Q 11 :    

LCM of the given number 'x' and 'y' where y is a multiple of 'x' is given by

  • x

     

  • y

     

  • xy

     

  • xy

     

(2)

 



Q 12 :    

The largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is

  • 17

     

  • 11

     

  • 34

     

  • 45

     

(1)

Explanation: Algorithm 398 - 7 = 391; 436 - 11 = 425; 542 - 15 = 527

 HCF of 391, 425, 527 = 17



Q 13 :    

There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students

  • 52

     

  • 56

     

  • 48

     

  • 63

     

(1)

Explanation: HCF of 312, 260, 156 = 52

 



Q 14 :    

There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet?

  • 36 minutes

     

  • 18 minutes

     

  • 6 minutes

     

  • They will not meet

     

(1)

Explanation: LCM of 18 and 12 = 36

 



Q 15 :    

Express 98 as a product of its primes

  • 22 × 7

     

  • 22 × 72

     

  • 2 × 72

     

  • 23 × 7

     

(3)

 



Q 16 :    

Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.

  • 98 kg

     

  • 290 kg

     

  • 200 kg

     

  • 350 kg

     

98 kg

Explanation: HCF of 490, 588, 882 = 98 kg

 



Q 17 :    

m2 - 1 is divisible by 8, if m is

  • An even integer

     

  • An odd integer

     

  • A natural number

     

  • A whole number

     

(2)

 



Q 18 :    

The product of a non-zero rational and an irrational number is

  • Always rational

     

  • Rational or Irrational

     

  • Alaways irrational

     

  • Zero

     

(3)

 



Q 19 :    

The largest number that which divides 60 and 75, leaving remainders 8 and 10 respectively, is

  • 260

     

  • 75

     

  • 65

     

  • 13

     

(4)

Explanation: Subtract the remainder 8 and 10 from 60 and 75.

 



Q 20 :    

The last number that is divisible by all the numbers from 1 to 5 (both inclusive) is

  • 5

     

  • 60

     

  • 20

     

  • 100

     

(2)

Explanation: LCM of 1, 2, 3, 4, 5 = 60