Determinants Test

Question 1
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Read the following text and answer the following questions. On the basis of the same:
Two schools Oxford and Navdeep want to award their selected students on the values of sincerity, truthfulness and helpfulness. Oxford wants to award ₹x each, ₹y each and ₹z each for the three respective values to 3, 2 and 1 students respectively with a total award money of ₹1600. Navdeep wants to spend ₹2300 to award its 4, 1 and 3 students on the respective values (by giving the same amount to the three values as before). The total amount of the award for one prize on each is ₹900.
x + y + z = _______.

A
A. 800

B
B. 900

C
C. 1000

D
D. 1200

Question 2
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Read the following text and answer the following questions on the basis of the same:
Manjit wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m²
Which of the following matrix equation is represented by the given information

A

B

C

D

Question 3
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Read the following text and answer the following questions on the basis of the same:
The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.
x – 2y = _______.

A
A. z

B
B. -z

C
C. 2z

D
D. -2z

Question 4
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Read the following text and answer the following questions on the basis of the same:
Manjit wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m²
The value of y (breadth of rectangular field) is

A
A. 150 m

B
B. 200 m

C
C. 430 m

D
D. 350 m

Question 5
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Read the following text and answer the following questions on the basis of the same:
The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.
The value of 2x + 3y + 5z = _______.

A
A. 40

B
B. 43

C
C. 50

D
D. 53

Question 6
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Read the following text and answer the following questions. On the basis of the same:
Two schools Oxford and Navdeep want to award their selected students on the values of sincerity, truthfulness and helpfulness. Oxford wants to award ₹x each, ₹y each and ₹z each for the three respective values to 3, 2 and 1 students respectively with a total award money of ₹1600. Navdeep wants to spend ₹2300 to award its 4, 1 and 3 students on the respective values (by giving the same amount to the three values as before). The total amount of the award for one prize on each is ₹900.
The value of y is _______.

A
A. 200

B
B. 250

C
C. 300

D
D. 350

Question 7
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Read the following text and answer the following questions on the basis of the same:
Manjit wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m²
The value of x (length of rectangular field) is

A
A. 150 m

B
B. 400 m

C
C. 200 m

D
D. 320 m

Question 8
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Read the following text and answer the following questions. On the basis of the same:
Two schools Oxford and Navdeep want to award their selected students on the values of sincerity, truthfulness and helpfulness. Oxford wants to award ₹x each, ₹y each and ₹z each for the three respective values to 3, 2 and 1 students respectively with a total award money of ₹1600. Navdeep wants to spend ₹2300 to award its 4, 1 and 3 students on the respective values (by giving the same amount to the three values as before). The total amount of the award for one prize on each is ₹900.
4x + y + 3z = _______.

A
A. 1600

B
B. 2300

C
C. 900

D
D. 1200

Question 9
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Read the following text and answer the following questions on the basis of the same:
The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.
The value of x + 2y = _______.

A
A. 9

B
B. 10

C
C. 11

D
D. 12

Question 10
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Read the following text and answer the following questions. On the basis of the same:
Two schools Oxford and Navdeep want to award their selected students on the values of sincerity, truthfulness and helpfulness. Oxford wants to award ₹x each, ₹y each and ₹z each for the three respective values to 3, 2 and 1 students respectively with a total award money of ₹1600. Navdeep wants to spend ₹2300 to award its 4, 1 and 3 students on the respective values (by giving the same amount to the three values as before). The total amount of the award for one prize on each is ₹900.
y – x = _______.

A
A. 100

B
B. 200

C
C. 300

D
D. 400

Question 11
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Read the following text and answer the following questions on the basis of the same:
Manjit wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m²
The equations in terms of X and Y are

A
A. x – y = 50, 2x – y = 550

B
B. x – y = 50, 2x + y = 550

C
C. x + y = 50, 2x + y = 550

D
D. x + y = 50, 2x + y = 550

Question 12
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Read the following text and answer the following questions on the basis of the same:
The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.
x + y + z = _______.

A
A. 3

B
B. 5

C
C. 7

D
D. 12

Question 13
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Read the following text and answer the following questions on the basis of the same:
Manjit wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m²
How much is the area of rectangular field?

A
A. 60000 sq.m.

B
B. 30000 sq.m.

C
C. 30000 m

D
D. 3000 m

Question 14
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Read the following text and answer the following questions. On the basis of the same:
Two schools Oxford and Navdeep want to award their selected students on the values of sincerity, truthfulness and helpfulness. Oxford wants to award ₹x each, ₹y each and ₹z each for the three respective values to 3, 2 and 1 students respectively with a total award money of ₹1600. Navdeep wants to spend ₹2300 to award its 4, 1 and 3 students on the respective values (by giving the same amount to the three values as before). The total amount of the award for one prize on each is ₹900.
The value of 2x + 3y is _______.

A
A. 1000

B
B. 1100

C
C. 1200

D
D. 1300

Question 15
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Read the following text and answer the following questions on the basis of the same:
The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.
The value of z is _______.

A
A. 3

B
B. 4

C
C. 5

D
D. 6