Directions (1 - 5): In each of the following sentences, there are two blank spaces. Below each sentence there are five pairs of words denoted by numbers (1), (2), (3), (4) and (5). Find out which pair of words can be filled up in the blanks in the sentences in the same sequence to make the sentence grammatically correct
Q1. The ___________ you work, the ___________ for your prosperity

A. more, best B. least, best C. harder, better D. decent, brightest

Answer: C
Explanation:
Q2. ___________ you need a duplicate ration card, you must submit the ___________ of your residence

A. Should, proof B. If, numbers C. Had guarantee D. Do, number

Answer: A
Q3. It was my ___________ that ___________ to the serious problem.

A. desire, brought B. negligence, led C. fault, lauded D. mistake, subjected

Answer: B
Q4. Because he was ___________ he left the party earlier and ___________ home.

A. tired, brought B. precarious, approached C. preoccupied, sent D. unwell, returned

Answer: D
Q5. An impartial person ___________ others without any ___________ .

A. likes, reservation B. judges, bias C. blames, prudence D. praises, point

Answer: B
Directions (6 - 10): Which of the phrases (a), (b), (c) and (d) given below each sentence should replace the phrase printed in bold in the sentence to make it grammatically correct? If the sentence is correct as it is given and no correction is required mark (e) as the answer
Q6. The Governor has a good collection of paintings adoring the walls of the Raj Bhavan

A. painting adoring the wall B. painting adoring the walls C. painting sticking the walls D. painting adorning the walls

Answer: D
Q7. The principals and teachers at the selected English Medium School were contacted

A. of the selected English Medium B. at the select English Medium C. upon the selected English Medium D. of the section English Medium

Answer: B
Q8. Besides these norms, the data were also analyzed to form the subgroups.

A. the data had analyzed also B. the data were also concluded C. the data were also analyzed D. data were analyzed also

Answer: C
Q9. He does not know the Mount Everest is the highest mountain peak

A. is a more highest mountain B. is the highest mountain C. is the higher mountain D. is the highest mountain

Answer: D
Q10. Walking in the morning in the open air is being observed to be better for the health of the people who live in congestion.

A. was observer the best B. hand has been proved far better C. has been observed well D. No correction required

Answer: D
Directions (11 - 20): In the following passage there are blanks, each of which has been numbered. These numbers are printed below the passage and against each, four words are suggested, one of which fits the blank appropriately. Find out the appropriate word in each case. Delinking of jobs 116 degrees is one of the salient 117 of our education 118. There has been a steep 119 in 120 in the academic field in recent years. There are 121 of degree holders in the country. As a result, university degrees have lost their value and charm while the number of students in colleges and universities of the country has been steadily 122. Consequently, thousands of graduates and postgraduates come out of these institutions and stand in 123 waiting to get some 124 jobs 125 in the country
Q11.

A. to B. with C. from D. by

Answer: C
Q12.

A. factors B. features C. reasons D. methods

Answer: B
Q13.

A. process B. system C. procedures D. policy

Answer: B
Q14.

A. fall B. rise C. down D. decrease

Answer: A
Q15.

A. evaluation B. assessment C. result D. competence

Answer: D
Q16.

A. flood B. growth C. increase D. slope

Answer: A
Q17.

A. falling B. diminishing C. rising D. growing

Answer: C
Q18.

A. lines B. long C. rows D. queues

Answer: D
Q19.

A. managerial B. nice C. prestigious D. available

Answer: C
Q20.

A. vacate B. posted C. created D. available

Answer: D
Directions (21 - 25): There are six sentences marked S1 , S6 , P, Q, R, S. The positions of S1 and S6 are fixed as the first and last sentence of the passage. You are required to choose one of the five alternatives given below every passage which would be most logical sequence of the sentences in the passage
Q21. S1: There are numerous kinds of superstitions in different parts of the country. S6: A dog’s howling predicts death– this is a typical superstition. SBI BANK PO MAIN EXAM 2015 M-11 P: But people go on respecting it through force of blind custom. Q: Most of them have a bearing on ‘luck’–good or bad. R: Superstitions usually have their origin in fear and ignorance. S: Nobody remembers now how a superstition first started in remote ages. The proper sequence should be:

A. QPRS B. RSPQ C. RSQP D. QSPR

Answer: D
Q22. S1: A spider’s web, after a shower of rain, is a very beautiful thing. S6: They are also feared because their bites may have unpleasant effects like a rash on the skin. P: This party explains why spiders are thoroughly disliked. Q: But no poet has ever sung of the beauty of the spiders, for most spiders are not beautiful. R: On the contrary, most of them are rather unattractive, if not ugly! S: Poets have sung about the beauty of the spider’s webs, comparing the water drops on them to ropes of pearls. The proper sequence should be:

