**Directions(1-5):** Find out the relationship between x and y and choose a correct option.

- I. √x + 6 = √121 – √36

II. y^2 + 112 = 473y>xx=y or relation cannot be established.x >= yy>=xx>yOption C

x = 19

y= + 19, – 19

x >= y - I. x^ 4 – 1000 = 296

II. y^2 + 330 = 346x=y or relation cannot be established.x>yy>=xx >= yy>xOption A

x = + 6, -6

y = + 6, -6

No relation. - I. x^ 2 + 3x – 40 = 0

II. y ^2 – 14y + 48 = 0x >= yx=y or relation cannot be established.y>xx>yy>=xOption C

x ^2 + 8x – 5x – 40 = 0

x (x + 8) – 5 (x + 8) = 0

x = 5, x = – 8

y^2 – 8y – 6y + 48 = 0

y (y – 8) – 6 (y – 8) = 0

y = 6, 8

y>x - I. x^ 2 + x – 2 = 0

II. y^ 2 + 5y + 6 = 0y>=xy>xx>yx=y or relation cannot be established.x >= yOption E

X^ 2 + 2x – x – 2 = 0

x (x + 2) – 1 (x + 2) = 0

x = 1, – 2

y ^2 + 5y + 6 = 0

y ^2 + 3y + 2y + 6 = 0

y (y + 3) + 2 (y + 3) = 0

y = – 2, – 3

x>=y - I. 2x^2 + 13x + 21 = 0

II. 2y^2 + 27y + 88 = 0y>xy>=xx>yx=y or relation cannot be established.x >= yOption C

2x^2 + 13x + 21 = 0

2x^2 + 7 x + 6x + 21 = 0

x (2x + 7) + 3 (2x + 7) = 0

x = – 7/2, – 3

2y^2 + 16y + 11y + 88 = 0

2y (y + 8) + 11 (y + 8) = 0

y = – 8, – 11/2 - Stokes gave a loan of Rs. 400 to Rashid and recovered it at the rate of Rs. Rs.100 each month for six months, commencing from the end of 1st month. What is the effective rate of simple interest per annum?
85%95%70%100%80%Option D

Principal = Rs.400

Amount = Rs 100 x 6 = Rs 600

Interest = Rs 600 – Rs 400 = Rs 200

Time = 6 months = 6/12 years

Now, 200 = (400 × 1 × R)/( 2 × 100)

R = (440 × 100)/400 = 100% - In a competitive examination in state A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each state?
92508520900080007500Option D

Equal number of candidates appeared in each state.

In state A, 6% candidates got selected.

In state B, 7% candidates got selected.

Given that 80 more candidates got selected in state B than A. 1% of candidates appeared in each state = 80

=> 100% of candidates appeared in each state = 80×100 = 8000

Number of candidates appeared from each state = 8000 - An air conditioner can coo the hall in 40 minutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately ?
28 min.25 min.30 min.20 min.22 min.Option E

Let the two conditioners be A and B.

‘A’ cools at 40min ‘B’ at 45min.

Together =(axb)/(a+b) = (45×40)/85 = 21.1764 = (approx) 22 min. - A dealer buys dry fruits at Rs. 100, Rs 80 and Rs. 60 per kilogram. He mixes them in the ratio 4 : 5 : 6 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?
135120116125105Option C

Let he bought 4x kg, 5x kg and 6x kg of dry fruits.

Total cost price for dealer = (4x×100) + (5x×80) + (6x×60) = 400x + 400x + 360x = 1160x

Total selling price for dealer = 1740x

Required price per kg = 1740x/15x = 116 - A basket contains 8 Red and 6 Pink toys. There is another basket which contains 7 Red and 8 Pink toys. One toy is to drawn from either of the two baskets. What is the probability of drawing a Pink toys?
100/213101/21091/215115/211100/217Option B

Probability of one basket = 1/2

1st Basket Pink toy probability =1/2* (6c1/14c1)

2nd Basket Pink toy probability = 1/2* (8c1/15c1)

Adding both (1/2*6/14) + (1/2*4/15) = 3/14+4/15 = 101/210