IBPS - Aptitude Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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   Time Left : 00 : 30    : 00

If a1=1 and an+1-3an+2 = 4n for every positive integer n, then a100 equals

  

  

  

  

If p and q are real numbers; p ≠  0, then the equation 3x – 5 + q = px + 1 has no solution, if

  

  

  

  

If a=b2-b,b34,then a2 -2a is always divisible by

  

  

  

  

One side of a parallelogram is 18 cm and its distance from the opposite side is 8 cm. The area of the parallelogram is:

  

  

  

  

If 8 men can reap 80 hectares 24 days, then how many hectares can 36 men reap in 30 days?

  

  

  

  

If x2-1/x+1=4,  x=?

  

  

  

  

What, according to the treasury secretary, was the only way out of the exchange problem?

  

  

  

  

The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trebled after 5 years, what will be the total interest at the end of the tenth year?

  

  

  

  

  

√7921 *51+374 = (?)3

  

  

  

  

  

A, B and C went to buy ration from a wholesale market. They had a combined sum of Rs 900. A spent 80%, B spent 70% and C spent 75%of their respective amounts. Now the ratio of amounts left with them is 4 : 9 : 10. Find the ratio of amounts they had in the beginning.

  

  

  

  

[148-{28-58}]≥(?)

  

  

  

  

  

What percentage of numbers from 1 to 70 has 1 or 9 in the unit's digit?

  

  

  

  

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

  

  

  

  

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

  

  

  

  

If x3+ ax2+bx +6 has (x – 2) as a factor and leaves a remainder 3 when divided by (x – 3), the value of a and b respectively are

  

  

  

  

A bus started its journey from Ramgarh and reached Devgarh in 44 minutes with its average speed of 50km/hour. If the average speed of the bus is increased by 5 km/hour, how much time will it take to cover the same distance?

  

  

  

  

  

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

  

  

  

  

[{√196-√64}*-2.5]=(?)  

  

  

  

  

  

A number when decreased by 14% of it, gives 215. What is the number?

  

  

  

  

Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3 : 5 ?

  

  

  

  

In how many of the given years was the production of Milk more than the average production of the given years?

  

  

  

  

A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is:

  

  

  

  

  

If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5 ?`

  

  

  

  

An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the sides are:

  

  

  

  

If f (x+(y/8), x-(y/8)) = xy, then f (m, n) + f (n, m) = 0

  

  

  

  

n4 − 20n2 + 4 = k where k is a prime number and n is an integer. How many such k exist?

  

  

  

  

  

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

  

  

  

  

The average of five consecutive numbers is n. If the next two numbers are also included, the average will :

  

  

  

  

The L.C.M. of 6x2 – 5x – 6 and 12x2 + 11x + 2 is

  

  

  

  

If 2p + 3q = 18 and 2p – q  =2, then 2p + q =?

  

  

  

  

If( 4x2 – 3y2) : (2x2 + 5y2)= 12 : 19, then (x : y) is:

  

  

  

  

IN how many years, Rs. 150 will produce the same interest @ 8% as Rs. 800 produce in 3 years@ 4(1/2)%?

  

  

  

  

A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was;

  

  

  

  

(16)²- 5³ + √169 = (?)²  

  

  

  

  

  

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced?

  

  

  

  

If  x1/3+y1/3+z1/3=0, then the values of (x+y+z)3 will be

  

  

  

  

Fi nd the next term in the series 123, 129, 141, 147, ______

  

  

  

  

If 2n – 1 + 2n + 1 = 320, then n is equal to:

  

  

  

  

A man can row at 5km ph in still water .if the velocity of current  is 1 km ph and it  Takes him 1   hours  to row to a place and come back ,how far is the place?

  

  

  

  

If 3x – 3x-1 – 18, then the value of xx is:

  

  

  

  

If x varies as y2 + 2 and is equal to 36 when y = 4, find x when y = 12.

  

  

  

  

What is the minimum value of x for which the expression x3 – 7x2 + 11x – 5 gives positive values

  

  

  

  

P , Q and R started a business by investing Rs 120000 , Rs 135000 & Rs 150000 respectively. Find the share of each, out of the annual profit of Rs 56700

  

  

  

  

What is 25% of 25% equal to?

  

  

  

  

If a2 = b4 = c8 = d16, then logd2 (abc)1/3

  

  

  

  

A tank of capacity 165 liters, has N taps, numbered from 1 to N fitted to it. At the start of the nth minute, where 1≤ n ≤ N, the tap numbered n, which fills the tank at the rate of n liters per mite, is opened. If it takes exactly N minutes to fill the tank in his manner , find N.

  

  

  

  

  

The fourth proportional to 5, 8, 15 is:

  

  

  

  

A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

  

  

  

  

What is the slope of the line given by the equation 2h – 8 = 7 – 2a?

  

  

  

  

  

A,B,C enter into a partenership investing Rs.35,000, Rs.45,000 and Rs.55,000 respectively.The respective shares of A,B,C in an annual profit of  Rs.40,500 are:

  

  

  

  

If ‘P’ denotes ‘multiplied by’ , ‘R’ denotes ‘added to’; ‘T’ denotes ‘subtracted from’ and ‘W’ denotes ‘divided  by ‘, then 64W4P8TR$=?

