A to Z Exams

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

A certain sum of money is borrowed by a person at 8% simple interest for 4 years. If he has topay Rs. 7384 as interest, what is the total amount he has to pay?

(98x198)÷(48x148)=?

 If s varies directly as e and s/e = 6, then what is the value of s when e = 2.2?

The value of (log9 27+log8 32) is

If a man rows at the rate of 5 km ph in still water and his against the current is 3.5km ph, then The man’s rate along the current is:

In a 100m race A cover the distance in 36 seconds and B in 45 seconds. In this race A beats B by

If in a code, 52 – 36 = 97 and 46 – 78 = 1510, then how 53 – 62 can be encoded?

What will come in place of both the question marks(?) in the following question?  (?)¹·³/45 = 75/(?)¹·7

Successive discounts of 20% and 15% are equivalent to a single discount of

76% of (?) – (11)² = 525

The cost of carpeting a room 18 m long with a carpet 75 cm wide at Rs. 4.50 per meter is Rs. 810. The breadth of the room is :

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

From 7 men and 5 ladies a committee of 4 is to be formed. If Mrs. X is not willing to join the committee in which Mr.Y is a member whereas Mr. Y is willing to join the committee only if Mrs. Z is included, how many such committees in all are possible?

A man invests Rs. 3000 at a rate of 5% per annum. How much more should he investat a rate of 8%, so that he can earn a total of 6% per annum?

If r varies directly as n and r/m = 10, then what is the value of r when m = 2.2?

A thief steals a car at 2.30 p.m. and drives it at 60 kmph. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 kmph. When will he overtake the thief?

What will be the difference between simple and compound interest @ 10% per annum on a sum of Rs. 1000 after 4 years?

H.C.F. of two polynomials is a + 5 and their L.C.M. is (a + 5) (a + 4) (a – 1). If one of the polynomial is a2+ 4a – 5,then the other polynomial is

When processing flower-nectar into honeybees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 15% water?

The fourth proportional to 5, 8, 15 is:

A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?

If the ratio of sec w to cosec w is 1:7, then the ratio of tan w to cot w is

80% of p = 40% of Q and Q = X % P . Then the value of x is

The number of solutions of x2 - 5|x| + 6 = 0 is

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

Which of the following is equal to 3.14 x 106?

A boat covers a certain distance downstream in 1 hour, while it comes back in 1 ½ hours. If the speed of the stream be 3 kmph what is the speed of the boat in still water?

A contractor undertook to do a certain piece of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. The number of men originally employed were:

(3/7)*(4/9) *(2/7) * 3719 =?

The largest value of min (2 + x², 6 - 3x) when x > 0 is

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

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:

What percent of 7.2 kg is 18 gms ?

A boat goes 13 km upstream in 39 minutes. The speed of stream is 3 km/hr. The speed of boat in still water is:

The price of sugar having gone down by 10%, Sharad can buy 6.2 kg more for Rs. 279. The difference between the original and the reduced price (per kg) is:

How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

If 4x + 5y = 83 and 3x/2y = 21/22 how much is y – x

What will be the area of a semi-circle whose perimeter is 36cm?

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

Which family has the lowest average savings?

The present population of a country estimated to be 10 crores is expected to increase to 13.31 crores during the next three years. The uniform rate growth is :

15.5% of 850 + 24.8% of 650 = ?

I f 09/12/2001 happens to be Sunday, then 09/12/1971 would have been at

A rectangular tank measuring 5m x 4.5 m x 2.1 m is dug in the centre of the field measuring 13.5.m x 2.5. The earth dug out is spread evenly over the remaining portion of afield. How much is the level of the field raised ?

A can run 1 km in 3 min. 10 sec. and B cover the same distance in 3 min. 20 sec. By what distance can A beat B?

A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is

Find the compound interest in Rs.2400 for 2 1/2 years at 5 % p.a.,interest being compounded annually.

