# 1000+ Aptitude Test Questions and Answers Pdf - 1

Question: 1

H.C.F. and L.C.M. of two numbers are 8 and 48 respectively. If one of the numbers is 24 then the other number is

(A) 16

(B) 32

(C) 48

(D) 56

Ans: A

Product of the numbers = H.C.F. × L.C.M.

⇒ second number = \$\${8 × 48} / {24}\$\$ = 16.

Question: 2

Find the two largest numbers of four digits having 531 as their H.C.F.

(A) 9027, 9558

(B) 9037, 9568

(C) 9127, 9658

(D) 9231, 9762

Ans: A

The greatest number of four digits divisible by 531 is 9558. So the other number is 9558 - 531 = 9027. Thus, the numbers are 9558 and 9027.

Question: 3

A wholesale tea dealer has 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box.

(A) 12

(B) 24

(C) 36

(D) 50

Ans: A

The capacity of the box is H.C.F. of 408, 468 and 516. i.e., 12.

Question: 4

Find the H.C.F. of 70 and 90.

(A) 5

(B) 10

(C) 20

(D) 40

Ans: B

70 = 2 × 5 × 7

90 = 2 × 5 × 9

Common factors are 2 and 5.

∴ H.C.F. = 2 × 5 = 10.

Question: 5

Determine the L.C.M. of \$\${2}/{5}\$\$, \$\${3}/{10}\$\$ and \$\${6}/{25}\$\$.

(A) \$\${2}/{5}\$\$

(B) \$\${6}/{5}\$\$

(C) \$\${9}/{5}\$\$

(D) \$\${11}/{5}\$\$

Ans: B

L.C.M. of \$\${2}/{5}\$\$, \$\${3}/{10}\$\$ and \$\${6}/{25}\$\$

= \$\${L.C.M. of 2, 3 and 6} / {H.C.F. of 5, 10 and 25}\$\$

∴ L.C.M. of 2, 3 and 6 = 6

And H.C.F. of 5, 10 and 25 = 5

∴ Required L.C.M. = \$\${6}/{5}\$\$

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