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  x = 1 - q and y = 2q + 1, then for what value of q, x is equal to y ?

A) 0 B) 1
C) -1 D) -2
 
Answer & Explanation Answer: A) 0

Explanation:

x = y  <=> 1 - q =  2q  + 1  <=> 3q  = 0 <=> q = 0.

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8 7026
Q:

What should come in place of question mark (?) in the following question?

65% × 700 + √196 – 9 × 3 = ?

A) 522 B) 442
C) 402 D) 362
 
Answer & Explanation Answer: B) 442

Explanation:

As per the BODMAS rule, Addition and subtraction can be treated on same priority (from left to right) when they are in consecutive order.

65% × 700 + 14 - 9 × 3 65 × (700/100) + 14 - 27 455 + 14 - 27 = 442

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0 7014
Q:

What should come in place of question mark (?) in the following question?

52000 ÷ 40 ÷ 65 × 30 = ? - √400

A) 580 B) 620
C) 720 D) 780
 
Answer & Explanation Answer: B) 620

Explanation:

52000 ÷ 40 ÷ 65 × 30 = ? - √400

(52000 ÷ 40) ÷ 65 × 30 = ? - 20

(1300 ÷ 65) × 30 = ? - 20

20 × 30 = ? - 20

600 = ? - 20

? = 620

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0 6859
Q:

Ifab=45andbc=1516, then c2-a2c2+a2 is :

A) 7/5 B) 7/25
C) 7/125 D) 7
 
Answer & Explanation Answer: B) 7/25

Explanation:

ab×bc=45×1516=34=16-916+9

 

=725

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7 6828
Q:

If x2 + kx + k = 0 has no solution, then the value of k will satisfy

 

A) k < 4 B) k > -4
C) k > 4 D) 0 < k < 4
 
Answer & Explanation Answer: D) 0 < k < 4

Explanation:
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1 6817
Q:

The price of 2 oranges, 3 bananas and 4 apples is Rs. 15. The price of 3 oranges, 2 bananas and 1 apple is Rs. 10. What will be price of 4 oranges, 4 bananas and 4 apples  ?

A) Rs. 10 B) Rs. 15
C) Rs. 20 D) Rs. 25
 
Answer & Explanation Answer: C) Rs. 20

Explanation:

Let the Oranges be 'O', Bananas be 'B' and Apples be 'A'

From the given data,

 

2O + 3B + 4A = 15 ...... (I)

3O + 2B + A = 10 ..... (II)

On adding (I) and (II),

5O + 5B + 5A = 25

O + B + A = 5

4O + 4B + 4A = 20.

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12 6705
Q:

Which of the following statement(s) is/are TRUE?

I. 12>163>244II. 253>324>486III. 94>153>246

A) Only I and II B) Only I and III
C) Only I D) All are true.
 
Answer & Explanation Answer: A) Only I and II

Explanation:
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0 6700
Q:

Directions: What value should come in place of question mark (?) in the following question?

69÷3×0.85+24.5-13.8=?

A) 31.75  B) 30.25 
C) 28.95  D) 35.25 
 
Answer & Explanation Answer: B) 30.25 

Explanation:

= (69x85/3x100) + 10.7

= 30.25.

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0 6632