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 ] :
Which one of the given figures P, Q, R and S represents the graph of the following function?
\[ f(x) = \big|\, |x + 2| - |x - 1| \,\big| \]
A can build a wall in 30 days, while B alone can build it in 40 days. If they build it together and get a payment of Rs. 7000, what is B's share?
A man saves Rs. 200 in the first month, Rs. 250 in the second, Rs. 300 in the third and so on. How much will he have saved after 2 years?
Find out the wrong number in the series 19, 26, 33, 46, 59, 74, 91
The speed of a motor boat is that of the current of water as 36:5. The boat goes along with the current in 5 hours 10 min, it will come back in?
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Simplify 15ax² ⁄ 5x
Reasoning [ Question No: 8 To 11 ] :
Direction for [ Question No: 8 To 8 ] :
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: "The programme will start at 6 p.m. but you can come there up to 7 p.m. or so and still there is no problem."
Assumptions:
1. The programme will continue even after 7 p.m.
2. The programme may not even start by that time.
Direction for [ Question No: 9 To 9 ] :
In these questions, the real alphabets in a word are replaced by certain other alphabets according to a specific rule to form its code.
In a certain code language the word DISTURB is written as DTWVUKF. How will the word FRANTIC be written in that language?
Four pairs of the words are given, out of which the words of three pairs bear a certain common relationship. Choose the pair in which the words are differently related.
One term of this sequence has been replaced by a question mark. Determine the relationship and select the number that follows.
4, 5, 9, 14, 23, ?
General Awareness / General Knowledge (GK) [ Question No: 12 To 20 ] :
In the universe, what are pulsars?
Which amongst the following is currency of Thailand?
Which is the official language of "Panama"?
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 7 ] :
Which one of the given figures P, Q, R and S represents the graph of the following function?
\[ f(x) = \big|\, |x + 2| - |x - 1| \,\big| \]
Your Answer : (Not Answered)
Correct Answer : A
The graph is P.
Split the line at the points where the inner absolute values change sign, \(x = -2\) and \(x = 1\):
\[ \begin{aligned} x \le -2:&\ \ |(-x-2) - (1-x)| = |-3| = 3 \\ -2 \le x \le 1:&\ \ |(x+2) - (1-x)| = |2x+1| \\ x \ge 1:&\ \ |(x+2) - (x-1)| = 3 \end{aligned} \]
So \(f\) is 3 on both outer pieces, and in the middle it falls along \(|2x+1|\) from 3 at \(x = -2\) to 0 at \(x = -0.5\) and rises back to 3 at \(x = 1\). That is the V between two flat arms in P.
Q is \(|x+2| - |x-1|\) without the outer modulus, so it goes negative. R and S grow without bound on the left, which no part of \(f\) does.
A can build a wall in 30 days, while B alone can build it in 40 days. If they build it together and get a payment of Rs. 7000, what is B's share?
Your Answer : (Not Answered)
Correct Answer : B
The ratio of their efficiencies is inversely proportional to the time they take. Ratio of time A:B = 30:40 = 3:4. Ratio of efficiency A:B = 4:3. The wages will be shared in the ratio of efficiency. B's share = \(\frac{3}{4+3} \times 7000 = \frac{3}{7} \times 7000 = 3000\). B's share is Rs. 3000.
A man saves Rs. 200 in the first month, Rs. 250 in the second, Rs. 300 in the third and so on. How much will he have saved after 2 years?
Your Answer : (Not Answered)
Correct Answer : B
The savings form an Arithmetic Progression with the first term \(a = 200\) and common difference \(d = 50\). We need to find the sum for 2 years, which is \(n=24\) months.
The formula for the sum is \(S_n = \frac{n}{2}[2a + (n-1)d]\).
\(S_{24} = \frac{24}{2}[2(200) + (24-1)50] = 12[400 + (23)(50)] = 12[400 + 1150] = 12(1550) = 18600\).
He will have saved Rs. 18,600 after 2 years.
Find out the wrong number in the series 19, 26, 33, 46, 59, 74, 91
Your Answer : (Not Answered)
Correct Answer : B
The gaps should be the odd numbers, rising by 2 each time.
\[ 19 \xrightarrow{+7} 26 \xrightarrow{+9} 35 \xrightarrow{+11} 46 \xrightarrow{+13} 59 \xrightarrow{+15} 74 \xrightarrow{+17} 91 \]
The third term should be \( 26 + 9 = 35 \), not 33.
So 33 is the wrong number - every term after it fits the corrected value.
The speed of a motor boat is that of the current of water as 36:5. The boat goes along with the current in 5 hours 10 min, it will come back in?
Your Answer : (Not Answered)
Correct Answer : C
Let the speed of motor boat be 36x km/hr and that of current of water be 5x km/hr
Speed downstream = (36x +5x)km/hr = 41x km/hr
Speed upstream = (36 -5x)km/hr = 31x km/hr
Distance covered downstream = (41x × 31/6)km
Distance upstream = [1271x/6 × 1/31x]hrs
= 41/6 hrs = 6hrs 50 min
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Your Answer : (Not Answered)
Correct Answer : C
\[ 1 \text{ km/hr} = \frac{5}{18} \text{ m/s} \]
\[ 45 \text{ km/hr} = 12.5 \text{ m/s} \]
\[ t = \frac{360 + 140}{12.5} = \frac{500}{12.5} = 40 \text{ seconds} \]
Simplify 15ax² ⁄ 5x
Your Answer : (Not Answered)
Correct Answer : B
Divide the coefficients and subtract the exponents.
\[ \frac{15ax^{2}}{5x} = \frac{15}{5} \cdot a \cdot x^{2-1} = 3ax \]
The \( x \) in the denominator lowers the power by one; leaving it as \( x^{2} \) is the usual slip.