A. SPQR B. QSRP C. QRSP D. SQRP

Answer: D
Q23. S1: Unhappiness and discontent spring not only form poverty. S6: We suffer from the sickness of spirit and hence we should discover our roots in the internal. P: Man is a strange creature fundamentally different from other animals. Q: If they are undeveloped and unsatisfied, he may have all the comforts of the wealth, but will still feel that life is not worthwhile. R: He has far horizons invariable hopes, spiritual powers. S: What is missing our age is the soul, there is nothing wrong with the body. The proper sequence should be:

A. PRQS B. SPRQ C. SPQR D. PRSQ

Answer: A
Q24. S1: On vacation in Tangier, Morocco, my friend and I sat down at a street cafe. S6: Finally a man walked over to me and whispered, “ Hey buddy .... This guy is your waiter and he wants your order.” P: At one point, he bent over with a big smile, showing me a single gold tooth and dingy fez. Q: Soon I felt the presence of someone standing alongside me. R: But this one wouldn’t budge. S: We had been cautioned about beggars and were told to ignore them. The proper sequence should be:

A. SQRP B. SQPR C. QSRP D. QSPR

Answer: C
Q25. S1: In 1934, William Holding published a small volume of poems. S6: But Lord of the flies which came out in 1954 was welcomed as ‘a most absorbing and instructive tale’. P: During World War II (1939-45) he joined the Royal Navy and was present at the sinking of the Bismarck. Q: He returned to teaching is 1945 and gave it up in 1962, and is now a full-time writer. R: In 1939, he married and started teaching at Bishop Wordsworth’s School in Salisbury. S: At first his novels were not accepted. The proper sequence should be:

A. RPQS B. RPSQ C. SRPQ D. SQPR

Answer: A
Directions (26 - 30): Read the following information and answer the questions that follows:
True, it is the function of the army to maintain law and order in abnormal times. But in normal times there is another force that compels citizens to obey the laws and to act with due regard to the rights of others. The force also protects the lives and the properties of law-abiding men. Laws are made to secure the personal safety of its subjects and to prevent murder and crimes of violence. They are made to secure the property of the citizens against theft and damage to protect the rights of communities and castes to carry out their customs and ceremonies, so long as they do not conflict with the rights of others. Now the good citizen, of his own free will obey these laws and he takes care that everything he does is done with due regard to the rights and well-being of others. But the bad citizen is only restrained from breaking these laws by fear of the consequence of his actions. And the necessary steps to compel the bad citizen to act as a good citizen are taken by this force. The supreme control of law and order in a state is in the hands of a Minister who is responsible to the State Assembly and acts through the Inspector General of Police.
Q26. The expression ‘customs and ceremonies’ means

A. fairs and festivals B. habits and traditions C. usual practices and religious rites. D. superstitions and formalities.

Answer: C
Q27. A suitable title for the passage would be :

A. the function of the army B. laws and people’s rights C. the fear of the law and citizen’s security. D. the functions of the police

Answer: D
Q28. Which of the following is not implied in the passage?

A. Law protects those who respect it B. Law protects those who respect it C. A criminal is deterred from committing crimes only for fear of the law D. The forces of law help to transform irresponsible citizens into responsible ones.

Answer: B
Q29. According to the writer, which one of the following is not the responsibility of the police?

A. To protect the privileges of all citizens B. To check violent activities of citizens. C. To ensure peace among citizens by safeguarding individual rights. D. To maintain peace during extraordinary circumstances.

Answer: C
Q30. Which of the following reflects the main thrust of the passage

A. It deals with the importance of the army in maintaining law and other B. It highlights the role of the police as superior to that of the army. C. It discusses the roles of the army and the police in different circumstances. D. It points to the responsibility of the Minister and the Inspector General of Police.

Answer: C

Q1. Introducing a man, a woman said, “His mother is the only daughter of my father”. How is the man related to the woman

A. Son B. Father C. Brother D. Uncle

Answer: A
Explanation: From the figure given below- we can conclude that the man is the son of the woman.
Directions: In Question nos. 2 to 7, select the related word/letters/number from the given alternatives.
Q2. BLOCKED : YOLXPVW: : ? : OZFMMXS

A. LABOURS B. LAUNNCH C. DEBATES D. RESULTS

Answer: B
Explanation: From the first couplet, we can relate then alphabets as per the following table
Hence, the required answer will be- LAUNNCH.
Q3. 12 : 72 : : 8 : ?

A. 36 B. 32 C. 38 D. 40

Answer: B
Explanation: 72 = 12[latex]\times \frac {12}{2}[/latex]
The Required Aswer = 8[latex]\times \frac {8}{2}[/latex] = 32
Q4. FIG : EGHJFH : : BIN : ?

A. ACJHMO B. CAHJMOC C. CAJHOM D. ACHJMO

Answer: D
Explanation: In the first couplet, F ---> EFG; I---> HIJ; G----> FGH;
Similarly, BIN -----------> ACHJMO;
Q5. 6 : 42 : : 7 : ?

