Search Previous Year Questions

Correct option - 1

1. Two persons were seated between the one who likes Black colour and the one who likes Pink colour and neither of them was seated at the end. The one who likes Black colour was seated second to the left of the one who likes Red colour.

2. The one who likes Green colour was seated at the right end. The one who likes Yellow colour was seated to the left of the one who likes Blue colour. 

The one who likes Yellow colour was seated second to the left of the one who likes Blue colour

Hence, option 1 is the correct answer

The pattern followed is,

In each step, elements shift from left to right column-wise. For example, all the elements of column 1 shift to column 2, those of column 2 shift to column 3.

Then, the symbols in the first column rotate in a cyclic manner from top to bottom.

The figure which will come next is,

Hence, option 4 is the correct answer.

Given Series: 32H5, 16K10, 8O20, 4T40, ?

The logic followed for first number is:

32 ÷ 2 = 16

16 ÷ 2 =   8

8 ÷ 2 =   4

4 ÷ 2 =   2

So, First digit will be 2.

The logic followed for the letters is:

Letters are: H, K, O, T

So, letter will be Z.

The logic followed for the number is:

Second numbers: 5, 10, 20, 40

5 × 2 = 10

10 × 2 = 20

20 × 2 = 40

40 × 2 = 80

Hence, the next term is 2Z80.

The series is:

11

11 × 2 - 2 = 20

20 × 3 - 3 = 57

57 × 4 - 4 = 224

224 × 5 - 5 = 1115

Hence, wrong term is 226, Option (3) is correct.

Given series: 30, 38, 52, ?, 98, 130

The logic is:

Hence, 72 is the correct answer.

Given: 

Mark up% = 60%

Discount = 10%

Concept used:

Marked price = C.P. + Markup % of C.P.

Selling Price = Marked price - Discount

Profit % = \({S.P. - C.P. \over C.P.}\) ×  100%

Calculations:

 

Marked price = C.P. + Markup % of C.P.

Selling Price = Marked price - Discount

Profit % = \({S.P. - C.P. \over C.P.}\) × 100%

Let the C.P. of the article = 100x

Marked price = 100x + 60% of 100x = 160x

Selling price = 160x - 10% of 160x = 144x

Profit % = \({144x - 100x\over 100x}\) × 100 % = 44%

Let the C.P. of the article = 100x

Marked price = 100x + 60% of 100x 

 ⇒ Marked price = 160x

Selling price = 160x - 10% of 160x

 ⇒ Selling price = 160x - 16x

 ⇒ Selling price = 144x

Profit = \({144x - 100x\over 100x}\) × 100 %

 ⇒ Profit = 44%

Hence option D is the correct answer.

Shortcut Trick⇒ M.P. = 160% of C.P

⇒ S.P. = 90% of M.P

⇒ (S.P.)/(C.P.) = (160/100) × (90/100) = 144/100

if, C.P. = 100, then S.P. = 144.

∴ Profit of Rs. 44 and P% of 44%, as we're calculating everything on 100.

GIVEN:

Money invested by P is Rs. 28000 per month and he has invested for 8 months.

Money invested by Q is Rs. 42000 per month and he has invested for 12 months.

CONCEPT:

In this type of questions, the profit ratio among the persons is the same as that of the ratio of their capital investment. So we will find the ratio of capital investment, which will be the same as the profit ratio and since we know the total profit and profit ratio, we can find the individual profit.

FORMULA USED:

Profit made by A = (Amount of money invested by A × Total profit) / Total money invested by A and B together)

CALCULATION:

Total money invested by A = 28000 × 8 = 224000

Total money invested by A and B together = 28000 × 8 + 42000 × 12 = 728000

Profit made by A = (224000 × 21125) / 728000 = 6500

∴ The profit made by A is Rs. 6500.

Given:

Sunil purchased a fan at a 10% discount on the labeled price.

If he had purchased it at a 15% discount, he would have saved ₹400.

Concept used:

Cost price = Labelled price × (100 - discount)%

Calculation:

Let the labeled price of the fan be Rs. 100x

Now,

After the actual discount cost price of the fan for Sunil was = 100x × 90%

⇒ 90x

Now,

If he gets a 15% discount then,

Cost price = 100x × 85%

⇒ 85x

According to the question,

90x - 85x = 400

⇒ 5x = 400

⇒ x = 80

So, 100x = 8000

∴ The labeled price of the fan is ₹8,000.

Shortcut Trick

​A difference of 5% discount saved Rs.400

Then 100% → 400/5 × 100 = 8000 (Marked Price)

Shortcut Trick

LCM of the denominators 6, 8, and 9 is 72. Multiplying fractions by 72 gives integer ratio.

A : B : C = (1/6 × 72) : (1/8 × 72) : (1/9 × 72) = 12 : 9 : 8

Total units = 12 + 9 + 8 = 29 units → ₹3,596

1 unit = ₹3,596 ÷ 29 = ₹124

Difference between A and C = 12 − 8 = 4 units → 4 × 124 = 496

∴ The correct answer is ₹496.

Alternate Method

Given:

Total amount to be divided = ₹3,596

Initial ratio of shares of A, B, and C = 1/6 : 1/8 : 1/9

Calculations:

⇒ LCM of the denominators 6, 8, and 9 is 72.

⇒ Multiplying each fraction by 72 to get simple integer ratios:

⇒ Share of A = 1/6 × 72 = 12 units

⇒ Share of B = 1/8 × 72 = 9 units

⇒ Share of C = 1/9 × 72 = 8 units

⇒ Simplified ratio of shares A : B : C = 12 : 9 : 8

⇒ Total sum of ratio units = 12 + 9 + 8 = 29 units

⇒ We know, 29 units = ₹3,596

⇒ 1 unit = 3596 ÷ 29 = 124

⇒ Difference in ratio between A and C = 12 units − 8 units = 4 units

⇒ Total difference in amount = 4 × 124 = 496

∴ The correct answer is ₹496.

Additional Information

Ratio Simplification

To convert fractional ratios into simplest integer ratios, multiply each fraction by the Least Common Multiple (LCM) of all the denominators.

Proportion

When two ratios are equal, they are said to be in proportion (a/b = c/d). The core rule of proportion is that the product of the extremes equals the product of the means (a × d = b × c).

Distribution of Amount

If a total quantity T is to be divided among participants in the ratio a : b : c, the individual share can be calculated as Share = (Individual Ratio Unit ÷ Total Ratio Units) × T.

Total no. of students = 56

Boy-girl ratio = 4 ∶ 3

⇒ Total no. of girls = 3/7 × 56 = 24

Ratio of girls scoring above 60% and below 60% = 5 ∶ 3

∴ No of girls scoring below 60% = 3/8 × 24 = 9