If log10 2=0.3010, then value of log10 25 is

The area of a rhombus is 150 cm2. The length of one of its diagonals is 10cm. The length of the other diagonal is:

How much water must be added to 60 litres of milk at 1 ½ litres for 20 so as to have a mixture worth 10 2/3 a litre? 

A 70 cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other. How many centimeters will the shorter piece be ?

If 20kg of rice cost Rs.200 less than 80 kgs of wheat. If a kg mixture of rice and wheat is in the proportion 2:3 and cost Rs.15, Find per kg cost of rice in Rs

If 2*3 =√13 and 3*4 =5, then the value 5*12 is:

45% of 160 +14% of 250 = ? - 23  

Manzoor had two equations containing three variables each. If they were x + 2y + 5z = 33, 2x+ 3y + z = 27, then which of the following choice will help him get a unique solution for x, y and z?

Two trains, one from Howrah to Patna and other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is

What is the minimum length of a string with which one can surround a triangle of area 36√3 cm?

If 2x + 3y -31, y – z - 4 and x + 2z – 11, then what is the value of x + y + z ?

The g.c.d. of x3 + x2 – x – 1 and x2 – 1 is

If X and Y are positive integers and X + Y = 1, what is the least value of (X+1/X)2 + (Y+1/Y)2 ?

Mr. Gangadhar, Mr. Ramesh and Mr. Shridhar together earned 19800. The ratio of earnings between Mr. Gangadhar and Mr. Ramesh 2:1 while that between Mr. Ramesh andMr. Shridhar is 3:2. How much did Mr. Ramesh earn?

If o = 4/3 and h = 6 then h/o + 4/o2 =

The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is:

The total number of integer pairs (x, y) satisfying the equation x + y = xy is

A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

If 3x – 4y + z = 7; 2x – z + 3y = 19; x + 2y + 2z = 24, then what is the value of z ?

A began a business with Rs. 85, 000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

How many 4 letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?

Vivek purchased 120 tables at a price of Rs 110 per table. He sold 30 tables at a profit of Rs 12 per table and 75 tables at a profit of Rs 14 per table. The remaining tables were sold at a loss of Rs 7 per table. What is the average profit per table?

The average height of 25 boys is 1.4 m. When 5 boys leave the group, then the average height increase by 0.15 m. What is the average height of the 5 boys who leave ?

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

A man has nine friends, four boys and five girls. In how many ways can he invite them, if there have to be exactly three girls in the invitees?

If 9c + 2d = 11 and z – 3d = 5, then what is the value of g?

Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after 6 months investing an amount equal to that of Q's. At the end of the year, 20% profit was earned which was equal to Rs. 98,000. What was the amount invested by R?

The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?

In a class, there are 100 students and among them 40 are girls. What is the ratio of the number of boys to the number of girls?

If Rs. 782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4 then the first part is:

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

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

In a partnership, A invests 1/6 of the capital for 1/6 of the time B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for whole time find A’s share of the total profit of 2,300  

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 ( p - q) 2 = ( x – y ) 2, then x =

√(12X 148÷8+21-74)= ?  

Rajesh walks to and fro to a shopping mall. He spends 30 minutes shopping. If he walks at speed of 10 km an hour, he returns to home at 19.00 hours. If he walks at 15 km an hour, he returns to home at 18.30 hours. How fast must he walk in order to return at 18.15 hours?

A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage?

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?

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

If n(x) = x2 - 10x, then n(-10) =

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. what is B's contribution in the capital?

A person works on a project and completes 5/8 of the job in 10 days. At this rate, how many more days will he it take to finish the job?

5434+5782=? * 25 

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is

Find the area of the cyclic quadrilateral whose sides are 15,12,10 and 13 cms.

A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6565 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500 ?

If 3x – 5y = 5 and x/x + y = 5/7, then what is the value of x – y ?

How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand’s present age in years?

16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of groups B?