CTET Solved Paper MCQ - UTET April 2015 Paper2

96 A cuboid is of dimensions 5 cm × 2 cm × 5 cm. How many such cuboids may be joined to form a cube?

Given that, sides of a cuboid are 5cm, 2cm and 5cm.
Volume of cuboid = 5 × 2 × 5 = 50cm³
Let the side of the cube formed with minimum number of cuboids = x
Hence, volume of the cube = x³
Let, number of cuboids required = n
Hence, n × 50 = x³
n × 50 must be perfect cube i.e.
minimum value of n = 2 × 2 × 5 = 20
Volume of the cube formed = 20 × 50 = 1000 cm³
So, required cuboids = 20

97 Which of the following is a perfect number?

In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is the sum of its positive divisors excluding the number itself, so from the option, only 28 is the perfect number. i.e. 28 = 1 + 2 + 4 + 7 + 14

98 A box contains a dozen bulbs in which few are defective and remaining are good. Which of the following cannot be a ratio of defective bulbs to good bulbs?

If the ratio is 1 : 4, Then the number of defective bulbs = x and number of good bulbs = 4x
∴ x + 4x = 12
⇒ 5x = 12
which is not possible for any integral value of x.
So, 1 : 4 is not possible.

99 There are three sections A, B and C in Class X with 25, 40 and 35 students respectively. The average marks obtained by sections A, B and C are 70%, 65% and 50% respectively. The average marks of entire Class X is

100 Which evaluation involves gathering information about the students errors, reasons for those errors, depth of conceptual understanding, effective means of intervention ?

Diagnostic evaluation refers to the evaluation procedure aims to diagnose the nature and degree of learning difficulties faced by the learner. It involves gathering information about learners' errors, nature of errors, possible reasons of errors, level of conceptual understanding and possible interventions to rectify the errors.

CTET Solved Paper MCQ - UTET April 2015 Paper2

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