A. 48 B. 40 C. 56 D. 52

Answer: C
Explanation: 42 = 6 [latex]\times (6 + 1)[/latex]
Similarly, the required answer = 7 [latex]\times (7 + 1)[/latex] = 56
Q6. Garbage : Hose: : Gangue: ?

A. Factory B. Drugs C. Office D. Ore

Answer: D
Explanation: Garbage is wasted or spoiled food and Hose is a flexible tube conveying water/other liquids. Similarly, Gangue is the commercially valueless material in which ore is found. Hence, option(d.) is the correct answer.
Q7. DBU : EEZ : : CJH : ?

A. DMN B. DNM C. DNN D. DMM

Answer: D
Explanation: DBU ------ (+1)(+3)(+5)------------- EEZ;
CJH------ (+1)(+3)(+5)------------- DMM.
Q. Directions: (8 - 13): Find the Odd Word/Letters/Number from the given alternatives.

A. Lawyer B. Legislator C. Mayor D. Governor

Answer: A
Explanation: All except lawyer are government officials. Hence, option (a.) is the correct answer.
Q9.

A. Acute B. Parallel C. Right D. Obtuse

Answer: B
Explanation: All except parallel are types of angles. Hence, option (b.) is the correct answer
Q10.

A. 50 B. 120 C. 37 D. 145

Answer: C
Explanation: All except 37 are divisible by 5.
Q11.

A. B S B. E V C. D X D. I Z

Answer: C
Explanation: All except DX have relative distance of 17 in the English dictionary.
Q12.

A. OKHA B. PERU C. ERKU D. ANDI

Answer: B
Explanation: All except PERU have two vowels at starting and ending position. Hence, option
Q13.

A. 200 B. 191 C. 808 D. 1331

Answer: D
Explanation: All except 1331 are not cubes of any number.
Q14. Find out the number of circles in the figure.

A. 18 B. 20 C. 16 D. 19

Answer:
Explanation: There are 7 circles in one circle. Hence, the total number of circles = [latex] 7\times 3 - 2 [/latex]
Common Circles = 19.
Q. Directions: (15 - 17): which one set of letters/numbers when sequentially placed at the gaps in the given letter series shall complete it?
Q15. SH_ELAS_EELA_HEELASHEE_A

A. HHSS B. EEHS C. ELHA D. EHSL

Answer: D
Explanation: After learning from the given pattern, we can find-
i. ‘H’ is always followed by ‘E’ and preceded by ‘S’.
ii. ‘S’ is always followed by ‘H’.
iii. ‘A’ is always followed by ‘S’ and preceded by ‘L’.
Hence, the correct answer will be= EHSL
Directions: What approximate value will come in place of question mark (?) in the following questions?
Q16. 16.5 % of 1399 . 921 + 114 . 78 % of 1211 = ?

A. 1270 B. 1350 C. 1490 D. 1610

Answer: D
Explanation: [latex](16.5 \times 14) + (115 \times 12) = 231 + 1380 = 1611[/latex]
1610 (approx.)
Q17. 7000.001 ÷ 699.983 × 4.020 = ?

A. 58 B. 32 C. 60 D. 40

Answer: D
Explanation: Approx Value = [latex]7000 \div 700 \times 4 [/latex]
= [latex]\times 4 [/latex]
= 40
Q18. 25.8 % of 235.9 [latex]\times 3.96 [/latex] = ?

A. 50 B. 150 C. 250 D. 350

Answer: C
Explanation: [latex] 26 \times 236 \times 4 / 100 = 245.44[/latex]
Approx. value can be [latex]\approx 250 [/latex]
Q19. 50550 ÷ 50 ÷ 5 = ?

A. 350 B. 150 C. 300 D. 200

Answer: D
Explanation: ? = [latex]\frac {50550}{50 \times {5}} = 202.2 \approx 200[/latex]
Q20. [latex]{[({7.99})^{2} - ({13.001})^{2} + ({13.001})^{2} + ({4.01})^{3}]}^{2}[/latex]

A. -1800 B. 1450 C. -1660 D. 1681

Answer: D
Explanation: [latex]{[({7.99})^{2} - ({13.001})^{2} + ({13.001})^{2} + ({4.01})^{3}]}^{2}[/latex] = x
x = [latex]{[{8}^{2} - {13}^{2} + {4}^{3}]}^{2}[/latex]
x = [latex]{[{64} - {169} + {64}]}^{2}[/latex]
x = [latex]{[- 41]}^{2}[/latex]
x = 1681
Directions: There is a group of six people in a family P, Q, R, S, T, U. They are by profession Painter, Mechanic, Librarian, Judge, dentist and Electrician. A dentist is the grandfather of U, who is a Painter. The mechanic S is married to P. R, the judge is married to the librarian. Q is the mother of T and U. Only two married couples are there in the family.
Q21. What is the profession of T?

