Numerical Ability Questions For Bank Exams

Q.1.Let R = qs—4. When s=8, R=16. When s=10, R is equal to
a. 11 b. 14 c. 20 d. 21
Answer-d
Q.2.
Answer d
Q.3. If 272/3 × 81-1/2 = 3x, the value of x is
a. -1 b. 0
c. 1 d. 2
Answer -b
Q.4. 0.333 .... × 0.444 .... is equal to
a. 0.148148148 ....
b. 0.777 ....
c. 0.121212 ....
d. 1.333 ....
Answer-a
Q.5.

Answer-d
Q.6.

Answer-c
Q.7.

Answer-c
Q.8.

Answer-c
Q.9. On converting the following base-2 numeral in base ten, 1101101, we get
a. 96 b. 104 c. 108 d. 109
Answer-d
Q.10. The number of prime factors of (6)10×(7)17×(55)27
a. 54 b. 64 c. 81 d. 91
Answer-d
Q.11. A train crosses a pole in 15 seconds, while it crosses 100 meter long platform in 25 seconds. The length of the train is -
a. 125m b. 135 m c. 159 m d. 175 m
Answer-c
Q.12.Two taps A and B can fill a tank in 12 minutes and 15 minutes respectively. If both the taps are opened simultaneously and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B?
a. 7 min & 15 sec
b. 7 min & 45 sec
c. 8 min & 5 sec
d. 8 min & 15 sec
Answer-d
Q.13. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio, the liquids be mixed in both the vessels so that the new liquid contains half milk and half water?
a. 7:5 b. 1:2
c. 2:1 d. 6:5
Answer-a
Q.14.A car covers a distance of 715 km at a constant speed. If the speed of the car would have been 10 km/hr more, then it would have taken 2 hours less to cover the same distance. What is the original speed of the car?
a. 45 km/hr
b. 50 km/hr
c. 55 km/hr
d. 65 km/hr
Answer-c
Q.15.A is 50% as efficient as B. C does half of the work done by A and B together. If C alone does the work in 40 days, then A, B and C together can do the work in

Answer-a
Q.16. A person covered some distance in 12 hours. He covered half the distance by rail @ 75 km per hour and the rest by car @ 45 km/hr. The total distance covered by him was
a. 450 km
b. 675 km
c. 337.5 km
d. 1350 km
Answer-b
Q.17. A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A's share, 4 times B's share and 7 times C's share are all equal. The share of C is
a. Rs. 84
b. Rs. 147
c. Rs. 196
d. Rs. 240
Answer-a
Q.18. A and B entered into a partnership investing Rs. 12000 and Rs. 9000 respectively. After 3 months C also joined them with a capital of Rs. 15000. The share of C in the half yearly profit of Rs. 9500 is
a. Rs. 3500
b. Rs. 3000
c. Rs. 2500
d. Rs. 4000
Answer-c
Q.19.A can do a piece of work in 12 days and B can do it in 18 days. They started the work together but A left 3 days before the completion of the work. The total number of days to complete the work is

Answer-b
Q.20.The ratio of income of A and B is 5:4 and their expenditure is as 3:2. If at the end of the year, each saves Rs. 800, then the income of A is
a. Rs. 1700
b. Rs. 1800
c. Rs. 2000
d. Rs. 2200
Answer-c
Q.21.A and B can together finish a work in 30 days. They worked at it for 10 days together and then B left. The remaining work was done by A alone in 30 more days. B alone can finish the work in
a. 48 days
b. 60 days
c. 75 days
d. 90 days
Answer-d
Q.22.The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. If the total surface is 616 sq. cm, the volume of the cylinder is
a. 1848 cm3
b. 1232 cm3
c. 1078 cm3
d. 980 cm3
Answer-c
Q.23.A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle is
a. 30 cm
b. 60 cm
c. 72 cm
d. 108 cm
Answer-b
Q.24.A man walking at the rate of 6km per hour crosses a square field diagonally in 9 seconds. The area of the field is-
a. 125 sq. cm
b. 112.5 sq. cm
c. 110 sq. cm
d. 100√2 sq. m
Answer-b
Q.25.A rectangular carpet has an area of 240 sq. cm. If its diagonal and the longer side are together equal to five times the shorter side, the length of the carpet is -
a. 10 cm
b. 24 cm
c. 26 cm
d. 27.5 cm
Answer-b
Q.26.The ratio of 435 : 25 is same as
a. 4 : 1
b. 2 :1 c. 7 : 5
d. 7 :10
Answer-a
Q.27. A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube is
a. √π : √6
b. √π : √6
c. √π : √3
d. √6 : √π
Answer-d
Q.28.The marked price of a table is Rs. 3000 and is available at successive discounts of 20% and 10% respectively. If there is an additional discount of 5% on cash payment, then what is the cash price of the table?
a. Rs. 2400
b. Rs. 2160
c. Rs. 2100
d. Rs. 2052
Answer-d
Q.29.A trader marks his goods 25% above the C.P. but discounts 15% on the marked price. His gain percent in the deal is-

