A to Z Exams

In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to obtain a mixture worth Rs.16.50 per Kg?

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 sec. the speed of the sec train is

A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?

180% of 25501 + 50% of 28999 = ?

A train after travelling 30 km from X meets with an accident and proceeds at 3/4 of the former speed and reaches by 45 min. late. Had the accident happened 10 kms further one, it would have arrived 15 min sooner. Find the original speed and distance.

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

The average age of A and B is 20-years. If C were to replace A, the average would be 19 and if C were to replace B, the averge wouldbe21. What are the age ofA, Band C?

Which of the following fractions is less than 7/8 and greater than 1/3?

[log(a2/bc)+log(b2/ac)+log(c2/ab)] is equal to

2x x 81/5 = 21/5, then x is equal to:

Which five consecutive months have the lowest average cost per man-month under the new technique?

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

Jagtap purchases 30 kg of wheat at the rate of 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg.  He mixed the two and sold the mixture. Approximately at what price per kg should he sell the mixture to make 30 percent profit?

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?

At what coordinates does the graph of 4c+ 6 = d - 1 intersects the c axis?

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A theif steals a car at 1p.m. and drives it at 20km/hr. The theft is discovered at 2p.m. The owners sets of another car at 30 km/hr, he will overtake the thief at:

After successive discounts of 12% and 5% an article was sold for Rs. 209. What was the original price of the article?

If A : B = 5 : 7 and B: C = 6 : 11, then A : B : C is :

If a + b + c = 3, a2 + b2 + c2 = 9, a3 + b3 + c3 = 24 , Then find a4 + b4 + c4

(13)3+73/(13)2+72-? =20

How many students have got 60% or more marks in all the subjects?

A father with 8 children takes 3 children at a time to the zoological garden, as often as he can without taking the same 3 children together more than once. Then:

In a mile race Akshay can be given a start of 128 metres by Bhairav. If Bhairav can given Chinmay a start of 4 metres in a 100 metres dash, then who out of Akshay and Chinmay will win a race of one and half mile, and what will be the final lead given by the winner to the loser? (One mile is 1600 metres).

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

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?

The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?

(408 + 220+ 102) + (240-?-57) = 29.2

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is;

In a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy?

The coordinates of a point which divide the join of A (5, 5) and (8, 5) in the ratio 2 : 1 are

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

No bird is an animal. All birds are insects (I)No insect is animal (II)No animal is insect

Solve for real x: 6x2 + 5x - 6 ≥ 0

Complete the series 1, 3, 4, 13, 53, ____

If group C contains 8 questions and group B carries at least 20% of the total marks, which of the following best describes the number of questions in group B?

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:

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

548 567 624 719 852 1023?

[{√196-√64}*-2.5]=(?)  

Two boats, traveling at 5 and 10 kms per hour, head directly towards each other. They begin at a distance of 20 kms from each other. How far apart are they (in kms) one minute before they collide

A box contains 9 red toys, 7 green toys and 9 blue toys. Each ball is of a different size. The probability that the red ball being selected is the smallest red toy, is:

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?

(98x198)÷(48x148)=?

Of the four number, whose average is 60, the first is one-fourth of the sum of the last three. The first number is:

A man divides his property so that his son’s share to the wife’s and the wife’s share to his daughter are both in the ratio 3:1. If the daughter gets 10,000 less than the find the total worth property.  

The percentage profit earned by selling an articles for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

3 ? 14 55 274 1643

The sum of X and Y's age is 105. When X was Y's age, she was 1.5 times Y's age then what are their present ages?

What is 15 percent of Rs.34?

√571536/42 * ?=5850

A sum of Rs. 725 is lent in the brgining of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the ywar, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest

2.002 + 7.9 {2.8 – 6.3 (3.6 – 1.5) + 15.6} = ?

A fan is listed at Rs. 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price to Rs. 1104?

There are two examination rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is;

P beats Q by 5 seconds in a race of 1000m and Q beats R by 5 metres in a race of 100m. By how many seconds does P beats R in a race of 1000 m?

A shopkeeper sold a T.V. set for Rs.17,940 with a discount of 8% and earned a profit of 19.6%. What would have been the percentage of profit earned if no discount was offered?

In a house, there are dogs, cats and parrot in the ratio 3:7:5. If the number of cats was more than the number of dogs by a multiple of both 9 and 7, what is the minimum of pets in the house?

Let tan θ = tan 10 − tan 50 + tan 70 then θis ?( all angles in degress)

A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should be mixed from each of the containers so as to get 12 litres of milk such that the ratio of water of milk is 3:5?

The value of 1001 + 11 of 13 is:

A bag contains 21 toys numbered 1 to 21. A toy is drawn and then another toy is drawn without replacement. Find the probability that both toys will show even numbers.

The factors of x2 + xy − 2 xyz −2z are:

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

The ratio of actual spending on food in 2005 to that in 1980 is:

What will be the simple interest accured on a sum of Rs. 5,224 at a rate of 5 p.c.p.a. in 5 years?  

7 person can do a piece of work in 21 days. How many persons are required to do a piece of work in 3 days?

If √24 = 4.899, the value of √8/3 is

Given √5 = 2.2361, √3 = 1.7321, then 1/√5 - √3 is equal to;

9 examiners can examine a certain number of answer books in 12 days by working 5 hours a day. How many hours in a day should 4 examiners work to examine twice the number of answer books in 30 days?

Five-third of the smallest side of a right angled triangle is equal to its largest side. Also the length of the second largest side of triangle is 8 cm. What is the sum of the smallest and the largest sides of that triangle together?

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:

If 3a = 4b = 6c and a + b + c = 27√29, then √a2+b2+c2 is

There are two sections A and B of a class, consisting of 36 and 44 students’ respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.

If x2 + 1/x2 = 51 , then the value of x-1/x is

If 15 men and 10 boys can do in 1 day as much work as 12 men and 20 boys. How much should a man be paid a day if a boy is to get Rs.10 a day?

Simplify the expression (1+i)6+(1+i)4 .

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:

A trader gives 12% additional discount on the discounted price, after giving an initial discount of 20% on the labeled price of an item. The final sale price of the item is Rs.704. Find out the labeled price?

Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How many days will a woman take to do the job, if she works alone on it?

If Rs. 4,601 were distributed equally among 37 people, Rs. 13 was left out. How much amount did each person get? 

Ina mixture of milk and water the proportion of water by weight was 75 %. If in the 60gms mixture 15 gms., water was added, what would be the percentage of water in the new mixture?

Alcohol cost 3.50 per litre and kerosene oil cost 2.50 per litre. In what proportion these should be mixed so that the resulting mixture may be 2.75 per litre?

The compound interest on a certain amount for 2 years at the rate of 8 p.c.p.a. is Rs.312. What will be the simple interest on the same amount and at the same rate and same time?

The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. What is the time?

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

If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?

Find C.P when S.P =Rs 40.60, gain =16%

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?

If the area of a square increases by 69%, then the side of the square increases by

The cost of cultivating a square field at the rate of Rs. 135 per hectare is Rs. 1215. The cost of putting a fence around it at the rate of 75 paise per metre would be

The price of tea being increased by 20%, a man reduces his consumption by 20%. By how much percent will his expenses for tea be decreased?

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 shopkeeper purchases 10 kg of rice at 600 and sells at a loss as much the selling price of 2 kg of rice. Find the sale rate of rice/kg.

A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is

If pqr = 1, the value of the expression (1/(1 + p + q-1)) + (1/(1 + q + r-1)) + (1/(1 + r + p-1)) is equal to