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AFCAT-2017 – II Revision Test 17 Aug 2017-   Maths

1. The value of ? in the equation 365.089 - ? = 302.35?

2. Approximate value of 13.96² - 15.03² + 18.09²- 32.65 is________

3. If (x²-1) / (x+1) = 4, then what is the value of x?

4.7 is added to a number then the sum is multiplied by 5 and the product is divided by 9 and then 3 in subtracted from the quotient.  The remainder left is 12. What is the number?

5. In a 225 m long yard 26 trees are planted at equal distance.  1 Tree being at each end of yard. The distance between two consecutive tree is____ m.

6. The number whose square is equal to the difference of the squares of 40 and 32 is____

7. If a/b = ¾ and 8a +5b =22, then the value of ‘a’ is         

8. Amit’s salary is 2 ½ times more than his wife.  If the total salary of the couple is 14,000, then find out the difference between their salaries.                

9. The average of 50 numbers is 38.  If 2 numbers 45 and 55 are dropped from the list, the average of remaining will be___

10. The average of 8 men is increased by 4 years when one man of 30 years is replaced by a new man. The age of the new man is____

11. The ratio of speed of 3 cars are of 5 : 4 : 6. The ratio of their time taken to travel the same distance is

12. A sum of money is to be distributed among P.Q and R in the ratio of 6 : 19 : 7. If R gives Rs.200 from his share to Q, the ratio of P.Q and R becomes 3 : 10 : 3, what is the total sum?

13. An article costs Rs.50 presently. The rate of inflation is 300 %. The cost of article after 2 yrs ?

14. A loss of 19 % on a shirt gets converted into a profit of 17% when the SP is increased by Rs.162. The CP of the shirt is_________

15. A’s salary is 20 % lower than B’s Salary. B’s Salary is 15% lower than C’s salary. By what percentage C’s Salary is more than A’s Salary?

16.How much time reqd for an amount of Rs.450 to  become Rs.541, if the rate of interest is 4.5% SI.

17. A certain sum of money becomes 3 times in 20 years at SI. In how many years will the initial sum become double at the same rate of Simple Interest?

18. A boat travels upstream from B to A and downstream from A to B in 3 hours.  If the speed of the boat in still water is 9 km/h and the speed of the current is 3 km/h the distance between A and B is__

19. A and B can complete a work in 14 and 21 days.  They begin at the work, A left the work 3 days before its completion. The total days spent to complete the work its____  

20.  In a fort there was sufficient food for 200 men for 31 days. After 27 days, 120 men left the fort. For how many extra days will the rest of the food last for the remaining men?

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Answers:

1	153.456
2	264
3	5
4	20
5	9m ( 225/ 25 = 9 m)
6	24 ( (40)²- (32)² = ( a+b) ( a-b) (40+32) (40-32) = 72 x 8 - 576
7	3/2,
8	Rs.6000
9	37.5   Let the sum of two numbers be ‘nb”. , n/ 50 = 38 or n = 50 x 38 = 1900 Less ( 45 and 55) = 1900 – 100 = 1800 Now total numbers is 5-02 = 48. 1800 / 448 = 37.5 answer
10	62 Years Solution: Let the ave age of 8 men be x years, total of 8 = 8x. Age of 7 men +30 = 8x ---(p) Secondly  average age of 8 men  = ( x+4) years 7 men + new man   = 8x +32---( ii) Subtraction of both equations gives 7 men + new man   - ( 7 men -30) = 8x +32 -8x Of the age of the new man is 62 years
11	12 : 15 : 10
12	Rs.6400 Solution: Let each share be Rs.200 Then then present value of the ratio is P 6 : Q 19 : R 7, I.e P= 1200, Q= 3800 and R = 1200 R gives 200 to Q because total amount is Rs.6400 hence the division of 3:{10 :3  would be  ( 1200 + 4000 + 1200)
13.	Rs.800 50 x ( 100 + 300 / 100) x ( 100 + 300 ) 100 =  (400 / 100) x (400 /100) = 4 x 4 x5 0 = Rs.800
14	Rs. 450. Co = 100 After loss of 19% = 100 – 19 – 81 And gain of 17% = 100 + 17 = 117 Difference = 117 – 81 = 36 If 36 is the difference then CP is Rs. 100. If the Dif is Rs. 162, then CP = 100 x 162 / 35 = Rs.450
15	47.08 % (afcat I-2015)
16	4 Years
17	10
18	12 km ( afcat ii- 2015)
19	51/ 5 days
20	10 Days