Answer-b
Q.30. A certain sum becomes Rs. 5290 in 2 years and Rs. 6083.50 in 3 years at C.I. The rate of interest per annum is -
a. 10% b. 12%
c. 15% d. 16⅔ %
Answer-c
Q.31.A person borrowed Rs. 500@ 3% per annum S.I and Rs. 600 @4½% per annum on the agreement that the whole amount will be returned only when the total interest becomes Rs. 126. The number of years, after which the borrowed sum is to be returned, is
a. 2 b. 3
c. 4 d. 5
Answer-b
Q.32.A sum of Rs. 12,000 doubles in 5 years at C.I. What will be the amount after 20 years?
a. Rs. 1,20,000
b. Rs. 1,92,000
c. Rs. 1,24,000
d. Rs. 96,000
Answer-b33. A person sold 320 mangoes for the C.P. of 400 mangoes. His gain percent is
a. 10% b. 15%
c. 12½%
d. 25% Answer-d
Q.34.On selling each of the rwo radios for Rs. 5000, a person neither gained nor lost. If he had sold one radio at 25% gain, then at what percent loss did he sell the other radio?

Answer-a
Q.35. A person bought some oranges @ Rs. 10 per dozen and bought the same amount of oranges @ Rs. 8 per dozen. He sold these oranges @ Rs. 11 per dozen and gained Rs. 120. The total number of oranges bought by him was -
a. 30 dozen
b. 40 dozen
c. 50 dozen
d. 60 dozen
Answer-d
Q.36.On selling a certain commodity for Rs. 425, there is as much gain as loss on selling it for Rs. 355. The C.P. of the commodity is
a. Rs. 370
b. Rs. 385
c. Rs. 390
d. Rs. 400
Answer-c
Q.37.A sum of Rs. 800 amounts to Rs. 920 in three years at S.I. If the rate of interest is increased by 5% then the amount will increase to
a. Rs. 950
b. Rs. 980
c. Rs. 1010
d. Rs. 1040
Answer-d
Q.38.Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number is
a. 24 b. 36 c. 17 d. 72
Answer-d
Q.39.A house owner wants to get his house painted. He is told that this would require 25 kg of paint. Allowing for 15% wastage and assuming that the paint is available in 2kg tins, the number of tins required for painting the house is -
a. 15
b. 12 c. 10
d. 20 Answer-a
Q.40.Price of food grains have risen by 10% and of other items of consumption by 15%. If the ratio of an employee's expenditure on food grains and other items is 2:5, by how much should his salary be increased so that he may maintain the same level of consumption as before, assuming that his present salary is Rs. 3500?a. Rs. 300
b. Rs. 350
c. Rs. 375
d. Rs. 475
Answer-d

Punjab National Bank (Management Trainee)

PREVIOUS PAPER Held on: 11-01-2009 (Based on memory)

