affairs [ Question No: 20 To 20 ] :
Where is the Siyom bridge located that was completed by the Border Roads Organisation and inaugurated by Defence minister Rajnath Singh in January 2023?
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 7 ] :
Direction for [ Question No: 1 To 1 ] :
Directions : BMI is defined as being the mass of a person (in kg) divided by the square of the height (in metres). The data about 5 persons has been given in the table below.
| Person | Height (m) | Weight (kg) |
|---|---|---|
| A | 1·45 | 45 |
| B | 1·50 | 50 |
| C | 1·55 | 55 |
| D | 1·70 | 60 |
| E | 1·80 | 70 |
Based on this data answer the questions below :
If an adolescent’s height increases by 10% and his mass by 10%, by how much will his BMI change ?
Your Answer : (Not Answered)
Correct Answer : C
The BMI changes by about minus 9%.
Mass is multiplied by 1.1, and height by 1.1, so the square of the height is multiplied by 1.21:
\[ \begin{aligned} \text{new BMI} &= \frac{1.1\,m}{(1.1\,h)^2} \\ &= \frac{1}{1.1} \times \frac{m}{h^2} \\ &\approx 0.909 \times \text{BMI} \end{aligned} \]
That is a fall of about 9.1%.
'Plus 10%' and 'Plus 11%' forget that height enters the formula squared, so the larger denominator wins. 'Minus 10%' treats division by 1.1 as subtracting 10%, but dividing by 1.1 lowers a value by only about 9.1%.
Three numbers are in the ratio 1 : 2 : 3 and their LCM is 720. The HCF of these numbers is:
Your Answer : (Not Answered)
Correct Answer : B
The HCF is 120. Let the numbers be x, 2x and 3x. Their LCM is 6x, so \[ 6x = 720 \Rightarrow x = 120 \] The HCF of x, 2x and 3x is x, which is 120.
The other values do not satisfy 6x = 720.
A check: the three numbers are 120, 240 and 360, whose LCM is 720 and whose HCF is 120, so the answer follows directly.
What type of triangle is formed by sides of length 7, 8, and 13?
Your Answer : (Not Answered)
Correct Answer : C
We use the converse of the Pythagorean theorem. Let c be the longest side.
If a² + b² > c², the triangle is acute.
If a² + b² = c², the triangle is right-angled.
If a² + b² < c², the triangle is obtuse.
Here, a=7, b=8, c=13.
a² + b² = 7² + 8² = 49 + 64 = 113.
c² = 13² = 169.
Since 113 < 169 (a² + b² < c²), the triangle is obtuse-angled.
Find the one which does not belong to that group ?
Your Answer : (Not Answered)
Correct Answer : C
All four use two 4s and two 2s, so look at how they are arranged.
In 4422, 2442 and 2244 the like digits sit together as pairs.
In 4242 they alternate, so no two identical digits are adjacent.
So 4242 does not belong.
If 4th december 1999 is Monday then what day is 3rd january 2000 ?
Your Answer : (Not Answered)
Correct Answer : D
Here from 4th December 1999 to 3rd January 2000,
there is a difference of 30 days.
Number of odd days = 30/7 = 2 odd days
Then no. of odd days = 2 => tuesday and wednesday(from monday).
Hence on 3rd january it is wednesday.
On what dates of July.2004 did Monday fall?
Your Answer : (Not Answered)
Correct Answer : D
Let us find the day on 1st July, 2004.
2000 years have 0 odd day. 3 ordinary years have 3 odd days.
Jan. Feb. March April May June July
31 + 29 + 31 + 30 + 31 + 30 + 1
= 183 days = (26 weeks + 1 day) = 1 t .
Total number of odd days = (0 + 3 + 1) odd days = 4 odd days. '
:. 1st July 2004 was 'Thursday',-,-
Thus, 1st Monday in July 2004 _as on 5th July.
Hence, during July 2004, Monday fell on 5th, 12th, 19th and 26th. .
If \(2^x \times 16^{\frac{2}{5}} = 2^{\frac{1}{5}}\), then \(x\) is equal to:
Your Answer : (Not Answered)
Correct Answer : D
\(2^x \times 16^{\frac{2}{5}} = 2^{\frac{1}{5}}\)
\(\Rightarrow 2^x \times (2^4)^{\frac{2}{5}} = 2^{\frac{1}{5}} \)
\(\Rightarrow 2^x \times 2^{\frac{8}{5}}= 2^{\frac{1}{5}} \)
\(\Rightarrow 2^{(x+ \frac{8}{5})} = 2^{\frac{1}{5}} \)
\(\Rightarrow x + \frac{8}{5} = \frac{1}{5} \)
\(\Rightarrow x = (\frac{1}{5} - \frac{8}{5}) = -\frac{7}{5}\)
Reasoning [ Question No: 8 To 10 ] :
Direction for [ Question No: 8 To 8 ] :
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 H and third to the left of A. D is not an immediate neighbour of either B or H and is second to the right of F. C is fourth to the right of G.
If E and F interchange their places, who will be second to the right of B?
Your Answer : (Not Answered)
Correct Answer : E
Correct answer: None of these
Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix B; H sits two to B’s left and A three to B’s right. D may touch neither B nor H, which leaves only one seat for D once F is placed two seats to D’s left, and E takes the seat beside B. Clockwise the circle reads B → E → H → ? → D → A → F → ?, the two open seats being directly opposite each other. C is fourth to G’s right - which in a circle of eight means simply opposite - so C and G fill those two seats, but which takes which is not fixed.
