# Top 100+ Simplification Problems with Solutions Pdf - 1

Question: 1

\$\${180 × 15 - 12 × 20} / {140 × 8 + 2 × 55}\$\$

(A) 2

(B) 3

(C) 4

(D) 5

Ans: A

Given expression = \$\${2700 - 240} / {1120 + 110}\$\$ = \$\${2460}/{1230}\$\$ = 2.

Question: 2

\$\${5004} / {139} - 6\$\$ = ?

(A) 24

(B) 30

(C) 32

(D) 40

Ans: B

Given expression = \$\${5004} / {139} - 6\$\$ = 36 - 6 = 30.

Question: 3

7500 + \$\$({1250} /{50})\$\$ = ?

(A) 6575

(B) 7255

(C) 7525

(D) 7829

Ans: C

Given expression = 7500 + 25 = 7525.

Question: 4

\$\$4{4}/{5} ÷ 6{2}/{5}\$\$ = ?

(A) \$\${3}/{4}\$\$

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

(C) \$\${5}/{7}\$\$

(D) \$\${5}/{8}\$\$.

Ans: A

Given expression = \$\${24}/{5}\$\$ ÷ \$\${32}/{5}\$\$ = \$\${24}/{5} × {5}/{32}\$\$ = \$\${3}/{4}\$\$.

Question: 5

\$\${1}/{1.2.3} + {1}/{2.3.4} + {1}/{3.4.5} + {1}/{4.5.6}\$\$ is equal to

(A) \$\${7}/{30}\$\$

(B) \$\${11}/{30}\$\$

(C) \$\${13}/{30}\$\$

(D) \$\${17}/{30}\$\$

Ans: A

Given expression = \$\${4.5.6 + 5.6 + 2.6 + 2.3} / {1.2.3.4.5.6}\$\$

= \$\${120 + 30 + 12 + 6} / {720}\$\$ = \$\${168} / {720}\$\$ = \$\${7}/{30}\$\$.

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