Test-I: Reasoning

Q.1. If each vowel ofthe word WEBPAGE is substituted with the next letter of the English alphabetical series, and each consonant is substituted with the letter preceding it,which of the following letters will appear thrice? 1)G 2) F 3) Q 4) V 5) None of these
Q.2.How many meaningful four-letter English words can be formed with the letters TPSI using each letter only once in each word? 1)One 2) Two 3) Three 4) Four 5) More than four
Q.3.Nitin correctly remembers that Nidhi's birthday is before Friday but after Tuesday. Derek correctly remembers that Nidhi's birthday is after Wednesday but before Saturday. On which of the following days does Nidhi's birthday definitely fall ? 1)Monday 2) Tuesday 3) Wednesday 4) Thursday 5) Cannot be determined
Q.4 How many such pairs of letters are there in the word DOCUMENTARY each of which has as many letters between them in the word as there are between them in the English alphabet? 1)None 2) One 3) two 4) Three 5) More than three
Q.5.Raman starts from point P and walks towards South and stops at point Q. He now takes a right turn followed by a left turn and stops at point R. He finally takes a left turn and stops at point S. If he walks 5 km before taking each turn towards which direction will Raman have to walk from point S to reach point Q? 1)North 2) South 3) West 4) East 5) North West
Q.6.If the digits of the number 26839514 are arranged in desscending order, the position of how many digits will remain unchanged? 1)One 2) Two 3) Three 4)Four 5) None
Q.7.In a certain code KITE is written as %2$# and STUD is . written as @$57, How is DESK written in that code? 1)8'%©# 2) ©8%# 3) #7%@ 4)7#@% 5) None of these
Q.8.The following groups of alphabets form a certain pattern with regard to their position in the English alphabetical series. Based upon the pattern, which of the following five alternatives shall replace the question mark? XDH, VGJ, TJL, RMN, ? 1) OOP 2) PPP 3) SNO 4)QLM 5) None of these
Q.9.What should come next in the following letter series? b a c b a cd b a c deb a cd e fb a c d 1)c 2)d 3)e 4)f 5) g
Q.10. Among six friends L, M, N, P, Q and S, each having a different height, N is taller than Q and P but shorter than M. P is taller than only Q while S is shorter than only L. Which of the following pairs represents the tallest and the shortest among the five friends? 1)M,P 2)L,Q 3)P,Q 4) Cannot be determined 5) None ofthese
Directions (Q. 11-15): In each of the questions below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Q.11. Statements: All snakes are eagles. Some eagles are rabbits. All rabbits are birds, Some birds arc animals . Conclusions: I Some animals are snakes. Il Some birds are snakes, III Some birds are eagles. IV. All birds are rabbits. 1) None follows 2) Only II follows 3) Only III follows 4) Both II and III follow 5) None of these
Q.12.Statements: Some cameras are calculators . Some calculators are diaries. All notebooks are diaries. All diaries are computers. Conclusions: I Some notebooks are calculators. Il, Some calculators are computers . III All notebooks are computers. IV. Some diaries are cameras . 1) None follows 2) Only II follows 3) Only III follows 4) Both II and III follow 5) None of these
Q.13.Statements: All planets are stars. All stars are asteroids. All asteroids are moons. Some moons are rocks. Conclusions: I All asteroids are planets. II All asteroids are stars. Ill, All moons are stars. IV. Some rocks are stars. 1)None follows 2)Only I follows 3)Only II follows 4)Only either I or II follows 5)None of these
Q.14.Statements: Some bats are toys. Some toys are plastics. Some plastics are mirrors. No mirror is glass. Conclusions: ]I Some toys are mirrors. Il, Some plastics are glasses. Ill, Some bats are mirrors. IV. No glass is plastic. 1)Only III follows 2)Only either II or IV follows 3)Only either I or III fo Ilows 4)Only either III or IV follows 5)None of these
Q.15.Statements: All graduates are advocates. Some advocates are judges. All judges are lawyers. Some lawyers are doctors. Conclusions: I Some doctors are advocates. II All graduates are judges. IlI Some doctors are graduates. IV. Some lawyers are advocates. 1) None follows 2) Only I follows 3) Only II follows 4) Either III or IV follows 5) None of these Directions (Q. 16-20): Study the following information carefully to answer these questions.
P, Q, R, S, T, U, V and Ware sitting around a circular table, facing the centre. P sits third to the right of W and third to the left of Q. S sits second to the right of T. V sits second to the left of R. T is not the neighbour of Q while U is neither a neighbour of T nor of W. Q.16.Who sits second to the left of V? 1)R 2)P 3)U 4)T 5) None ofthese Q.17.Who sits between U and P? 1) S 2)R 3)V 4)Q 5) None of these Q.18.Starting from P's position, ifall the eight are arranged in alphabetical order in clockwise direction, the seating position of how many members (excluding P) would not change? 1) None 2) One 3)Two 4) Three 5) Four Q.19.Which of the following pairs has only one person sitting between them, if the counting is done in the clockwise direction? 1)T, V 2)V,Q 3)W, P 4) R, P 5) None of these Q.20.Four of the following are alike in a certain way based on their positions in the seating arrangement and so form a group. Which is the one that does not belong to that group? 1)W,T 2)P,U 3)S,Q 4)R,P 5) P, Q
Directions (Q. 21-25): In each ofthese questions a group ofletters is given followed by four combinations of number! symbol numbered 1),2),3) & 4). Letters are to be coded as per the scheme and conditions given below. You have to find out the serial number of the combination which represents the letter group. The serial number of that combination is your answer. If none of the combinations is correct, your answer IS 5), ie 'None of these'.
Letters : E Q B K N P LIT C S F H W A Digit / Symbol Code :5*$2©#49@6 Conditions: (i)If the first letter is a consonant and the last a vowel, both are to be coded as the code for the vowel. (ii) If the first letter is a vowel and the last a consonant, the codes for the two arc to be interchanged. (iii) If both the first and the last letters are consonants, both are to be coded as '5'. (iv) If there are more than two vowels in the group of letters, all vowels are to be coded as '£'.
Q.21.KAWIPL 1)2379#4 2)5379#5 3)4379#2 4)2379#2 5) None of these
Q.22.IQCPWF 1)9*6#78 2)9*6#79 3)8*6#75 4)8*6#79 5) None ofthese
Q.23.TCKAPE 1)@623#@ 2)@623#5 3)5623#5 4)5623#@ 5) None of these
Q.24.IKBQFA 1)92$8*3 2)923$*8 3)92*83$ 4)£2$8*£ 5) None of these
Q.25.lBTNAE I) £$@©££ 2) $9@©35 3)$@9©35 4) £©$©££ 5) None of these

