Simplification Questions

FACTS  AND  FORMULAE  FOR  SIMPLIFICATION  QUESTIONS

 

 

1. BODMAS Rule: This rule depicts the correct sequence in which the operations are to be executed,so as to find out the value of a given expression. Here, 'B' stands for bracket , 'O' for of , 'D' for division and 'M' for multiplication, 'A' for addition and 'S' for subtraction.

Thus, in simplifying an expression, first of all the brackets must be removed, strictly in the order(), {} and [].

After removing the brackets, we must use the following operations strictly in the order:

(1) of    (2)division   (3) multiplication   (4)addition   (5)subtraction.

 Modulus of a real number : Modulus of a real number a is defined as |a| = aif a>0-aif a<0

 

2. Virnaculum (or bar) : When an expression contains Virnaculum, before applying the ‘BODMAS’ rule, we simplify the expression under the Virnaculum.

Q:

If m ­ n = 2 , mn = 15 , (m , n > 0) then the value of m2-n2m3-n3

A) 1856 B) 1658
C) 1586 D) 1568
 
Answer & Explanation Answer: D) 1568

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

2 1854
Q:

The standard deviation of the set {10, 11, 9, 11, 9} is

A) 1/√5 B) 2/√5
C) 3/√5 D) 0
 
Answer & Explanation Answer: B) 2/√5

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

10 1852
Q:

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)? 499.99 + 1999 ÷ 39.99 × 50.01=?

A) 3200 B) 2700
C) 3000 D) 2500
 
Answer & Explanation Answer: C) 3000

Explanation:

500+2000÷40×50=?

?= 500+(2000÷40)×50

?= 500+50×50

?=500+2500

?=3000

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

1 1851
Q:

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)?

[(7.99)2–(13.001)2+(4.01)3]2=?

A) -1800 B) 1450
C) -1660 D) 1660
 
Answer & Explanation Answer: D) 1660

Explanation:

[(7.99)^2–(13.001)^2+(4.01)^3]^2= X X= [8^2-13^2+4^3]^2 X= [64-169+64]^2 X= [-41]^2 X=1681

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

1 1849
Q:

If (1 + secA)/tanA = x, then x is

A) cot(A/2) B) tan(A/2)
C) cosec(A/2) D) sec(A/2)
 
Answer & Explanation Answer: A) cot(A/2)

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

6 1845
Q:

If xy = 22 and x2+ y2= 100, then what will be the value of (x + y)?

A) 12 B) 144
C) 72 D) 6
 
Answer & Explanation Answer: A) 12

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

5 1840
Q:

If ax= by= cz and b2= ac, then what is 1x+1z equal to ?

A) 1/y B) -1/y
C) 2/y D) -2/y
 
Answer & Explanation Answer: C) 2/y

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1836
Q:

If Tan θ = 9/40, then Sec θ = ?

A) 40/41 B) 9/41
C) 41/40 D) 41/9
 
Answer & Explanation Answer: C) 41/40

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

1 1834