**Mathematics questions** are always asked in CDS, AFCAT or NDA exam. So here we are to provide you *Numerical Ability Questions*. These questions are from random topics. Kindly solve all the questions. If there is any query do tell us by dropping the comment below.

**Numerical Ability Questions for AFCAT, CDS, NDA**

**1.** If the discount of 10% is given on the marked price of a radio, the gain is 20% . If the discount is increased to 20% , the gain is …..

**2.** The value of the following is Cos24°+ cos55°+ cos125°+ cos 204°+ cos 300°

** 3**. O is the in centre of triangle PQR and angle QPR is 50°, then the measure of angle QOR is

** 4.**If two number are in the ratio 2:3 and the ratio becomes 3:4 when 8 is added to both the numbers , then the sum of the two numbers is

**5.** The area of triangle formed by the graphs of the equations x=4 , y=3, 3x+4y=12is

**6.** AB and CD are two parallel chords of a circle lying on the opposite side of the centre and the distance between them is 17 cm. The length of AB and CD are 10cm and 24 cm , respectively. The radius of the circle is

**7.** If A,B,C can complete a work in 6 days. If A can work twice faster than B and thrice faster than C, then the number of days C alone can complete the work is

**8.** A shopkeeper allows a of discount of 10% on the marked price of a camera. Marked price of the camera , which costs him 600 , to make a profit of 20% should be

**9.** Two alloys contain tin and iron in the ratio of 1:2 and 2:3 . If the two alloys are mixed in the proportion of 3:4 respectively( by weight) , the ratio of tin and iron in the newly formed alloy is

**10.** AC is transverse common tangent to two circles with centres P and Q and radii 6cm and 3 cm at the point A and C respectively. If AC cuts PQ at the point B and AB= 8cm, then the length of PQ is

**11.** The perimeter of one face of a cube is 20cm. Its volume will be

**12.** A farmer traveled a distance of 61 km in hours. He travelled partly on foot at the rate of 4km/h and partly on bicycle at the rate of 9km/h . The distance travelled on foot is

**13.** A ship after sailing 12km towards south from a particular place covered 5km more towards east. Then the straightway distance covered of the ship from that place is

**14.** Two poles of height 7m and 12m stand on a plane ground . If the distance between their feet is 12 m , the distance between their top will be

**15.** The measure of angle whose supplement is three times as large as its complement is

**16.** If selling price is doubled, the profit triples. Find the profit percent.

**17.** A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

**Answers are given below**

1. 20/3%

2. 1/2

3. 115°

4. 40

5. 6 sq units

6. 13

7. 22

8. 800

9. 13:22

10. 15cm

11. 125 cm cube

12. 16 km

13. 13km

14. 13 m

15. 45°

16. 8/15

17. 100

**Important questions below**

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