Moral policing on the rise

The manner in which some activists of the Hindu hardliner group called the Sri Rama Sene barged into a pub in Mangalore recently and thrashed revellers, including girls, is highly reprehensible. The self-appointed moral police chased many girls in the pub, and mercilessly beat and molested them. Strangely, the activists have justified their criminal anion, claiming that they had received complaints from the people that the pub users had been violating traditional Indian norms.
Clearly, the Sene activists have no right to interfere into the freedom and independence of young boys and girls. The B J P government headed by BS Yeddyurappa has responded to the outrage belatedly. About 27 activists were arrested after two days of the inciden t. Worse, Ram Sene chiefPramod Muthalik has been arrested not for the pub attack but for a different offence - creating communal disharmony in Davanagere on January 11.
How will these hooligans be punished if the government tries to protect them? The law and order in Karnataka has been vitiated ever since the BJP came to power. The saffron outfits appear to have no fear of the law. The government's delayed response to the Mangalore outrage is a shocking repeat of its earlier inaction when the Hindurva extremists torched Karnataka's churches and prayer halls a few months ago. Such incidents have been occurring with sickening regularity. Recently, the activists of the Karnataka Rakshana Vedike stormed a private party on Bangalore's outskirts. Earlier, Karnataka Yuva Vedike activists went on the rampage at a leading hotel's pub in Bangalore.
Unfortunately, though pseudo­vigilante outfits are proliferating and acting with impunity in the BJP-ruled state, the government has been found reluctant to tackle them. The BJP can restore law and order only if it gets rid of the lumpen elements in the party and checks its outfits from taking the law into their own hands. It needs no new laws to deal with hooligans. The existing laws are enough to deal with them. What is needed is the will to crack down on some of the Parivar's elements who are out to disturb peace in the country on one pretext or another. The rule of law in Karnataka is under serious threat and the BJP government would do well to remember that it cannot afford to be seen on the side of the hoodlums even if they are motivated by the ideology of its liking.

R Venkataraman passes away

Whichever way one looks at it, Ramaswami Venkataraman rates among the better presidents that the country has had. His death recently at the age of 98 marks a break with the past. The values that he imbibed during the Gandhi-Nehru era remained with him all his life and he was acknowledged as a stickler for rules. He had been associated in various capacities with ail the country's prime ministers from Jawaharlal Nehru to Manmohan Singh. But by the time he became the country's eighth president in 1987, there had been considerable erosion in values in public life. The coalition era had also dawned, which he personally disproved of. But it goes to his credit that he gave sage advice to all the prime ministers - Rajiv Gandhi, VP Singh, Chandra Shekhar and PV Narasimha Rao. To that extent he was a copybook President.
During his stint from 1987 to 1992 that coincided with period of political instability that saw him work with four prime ministers, Venkataraman drew upon his deep knowledge of the Constitution and parliamentary procedures and precedents. Not given to presidential overreach, he was a stickler for rules, avoided needless controversies, and gave the presidency a quiet dignity and stateliness. At no time did he stretch the limits of presidential discretion, always taking care not to entertain appeals over the head of the political government.
Indeed, Venkataraman, who saw the British monarch as the model for the Indian president, argued that it was safer to go by the British precedent of accepting the recommendation of the prime minister on dissolution of the House rather than rely on erudite and eminent textbook writers. In 1989, when the general election threw up a hung Lok Sabha, Venkataraman decided to give the first opportunity to form a government to the leader of the single largest party, rather than take up the exercise of assessing the strength of any post­election combination of parties. Again, a rule that would minimise the role of presidential discretion applied.
But the pulls and pressures of coalition politics were taking their toll on the country, and as a remedy he floated the idea of a national government. Since it did not suit the conflicting ambitions of some politicians, it could never get off the ground. During his presidential years, which he later recounted in a book of that name, he had to bring all his administrative acumen and sense offair play into operation while deciding on a tricky situation created by the Sri Lankan crisis, the Bofors gun deal, the assassination ofRajiv Gandhi, the stocks scam, and the Defamation Bill.
He had left his mark on the national scene earlier also, be it in his capacity as the vice-president or while holding important portfolios such as industry, finance and defence. He also had a major role to play in the industrialisation of Tamil Nadu. It is this efficiency which brought him to Delhi and he made his mark as Planning Commission member and president of the United Nations Administrative Tribunal. A lawyer by profession, he was an excellent speaker and impressed everyone during his three Lok Sabha terms. Even after demitting office he remained actively associated with various music associations and the institutions of Shankaracharyas. The regulated life that he led helped him remain active right till the ripe age of 98.