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In this section each question has two matching lists. Choices for the correct combination of elements from List-I and List-II are given as options (A), (B), (C) and (D) out of which one is correct.
List-II gives value of x and y for pair of equations given in List-I, match them correctly.

	List-I		List-II
(P)	2x + y = 8, x + 6y = 15	(1)	(3, 4)
(Q)	5x + 3y = 35, 2x + 4y = 28	(2)	(1⁄14, 1⁄6)
(R)		(3)	(4, 5)
(S)	15x + 4y = 61, 4x + 15y = 72	(4)	(3, 2)

Case Study : On 25^th anniversary, Reena wants to hang two picture frames on the wall. So she decided that the bigger frame must have the area of 1575 sq. units and the smaller square frame must have the area of 625 sq. units.

Based on the above information, answer the following questions.

Which of the following is correct, if x and y are positive real numbers?

A √(x/y) = √(y/x)
B (√x + √y)² = x + 2√(xy) + y
C √x + √y = √(x + y)
D (√x - √y)(√x + √y) = x + y

Case study : During winter vacation, a teacher took all the students of class VII on educational trip to Agra and Fatehpur Sikri. They visited many monuments like Jahangir Mahal, Tajmahal, Red Fort and Buland Darwaja.

They clicked beautiful images of these monuments. All the students were very excited to know about its history and architecture of these monuments. Teacher explained them about the symmetry of these monuments which were clicked by them and asked following questions.
In how many figures, line of symmetry is visible?

A 1
B 2
C 3
D 4

Case Study : Raghav is preparing for his forthcoming assignment on triangles. For which, he is solving the worksheet given by his teacher and comes across the following questions. He finds it difficult to answer and so he decides to get them clear by his teacher in the school by the next day. Answer these questions to test your understanding.

Which of the following is possible in a ΔPQR?

A PQ – QR > PR
B PQ + QR < PR
C PQ – QR < PR
D PQ + PR < QR

Case Study : Rohit, Arjun, Seema, Palak and Roshni were playing with some chits. In every chit, some numbers are written. They picked the chits one by one.
Based on the above information, answer the following questions.

If Arjun picked 2341178, Palak picked 1348321, Rohit picked 2178342, Roshni picked 1839753 and Seema picked 2454371, then who picked the second greatest number and the second smallest number?

A Arjun, Roshni
B Seema Palak
C Arjun, Palak
D Rohit, Roshni

Case Study : Anny and John were two friends who lived in USA. Once they visited India. Anny knew about Indian System of Numeration but John didn't know. John asked some questions to Anny about Indian and International System of Numeration.

The questions are listed below. Answer them.
Indian System of Numeration?

A Eighteen crore twenty two lakh three
B One crore eighty two lakh twenty thousand three
C Eighteen crore two lakh twenty thousand three
D One crore eight lakh twenty two thousand three

Passage-III : An equation involving trigonometric ratios of an angle θ is a trigonometric identity. If the L.H.S. of the equation = R.H.S. of the equation for all values of θ such that
sin θ sin (60° - θ) sin (60° + θ) =
cos θ cos (60° - θ) cos (60° + θ) =
The value of sin 20° sin 40° sin 60° sin 80° is equal to

A
B
C
D

In this section each question has two matching lists. Choices for the correct combination of elements from List-I and List-II are given as options (A),(B), (C) and (D) out of which one is correct.
In ΔABC, right angled at B and , then match the List

List-I	List-II
(P)	(1)
(Q) sin C + cos C + sinB	(2) 0
(R) sec2 A - cosec2 A + 2	(3)
(S) ∠ A - ∠ C	(4) 2

Case Study : In a classroom activity, teacher taught students about how to form numbers and then teacher writes all the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 on the board and asks some questions to the students.

Based on the above information, answer the following questions.
What is the smallest 7-digit odd number formed by the digits 2, 3, 1, 6, and 5 using each digit atleast once?

A 1112365
B 1123561
C 1235611
D 1111111

Only one of the four options is correct. Write the correct one.
Number of integers lying between –1 and 1 is

A1
B2
C3
D0