Averages

A tank can be filled by pipe A in 4 hours and pipe B in 6 hours. At 8:00 a.m., pipe A was opened. At what time will the ...

Aman has certain number of notes of denomination ₹20 and ₹10 which amount to ₹390. If the numbers of notes of each kind ...

Simplify the expression: 6 × [28 ÷ 84 × {36 × 49 ÷ (6 × 7)}]....

Study the given bar-graph showing the number of engineers in Bhutan, Japan, Nepal, Australia, USA, and India: 55, 25, 65...

10 years ago, the age of Sunita was thrice the age of her daughter Tanya. 10 years hence, the age of Sunita will be twic...

Select the number that will come in the place of the question mark(?), if ‘+’ and ‘–‘ are interchanged and ‘x’ and ‘÷’ a...

Find the value of the expression ![image.png](https://res.cloudinary.com/aptidude/image/upload/v1747841426/aptidude_que...

Simplify the expression (sin^3 A - cos^3 A) / (sin A - cos A), where A is an acute angle....

Two pipes, A and B, can fill a tank in 10 minutes and 20 minutes, respectively. The pipe C can empty the tank in 30 minu...

Simplify the expression: 15.5 − [3 − {7 − (5 − (14.5 − 13.5))}]....

What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ ...

Which two signs should be interchanged to make the following equation correct? 247 ÷ 13 + 16 × 3 − 148 = 119...

The average of 12 numbers is 48. The average of the first 5 numbers is 45 and the average of the next 4 numbers is 52. I...

At present, A is thrice as old as B. C is 5 years elder than B. The sum of the ages of A, B, and C is 75 years. What is ...

Seven years ago, Prachi was four times as old as her daughter was at that time. Four years from now, Prachi will be two-...

Which two numbers (not digits) should be interchanged to make the given equation correct? 24 ÷ 3 – 4 × 2 + 6 × 5 + 12 ...

The average temperature of a city for the first sixteen days of January is 22°C, and the average temperature for the las...

Simplify the following: 21 − 4.9 ÷ 7 + 3.9 × 0.4 + 0.9...

What is the value of sec(t), if tan(t) = 1/3?...

If A is an acute angle, which of the following is equal to \{sin A}/{1 + cos A}?...

If (sec α + tan α) / (sec α − tan α) = 7/4, then find the value of cosec α....

If x, y and z are positive numbers and x + y + z = 1, then find the least value of 1/x + 1/y + 1/z....

A pipe can fill an overhead tank in 12 hours. But due to a leak at the bottom, it is filled in 18 hours. If the tank is ...

The given table shows the number of pages printed by four printers in three days. ![image.png](https://res.cloudinary....

Simplify the expression: 13 - [7 - (4 + 7) - {7 - (7 - 4 + 7)} + 14]...

What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ...

Find the average of the cubes of the first five natural numbers....

The average weight of three men is increased by 4 kg when one of them, whose weight is 100 kg, is replaced by another ma...

The average of 20 numbers is 32. If two numbers are 29 and 31, what is the average of the remaining numbers? (Correct up...

The average marks obtained by Saloni in four papers is 51, and in the fifth paper she gets 56 marks. Find her new averag...

Find the average of the following set of numbers: 693, 456, 876, 532, 934, 691, 596, 398, 682...

The average age of A, B and C is $20$ years. Two years ago the sum of the ages of A and B was $6$ more than that of C. F...

The average weight of the first thirteen persons among fourteen persons is 78 kg. The weight of the 14th person is 39 kg...

The average of 25, 46 and *y* is 11. What is the value of *y*?...

8 kg of maize costing ₹51 per kg is mixed with 9 kg of maize costing ₹68 per kg. What is the average price per kg of the...

The ratio of the ages of two friends is $4:3$ which will become $6:5$ after 4 years. What will be the sum of their ages ...

What is the average of the first 92 even numbers?...

Pipe A takes 4/5 of the time required by pipe B to fill an empty tank individually. When an outlet pipe C is also opened...

Amit's father is aged five times more than Amit. After 6 years, he would be three and a half times Amit's age. After fur...

If sin A - cos A = (√3 - √2) / 2, then find the value of sin A × cos A....

Two pipes A and B can fill a tank in 20 and 30 hours, respectively. Both pipes are opened to fill the tank, but when the...

Cindy bought 15 apples and 12 oranges and paid a sum of ₹447 for the purchase. Which of the statements given below is in...

A tap can fill a cistern in 10 minutes and another tap can empty it in 12 minutes. If both the taps are open, what is th...

Find the value of 3 sin 15° - 4 sin 315°....

Varun and Raju, working together, can complete a job in 40 hours whereas Varun alone can complete the same job in 50 hou...

The sum of two consecutive even numbers is 174. Find the smaller number....

Simplify the expression 626 × 2912 ÷ 8138....

A tank is filled in 45 minutes by two pipes, A and B. Pipe B fills the tank twice as fast as A. How much time (in minute...

If cot θ = √11, then find the value of (cosec²θ - sec²θ) / (cosec²θ + sec²θ)....

2 biscuits and 1 chocolate cost ₹69. 2 chocolates and 3 cups of coffee cost ₹127. 3 biscuits, 4 chocolates and 2 cups of...