  

  

  

  

  

Find the number of triplets of real numbers (x, y, z) which satisfy (x + y)3 = z (y + z)3 = x (z + x)3 = y

  

  

  

  

  

If a, b and c are the sides of a triangle and a4 + b4 + 2a2b2 = c4, then the triangle is

  

  

  

  

If log 2=0.30103, the number of digits in 450 is

  

  

  

  

River is running at 3 kmph. It takes a man twice as long to row up as to row down the river. The rate of the main in still water is:

  

  

  

  

(0.04)? x (0.2)? ÷ (0.008)^2 =(0.2)?  

  

  

  

  

  

The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?

  

  

  

  

  

(6)² + (8)² + (2)² - (9)²=?

  

  

  

  

  

A rectangular plot 15 m x10 m, has a path of grass outside it. If the area of grassy pathway is 54 m2, find the width of the path.

  

  

  

  

  

What will be the area of a semi-circle of 14 metres diameter?

  

  

  

  

  

In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?

  

  

  

  

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

  

  

  

  

(A) All batsmen are bowlers.       (B) No bowler is a keeper. (C) Some bowlers are batsmen.   (D) Some keepers are bowlers. (E) All keepers are batsmen.        (F) Some batsmen are not keepers.

  

  

  

  

A bag contains 50p, 25p and 10p coins in the ratio 5 : 9 : 4 amounting to Rs.206. Find the number of coins of 10p?

  

  

  

  

In 1994, students seeking jobs in finance earned Rs. _____ more than those opting for software (in lakhs)

  

  

  

  

In how many different ways can the letter of the word ‘AVERGE’ be arranged so that the vowels always come together?

  

  

  

  

The value of 1001 + 11 of 13 is:

  

  

  

  

1/2 of 4/5 of 3/8 of 7450=?  

  

  

  

  

  

If A’s salary is 25% higher than B’s salary, how much per cent is B’s salary lower than A’s

  

  

  

  

The weights in kilograms of 10 students are 52, 45, 31, 35, 40, 55, 60, 38, 44, 36. If 44 is replaced by 46 and 40 is replaced by 35 then new median will be

  

  

  

  

Even after reducing the marked price of a transistor by Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs. 320, what percentage of profit would he have made if he had sold the transistor at the marked price?

  

  

  

  

  

The value of(1/3 log10 125- 2log10 4+log10 32) is

  

  

  

  

By selling an article for Rs. 100, a man gains Rs. 15. Then, his gain % is:

  

  

  

  

The area of a triangle is 21 sq. units. If two of its vertices lie on points (5, 3) and (–4, –3), then find the locus of the third vertex.

  

  

  

  

23 10 40 172 885 5346

  

  

  

  

  

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

  

  

  

  

a, b, c, d be real numbers in G.P. If u, v,w satisfy the equations u + 2v + 3w = 6; 4u + 5v + 6w = 12; 6u + 9v = 4 then roots of the equations (1/u + 1/v + 1/w)x2 + [(b − c)2 + (c − a)2 + (d − b)2]x + u + v + w = 0 and 20x2 + [10(a − d)2]x − 9 = 0 are

  

  

  

  

  

What is the percentage increase in expenditure from 1996 to 1998?

  

  

  

  

  

(98x198)÷(48x148)=?

  

  

  

  

  

76% of (?) – (11)² = 525

  

  

  

  

  

892.7 – 573.07 – 95.007 =?

  

  

  

  

The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

  

  

  

  

  

If a + b + c = 13, a2 + b2 + c2 = 69, then find ab + bc + ca.

  

  

  

  

The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80 after getting two successive discounts, the first being 10%. What was the second discount rate?

  

  

  

  

  

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

  

  

  

  

The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm. The radius of the square is

  

  

  

  

If (x + z) (x – 2y + z) = (x – z)2, where x, y and z are all real and distinct, then

  

  

  

  

If the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be:

  

  

  

  

If ( p - q) 2 = ( x – y ) 2, then x =

  

  

  

  

A circular park has a path of uniform width around it. The difference between outer and inner circumference of the circular path is 132m. Its width is:

  

  

  

  

One of the editors must work completely alone for the whole day in order to prevent confusion and disorder. If no other editor can afford to lose his available time, then the only possible editor privileged with working alone is

  

  

  

  

From a circular sheet of paper with a radius of 20 cm, four circles of radius 5cm each are cut out. What is the ratio of the uncut to the cut portion?

  

  

  

  

A and B are partner in a business. A contributes 1/4th of the capital for 15 months and B received 2/3 of the profit. For how long does B's money is used?

  

  

  

  

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is

  

  

  

  

Find the co-ordinates of the foot of the perpendicular from point (5,7) on the line whose equation is: x + 7y - 10 = 0.

  

  

  

  

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

  

  

  

  

A local delivery company has three packages to deliver to three different homes. if the packages are delivered at random to the three houses, how many ways are there for at least one house to get the wrong package?

  

  

  

  

74x 25-33x 45=?

  

  

  

  

  

A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

  

  

  

  

A car travelling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

  

  

  

  

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