A. Dentist B. Judge C. Mechanic D. None of these

Answer: D
Explanation: Family Tree diagram is given below -

U is Painter. Q is the mother of T and U means T is the brother or sister of U.
Keep in mind there are only two married couple in the family. Since S is married to the P, so R the Judge, who is married to the librarian, Q. Again we know that Mechanic S is married to P, means P is the dentist and grandfather of T and U.
From all these, we get that No else one is electrician hence T must be an electrician.
Clearly, T is the electrician hence answer is none of these means option 5th is the right answer.
Directions: There is a group of six people in a family P, Q, R, S, T, U. They are by profession Painter, Mechanic, Librarian, Judge, dentist and Electrician. A dentist is the grandfather of U, who is a Painter. The mechanic S is married to P. R, the judge is married to the librarian. Q is the mother of T and U. Only two married couples are there in the family.
Q22. How is P related to T?

A. Brother B. Uncle C. Father D. Grandfather

Answer: D
Explanation: A family Tree diagram is given below -

U is Painter. Q is the mother of T and U means T is the brother or sister of U.
Keep in mind there are only two married couple in the family. Since S is married to the P, so R the Judge, who is married to the librarian, would be married to Q. Again we know that Mechanic S is married to P, means P is the dentist and grandfather of T and U.
From all these, we get that No else one is electrician hence T must be an electrician.
So, P is the grandfather of T also. Hence right option is 4th
Q23. How many male members are there in the family?

A. one B. Three C. Four D. Data inadequate

Answer: D
Explanation:

U is Painter. Q is the mother of T and U means T is the brother or sister of U.
Keep in mind there are only two married couple in the family. Since S is married to the P, so R the Judge, who is married to the librarian, would be married to Q. Again we know that Mechanic S is married to P, means P is the dentist and grandfather of T and U.
From all these, we get that No else one is electrician hence T must be an electrician.
Since nothing is mentioned about T and U, so the exact number of male could not be determined.
Q24. What is the profession of P?

A. Dentist B. Librarian C. Judge D. Mechanic

Answer: A
Explanation: A family Tree diagram is given below -

U is Painter. Q is the mother of T and U means T is the brother or sister of U.
Keep in mind there are only two married couple in the family. Since S is married to the P, so R the Judge, who is married to the librarian, would be married to Q. Again we know that Mechanic S is married to P, means P is the dentist and grandfather of T and U.
From all these, we get that No else one is electrician hence T must be an electrician.
Clearly, P, who is the grandfather of U, is the dentist. Hence 1st is the right answer.
Q25. Which of the following is one of the pairs of a couple in the family?

A. PQ B. PR C. PS D. Can’t be determined

Answer: C
Explanation: A family Tree diagram is given below -

U is Painter. Q is the mother of T and U means T is the brother or sister of U.
Keep in mind there are only two married couple in the family. Since S is married to the P, so R the Judge, who is married to the librarian, would be married to Q. Again we know that Mechanic S is married to P, means P is the dentist and grandfather of T and U.
From all these, we get that No else one is electrician hence T must be an electrician.
Clearly, S, the mechanic, is married to P. So PS is also one of the couples in the family. Hence 3rd is the right answer
Directions: In a certain code ‘colors of the sky’ is written as ‘ki la fa so’, ‘rainbow colors’ is written as ‘ro ki’ and ‘sky-high rocket’ is written as ‘la pe jo’ and ‘the rocket world’ is written as ‘pe so ne’.
Q26. Which of the following is the code for ‘colors sky-high’?

A. ro jo la B. fa la jo C. la ki jo D. fa ki jo

Answer: E
Explanation: Colours of the sky = ki la fa so ...(i)
rainbow colours = ro ki ...(ii)
[from (i) and (ii)]
Colours = ki.....
sky high rocket = la pe jo ...(iii)
from (i) and (iii), sky = la
the rocket world = pe so ne
from (i) and (iv), the = so ...(iv)
and from (iii) and (iv), rocket = pe
Q27. Which of the following will/may represent ‘the’?

A. Only fa B. Only la C. Only so D. Either (a) or (b)

Answer: C
Q28. What does ‘pe’ represent in the code?

A. colours B. sky C. high D. rocket

Answer: D
Directions: Study the following information carefully and answer the given questions.

(i) A, B, C, D, E, F, G, and H are sitting around a circle facing the center but not necessarily in the same order. (ii) B sits second to the left of H’s husband. No female is an immediate neighbor of B. (iii) D’s daughter sits second to the right of F, F is the sister of G. F is not an immediate neighbor of H’s husband. (iv) Only one person sits between A and F. A is the father of G. H’s brother D sits to the immediate left of H’s mother. Only one person sits between H’s mother and E

Q29. What is the position of A with respect to his mother-in-law?

