Mathematics for SSC CGL 2016: Practice Set One

Question No 01. The ratio of Speed of A and B is 3:4. B takes 12 minutes less time than A to cover same distance. If, the speed of A becomes twice, then how much time will be taken by A to cover same distance?

1. 18m
2. 24m
3. 36m
4. 48m

Question No 02. One train "A" departures from Patna at 05pm and arrives Varanasi to 06pm.Another train "B" departures from Varanasi at 05pm and arrives Patna at 06.30pm. Then, in which time will the trains meet together?

1. 5:25 pm
2. 5:36 pm
3. 5:30 pm
4. 5:48 pm

Question No 03. The profit to sold an article at Rs 1072 is 20% more than the loss of such article to sold at Rs 940. What is the CP of the article?

1. Rs 950
2. Rs 975
3. Rs 100
4. Rs 1025

Question No 04. If a number is divided by 117 then 23 is Remainder. If that number is divided by 19 then the remainder is?

1. 05
2. 06
3. 04
4. 08

Question No 05. Total 20 students are in a School and their average age is 16 year. If the age of teacher is added then their average age becomes 17 year. what is the age of the teacher?

1. 47 years
2. 37 years
3. 35 years
4. 40 years

Question No 06. There are 12 members in a committee, in which the age of two members is 40 and 42 years respectively. These two persons left the committee and two new members join the committee instead of these two members, for which the average age of committee increased by 03 years. What is the average age of newly joined two members of the committee?

1. 54 years
2. 60 years
3. 59 years
4. 64 years

Question No 07. There are 12 members in a committee, in which the age of two members is 40 and 42 years respectively. These two persons left the committee and two new members join the committee instead of these two members, for which the average age of committee increased by 03 years. What is the average age of newly joined two members of the committee.

1. 54 years
2. 60 years
3. 59 years
4. 64 years

Question No 08. 10 persons went to hottel, in which 09 persons spent Rs 25 per person for eating and the last person spent more  Rs 18 to the average expenditure of total persons. what is the total expenditure ?

1. Rs 270
2. Rs 300
3. Rs 250
4. Rs 268

Question No 09.  The ratio of side of a triangle is 3:4:5 and the area of the triangle is 324 sq m. find the perimeter of triangle?

1. 32 m
2. 36 m
3. 44 m
4. 50 m

Question No 10. A train crosses a pole in 12 Second. If the speed of train is 60 Km/h. What is the length of the train?

1. 250 m
2. 325 m
3. 400 m
4. 450 m

Question No 11. What is ratio of the speed of the clock hour hand and clock minute hand?

1. 12:1
2. 1:12
3. 6:1
4. 1:6

Question No 12. If every internal angle of a polygon is 144°. Then, how many sides of the polygon?

1. 08
2. 10
3. 06
4. 12

Question No 13. What is the distance between A(2,3) and B (4,1)?

1. 2√3
2. 3√5
3. 4√5
4. None of these

Question No 14. If A (3,8), B(-4,2) and C (7,4) are the three vertices of a triangle ABC.  What is the area of the triangle ABC.

1. 28.5 Sq unit
2. 75 Sq unit
3. 57 Sq unit
4. 37.5 Sq unit

Question No 15. If tanα=a/b, then aSinα-bCosα/aSinα+bCosα?

1. a²-b²/a²+b²
2. a²+b²/a²-b²
3. a²-b²
4. None of these

Question No 16. If Sinα=1/3, then cosα. cosecα+tanα.secα.

1. 15√3+3/2
2. 16√2+3/8
3. 8√3+5
4. 12√3+2/8

Question No 17. 9cosA+40 SinA=41, Then CosA=?

1. 9/41
2. 41/9
3. 36/8
4. 8/35

Question No 18. A vehicle takes 06 round per second. If the diameter of wheel of vehicle is 77 cm. Then, find the speed of the Vehicle?

1. 47.7 km/h
2. 52.3 km/h
3. 53.3 km/h
4. None of these

Question No 19. If the diameter of every wheel of a car is 80 cm. If the speed of the car is 66 km/h. Then, how many round will be taken by every wheel of car in 10 minutes?

1. 4375 rounds
2. 4420 rounds
3. 4500 rounds
4. 4559 rounds

Question No 20.  The ratio of Volume of two spheres is 8:1. What is the ratio of its radius?

1. 1:8
2. 2:1
3. 1:2
4. 27:1

Question No 21.  If the two vertices of a triangle are (3,-5) and (-7,4). If Centroid of the triangle is (2,-1). Find out the third vertex of triangle?

1. (5,-2)
2. (10,-2)
3. (-7,2)
4. None of these

Question No 22. What is the value of sin 10°+ sin 20°+sin 30° +-----------+sin 360°

1. 0
2. 1
3. 2
4. -1

Question No 23. A polygon has 35 diagonal. How many sides of the polygon?

1. 10
2. 12
3. 08
4. 06

Question No 24. If A is acute angle of triangle and tanA +cot A =2 . What is the value of tan²A+cot²A?

1. 1
2. 2
3. 3
4. 0

Question No 25. John goes 12m North and then  05 m in  west direction. Hence, How many distance covered by john from initial point?

1. 15 m
2. 13 m
3. 14 m
4. 17 m

                                                     
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