Quantitative Aptitude questions with answers, page 15

1,784 solved Quantitative Aptitude MCQs from SSC, RRB, banking and police exams. Open any question to try it and read the explanation. Want a timed test instead? Free Quantitative Aptitude practice sets.

Find the LCM of 35, 42, 60 and 80.
Find the sum of the first 30 terms of the arithmetic progression 21, 28, 35, ….
The runs scored by 5 batsmen in a practice match — four of the five values are 40, 44, 48, 52, and it is known that this fifth value is the LARGEST…
Find the missing term in the series: 81, 100, ?, 144, 169
The diameter of a solid sphere is 70 cm. Find its surface area. (Use π = 22/7)
A sum of ₹50,125 becomes ₹86,616 in 3 years at compound interest, compounded annually. What is the rate of interest per annum?
If a = (√35 + √33) / (√35 − √33), find the value of (a³ + 1/a³) + 3(a + 1/a).
The length of a rectangular field is 25% more than its breadth. If the perimeter of the field is 180 m, find its area.
Mahendra and Devansh run a manufacturing unit, having invested ₹40,000 and ₹30,000 respectively for the same period. As Mahendra manages the…
The difference between the value of a number increased by 10% and the value of the same number decreased by 25% is 231. What is the number?
In triangle ABC, the altitudes from B and C meet at the orthocentre H. If angle BHC = 140°, find angle A.
A bank's special savings scheme adds Rs 200 to a customer's balance for each of the first three months. Once the balance crosses Rs 900 (after the…
A bus covers 150 km at 60 km/hr, 120 km at 80 km/hr, 180 km at 90 km/hr without any stops. What is the average speed of the bus for the entire…
If 19 men working for 25 days earn Rs. 2000 in total wages, find the total wages earned by 12 men working for 7 days at the same rate.
3 years ago, the ratio of ages of A and B was 6:7. If B's age 3 years ago was 28 years, find A's present age.
During a two-part motorcycle ride, Irfan drives the motorcycle at 40 km/h for the first half of the total time taken and at 60 km/h for the…
The true discount on a certain sum due 3 years hence at 10% per annum is Rs. 150. Find the sum (the amount due).
From the top of a cliff 75 m high, the angle of depression of a boat is 30 degrees. Find the distance of the boat from the base of the cliff.
A trader wants to prepare 15 kg of a mixture worth ₹46/kg by mixing tea worth ₹42/kg with tea worth ₹52/kg. How much of the cheaper tea should he use?
In a 711 m race, Chetan gives Danish a head start of 162 m and still wins by 45 m. If Chetan completes the race in 56 seconds, how long does Danish…
The average weight of 8 persons decreases by 3 kg when a person is replaced by a new person weighing 98 kg. Find the weight of the person who left.
Find the sum of the first 16 terms of the arithmetic progression 22, 26, 30, ….
Three groups of farmers reported per-acre income as — Group X: 25 farmers, average Rs 20; Group Y: 15 farmers, average Rs 40; Group Z: 10 farmers…
The true discount on a bill is Rs. 4445 and the banker's gain is Rs. 255. Find the present worth of the bill.
Find the missing term in the series: 169, 196, 225, ?, 289
16 labourers, working 5 hours a day, complete 1/4 of the work of clearing a plot of debris in 10 days. If 12 labourers are to finish the remaining…
Find the simple interest on ₹15000 at 10% per annum for 3 years.
The cost of 9 badges is ₹70 more than the cost of 7 badges of the same kind. Find the cost of one badge.
A hollow cylindrical pipe has an external radius of 42 cm and an internal radius of 28 cm. If its height is 5 cm, find the volume of material used…
In a race of 700 m, A gives B a head start of 8% of the race distance. Find the head start distance (in meters).
A person invests Rs. 28000 in 4% stock at Rs. 126. Find his annual income.
The average of 5 numbers is 80. If 4 of the numbers are 58, 61, 62, 53, find the remaining number.
