Simplification MCQ Set 10

Showing question 46 to 50 of total 79 MCQs

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Question No: 46

Find value of (a²+2a+b²)/(a³-2a² ), if a + (b²/a)= 2? - Published on 27 Mar 17

1. 4/b²
2. (2a²)/b²
3. -2a²b²
4. 4/(- b² )

Answer: D

Explanation

Question No: 47

What is value of [13.8 x 1.9 ÷ 5.7 + 11.2 of (1/16) - (1/20)]?

1. 5.50
2. 5.225
3. 55.22
4. 5.25

Answer: D

Explanation

While simplifying always followrules of VBODMAS

Order of simplification will be

V – Brackets – Go from inner bracket to outer bracket

O – of operation

D - Division

M – Multiplication

A - Addition

S – Subtraction

Question No: 48

Find value of M - 1/M, if M + 1/M = 4?

1. 
   
2. 2
3. 
   
4. -4

Answer: C

Explanation

Squaring given equation we get

(a + b)² = a² + b² + 2ab

(a - b)² = a² + b² - 2ab

Question No: 49

What is the value of

1. 36
2. 445
3. -663
4. -575

Answer: D

Explanation

While simplifying always followrules of VBODMAS

Order of simplification will be

V – Brackets – Go from inner bracket to outer bracket

O – of operation

D - Division

M – Multiplication

A - Addition

S – Subtraction

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Question No: 50

A pot was 2/3^rd full with mud. Ramesh removed 18 scoops of mud. But later Suresh added 12 scoops of mud. When Ramesh checked the pot was 3/5^th full. How many scoops of mud can the pot contain?

1. 90
2. 60
3. 54
4. 144

Answer: A

Explanation

Removing 18 scoops of mud and adding 12 scoops means effectively only (18-12=)

6 scoops were removed.

Difference in initial and final amount of mud in the pot = 2/3 – 3/5 = 1/15

6 scoops fill 1/15 the parts of pot

? scoops can fill 1 pot (entire pot)