Logical Reasoning. 2. A cube and its net is given below. Identify the letter on the top of the cube.

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1 1. Find the missing figure in the given pattern. Logical Reasoning (b) 2. A cube and its net is given below. Identify the letter on the top of the cube. S (b) T U R 3. If Armaan is facing South-east of P after turning 135 clockwise, then he was facing at first. North (b) North-west West North-east

2 4. If the figures having some characters given below follow the same rule, then find the missing number from the options (b) Arrange the given below words in the order as in a dictionary. (i) Mercury (ii) Showroom (iii) Rice (iv) (iv) Petrol (v) Oranges (i), (v), (iv), (ii), (iii) (b) (i), (iv), (v), (iii), (ii) (i), (v), (iv), (iii), (ii) (ii), (iii), (iv), (v), (i) 6. Select the figure from the options which is not exactly embedded as one of the part in the given figure. (b)

3 7. Which of the following is the correct mirror image of Figure (X), if the mirror is placed vertically to the left? (b)

8. Count the number of triangles in the given figure. 22 (b) 20 19 21 9. Which of the following options best depicts the given Venn diagram?

4 8. Count the number of triangles in the given figure. 22 (b) Which of the following options best depicts the given Venn diagram? Plants, Animals, Flowers (b) Pencil, Eraser, Pen Toy cars, Toys, Plastic objects Basketball players, Females, Sportsman 10. Select the pair which satisfies the same placement of condition of dots. PQ (b) QR PR Can't be determined 11. Study the given arrangement and answer the question that follows: If the symbols and numbers are interchanged serially as they appear in the arrangement such as with 2, * with with 3 and so on, then which element will be the 17 th element to the right of the 20 th element from the right end in the new arrangement? 8 (b) $ 4 #

5 12. If ' ' stands for ' ', ' ' stands for ' ',' ' stands for ' ', then value of P is P 15 (b) Rahul told Anand, "Yesterday I defeated the only brother of the daughter of my grandmother." Whom did Rahul defeat? Son (b) Father Brother Father-in-law 14. P, Q, R, S, T, V and W are sitting around a circle facing at the centre. V is second to the left of P and second to the right of W. T is third to the right of Q and is not an immediate neighbor of V. S is third to the right of R. In which of the following groups is the last person sitting between the first and the second persons? RPQ (b) TWS QPR PTR 15. A piece of paper is folded in such a manner as shown and punched. Select the unfolded form of piece of paper. (b)

6 Mathematical Reasoning 16. Priya earned Rs in a month. The given graph shows the amount of money saved by Priya in five months. What was the amount of money she spend in five months? Rs (b) Rs Rs Rs Select the correct match. Figure Fraction of unshaped part (b)

7 18. Which of the following number line represents 1 4? (b) 19. The value of (b) /5 1/5 4 4? 20. Select the INCORRECT step in simplification of 2 x1 32x 2 Step-1: 2x 2 6x 6 (open brackets) Step-2: 6x 2x 2 6 (combining like terms) Step-3: 4x 8 Step-4: x 2 (multiplying by 4 both sides) Step-2 (b) Step-4 Step-3 Step-1

8 21. Find the area of square PQRS. 19 sq. units (b) 36 sq. units 16 sq. units 25 sq. units 22. Which of the following options is INCORRECT? 1 3 (b) In two triangles PQR and LMN, PQ = QR, P M and QR = LN, then which of the following is true? Triangles are congruent only (b) Triangles are isosceles only Triangles are both congruent and isosceles None of these 24. The mean of three numbers is 40. All the three numbers are different natural numbers. If lowest is 19, what could be highest possible number of remaining two numbers? 81 (b)

9 25. Study the below statements carefully and answer the question given below. (i) The Successor of 0 52 is 1 52 (ii) Integers are closed under division (iii) (iv) 2 9 is less than 9 2. Which of the following statements is/are correct? Only (i) (b) Both (i) and (iv) Only (iv) Both (i) and (iii). 26. The three scales below are perfectly balanced if respectively? 3. What are the values of and * 4, 7 (b) 6, 3 7, 4 3, Mathematics textbook for Class VII has 320 pages. The chapter 'Symmetry' runs from page 261 to page 272. The ratio of the number of pages of this chapter to the total number of pages of the book is. 11 : 320 (b) 3 : 40 3 : : 320

10 28. In the given figure, all triangles are equilateral and PQ = 12 units. Other triangles have been formed by taking the mid points of the sides. What is the perimeter of the figure? 62.3 units (b) 64.5 units 65.8 units 67.5 units 29. The number of toffees in 30 gift packs are given as follows: 5, 6, 4, 5, 3, 4, 4, 2, 5, 4, 1, 2, 11, 9, 2, 5, 4, 8, 7, 6, 5, 1, 2, 5, 7, 8, 1, 9, 7, 8 Find the average number of toffees in gift packs. 4 (b) Find the value of (b) A man travelled two fifth of his journey by train, one third by bus, one-fourth by car and the remaining 3 km on foot. What is the length of his journey travelled by train? 75 km (b) 72 km 80 km 85 km