After the exchange, F takes E’s old seat beside B and E takes F’s. Counting two seats to B’s right - anticlockwise - then gives the undecided seat and lands on E. E is not among the choices, so the answer is none of these.
Direction for [ Question No: 9 To 9 ] :
In each question below is given a statement followed by two assumptions numbered I and II. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.
Give answer
- (A) If only assumption I is implicit
- (B) If only assumption II is implicit
- (C) If either I or II is implicit
- (D) If neither I nor II is implicit
- (E) If both I and II are implicit.
Statement: A good book, even if costly, is sold.
Assumptions:
1. Some books are better than others.
2. Most of the books are costly
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: Only assumption I is implicit
To say a good book sells even when dear is to distinguish good books from the rest - assumption I. Assumption II claims most books are costly, which the remark does not need: it speaks of the case where a book happens to be. Only I is implicit.
Which one of the options best describes the transformation of the 2-dimensional figure P to Q, and then to R, as shown?
Your Answer : (Not Answered)
Correct Answer : A
The transformation is a clockwise rotation by 90°, then a reflection along a horizontal line.
Follow the star's one long arm. In P it points to the upper right. In Q it points to the lower right: turning the figure clockwise by 90° carries the upper-right direction to the lower-right, so Operation 1 is a clockwise quarter turn.
In R the long arm points to the upper right again. A reflection in a horizontal line swaps up and down while keeping left and right, which takes the lower-right arm back to the upper right. A reflection in a vertical line would instead send it to the lower left.
A counter-clockwise quarter turn of P would put the long arm at the upper left, not where it is in Q, and a 180° rotation would put it at the lower left. That rules out the other three options.
General Awareness / General Knowledge (GK) [ Question No: 11 To 19 ] :
What is the 'fibre' used to make bulletproof jackets?
Your Answer : (Not Answered)
Correct Answer : D
Bulletproof jackets are made with Kevlar.
Kevlar, an aramid (aromatic polyamide) fibre developed by Stephanie Kwolek at DuPont in 1965, is about five times stronger than steel by weight. Layers of Kevlar fabric absorb and spread the energy of a bullet, which is why it is used in body armour and helmets.
Nylon and Terylene (polyester) are synthetic fibres used in clothing, ropes and fabrics but are far too weak to stop bullets. Tweed is a woollen fabric.
Your Answer : (Not Answered)
Correct Answer : A
The protein coat of a virus is the capsid.
It is built of repeating subunits called capsomeres, and it protects the nucleic acid and attaches the virus to a host cell. A complete virus particle is a virion; a viroid is a naked infectious RNA with no protein at all.
Your Answer : (Not Answered)
Correct Answer : C
The relation is velocity = frequency × wavelength.
\[v = f\lambda\] In a given medium the speed is fixed, so frequency and wavelength vary inversely. When a wave passes into another medium the frequency stays the same - it is set by the source - and the wavelength changes with the speed.
Your Answer : (Not Answered)
Correct Answer : A
This is adhesive force.
Adhesion acts between molecules of different substances - water and glass, ink and paper. Cohesion acts between molecules of the same substance. Whether a liquid wets a surface or beads up depends on which of the two is stronger.
Your Answer : (Not Answered)
Correct Answer : C
Jute is called the golden fibre of India, for its colour and for the export earnings it once brought.
It is grown chiefly in West Bengal, Bihar and Assam, needing the hot humid climate and alluvial soil of the Ganga delta, and is used for sacking, hessian and rope.
Your Answer : (Not Answered)
Correct Answer : C
Giani Zail Singh was Secretary-General of the Non-Aligned Movement.
He held the post from 1983 to 1986 while President of India, India having taken the chair of the movement at the Delhi summit of 1983. He was the first Sikh President of India.
Your Answer : (Not Answered)
Correct Answer : A
It was founded by Norman Borlaug.
He proposed a Nobel-equivalent for food and agriculture, and the prize was established in 1986 with an endowment from General Foods. M.S. Swaminathan was its first laureate in 1987.
Your Answer : (Not Answered)
Correct Answer : B
It started in 2000.
The Pradhan Mantri Gramodaya Yojana provided additional central assistance to states for village-level projects in five priority areas: primary health, primary education, rural shelter, rural drinking water and nutrition.
Which of the following ministry has turned down the proposal to rename West Bengal to ‘Bangla’ ?
Your Answer : (Not Answered)
Correct Answer : D
The Ministry of External Affairs turned down the proposal to rename West Bengal as 'Bangla'.
Its objection was that the name would be too close to Bangladesh and could cause confusion in international dealings. Renaming a state requires an Act of Parliament under Article 3.
Current Affairs [ Question No: 20 To 20 ] :
Where is the Siyom bridge located that was completed by the Border Roads Organisation and inaugurated by Defence minister Rajnath Singh in January 2023?
Your Answer : (Not Answered)
Correct Answer : B
The Siyom bridge is in Arunachal Pradesh. It was built by the Border Roads Organisation and inaugurated by Defence Minister Rajnath Singh in January 2023, as part of road links in the Siang region of the state, where the Siyom is one of the rivers.
Assam, Ladakh and Sikkim also have BRO bridges, but the Siyom river and bridge are in Arunachal Pradesh. The second option is the answer.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20