A. Immediate left B. Third to the right C. Third to the left D. Second to the right

Answer: D
Explanation: A’s mother-in-law is B and A is second to the right of B
Q30. What is the position of A with respect to his mother-grandchild?

A. Immediate Right B. Third to the right C. Third to the left D. Second to the right

Answer: A
Explanation: A’s grandchild is C and A is immediate right of C
Q31. Four of the following five are alike in a certain way based on the given information and so form a group. Which is the one that does not belong to that group?

A. F B. C C. E D. H

Answer: C
Explanation: Except C all others are women
Q32. Which of the following is true with respect to the given seating arrangement?

A. C is the cousin of E B. H and H’s husband are immediate neighbors of each other C. No female is an immediate neighbor of C D. B is the mother of H

Answer: D
Explanation: B is the mother of H which is true with respect to the given sitting arrangement
Q33. Who sits to the immediate left of C?

A. F’s grandmother B. G’s son C. D’s mother-in-law D. A

Answer: A
Explanation: F’s grandmother sits to the immediate left of C.
Directions (34 - 35): Read the following information and answer the questions that follow
In a Public Sector Undertaking Township, there are five executives – Ambrish, Amit, Rohit, Manu, and Tarun. Two of them play Cricket while the other three play different games viz. Football, Tennis, and Chess. One Cricket player and a Chess player stay in the third flat, whereas the other three stay in different flats, i.e. [latex]{2}^{nd}[/latex], [latex]{4}^{th}[/latex] and [latex]{5}^{th}[/latex]. Two of these five players are mechanical engineering while the other three are quality inspector, design engineer and power engineer respectively. The chess player is the oldest in age while one of the cricket players, who play at the national level, is the youngest in age. The age of the other cricket player, who plays at the regional level, lies between the football player and the chess player. Manu is a regional level player and stays in the [latex]{3}^{rd}[/latex] flat while Tarun is a quality inspector and stays in the [latex]{5}^{th}[/latex] flat. The football player is a design engineer and stays in the [latex]{2}^{nd}[/latex] Flat. Amit is a power engineer and plays Chess while Ambrish is the mechanical engineer and plays Cricket at the national level
Q34. Who stays in the 4th flat?

A. Ambrish B. Amit C. Rohit D. Manu

Answer: A
Q35. What does Tarun play?

A. Chess B. Football C. Cricket D. Tennis

Answer: D

Q1. The ratio between the present ages P and Q is 5 : 7 respectively. If the difference between Q’s present age and P’s age after 6 years is 2, what is the total of P’s and Q’s present ages?

A. 48 B. 50 C. 58 D. 60

Answer: A
Explanation: P : Q
5 x : 7Q
5 x + 6 : 7 x + 6
and given in question that 7x - 5x - 6 = 2 So that x = 4
5x + 7x = 48 years
Q2. Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7: 9, how old is Sachin?

A. 12 B. 24 C. 36 D. None of these

Answer: D
Explanation: Let Rahul Age x years
Sachin : Rahul
x - 4 : x
7 : 9
[latex]\frac {x - 4}{x} = \frac {7}{9}[/latex]
9 x - 36 = 7 x
x = 18 then age of Sachin is x - 4 = 18 - 4 = 14 years
Q3. A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

A. 18 days B. 24 days C. 30 days D. 36 days

Answer: A
Explanation: 2(A + B + C)’s 1 day’s work = [latex]\frac {1}{30} + \frac {1}{24} + \frac {1}{20} = \frac {150}{120}[/latex]
Therefore, (A + B + C)’s 1 day’s work = [latex]\frac {1}{{2}_{x}{8}} = \frac {1}{16}[/latex]
Work done by A, B, C in 10 days = [latex]\frac {10}{16} = \frac {5}{8}[/latex]
Remaining work = [latex]1 - \frac {5}{8} = \frac {3}{8}[/latex]
A’s 1 day’s work = [latex]\frac {1}{16} - \frac {1}{24} = \frac {3}{8} [/latex]
Now, [latex]\frac {1}{48} [/latex] work is done by A in 1 day.
So, [latex]\frac {3}{8} [/latex] work will be done by A in [latex] 48 \frac {3}{8} [/latex]
Q4. If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Madan whose age is 5 years, then what is Gangan’s present age?

