10ERPSM20F

efgh is a four-digit number. One hundredth of efgh is the mean of ef and gh. Find the value of e + f + g + h.

• A) 15

• B) 16

• C) 17

• D) 18

If x² + 1 = 2x, find the value of 2 x⁹ + x⁷ + x^-7 + x^-9

• A) 1

• B) 4

• C) 6

• D) None of these

In a triangle ABC, the median AD divides ∠ BAC in the ratio 1 : 2.

Extend AD to E such that EB is perpendicular AB. Given that BE = 3, BA = 4, find the integer nearest to

BC ²

• A) 29

• B) 30

• C) 31

• D) 32

Study the pic carefully and choose the option .

What is the maximum possible area of ABCD ?

• A) 40

• B) 45

• C) 50

• D) 55

Study the pic carefully and choose the option .

• A) 2560

• B) 2650

• C) 3200

• D) 1600

If rectangle AGFE is inside quarter circle with center A, and H is center of smaller tangential circle. Given AG = 4, GF = 3 then Find the ratio of HJ :JB.

• A) 3 : 2

• B) 2 : 1

• C) 5 : 2

• D) None

Then the value of k is /are ...

• A) only

• B) only 1/2

• C) –1 or ½

• D) None of these

Choose the option after studying the picture carefully .

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• 
• 
• 

Choose the option after studying the picture carefully .

• A) 248

• B) 464

• C) 496

• D) 232

In the given figure ABCD is a square , E is the midpoint of CB. AF is drawn perpendicular to DE. If the side of the square is 39 cm, then the length of FB is ....

• A) 25 cm

• B) 29 cm

• C) 30 cm

• D) 39 cm