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 ] :
The present ages of A and B are in the ratio 5 : 4. Two years ago the ratio of their ages was 4 : 3. What is the present age of A ?
If 560 workers can complete a project of constructing a bridge in 7 months, then how many more workers will be required to complete the same project in 5 months?
Pipes A and B can fill an empty tank in 15 hours and 18 hours, respectively. Pipe C is an emptying pipe. If all the three pipes are opened for 5 hours, then \(\frac{1}{9}\) th part of the tank can be filled. Pipe A and C together can empty a full tank in
If the sum of the interior angles of a regular polygon is 1080°, what is the name of the polygon?
Insert the missing number 1, 8, 27, 64, 125, 216, (....)
What is the possibility of having 53 Thursdays in a non-leap year?
In what ratio must a grocer mix teas worth Rs.60 a kg and Rs.65 a kg.So that by selling the mixture at Rs. 68.20 a kg, He may gain 10%?
Reasoning [ Question No: 8 To 14 ] :
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. H is fourth to the left of B and second to the right of F. A is third to the left of C, who is not an immediate neighbour of F. G is second to the left of A. D is second to the right of E.
Which of the following pairs represents the immediate neighbours of E?
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: Equality of income throughout a community is the essential condition for maximising the total utility which the total income available could confer on the members of that community.
Assumptions:
1. If extra income were taken from the rich and given to the poor, the total utility experienced by the community would increase.
2. Equal pay for equal work.
Direction for [ Question No: 10 To 10 ] :
In each of the following questions, there is a certain relationship between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the words of the given pair bear.Choose the correct alternatives.
Anatomy : Zoology : : Paediatrics : ?
If a man reaches the 15th letter from beginning and the 14th letter from the end in the English alphabet, what would be the letter exactly between these two letters?
If Patna is called as Kolkata, Kolkata as Surat, Surat as New Delhi, New Delhi as Ranchi, Ranchi as Mumbai, Mumbai as Tata Nagar, Tata Nagar as Shimla, Shimla as Haridwar, Haridwar as Chennai and Chennai as Bokaro. Which of the following city is the capital of India based on the given code?
What does 'come' represent in a code language ?
Statements:
1. 'pit na tac' means 'come and go' in that code language.
2. 'ja ta da' means 'you are good' in that code language.
3. 'na da rac' means 'you can come' in that code language.
A window always has
General Awareness / General Knowledge (GK) [ Question No: 15 To 20 ] :
A man of AB blood group meets with a serious accident and requires blood transfusion who among the following would donate blood to him?
| Relation | Blood group | |
|---|---|---|
| 1 | Wife | A |
| 2 | Son | AB |
| 3 | Friend | O |
| 4 | Daughter | B |
What is meaning of Mati Jnana in Jainism ?
The granting of fundamental rights to citizens aims at ensuring ?
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 7 ] :
The present ages of A and B are in the ratio 5 : 4. Two years ago the ratio of their ages was 4 : 3. What is the present age of A ?
Your Answer : (Not Answered)
Correct Answer : C
A's present age is 10 years.
Let the present ages be 5x and 4x. Two years ago they were 5x - 2 and 4x - 2, in the ratio 4 : 3:
\[ \begin{aligned} 3(5x - 2) &= 4(4x - 2) \\ 15x - 6 &= 16x - 8 \\ x &= 2 \end{aligned} \]
So A is 5 × 2 = 10 years old and B is 8. Two years ago they were 8 and 6, which is 4 : 3. The option of 8 years is B's age, not A's, and 12 years does not satisfy the second ratio.
If 560 workers can complete a project of constructing a bridge in 7 months, then how many more workers will be required to complete the same project in 5 months?
Your Answer : (Not Answered)
Correct Answer : D
224 more workers are needed. The work is 560 × 7 = 3920 worker-months. In 5 months the workers needed are 3920 / 5 = 784. The extra workers are 784 - 560 = 224.
784 is the total required, not the extra, and 400 and 408 do not come from the inverse proportion.