A. 50 years B. 60 years C. 70 years D. 75 years

Answer: B
Explanation: Let Gagan Present Age = X year
x- 6 = [latex]\frac {y}{18} [/latex] = We got Anup age
From question we get the Anup age is 3 years
[latex]\frac {y}{18} [/latex] = 3
y = 54 years
x - 6 = 54
x = 60 years
Q5. In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is:

A. 20 years B. 19 years C. 39 years D. 29 years

Answer:
Explanation: C Let's B's present Age= x years. Then, A's present age = (x + 9) years.
So (x + 9) + 10 = 2 [latex] (x - 10) \Longleftrightarrow x = 39 [/latex]
Q6. The difference between the ages of two persons is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the elder person is:

A. 30 years B. 35 years C. 40 years D. 45 years

Answer:
Explanation: B Let their ages be x years and (x+10) years respectively.
Then, [latex](x + 10) - 15 = 2(x - 15) \Longleftrightarrow x - 5 = 2 x - 30 \Longleftrightarrow x = 25 [/latex]
so that present age of elder person=(x+10)=35 years
Q7. Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A. 12,421 B. 9,423 C. 11,600 D. 10,500

Answer: D
Explanation: The ratio of their investments : [latex] 50000 \times 36 : 80000 \times 30[/latex] = 3 : 4 Simrans share profit = ([latex]24500 \times \frac {3}{7})[/latex] = RS. 10,500
Q8. IfA boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

A. 2 hours B. 3 hours C. 4 hours D. 5 hours

Answer: C
Explanation: Speed downstream = (13 + 4) km/hr = 17 km/hr.
Time is taken to travel 68 km downstream = [latex]\frac {68}{17} = 4 hrs.[/latex]
Q9. A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

A. 8.5 km/hr B. 9 km/hr C. 10 km/hr D. 12.5 km/hr

Answer: C
Explanation: Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.
Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.
Q10. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

A. 2 : 1 B. 3 : 2 C. 8 : 3 D. Cannot be determined

Answer: C
Explanation: Let the man's rate upstream be x kmph and that downstream be y kmph.
Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
[latex]\Rightarrow x \times 8 \frac {4}{5} (y \times 4)[/latex]
[latex]\Rightarrow \frac {44}{5} x = 4 y[/latex]
y = [latex]\Rightarrow \frac {11}{5} x [/latex]
Required Ratio = [latex]\frac {y + x }{2} : \frac {y - x }{2}[/latex]
[latex]\frac {16 x}{5} \times \frac {1}{2} : \frac {6 x}{5} \times \frac {1}{2}[/latex]
= [latex]\frac {8}{5} : \frac {3}{5} [/latex]
= 8 : 3
Q11. The difference between two numbers is 45% of their summation. The ratio of the larger number to the smaller number will be-

A. 20:9 B. 9:20 C. 29:11 D. 11:29

Answer: B
Explanation: Let the speed of the stream be x km/hr. Then,
Speed downstream = (15 + x) km/hr,
Speed upstream = (15 - x) km/hr.
[latex]\frac {30}{15 + x} + \frac {30}{15 - x} = 4 \frac {1}{2}[/latex]
[latex]\Rightarrow \frac {900}{225 - {x}^{2}} = \frac {9}{2} [/latex]
[latex]\Rightarrow 9 {x}^{2}[/latex] = 225
[latex]\Rightarrow {x}^{2}[/latex] = 25
[latex]\Rightarrow [/latex]x = 5 km \ hr.
Q12. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

A. 3 km/hr B. 5 km/hr C. 8 km/hr D. 9 km/hr

Answer: C
Explanation: Speed in still water = [latex]\frac {1}{2} \times (11 + 5)[/latex] kmph = 8 kmph
Q13. A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

A. 4 km/hr B. 6 km/hr C. 8 km/hr D. Data inadequate

Answer: B
Explanation: Rate downstream = [latex]\frac {16}{2}[/latex] kmph = 8 kmph
Rate upstream = [latex]\frac {16}{4}[/latex] kmph = 4 kmph
Speed in still water = [latex]\frac {1}{2} \times (8 + 4)[/latex]kmph = 6 kmph
Q14. The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance traveled downstream in 12 minutes is:

A. 1.2 km B. 1.8 km C. 2.4 km D. 3.6 km

Answer: D
Explanation: Speed downstream = (15 + 3) kmph = 18 kmph. Distance travelled = 18 [latex] \times \frac {12}{60} km [/latex] = 3.6 km.
Q15. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:

A. 2 mph B. 2.5 mph C. 3 mph D. 4 mph

Answer: A
Explanation: Let the Speed of the stream x mph. Then,
Speed downstream = (10 + x) mph,
Speed Upstream = (10 - x) mph.
[latex]\frac {36}{10 - x} - \frac {36}{10 + x} = \frac {90}{60}[/latex]
[latex]\Rightarrow 72 x \times 60 = 90 (100 - {x}^{2}) [/latex]
[latex]\Rightarrow {x}^{2} + 48 x - 100 = 0[/latex]
[latex]\Rightarrow (x + 50)(x - 2) = 0 [/latex]
[latex]\Rightarrow[/latex] x = 2mph.
Q16. A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and comes back, how far is the place?