Find the value of 1³ + 2³ + 3³ + … + 8³.
The ages of two friends are in the ratio 5: 7. After 8 years the ratio becomes 3: 4. The present age of the younger friend is:
A cistern already has one-fourth of its capacity filled with water. Pipe A can fill the empty cistern in 12 hours, and a leak can empty a full…
Section X of a school has 25 students with an average height of 80 cm above a reference mark, and Section Y has 15 students with an average of 60 cm…
16 labourers working 4 hours a day can unload a truck of cement bags in 15 days. If 12 labourers are to unload the same truck of cement bags in 4…
The radius of a solid sphere is 7 cm. Find its surface area. (Use π = 22/7)
A carpenter needs two diagonal support beams of lengths 4√2 m and 3√3 m for a roof frame. Using √2 = 1.414 and √3 = 1.732, find the total length of…
A sum of ₹5,850 is divided among Anita, Arjun and Sanjay in the ratio 7 : 2 : 6. What is the share of Anita?
A furniture dealer offers a 24% discount on the marked price of a bookshelf and sells it for ₹2280. Find the marked price of the bookshelf.
If √1225 = 35, find the value of √12250000 + √12.25.
If sin θ = 1, find the value of θ (0° ≤ θ ≤ 90°).
23 kg of rice at Rs. 35/kg is mixed with 17 kg of rice at Rs. 55/kg. Find the average price per kg of the mixture.
A trader marks his goods 88% above cost price and then allows a discount of 45% on the marked price. Find his gain or loss percent.
Express 12/25 as a decimal.
A society management committee of 6 members is to be formed from 16 residents. If a particular resident, Mr. Iyer, must always be on the committee…
A school bell (electric bell that rings in a clock-controlled sequence) strikes 4 times in 9 seconds, taking an equal amount of time between any two…
A boat's speed in still water is 13 km/h and the stream flows at 4 km/h. Time taken to go 68 km downstream is:
Anil invests Rs 6,250 in a scheme paying 16% per annum for 2 years. Find the difference between the compound interest and the simple interest earned.
Two angles of a triangle are 63 degrees and 34 degrees. Find the third angle.
For a real number a, if a + 1/a = 6, determine a³ + 1/a³.
Ishan and Jyoti started a flour mill together. Ishan began with an investment of Rs 22,000 and, after 4 months, increased the investment to Rs…
In a three-digit gate-pass number, the hundred's digit exceeds the unit's digit by 5, and the sum of the hundred's and unit's digits is 9. The tens…
A survey found that the number of smartphone users in a town became 90 times the number of users recorded a decade earlier. Using log 2 = 0.3010 and…
In a right-angled triangle, the hypotenuse is 10 cm and one leg is 6 cm. Find the length of the other leg.
What comes next in the series? 1, 2, 6, 24, 120, 720, ?
A car's journey from X to Y is completed in three equal-distance stages. In the second stage, its speed is 60 km/h, and its speeds in the first and…
If 15 workers can produce 106 units, how many units can 40 workers produce (assuming direct proportion)?
If three successive discounts of 20%, 10% and 5% are given on an item, find the total (single equivalent) discount percentage.
If a product costs ₹800 and is sold at a 20% profit, what is the selling price?
Study the series: 4, 13, 41, 126, 382, 1151, ? Each term is obtained from the previous term by multiplying by 3 and then adding a number that itself…
Three bells ring at intervals of 9, 4, and 5 minutes respectively. If they all ring together at 12:00, after how many minutes will they ring…
A cyclist standing at a point on level ground observes the angle of elevation of the top of a building as 45°. After moving 30 m towards the base of…
Simplify: 7 × (8 + 11) − 4
On a 0.84 km circular track, two cyclists start together from the same point and ride in the same direction at 18 km/h and 10 km/h. Find the time…
Arvind invests ₹9,900 in a 9% stock of face value ₹100, available in the market at ₹110. Find his annual income from this investment.