Pipes A and B can fill an empty tank in 15 hours and 18 hours, respectively. Pipe C is an emptying pipe. If all the three pipes are opened for 5 hours, then \(\frac{1}{9}\) th part of the tank can be filled. Pipe A and C together can empty a full tank in
Your Answer : (Not Answered)
Correct Answer : C
Pipes A and C together can empty a full tank in 30 hours. In one hour, A fills 1/15 and B fills 1/18, which together make 11/90 of the tank. With C also open, 1/9 of the tank is filled in 5 hours, which is 1/45 per hour.
\[ \frac{11}{90} - c = \frac{1}{45} \]
\[ c = \frac{9}{90} = \frac{1}{10} \]
So C empties the tank at 1/10 per hour. A and C together then change the tank by 1/15 - 1/10 = -1/30 of it per hour, so they empty a full tank in 30 hours. The options 25, 28 and 35 hours do not follow from these rates.
If the sum of the interior angles of a regular polygon is 1080°, what is the name of the polygon?
Your Answer : (Not Answered)
Correct Answer : C
The formula for the sum of the interior angles of an n-sided polygon is (n-2) × 180°.
(n-2) × 180° = 1080°
n - 2 = 1080 / 180
n - 2 = 6
n = 8.
A polygon with 8 sides is an octagon.
Insert the missing number 1, 8, 27, 64, 125, 216, (....)
Your Answer : (Not Answered)
Correct Answer : B
The series is the cubes of the natural numbers.
\[ 1^{3},\; 2^{3},\; 3^{3},\; 4^{3},\; 5^{3},\; 6^{3} = 1,\; 8,\; 27,\; 64,\; 125,\; 216 \]
\[ \text{next} = 7^{3} = \mathbf{343} \]
The distractor 392 is \( 216 + 176 \), continuing the differences by eye rather than recognising the cubes.
What is the possibility of having 53 Thursdays in a non-leap year?
Your Answer : (Not Answered)
Correct Answer : B
A non-leap year has 365 days:
\[ 365 = 52 \times 7 + 1 \]
So there are 52 Thursdays for certain, plus one leftover day. A 53rd Thursday occurs only if that day is a Thursday, and it is equally likely to be any of the seven days.
\[ P = \frac{1}{7} \]
A leap year has two leftover days and the probability rises to \( \tfrac{2}{7} \).
In what ratio must a grocer mix teas worth Rs.60 a kg and Rs.65 a kg.So that by selling the mixture at Rs. 68.20 a kg, He may gain 10%?
Your Answer : (Not Answered)
Correct Answer : A
Remove the profit first to get the cost price of the mixture.
\[ \text{CP} = \frac{68.20}{1.10} = \text{Rs. } 62 \]
\[ \frac{\text{Rs. 60 tea}}{\text{Rs. 65 tea}} = \frac{65 - 62}{62 - 60} = \frac{3}{2} \]
The mean must lie between the two prices; 68.20 does not, which is why it cannot be used directly.
Reasoning [ Question No: 8 To 14 ] :
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. H is fourth to the left of B and second to the right of F. A is third to the left of C, who is not an immediate neighbour of F. G is second to the left of A. D is second to the right of E.
Which of the following pairs represents the immediate neighbours of E?
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: HC
Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix B; H sits four to B’s left, opposite him, and F two to H’s left. A is three to C’s left and G two beyond A, which fits the remaining seats in only one way and keeps C clear of F; D and E then take the last two. Clockwise the circle reads B → D → C → E → H → A → F → G.
E sits with C on one side and H on the other, so those two are her neighbours. D and A are each two seats away.
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: Equality of income throughout a community is the essential condition for maximising the total utility which the total income available could confer on the members of that community.
Assumptions:
1. If extra income were taken from the rich and given to the poor, the total utility experienced by the community would increase.
2. Equal pay for equal work.
Your Answer : (Not Answered)
Correct Answer : A
The total utility can be maximised by equality of income throughout the community, i.e., by giving extra income from the rich to the poor. So, I is implicit. Also, II pertains to economic right and is not concerned with equality of income throughout the community. So, it is not implicit.
Direction for [ Question No: 10 To 10 ] :
In each of the following questions, there is a certain relationship between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the words of the given pair bear.Choose the correct alternatives.
Anatomy : Zoology : : Paediatrics : ?
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: Medicine
The relation is branch : the discipline it belongs to. Anatomy is a branch of zoology when it deals with animal structure; paediatrics is a branch of medicine, concerned with the diseases of children.
If a man reaches the 15th letter from beginning and the 14th letter from the end in the English alphabet, what would be the letter exactly between these two letters?
