###### Important Arithmetical reasoning and figural classification Questions with Answers For SSC GD :

1. Average marks obtained by 9 students in one row of a class is 45. One student with 35 marks exchanges his seat with a student securing 48 marks. What is the average marks of these 9 students of this row?

(1) 56.4

(2) 46.4

(3) 47.6

(4) 45.6

2. The average age of a cricket team is 27 years. Two players with 24 and 27 years of age are replaced by new players of 23 and 28 years of age. What is the average age of the team now?

(1) 27 years

(2) 26 years

(3) 24 years

(4) 28 years

3. The age of X is 2/3 rd that of Y. After 6 years X will be 46 years old. The present age of Y is….

(1) 40 years

(2) 56 years

(3) 60 years

(4) 100 years

4. The age of Shyam is 1/3 rd that of his mother. He is 2 years older than his sister. The age of his sister be 8 years, what is the age of his mother ?

(1) 25 years

(2) 60 years

(3) 48 years

(4) 30 years

5. Ramu is 48 years old. Robin is 6 years junior to Ramu and 14 years senior to Rohit. Ramu has two children – Neethu and Vinu. Youngest sister of Rohit is Krishna and she is 15 years junior to him. So what is the age of Krishna?

(1) 13

(2) 15

(3) 14

(4) 12

6. A, B, C, D, are four friends. Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.

(1) 20, 30, 40, 50

(2) 20, 25, 30, 35

(3) 30, 35, 40, 45

(4) 30, 40, 50, 60

7. The average age of 30 students is 15 years. If the teacher’s age is also included then the average age increases by 1 year. The age of the teacher is

(1) 56 years

(2) 46 years

(3) 35 years

(4) 45 years

8. Kamal is 5 times older than her sister Geeta, who is 2 years less than her brother Ram. If Ram is 8 years old, then what will be the age of Kamal ?

(1) 30 years

(2) 24 years

(3) 40 years

(4) 28 years

9. The difference between a mother’s age and the sum of her two daughters’ age is 6. The average age of two daughters is 22. What is the age of mother?

(1) 40

(2) 44

(3) 46

(4) 50

10. A was born 5 years before B, B is 4 years older than C and 3 years younger to D. If A is now 17 years old, how old is D ?

(1) 19 years

(2) 15 years

(3) 12 years

(4) 8 years

11. 50 men can dig 40 holes in 30 days. How long will 25 men take to dig 20 holes?

(1) 15 days

(2) 22½ days

(3) 30 days

(4) 45 days

12. If 324 × 150 = 54, 251 × 402 = 48 and 523 × 246 = 120 then 651 × 345 =?

(1) 120

(2) 85

(3) 144

(4) 60

13. Some equations are solved on the basis of certain system. Find out the correct answer for the unsolved equation on that basis. If

12 × 7 = 408 and 9 × 8 = 207 then 13 × 7 = ?

(1) 190

(2) 91

(3) 901

(4) 109

14. a = 11 (242) 121; b = 14 (392) 196 ; c = 13 (?) 169

(1) 182

(2) 338

(3) 2197

(4) 28224

15. 323 × 41 = 14323, 137 × 72 = 27731, 48 × 87 = 7884, 34 × 75 = ?

(1) 2550

(2) 5743

(3) 7534

(4) 4357

**Directions (16-17) :**

Some questions are solved on the basis of a certain system. On the same basis, find out the correct answer from amongst the four alternatives for the unsolved equation in each question.

16. 11 × 12 × 13 = 234, 24 × 23 × 35 = 658, 31 × 43 × 54 = ?

(1) 497

(2) 974

(3) 749

(4) 479

17. 16 (210) 14, 14 (156) 12, 12 (?) 10

(1) 110

(2) 100

(3) 120

(4) 90

**Directions (7-8) :**

Some questions are solved on the basis of certain pattern. On the same basis find out the correct answer for the unsolved equation.

18. A = 3(21) 247, B = 5 (–)407, C = 7(49)567

(1) 28

(2) 25

(3) 35

(4) 38

19. 7 × 5 × 4 = 57354, 8 × 7 × 3 = 78563,then 6 × 8 × 5 = ?

(1) 86585

(2) 86855

(3) 68485

(4) 86485

20. There are some boys and dogs at a place. If total number of heads is 7 and total number of legs is 20, how many boys and how many dogs are there ?

(1) 2 boys and 5 dogs

(2) 3 boys and 4 dogs

(3) 4 boys and 3 dogs

(4) 5 boys and 2 dogs

21. A family has a man, his wife, their 4 sons and their wives. The family of every son also have 3 sons and one daughter each. Find out the total number of male members.

(1) 1

(2) 12

(3) 4

(4) 17

22. Amar uses a Maruti Van and Anthony a Racing Car from Mumbai to Pune. Maruti Van has a speed of 120 km and the Racing Car of 210 km per hour. After driving for 12 minutes, what will be the difference of distance between the two?

(1) 20 km

(2) 18 km

(3) 15 km

(4) 16 km

23. The distance between two cities is 30 km. A man goes with 30 km speed per hour and returns with 20 km. speed per hour. What is his average speed?

(1) 25 km./hr

(2) 24 km./hr

(3) 10 km./hr

(4) 26 km./hr

24. 8 km is equal to 5 miles. The fraction useful in converting kilometres to miles is

(1) 3/5

(2) 5/3

(3) 5/8

(4) 8/5

25. In a survey, 70% of those surveyed owned a car and 75% of those surveyed owned a TV. If 55% owned both a car and a TV, what percent of those surveyed did not own either a car or a TV?

(1) 25%

(2) 20%

(3) 10%

(4) 5%

26. The perimeter and area of a rectangle are 32 and 60 respectively. What is its breadth?

(1) 10

(2) 16

(3) 6

(4) 30

27. 24- carat gold is pure gold 18- carat gold is 3/4 gold. 20-carat gold is 5/6 gold. The ratio to pure gold in 18 carat gold to 20 carat gold is

(1) 5 : 8

(2) 10 : 9

(3) 15 : 24

(4) 9 : 10

28. A single discount equivalent to a discount series of 30%, 20% and 10% is

(1) 49.6 %

(2) 50.4 %

(3) 53.0 %

(4) 47.0 %

29. Six toys are quite identical to look at, but only one of them is less in weight. It is to be identified using the balance minimum number of times. What is that minimum number of using the balance ?

(1) Once

(2) 2 times

(3) 3 times

(4) More than 3 times

30. Four friends A, B, C, D, contribute money to a pool. A contributes double the amount C contributes and B contributes half the amount A contributes. D contributes half the amount of B. Which two are contributing equal amount?

(1) B, D

(2) A, D

(3) A, B

(4) B, C