A. 2.4 km B. 2.5 km C. 3 km D. 3 km

Answer: A
Explanation: Speed downstream = (5 + 1) kmph = 6 kmph.
Speed upstream = (5 - 1) kmph = 4 kmph.
Let the required distance be x km.
Then, [latex]\frac {x}{6} + \frac {x}{4} = 1[/latex]
[latex]2 x + 3 x = 12[/latex]
[latex]5 x = 12[/latex]
[latex]x = 2.4 km.[/latex]
The below questions are meant to test your knowledge of percentages. Percentages are fractions of 100 so for example 40 out of 100 is 40/100=0.4 which again is 40%.
Q17. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are:

A. 39, 30 B. 41, 32 C. 42, 33 D. 43, 34

Answer: C
Explanation: Let their marks be (x + 9) and x.
Then, x + 9 = [latex]\frac {56}{100} (x + 9 x)[/latex]
[latex]25 (x + 9) = 14 (2x + 9)
[/latex]
[latex]3x = 99 [/latex]
[latex]x = 33 [/latex]
So, their marks are 42 and 33
Q18. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

A. 588 apples B. 600 apples C. 672 apples D. 700 apples

Answer: D
Explanation: Suppose originally he had x apples.
Then, (100 - 40) % of [latex] x = 420 [/latex]
[latex]\frac {60}{100} x = 420 [/latex]
[latex]x = \frac {(420 \times 100)}{60} = 700 [/latex]
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Q19. Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?

A. [latex]\frac {1}{3}[/latex] B. [latex]\frac {1}{8}[/latex] C. [latex]\frac {2}{8}[/latex] D. [latex]\frac {1}{16}[/latex]

Answer: B
Explanation: This is a simple division series; each number is one-half of the previous number. In other terms to say, the number is divided by 2 successively to get the next result.
[latex]\frac {4}{2} = 1[/latex]
[latex]\frac {2}{2} = 1[/latex]
[latex]\frac {1}{2} = \frac {1}{2}[/latex]
[latex]\frac {\frac {1}{2}}{2} = \frac {1}{4}[/latex]
[latex]\frac {\frac {1}{4}}{2} = \frac {1}{8}[/latex] and so on.
Q20. Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?

A. 7 B. 10 C. 12 D. 13

Answer: B
Explanation: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
Directions (Q. 21 - 25): What value should come in place of (?) in the following questions?
Q21. [latex]\frac {8}{9} of \frac {27}{32} of \frac {8}{15}[/latex] of 15 % 1200 = ?

A. 72 B. 84 C. 96 D. 58

Answer: A
Explanation: [latex]\frac {8}{9} \times \frac {27}{32} \times \frac {15} {100} \times 1200 = x[/latex]
x = 72
Q22. [latex](22 + 47 + 36 + 19) \div (7 + 5 - ? + 12) = 31[/latex]

A. 24 B. 16 C. 12 D. 20

Answer: D
Explanation: [latex](22 + 47 + 36 + 19) \div (7 + 5 - x + 12) = 31[/latex]
[latex] \frac {124}{24 - x} = 31[/latex]
[latex]\frac {124}{31} = 24 - x [/latex]
4 = 24 - 4 = 20
Q23. [latex]{5}^{?} = {(125)}^{2} \times {(625)}^{\frac {3}{4}} \div {5}^{7} \times {3125}^{2}[/latex]

A. 18 B. 12 C. 24 D. 36

Answer: B
Explanation: [latex]{5}^{x} = {(125)}^{2} \times {(625)}^{\frac {3}{4}} \div {5}^{7} \times {3125}^{2}[/latex]
[latex]{5}^{x} = ({5}^{3}){2} \times ({5}^{4}) ^ {\frac {3}{4}} \div {5}^{7} \times ({5}^{5})^{2}[/latex]
[latex]{5}^{x} = {5}^{6} \times {5}^{3} \div {5}^{7} \times {5}^{10} [/latex]
[latex]{5}^{x} = {5}^{6 + 3 - 7 + 10} [/latex]
[latex]{5}^{x} = {5}^{12} [/latex]
[latex] x = 12 [/latex]
Q24. [latex]\sqrt [3]{1728} \times \sqrt [4]{50625} \times\sqrt {3136} \div 9 = x[/latex]

A. 1340 B. 1060 C. 1120 D. 1280

Answer: C
Explanation: [latex]\sqrt [3]{1728} \times \sqrt [4]{50625} \times\sqrt {3136} \div 9 = x[/latex]
[latex]x = \frac {(12 \times 15 \times 56)} {9} [/latex]
[latex]x =1120[/latex]
Q25. [latex]{(112 \times 28)} \div {16} + ? [/latex] % of 400 = 531 + [latex]{13}^{2} [/latex]

A. 126 B. 142 C. 168 D. 150

Answer: A
Explanation: [latex]{(112 \times 28)} \div {16} + (\frac {x}{100}) \times 400 = 531 + 169[/latex]
196 + 4 [latex]x[/latex] = 531 + 169
[latex]4 x = 504[/latex]
[latex]x = \frac {5204}{4} = 126[/latex]
Directions (Q. 26 - 30): Study the following information carefully and answer the given questions
The following table shows the total number of peoples went for the museum from different districts in a certain week and the percentage of female among them.

