Search Previous Year Questions

Concept used:

Follow BODMAS rule to solve this question, as per the order given below:

Calculation:

(39/3) × 5 + 5 × (14/2) = ?% of 400

⇒ 13 × 5 + 5 × 7 = (?/100) × 400

⇒ 65 + 35 = 4 × ?

⇒ 100 = 4 × ?

⇒ ? = 100/4

⇒ ? = 25

∴ The value of ? is 25

Concept:

Follow BODMAS rule to solve this question, as per the order given below:

Calculation:

Considering the given equation

(24/56) × (28/12) ÷ (13/221) + (40/5) = (?/2)

⇒ (24/56) × (28/12) × (221/13) + 8 = (?/2)

⇒ 17 + 8 = (?/2)

⇒ 25 = (?/2)

⇒ ? = 50

∴ Value of ? is 50.

Concept used:

Calculation:

√729 × 34 + 125 × 7 = ? – 47

⇒ 27 × 34 + 125 × 7 = ? – 47

⇒ 918 + 875 = ? – 47

⇒ 1793 = ? – 47

⇒ 1793 + 47 = ?

⇒ 1840 = ?

∴ The value of ? is 1840

Concept:

Calculation: 

⇒  \(\left( {99\frac{1}{7} + 1\frac{2}{7} + 9\frac{3}{7} + 101\frac{1}{7}} \right) =?\)

⇒ 99 + 1 + 9 + 101 + (1/7) + (2/7) + (3/7) + (1/7)

⇒ 210 + (1 + 2 + 3 + 1)/7

⇒ 210 + 1

⇒ 211

∴? = 211

Concept used:

Calculation:

Considering the following given question

√2809 × √1764 + ?² = 1369 + 961 – 23

⇒ 53 × 42 + ?² = 1369 + 961 – 23

⇒ 2226 + ?² = 1369 + 961 – 23

⇒ 2226 + ?² = 2330 – 23

⇒ ?² = 2330 – 23 – 2226

⇒ ?² = 2330 – 2249

⇒ ?² = 81

⇒ ? = 9

∴ ? = 9

Given:

Let the length and breadth of a rectangle be a cm and b cm respectively.

⇒ 448 = ab

⇒ a = b + 12

Solving,

⇒ a = 28cm and b = 16cm

⇒ Perimeter of a sheet = 2(28 + 16) = 88cm

⇒ Circumference of a circle = 2πr = 88

⇒ Radius of a circle = 14cm

∴ Area of a circle = πr² = 22/7 × 14² = 616 sq.cm

Given:

Income = 9 : 11

Expenditure = 5 : 7

savings = Rs. 4400

Calculation:

Let the income of A be Rs. 9x

Income of B = Rs. 11x

Expenditure of A = 5y

Expenditure of B = 7y

So, 9x - 5y = 4400      ----(1)

11x - 7y = 4400      ----(2)

(1) × 7 - (2) × 5 gives,

63x - 35 y - 55x + 35y = 8800

⇒ 8x = 8800

⇒ x = Rs. 1100 

∴ Difference = 2x = Rs. 2200

∴ The answer is Rs. 2200

  

Savings = 9 - 5 = 4 ratio, 11 - 7 = 4 ratio

A.T.Q

4 ratio = 4400

Difference = 2 ratio = Rs. 2200

∴ The answer is Rs. 2200

Concept Used:

Total work is lcm of time taken by all persons individually

Formula Used:

Total work = Efficiency × Time taken

Calculations:

Let the efficiencies of A and B be a and b respectively.

Days taken by A and B to complete the work = 25

⇒ Total work = (a + b) × 25      ----(1)

B starts the work and after 9 days, A joins him and work is completed in 26 days

⇒ Total work = 9 × b + (26 - 9) × (a + b)      ----(2)

Equating (1) and (2), we get

(a + b) × 25 = 9 × b + 17 × (a + b)

⇒ 8a + 8b = 9b

⇒ a : b = 1 : 8

Now, Total work = (a + b) × 25

⇒ Total work = (1 + 8) × 25 = 225

Days taken by B alone to complete the work = 225/8

⇒ Days taken by B alone to complete the work = 225/8 

∴ The days taken by B alone to complete the work is 225/8.

 

 

B starts the work and after 9 days, A joins him and work is completed in 26 days

⇒ 25 = 9 × b + (26 - 9) × (a + b)    

⇒ 25 = 9b + 17 × 1

⇒ 9b = 8

⇒ b = 8/9

Days taken by B alone to complete the work = 25/(8/9)

⇒ Days taken by B alone to complete the work = 225/8

∴ The days taken by B alone to complete the work is 225/8.

Given:

Article cost price for A = Rs. 400

Formula Used:

If an article is sold at a profit of x%, and the Cost Price is CP;

then the SP becomes:

SP = [(100 + x)/100] × CP

Similarly, for a loss of y%, the SP becomes:

SP = [(100 - y)/100] × CP

Calculation:

CP for B = 120% of 400 = 400 × (120/100) = Rs. 480

Now CP for C = 110% of 480 = 480 × (110/100) = Rs. 528

∴ Amount C pay to B is Rs. 528.

Given:

5 years ago

Dave = 5 times his daughter

5 years later

Dave = 3 times his daughter

Calculation:

Let the present age of Dave be x and that of his daughter be y

Forming equations:

⇒ x – 5 = 5(y – 5)

⇒ x + 5 = 3(y + 5)

After solving we get,

⇒ x = 55 and y = 15

After how many years, he will be twice as old as his daughter

∴ 55 + x = 2 (15 + x)

⇒ x = 25 years

∴ After 25 years, Dave will be twice that of his daughter.

Hint

The problem can be solved from the options using (55 + 25)/(15 + 25)

⇒ 80/40

⇒ 2 (twice)