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Page 1 of 14
Practice Test 01-Mathematical Aptitude
Domain: Total Questions: Section Details: Class X 15 Test Code: Total Time: TST2007AT204548630 90 min. Course: Admission Test Maximum Marks: 55.0
Section 1
Subjects: Topics: Total Questions: Class X Maths Linear Equation in One variable, Mensuration, Geometry, Trigonometry 10
Section 2
Subjects: Topics: Total Questions: Class X Maths Trigonometry, Mensuration 5
Section 1
Section Title: Total No. of Questions: Section 1 10
Subjects:Class X Maths 1.
A job was wrongly estimated to be completed in 10 days by x machines. By deploying 3 extra machines, the job was completed in 12 days. If only one additional machine was used, the no. of days more than that estimated it has taken to complete the job will be :
(A). (C).
(B). (D).
Correct Answer
C
Machine-days required = (x + 3).12 = 12x + 36 = (x + 1).d
Explanation
days.
Extra days =
(Marks: 3.0, Negative Marks : 0.0).
Vidyamandir Classes Admission test for IITJEE
Page 2 of 14
2.
Water is pouring into a tank at a constant rate. When the tank is full, 10 pumps of equal capacity empty the tank in 12 hrs, while 15 pumps of the same capacity empty the tank in 6 hrs. The time which 25 pumps of the same capacity take to empty the tank, if the tank is initially full, will be : (All the pipes pouring water into the tank are always open)
(A). (C).
3 hrs 4 hrs
(B). (D).
Correct Answer
A
If rate of filling the tank is 1/y per hr and each pump can empty it with a rate 1/x per hr then, . . . . .(i)
. . . . (ii)
Explanation
Solving (i) and (ii) we get, x = 60 and y = 12 If there are 25 pumps then of tank will be empty in 1hr
the entire tank will be empty in 3 hrs.
(Marks: 3.0, Negative Marks : 0.0).
3.
In the above figure, "CD " is the diameter, PQSR is a square and a of the square, if area of the biggest triangle is 36 sq. cm is :
is an isosceles triangle. The area
(A). (C).
12 sq. cm 24
Practice Test 01-Mathematical Aptitude
Domain: Total Questions: Section Details: Class X 15 Test Code: Total Time: TST2007AT204548630 90 min. Course: Admission Test Maximum Marks: 55.0
Section 1
Subjects: Topics: Total Questions: Class X Maths Linear Equation in One variable, Mensuration, Geometry, Trigonometry 10
Section 2
Subjects: Topics: Total Questions: Class X Maths Trigonometry, Mensuration 5
Section 1
Section Title: Total No. of Questions: Section 1 10
Subjects:Class X Maths 1.
A job was wrongly estimated to be completed in 10 days by x machines. By deploying 3 extra machines, the job was completed in 12 days. If only one additional machine was used, the no. of days more than that estimated it has taken to complete the job will be :
(A). (C).
(B). (D).
Correct Answer
C
Machine-days required = (x + 3).12 = 12x + 36 = (x + 1).d
Explanation
days.
Extra days =
(Marks: 3.0, Negative Marks : 0.0).
Vidyamandir Classes Admission test for IITJEE
Page 2 of 14
2.
Water is pouring into a tank at a constant rate. When the tank is full, 10 pumps of equal capacity empty the tank in 12 hrs, while 15 pumps of the same capacity empty the tank in 6 hrs. The time which 25 pumps of the same capacity take to empty the tank, if the tank is initially full, will be : (All the pipes pouring water into the tank are always open)
(A). (C).
3 hrs 4 hrs
(B). (D).
Correct Answer
A
If rate of filling the tank is 1/y per hr and each pump can empty it with a rate 1/x per hr then, . . . . .(i)
. . . . (ii)
Explanation
Solving (i) and (ii) we get, x = 60 and y = 12 If there are 25 pumps then of tank will be empty in 1hr
the entire tank will be empty in 3 hrs.
(Marks: 3.0, Negative Marks : 0.0).
3.
In the above figure, "CD " is the diameter, PQSR is a square and a of the square, if area of the biggest triangle is 36 sq. cm is :
is an isosceles triangle. The area
(A). (C).
12 sq. cm 24