Your Answer : (Not Answered)
Correct Answer : A
The letter exactly between them is N. The 15th letter from the beginning is O. The 14th letter from the end is the \(27 - 14 = 13\)th from the beginning, which is M. M is the 13th and O the 15th, so the letter exactly between them is the 14th, N. L is before M and so lies outside the pair, and O is one of the two end letters, so neither can be between them. M likewise is itself one of the two letters. In alphabetical order the 13th, 14th and 15th letters are M, N and O, so the letter between the 13th (M) and the 15th (O) is the 14th, N.
If Patna is called as Kolkata, Kolkata as Surat, Surat as New Delhi, New Delhi as Ranchi, Ranchi as Mumbai, Mumbai as Tata Nagar, Tata Nagar as Shimla, Shimla as Haridwar, Haridwar as Chennai and Chennai as Bokaro. Which of the following city is the capital of India based on the given code?
Your Answer : (Not Answered)
Correct Answer : C
The capital of India is New Delhi. In the code, New Delhi is called Ranchi, so the city that stands for the capital is Ranchi. Check the chain: Patna is called Kolkata, Kolkata is called Surat, Surat is called New Delhi, and New Delhi is called Ranchi. The question asks which city, in the code names, is the capital, so we look up what name the code gives to New Delhi, and that is Ranchi. Haridwar and Kolkata are different code names (Haridwar stands for Chennai and Kolkata for Surat). The answer is Ranchi, option C.
What does 'come' represent in a code language ?
Statements:
1. 'pit na tac' means 'come and go' in that code language.
2. 'ja ta da' means 'you are good' in that code language.
3. 'na da rac' means 'you can come' in that code language.
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: Only 1 and 3
Statements 1 and 3 share exactly one word, ‘come’, and exactly one code, ‘na’, so ‘na’ must stand for it. Statement 2 contains neither the word nor that code and contributes nothing, so the pair 1 and 3 is both sufficient and the smallest set that works.
A window always has
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: None of these
The question asks what is always present, not what usually is. A window is an opening in a wall, and it need have nothing else. Panes may be absent from an unglazed opening, and curtains and grilles are additions - so none of these is always present.
General Awareness / General Knowledge (GK) [ Question No: 15 To 20 ] :
A man of AB blood group meets with a serious accident and requires blood transfusion who among the following would donate blood to him?
| Relation | Blood group | |
|---|---|---|
| 1 | Wife | A |
| 2 | Son | AB |
| 3 | Friend | O |
| 4 | Daughter | B |
Your Answer : (Not Answered)
Correct Answer : D
All four can donate, so the answer is 1, 2, 3 and 4.
A person of group AB has both A and B antigens on his red cells and therefore neither anti-A nor anti-B antibodies in his plasma. Red cells of group A, B, AB or O will not be attacked, which is why AB is called the universal recipient.
So the wife (A), son (AB), friend (O) and daughter (B) are all compatible. Only 2, or 2 and 4, or 1, 2 and 4, each leave out a donor whose blood the man can receive; leaving out the friend is the most surprising, since group O is the universal donor.
Your Answer : (Not Answered)
Correct Answer : A
The difference is that one is public and the other private.
An intranet uses the same protocols as the internet but is restricted to one organisation, behind a firewall. The internet is open to everyone.
Your Answer : (Not Answered)
Correct Answer : D
pH denotes the acidity or basicity of a solution - strictly, the negative logarithm of the hydrogen ion concentration:
\[ \mathrm{pH} = -\log_{10}[\mathrm{H^+}] \]
Below 7 is acidic, 7 is neutral and above 7 is basic. Being logarithmic, each unit is a tenfold change in concentration.
Your Answer : (Not Answered)
Correct Answer : B
It belongs to Buddhism.
The Kalachakra, or wheel of time, is the highest tantric initiation of Tibetan Buddhism, conferred by the Dalai Lama before large gatherings and preceded by the making of a sand mandala that is swept away at the end.
What is meaning of Mati Jnana in Jainism ?
Your Answer : (Not Answered)
Correct Answer : A
It is perception through the sense organs.
Mati jnana is the first of the five kinds of knowledge in Jainism - what is gained through the senses and the mind. Shruta is knowledge from scripture, avadhi is clairvoyance, manahparyaya telepathy and kevala omniscience.
The granting of fundamental rights to citizens aims at ensuring ?
Your Answer : (Not Answered)
Correct Answer : B
Fundamental rights aim at ensuring individual liberty.
They set limits the state cannot cross - on speech, movement, religion, life and personal liberty - and are enforceable in court under Article 32. That enforceability is what turns a declaration into a protection.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20