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SSC CGL Tier 1 Mathematics 6

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This is the Mathematics section of SSC CGL tier 1, held on 17 July 2023 1st shift. Complete the test in 20 mins.

Practice well.

SSC Mathematics test 6

1 / 25

Simplify
2.5 X [144 ÷ 198 X {121 X 81 ÷ (11 X 9)}]

2 / 25

On a circular path of 693 m, Sujata and Anjali start walking from the same point but in the opposite directions at the speed of 2.85 km/h and 1.5 m/sec, respectively. When they will meet for the first time?

3 / 25

ΔABC∼ΔDEF and the perimeters of ΔABC and ΔDEF are 40 cm and 12 cm, respectively. If DE= 6cm, then AB is:

4 / 25

Find the value of sin² 25 + sin² 65.

5 / 25

A, B and C, working alone, can complete a job in 16, 24 and 36 days, respectively. In how many days
can they complete the job if they work together?

6 / 25

A policeman noticed a thief from 300 m. The thief started running and the policeman was chasing him. The thief and the policeman ran at the speeds of 8 km/h and 9 km/h, respectively. What was the distance between them after 3 minutes?

7 / 25

Find the smallest number that can be subtracted from 148109326 so that it becomes divisible by 8.

8 / 25

If the area of a circle is 616 cm2 and a chord XY = 10 cm, then find the perpendicular distance
from the center of the circle to the chord XY.

9 / 25

The volume of a cone with height equal to radius, and slant height 5 cm is:

10 / 25

A shopkeeper sells an item at a profit of 15% and uses a weight which is 20% less. Find his actual profit percentage.

11 / 25

Select the correct statement with respect to the below bar graph.

 

12 / 25

A person deposited Rs. 500 for 3 years, Rs.650 for 5 years, and Rs.1 ,250 for 7 years. He received a total
simple interest of Rs.1 ,620. The rate of interest per annum is:

13 / 25

The area of two triangles is in the ratio 5 : 3 and their heights are in the ratio 5 : 7. Find the ratio of their bases.

14 / 25

Simplify the following expression. (3x+5)² + (3x-5)²

15 / 25

If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers.

16 / 25

Rakshit, Ajay, and Satish are sanitation workers in a Municipal Corporation. Rakshit alone takes 20 hours to clean a drain while Ajay takes 12 hours when working alone to do the same. All three together take only 5 hours to clean the drain. In how many hours, can Satish complete the work alone?

17 / 25

15 men and 25 women can complete a piece of work in 9.6 days. If 16 women can complete the same
work in 27 days, find the number of days in which 16 men can complete the same work.

18 / 25

19 / 25

There are 3 members in a family. The average age of the father and mother is 40 years. The average
age of the father, mother and daughter is 30 years. Find the age (in years) of the daughter.

20 / 25

Select the INCORRECT formula from the following options.

21 / 25

If x% of 280 = 15% of 240 + 20% of 310, then the value of x is:

22 / 25

Simplify the given expression.
y + 2x - [ (y - (y - x + y) - (x + y) + y] - 2y

23 / 25

Industrial growth of different countries (in crores of Rs.)

How many countries' industrial growth is more than the average industrial growth?

24 / 25

A shopkeeper offers the following discount schemes for buyers on an article:
i. Two successive discounts of 15% each
ii. A discount of 25% followed by a discount of 5%
iii. Two successive discounts of 20% and 10%
iv. A discount of 30%
Under which scheme will the selling price be maximum?

25 / 25

If sin t + cos t = 4/5, then find (sin t )(cos t)

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