Q26. Find the ratio between the total number of female went for the museum from district A and C together to that of the total number of people went for the museum from district B?

A. 17 : 23 B. 123 : 142 C. 257 : 316 D. 68 : 75

Answer: D
Explanation: The total number of female went for the museum from district A and C together = > [latex]1200 \times (\frac {42}{100}) + 1500 \times (\frac {48}{100}) [/latex]
= > 504 + 720 = 1224
The total number of people went for the museum from district B
= > 1350
Required ratio = 1224 : 1350 = 68 : 75
Q27. Find the difference between the total number of female went for the museum from district A and D together to that of total number of male went for the museum from district B and F together?

A. 25 B. 40 C. 70 D. 55

Answer: A
Explanation: The total number of female went for the museum from district A and D together = > [latex]1200 \times (\frac {42}{100}) + 950 \times (\frac {52}{100}) [/latex]
= > 504 + 494 = 998
The total number of male went for the museum from district B and F together= > [latex]1350 \times (\frac {46}{100}) + 800\times (\frac {44}{100}) [/latex]
= > 621 + 352 = 973
Required difference = 998 – 973 = 25
Q28. Find the average number of male went for the museum from district B, C and E together?

A. 680 B. 705 C. 665 D. 720

Answer: C
Explanation: The average number of male went for the museum from district B, C and E together = > [latex] \frac {[1350 \times (\frac {46}{100}) + 1500 \times (\frac {52}{100}) + 1100 \times (\frac {54}{100})]} {3} [/latex]
= > [latex] \frac {[621 + 780 + 594]} {3} [/latex]
= > [latex]\frac {1995} {3}[/latex] = 665
Q29. Total number of peoples went for the museum from districts C and E together is what percentage of total number of peoples went for the museum from districts A and F together?

A. 105 % B. 130 % C. 145 % D. 90 %

Answer: B
Explanation: Total number of peoples went for the museum from districts C and E together
= >1500 + 1100 = 2600
Total number of peoples went for the museum from districts A and F together
= >1200 + 800 = 2000
Required % = [latex](\frac {2600}{2000}) \times 100 = 130 %[/latex]
Q30. Total number of male went for the museum from district B is approximately what percentage more/less than the total number of female went for the museum from district E?

A. 23 % less B. 35 % less C. 52 % more D. 23 % more

Answer: D
Explanation: Total number of male went for the museum from district B
= > [latex]1350 \times (\frac {46}{100}) [/latex] = 621
Total number of female went for the museum from district E
= > [latex]1100 \times (\frac {46}{100}) [/latex] = 506
Required % = [latex] \frac {[(621 – 506)]} {506} \times 100 [/latex]= 22.72 % = 23 % more
Q31. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

A. Rs. 200 B. Rs. 250 C. Rs. 300 D. None of these

Answer: B
Explanation: [latex]\Rightarrow z + \frac {120}{5}z = 550[/latex]
[latex]\Rightarrow z + \frac {11}{5}z = 550[/latex]
[latex]\Rightarrow z = \frac {{550}_{x} {5}}{11} z = 250[/latex]
Q32. Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

A. Rs. 6876.10 B. Rs. 6999.2 C. Rs. 6654 D. Rs. 7000

Answer: A
Explanation: Rebate = 6% of Rs. 6650 = [latex] Rs. \frac {6}{100} \times 6650[/latex] = RS. 399
Sales tax = 10 % of Rs. (6650 – 399) = [latex]Rs. \frac {10}{100}[/latex] = 625 .10
∴ Final amount = Rs. (6251 + 625.10) = Rs. 6876.10
Q33. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

A. 4.37% B. 5% C. 6% D. 8.75%

Answer: A
Explanation: Increase in 10 years = (262500 – 175000) = 87500.
Increase % = [latex]\frac {87500}{175000} \times 100 %[/latex] = 50 %
∴ Required average = [latex]\frac {50}{10} \times %[/latex] = 5 %
Q34. When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

A. Rs. 21,000 B. Rs. 22,500 C. Rs. 25,300 D. Rs. 25,800

Answer: C
Explanation: 85 : 18700 = 115 : x
[latex]\Rightarrow x = \frac {{18700}_ {x}{115}}{85} = 25300[/latex]
Hence, S.P. = Rs. 25,300.
35. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

A. No profit, no loss B. 5% C. 8% D. 10%

Answer: B
Explanation: C.P. of 56 kg rice = [latex]RS. (26 \times 20 + 30 \times 36) = RS. (520 + 1080) = RS. 1600[/latex]
S.P. of 56 kg rice = [latex]RS. (56 \times 30) = RS. 1680[/latex]
∴ Gain % = [latex][\frac {100}{1700} \times 100] % = 5 %[/latex]