MAT (Stage-1) Mock Test

Result

MAT (Stage-1) Mock Test - 24

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Weekly Quiz Competition

Question 1
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The population of Visakhapatnam is 5,00,000 out of which 52% are males and the remaining are females. 60% of the males are literate and the literacy rate in the city is 70%. Find the number of educated females in the city and their percentage with respect to the total number of women.

A
1,94,000; 80.83%

B
1,84,000; 85.73%

C
1,74,000; 82.00%

D
1,64,000; 80.00%

Solution

Number of males = 0.52 × 5,00,000 = 2,60,000
Number of females = 0.48 × 5,00,000 = 2,40,000
Literacy rate = 70%
Number of educated males + Number of educated females = 0.7 × 5,00,000 = 3,50,000
Number of educated males = 0.60 × 2,60,000 = 1,56,000
Number of educated females = 3,50,000 - 1,56,000 = 1,94,000
Percentage of educated females = (1,94,000/2,40,000) × 100 = 80.83%
Question 2
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Read the information given below to answer the following question.

Seven poles A, B, C, D, E, F and G are put in such a way that the distance between the next two decreases by 1 m. The distance between the first two poles A and B is 10 m.

What is the distance between the first pole A and the last pole G?

A
40 m

B
45 m

C
49 m

D
None of these

Solution

Distance between A and G = 10 + 9 + 8 + 7 + 6 + 5 = 45 m
Question 3
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If in a certain coding language, + means -, - means×, × means ÷ and divide means +, then the value of 7 - 2 + 3 + 8 - 7 + 8 ÷ 3 + 7 × 1 is

A
-66

B
-71

C
-57

D
None of these

Solution

7 - 2 + 3 + 8 - 7 + 8 ÷ 3 + 7 × 1
After interchanging signs, we get
7 × 2 - 3 - 8 × 7 - 8 + 3 - 7 ÷ 1
= 14 - 3 - 56 - 8 + 3 - 7
= 14 - 3 - 56 - 5 - 7
= 11 - 56 - 5 - 7
= - 45 - 5 - 7
= - 50 - 7
= - 57
Question 4
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The equation 3 + 5 + 2 - 8 ÷ 7 + 6 - 5 + 8 = 43 is correct when

A
+ is swapped with × and ÷ with -

B
No sign is swapped

C
+ is swapped with - and ÷ with ×

D
+ is swapped with -

Solution

The value of
3 + 5 + 2 - 8 ÷ 7 + 6 - 5 + 8 = 43
If we swap each - with + and each ÷ with ×, we get
3 - 5 - 2 + 8 × 7 - 6 + 5 - 8
= 3 - 7 + 56 - 9 = 43
Question 5
1 / -0

The operators that need to be swapped to make the equation 6 ÷8 ×4 - 2 + 3 - 7 = 18 correct are

A
+ with ×,and - with ÷

B
+ with ÷, and × with -

C
÷ with ×,and - with +

D
No sign is swapped

Solution

The best way is to check the options.

If we swap each ÷ with × and each - with +, we get

6 ×8 ÷4 + 2 - 3 + 7

= 6 ×2 + 2 - 3 + 7 = 18