1000+ Quantitative Aptitude Questions & Answers for Competitive Exams - 1

Question: 1

Is ti possible to divide 1,000 into two parts such that their HCF is 15?

(A) Yes, It is possible

(B) No, it is sometimes possible

(D) Yes, it may be possible

View Answer

Ans: C

Since 1000 nor divisible by 15, it is not possible to divide 1000 into two parts such that their HCF may be 15.

Question: 2

Find the least number of squares tiles required to pave the ceiling of a hall 17 m 55 cm long and 8 m 10 cm broad.

(A) 64

(B) 74

(D) 82

View Answer

Ans: C

The maximum size of square tile

= HCF of length and breadth of hall

= HCF of 17 m 55 cm and 8 m 10 cm

= HCF of 1755 cm and 810 cm

= 135 cm

The number of square tiles required

= $${Area of hall} / {Area of one tile}$$ = $${1755 × 810} / {(135)^2}$$ = 78.

Question: 3

The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. Then larger of the two number is

(A) 276

(B) 299

(D) 322

View Answer

Ans: D

Given HCF = 23; LCM = 13 x 14 x 23

∴ Larger of the two numbers = 14 x 23 = 322

Question: 4

$${1095} / {1168}$$ when expressed in simplest form is

(A) $${13}/{16}$$

(B) $${14}/{16}$$

(D) $${25}/{26}$$

View Answer

Ans: C

$${1095}/{1168}$$ = $${15}/{16}$$

Question: 5

The sum of two numbers is 468 and their HCF is 39. How many pairs of such numbers can be formed?

(A) 6

(B) 12

(D) 36

View Answer

Ans: A

468 ÷ 39 = 12

∴ 11 numbers are available and the number of pair of numbers having HCF = 39 is given by $${11 + 1} / {2}$$ = 6.

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1000+ Quantitative Aptitude Questions & Answers for Competitive Exams - 1

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