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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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Filed Under: Simplification
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Q:

In a family of six person O, N, M, R, Q and P each play one game out of six games viz. Football, Hockey, Golf, Tennis, Cricket and Basketball. There are two married couples. N who play Hockey is daughter-in-law of Q. O is the father of R who is Golf player. R is the father of M who is a cricketer. P is the brother of M. Football is not played by any female member. Q's husband play Basketball.

Questions :

1. How is M related to Q ?  

2. Which person play Tennis ?

Answer

   Q(f)      -     O(m)


 (Tennis)      (Basketball)


              |


             R(m)  -   N(f) 


           (Golf)     (Hockey)


                      |


               M              P(m)


        (Cricketer)      (Football)


 


Answer   1: Can't be determined because M may be Grandson or Grand daughter of Q.


Answer   2: Q plays Tennis.

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Q:

Who has penned a book titled 'I Do What I Do: On Reform, Rhetoric and Resolve' ?

A) Ajay Tyagi B) Raghuram Rajan
C) Bimal Jalan D) Urjit Patel
 
Answer & Explanation Answer: B) Raghuram Rajan

Explanation:
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Filed Under: Books and Authors
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Q:

The twice of sum of the ages of a father and his son is 8 times the age of the son. If the average age of the father and the son is 30 years, what is father's age ?

A) 42 yrs B) 45 yrs
C) 36 yrs D) 38 yrs
 
Answer & Explanation Answer: B) 45 yrs

Explanation:

Let father's age be x year and son's age be y year.

According to question,

2(x+y) = 8y _______(I)

and (x+y)/2 = 30

=> x+y = 60 years__________(II)

From equation (I) and (II)

8 y = 120

y = 15 years,

Hence x = 45 years.

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Filed Under: Problems on Ages
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Q:

A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number  ?

A) 7 B) 23
C) 9 D) 21
 
Answer & Explanation Answer: B) 23

Explanation:

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23

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Filed Under: Problems on Numbers
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Q:

At an examination in which maximum marks are 500. K got 10% less than L, L got 25% more than M and M got 20% less than N. If K got 360 marks what percentage of marks was obtained by N ?

A) 80 B) 87
C) 78 D) 76
 
Answer & Explanation Answer: A) 80

Explanation:

Let marks obtained by N = x

M's marks = 0.80x

L's marks = 1.25 (0.80x)

K's marks = (0.90) (1.25) (0.80x)

= 0.9x

But 0.9x = 360 ⇒ x = 400

Percentage of Marks obtained by N

= 400 x 100/500 = 80%

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Filed Under: Percentage
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Q:

In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ?

A) 38 lit B) 96 lit
C) 48 lit D) 52 lit
 
Answer & Explanation Answer: C) 48 lit

Explanation:

Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively.

According to given data,

4x/3x+6 =8/7

28x=24x+48

28x–24x=48

4x = 48

x = 12

Amount of juice = 4x = 4×12 = 48 litre.

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Filed Under: Alligation or Mixture
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Q:

The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ?

A) 225 deg B) 210 deg
C) 205 deg D) 245 deg
 
Answer & Explanation Answer: A) 225 deg

Explanation:

Angle of triangle = 180 × 3/12

= 45 deg

Other angles of the triangle are = 60 deg, 75 deg

Angle of quadrilateral

= 360 - (45 + 60 + 75)

= 180 deg

Therefore, the four angles of the quadrilateral are 45, 60, 75 & 180 degrees.

Hence, the sum of largest and smallest angle of the quadrilateral are 180 + 45 = 225 deg.

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Filed Under: Ratios and Proportions
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