The true discount on a bill is Rs. 1485 and the banker's gain is Rs. 115. Find the present worth of the bill.
24 workers, working 7 hours a day, can finish a job in 15 days. If 20 workers work 9 hours a day, in how many days will the job be finished?
The simple interest on a certain sum for 3 years at 10% per annum exceeds the simple interest on the same sum for 2 years at 12% per annum by ₹570…
A student obtained 205 marks in an exam and needed 19 more marks to pass. If the passing marks are 40% of the maximum marks, find the maximum marks…
Find the curved surface area of a solid hemisphere of radius 28 cm. (Use π = 22/7)
A man can row at 18 km/h in still water and the speed of the stream is 15 km/h. If he takes 8 hours to go to a certain place and return, find the…
A sum of ₹6,400 is divided among Priya, Deepak and Sanjay in the ratio 9 : 3 : 4. What is the share of Deepak?
Two trains start at the same time from stations A and B, 630 km apart, and travel towards each other at 47 km/h and 58 km/h respectively. Find the…
Simplify: √0.0169 + √1.69 + √169
Neha, a dealer, claims to sell at cost price but actually weighs only 735 g when he should weigh 1000 g. What is his gain percent?
The side of a square is increased by 10%. Find the percentage increase in its area.
How many 4-digit (odd) numbers can be formed using the digits 1, 2, 3, 6, 7, 8, 9 (repetition of digits allowed)?
A cylinder and a cone have the same base radius of 84 cm. The height of the cylinder is 14 cm. If both have equal volume, find the height of the cone.
Room A measures 14 m by 10 m and is to be floored at Rs 60 per square metre. Room B measures 18 m by 8 m and is to be floored at Rs 55 per square…
Ashok borrowed ₹15,000 for 2 years 8 months. The loan carries compound interest at 8% per annum (compounded annually) for the first 2 years; for the…
Two tangents PA and PB are drawn from an external point P to a circle with centre O (radius r), touching the circle at A and B. If ∠APB = 84°, find…
Vikas invests ₹17000 and Amit invests ₹36000 in a business. Out of a total profit of ₹10494, find Amit's share.
If x satisfies (log10 x)^2 - 3(log10 x) + 2 = 0, find the sum of all possible values of x.
In triangle ABC, AD is the altitude from A to BC, with D lying between B and C. Angle B = 47° and angle BAC = 101°. Find angle DAC.
The true discount on a certain sum due in 5 years at 4% per annum is Rs. 400. Find the sum due (amount).
During a festival, the number of candles lit on a temple's steps doubled every day. On the first four days, 3, 6, 12 and 24 candles were lit…
A car travels at 45 km/h. How far does it go in 2 hours?
A jogger runs at 14.4 km/h. How many seconds will he take to go once round a square field of side 90 m?
A painter can paint a house in 20 days, working alone at a constant daily rate. Since he completes 1/20 of the work each day, in how many days will…
A tower stands on one bank of a river. From a point P on the other bank, exactly opposite the tower, the angle of elevation of the top of the tower…
Find the value of 4.5 × 4 + 12 ÷ 1.5 of 2 − 2.4 + 0.6 of 7.5
A trader wants to prepare 15 kg of a mixture worth ₹86/kg by mixing tea worth ₹40/kg with tea worth ₹110/kg. How much of the cheaper tea should he…
Rays OA, OB, OC, OD, OE are drawn from a point O, in order around O. It is given that ∠AOB = ∠BOC = 55°, ∠COD = (x + 20)°, ∠DOE = (3x − 10)°, and…
The average of 5 numbers is 75. If 4 of the numbers are 53, 29, 19, 18, find the remaining number.
Find the LCM of 28, 35, 60 and 120.
Find the value of 1³ + 2³ + 3³ + … + 17³.
In a school of 50 students, the combined average score in an exam is 68 marks. Among them, 20 students (Group 1) have an average score of 50 marks…
7 litres of milk cost ₹140. How many litres of milk can be bought for ₹40?