Reasoning [ Question No: 8 To 11 ] :
Direction for [ Question No: 8 To 8 ] :
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: "The programme will start at 6 p.m. but you can come there up to 7 p.m. or so and still there is no problem."
Assumptions:
1. The programme will continue even after 7 p.m.
2. The programme may not even start by that time.
Your Answer : (Not Answered)
Correct Answer : A
The statement mentions that there is no problem if one comes upto 7 p.m. also. This means that the programme will continue even after 7 p.m. So, I is implicit. Also, it is clearly mentioned that the programme will start at 6 p.m. So, II is not implicit.
Direction for [ Question No: 9 To 9 ] :
In these questions, the real alphabets in a word are replaced by certain other alphabets according to a specific rule to form its code.
In a certain code language the word DISTURB is written as DTWVUKF. How will the word FRANTIC be written in that language?
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: EKVPCTH
Reverse the word, then advance every letter by two. DISTURB reversed is BRUTSID, and adding two to each gives DTWVUKF. FRANTIC reversed is CITNARF, and adding two gives C→E, I→K, T→V, N→P, A→C, R→T, F→H, that is EKVPCTH.
Four pairs of the words are given, out of which the words of three pairs bear a certain common relationship. Choose the pair in which the words are differently related.
Your Answer : (Not Answered)
Correct Answer : B
The odd pair is Fish : River.
In the other three pairs, the second word is what the first eats: lizards eat insects, giraffes eat leaves, and lions eat meat. The relationship is animal and its food.
A fish lives in a river; the river is its habitat, not its food. So Fish : River is related differently from the other three.
One term of this sequence has been replaced by a question mark. Determine the relationship and select the number that follows.
4, 5, 9, 14, 23, ?
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: 37
Each term is the sum of the two before it. Testing this in the middle of the series, 4 plus 5 is 9, and 5 plus 9 is 14. Applying it to the last pair, 14 plus 23 is 37. As a check, subtracting 23 from the answer leaves 14, which is the term two places back, exactly as the rule requires. The gap pattern is often clearer when written as a separate row beneath the terms than when held in the head.
General Awareness / General Knowledge (GK) [ Question No: 12 To 20 ] :
In the universe, what are pulsars?
Your Answer : (Not Answered)
Correct Answer : B
Pulsars are rotating neutron stars.
A neutron star is the extremely dense core left when a massive star explodes as a supernova. Pulsars are neutron stars that spin rapidly, up to hundreds of times a second, and emit beams of radiation from their magnetic poles. As a beam sweeps past the Earth, it is detected as regular pulses, like a lighthouse.
A pulsar is a single object, not a group of stars. The explosion that creates it is a supernova, and the radio waves are what we detect from a pulsar, not the pulsar itself.
Which amongst the following is currency of Thailand?
Your Answer : (Not Answered)
Correct Answer : C
It is the baht.
The baht was a weight before it was a currency, and gold in Thailand is still sold by the baht of about 15 grams. Its devaluation in July 1997 began the Asian financial crisis.
Which is the official language of "Panama"?
Your Answer : (Not Answered)
Correct Answer : C
It is Spanish.
Spanish is the official language of Panama. English is widely spoken along the canal and among the Afro-Antillean community, and seven indigenous languages survive, Ngabere the largest.
Your Answer : (Not Answered)
Correct Answer : B
The Payment of Gratuity Act was enacted in 1972.
It makes gratuity payable to an employee who has rendered five years of continuous service, at fifteen days' wages for each completed year, on retirement, resignation, death or disablement.
Your Answer : (Not Answered)
Correct Answer : C
The Wanderers ground is at Johannesburg, South Africa. Standing at 1,753 m, it is the highest Test venue in the world, and the thin air makes it a fast bowler's ground.
It staged the match in which South Africa chased Australia's 434 in a one-day international in 2006.
Your Answer : (Not Answered)
Correct Answer : A
The router directs traffic.
It reads the destination IP address of each packet and forwards it towards the right network, choosing the path from its routing table. A switch works within one network by MAC address, and a hub simply repeats everything to every port.
Your Answer : (Not Answered)
Correct Answer : D
The internet uses packet switching.
Data is broken into packets, each routed independently and reassembled at the destination. No circuit is reserved, so the network is used efficiently and survives the loss of any link - the property it was designed for.
Your Answer : (Not Answered)
Correct Answer : A
Tania Sachdev is a chess player.
She holds the titles of International Master and Woman Grandmaster, has won the Indian women's championship several times, and won the Asian women's championship in 2007. She is also widely known as a chess commentator.
Your Answer : (Not Answered)
Correct Answer : C
Keoladeo National Park is the World Heritage site.
The wetland at Bharatpur, once the ducking preserve of the Maharaja, was inscribed in 1985. It is a wintering ground for thousands of waterbirds and was formerly the only Indian home of the Siberian crane.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20