IPMAT Mock Test - 5 (New Pattern) - Commerce MCQ

= 80 / 100x = 45x

∴ 4 / 5x = 4 lakhs

⇒ x = 5 lakhs.

x = 80 × 27 × 816 × 45 = 24 turns.

Hence, the correct option is (C).

xy = 96

= 1 x 96 or 2 x 48 or 3 x 32 or 4 x 24 or 6 x 16 or 8 x 12.

When adding:

x + y = 97 or 50 or 35 or 28 or 22 or 20.

Hence, 36 cannot be the value of x + y.

If the number has to be divisible by 9, then a + b + 16, has to be divisible by 9.

Hence, a + b can be either 2 or 11. It cannot be 11 because a + b < 8. So, the possible values of (a, b) are : (0, 2) or (1, 1) or (2, 0) ...(i)

If a number has to be divisible by 25 the last 2 digits has to be divisible by 25.

So, b is equal to 2 or 7 ...(ii)

Combining (i) and (ii), we get a = 0 and b = 2. So, the number is 344025.

Hence the correct option is A.

volume of mixture is 4 + (25% of 4) = 5 L, of which 3 L is water.

So, ratio of spirit and water = 2 : 3.

Hence the correct option is A.

⇒ A will take 10/3 days to finish it. (As A is thrice as efficient as B )

⇒ C will take 20 days to finish it, as C is half as efficient as B

∴ Together they will finish the work in:

Hence the correct option is A.

∴ Ratio of orange juice to water

i.e. 7:17

= 1 / 8 − 1 / 12 = 1 / 24

Hence, 3 / 4 of the tank will be emptied in 24 × 3 / 4

= 18 min

Speed (V) = Distance (d) / time(t) t = d / v

In this case, t₁ = d/10 and t₂ = d/30 Thus total time t = t₁ + t₂ = d/10 + d/30

Total distance = d + d=2d

∴ Average speed = Total distance / Total time

Hence the correct option is B.

x² - (Sum of the roots)x + (Product of roots) = 0.

Here, sum of roots = 7 and product of roots = 12

The required equation is x² - 7x + 12 = 0.

Hence the correct option is C.

a² − b² = 181

⇒ (a + b)(a − b) = 181 = 181 × 1

(∵181 is a prime number and a and b are natural numbers

∴ a + b=18

and

a − b = 1

Solving it, we get

a = 91, b = 90

∴ a² + b² = 16381

Distance cover by Pawan in 1 minute

= l / 6 Distance cover by Qureshi in 1 minute = l / 10

If they meet for the first time after t minutes then, t × (1 / 6 + 1 / 10) = 1

2x + 4y + z = 9 ...(i)

x + 2y + 2z = 6 ...(ii)

Multiplying equation (ii) by 2 and subtracting from (i), we get:

2x + 4y + z - 2(x + 2y + 2z) = 9 -12

- 3z = -3

z = 1

Hence, the correct option is (B).

In the can water and milk would be 1 : 2,

70% of 20 litre = 70100 × 20 = 14 litre

6 + x : 14 = 1 : 2

(6 + x) 2 = 14

6 + x = 7

x = 1 litre

= 27/51 = 9/17

∴ Profit share of B = 17 / 9 + 17 × 5200 = Rs3,400

Therefore the ages are 10 years for the younger one and (10 + 20) years = 30 years for the elder one.

Hence the correct option is B.

As HCF x LCM = Product of two numbers 13 x 78 = 26 x n

⇒ n = 39

Hence the correct option is B.

The number of ways that all dice show the same number i.e. (1,1,1), (2,2,2), (3,3,3), (4,4,4)

(5,5,5) and (6,6,6) is 6

Required probability

= 6 / 216 = 1/36

= 540 / 1.08 = Rs.500

Area = x×y.

Now the new length = 1.5x.

New area = 1.5x × y.

⇒ New area = 1.5 x old area i.e. 50% increase in area

Hence the correct option is D.

∴ Number of employees using cars = 3 / 4x

∴ Number of car-owners using a Mercedes

In percentage terms =

since the distances travelled in each direction is the same, and the effective speeds are in the ratio, (10 − 6) : (10 + 6) = 1 : 4, the time taken to travel upstream and downstream would be in the ratio,

(1/ 1) : (1 / 4) = 4 : 1

Alternative method:

Distance travelled in one direction be x

Time is taken for covering the distance upstream

Time taken for covering the same distance downstream =

Hence, the ratio of the times = x / 4 : x / 16 = 4 : 1

between 7 - and 8 -time periods. since each period =5 min, time taken is between 35 and 40 min. You could linearly interpolate between the 2, which would be approximately 38min

Easier method:

Let the number of bacteria = 100

After 5 min, number of bacteria = 100 + 10 = 110

After 10 min, number of bacteria = 110 + 11 = 121

After 15 min, number of bacteria = 121 + 12.1 = 133.1

After 20 min, number of bacteria = 133.1 + 13.31 = 146.41

After 25 min, number of bacteria = 146.41 + 14.64 = 161.05

After 30 min, number of bacteria = 161.05 + 16.10 = 1 77.15

After 35 min, number of bacteria = 177.15 + 17.71 = 194.86

After 40 min, number of bacteria = 194.86 + 19.49 = 214.35

It is evident that the number of bacteria became 200 or doubles between 35 min and 40 min.

Hence the correct option is C.

Temperature (Thursday + Friday + Saturday Sunday) = 40^∘C × 4 = 160^∘C

Adding (i) and (ii), we get :

Temperature (Monday to Sunday) + Temperature (Thursday) = 304^∘C Hence, the average temperature (Monday to Sunday) =

So Krishnan buys eggs for 12P

X eggs have been sold at a profit of 10% , so selling price of X eggs = 1.1(XP)

Remaining eggs at a loss of 10% , selling price of 12 − X eggs = 0.9((12 − X)P)

He makes 5% profit as a whole.

Total selling Price = 1.05× Cost Price

1.1(XP) + 0.9((12 − X)P) = 1.05 × 12P

⇒ 1.1X + 10.8 − 0.9X = 12.6

⇒ 0.2X = 1.8

⇒ X = 9

Selling price of one orange 15 Net gain/loss = 0%

For a lender, the income earned is equal to the interest on the loan disbursed.

There was a loss of 2% on the principal every year. For 2 years the earnings foregone =4% of principal. Old earning =40% of principal New earning =36% of principal So, the percentage reduction in earnings

Hence the correct option is B.

If the shopkeeper bought sugar at , he would sell this at Math input errorMath input error.

Since there are 20% impurities also in this, sugar whose is sold at 1000 + 20% of Hence, profit = 400 / 800 × 100 = 50%. OR

If only the faulty weight were considered, profit would be 1000 − 800 / 800 × 100 = 25%

since 20% impurities are added, it is a successive increase in profit.

Hence, net profit = 25 + 20 + 25 × 20100 = 50%

Hence the correct option is A.