11 32. In a school of 100 students, only 2 out of 5 students can participate in a quiz. What is the percentage of students that participate in the quiz? 20 % (b) 40 % 50 % 30 % 33. Choose the correct option for PQR. PQ QR PR (b) PQ QR PR PQ QR PR PQ PR QR 34. The choices of the fruits of 42 students in a class are as follows: A, O, B, M, A, G, B, G, A, G, B, M, A, G, M, A, B, G, M, B, A, O, M, O, G, B, O, M, G, A, A, B, M, O, M, G, B, A, M, O, M, O, where A, B, G, M and O stands for Apple, Banana, Grapes, Mango and Orange respectively. Which two fruits are liked by an equal number of students? A and M (b) M and B B and O B and G Evaluate: (b)

12 Everyday Mathematics 36. A 5 kg bag of ice cost Rs. 8 per kg. Mr. Mohit bought Rs. 120 worth of rice. If he repacked the rice into smaller packets each weighing 15 (b) kg, how many packets would he get? 37. It takes 17 full specific type of trees to make one tonne of paper. If there are 221 such trees in a forest, then to save 6 tonnes (b) 8 tonnes 7 tonnes 4 tonnes 7 13 part of the forest, how much of paper we have to save? 38. Garima collected the data regarding weights of students of her class and prepared the following table: A student is to be selected randomly from her class for some competition. The probability of selection of the student is highest whose weight (in kg) is in the interval (b) In a test Abha gets twice the marks as that of Palak. Two times Abha's marks and three times Palak's marks make 280. The marks obtained by Abha are. 40 (b)

13 40. Supriya got Rs as her monthly salary and over-time. Her salary exceeds the overtime by Rs How much did she earn in a year (except overtime)? Rs (b) Rs Rs Rs The lawn in front of Latika's house is 12m 8m, whereas the lawn in front of Nisha's house m is 15 5 m required for both? 40 m (b) 80 m 60 m 90 m. A bamboo fencing is built around both the lawns. How much fencing is 42. Amit purchased 2 kg 200 g potatoes, 250 g rice, 15 kg 300 g wheat, 500 g apples and 2 kg 600 g tomatoes. Find the total weight of his purchases (in kilograms) kg (b) kg kg kg 43. Shivam purchased litres of juice on Monday and many litres of juice did he purchase together in two days? litres litres of juice on Tuesday. How (b) litres litres litres

14 44. Temperature of a place at 12:00 noon was 5C Temperature increased by 3C and decreased by 1C in the second hour. What was the temperature at 2:00 pm? 5C (b) 7C 8C 6C in first hour 45. In a colony of 100 blocks of flats numbering 1 to100, a school van stops at every sixth block while a school bus stops at every tenth block. On which stops will both of them stop if they start from the entrance of the colony? 30, 60, 90 (b) 20, 40, 80 30, 60, 80 40, 80, 100 Achievers Section 46. Sum of two numbers is 45. One is twice the other. (A) If smaller number is l, find the other number. (B) Find the equation formed. (C) Find the numbers. A B C 2l l2l 45 10, 35 (b) 2l l2l 45 15,30 l 2 l /2 45 l 2 l 15, l/ 2 l 0 25, Which of the following statements is correct? The reciprocal of a proper fraction is a proper fraction. (b) The product of two improper fractions is less than both the fractions. To multiply a decimal number by 1000, we move the decimal in the number to the right by three places. Product of their denominators Product of two fractions = Product of their numerators

48. There are four containers that are arranged in the ascending order of their heights. If the height of the smallest container given in the figure is expressed as 3 x 16.5cm.

15 48. There are four containers that are arranged in the ascending order of their heights. If the height of the smallest container given in the figure is expressed as 3 x 16.5cm. Find the 29 height of I, II and IV container cm cm cm (b) cm cm cm cm cm cm cm 86.5 cm cm 49. Fill in the blanks. A P is perfectly straight and extends forever in both directions. A Q is a perfectly flat surface that extends forever in all directions. A R or line segment, is the part of a line between two points. P Q R Line Plane Ray (b) Line Plane Segment Line Ray Plane Ray Segment Plane 50. Which of the following options hold with respect to given below statements? Statement 1: Value of Statement 2: If * is a multiply operation for integers pq, and p* q r p * q p * r Statement 1 is true and statement 2 is false. (b) Statement 1 is false and statement 2 is true.s Both statements 1 and 2 are true. Both statements 1 and 2 are false. r, then we have

NCERT. not to be republished SIMPLE EQUATIONS UNIT 4. (A) Main Concepts and Results

NCERT. not to be republished SIMPLE EQUATIONS UNIT 4. (A) Main Concepts and Results SIMPLE EQUATIONS (A) Main Concepts and Results The word variable means something that can vary i.e., change and constant means that does not vary. The value of a variable is not fixed. Variables are denoted