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Given that ∠ACD is 4° more than ∠CDE and ∠CDE is 22° more than ∠DAC. Also, the sum of ∠BCE and ∠BDE is 26° and ∠EBF = 80°. Find the value of x.


A40°
B30°
C60°
D75°

If then find the value of

A
B
C
D

In the given figure (not drawn to scale), ABCD is a rectangle. ED = 16 cm, FG = FC = 8 cm, BF = 20 cm and FG is perpendicular to BC. If CD is half of AD, then find the area of the shaded region (in cm²).

A320
B325
C220
D225

In the given figure, state whether the triangles are congruent and choose the correct order.


AYes, ΔABC ≅ ΔDCE
BNo, they are not congruent
CYes, ΔDCE ≅ ΔCAB
DYes, ΔDEC ≅ ΔCAB

A
B
C
D

Study the statements and choose the correct option.
Statement 1 : Rajan had money which was enough to buy 30 books at the rate of Rs 20 per book. If the price of each book is increased to Rs 25, then Rajan can buy 24 books with the same amount of money.
Statement 2 : Since in the above case, the value of one variable increases and the value of the other decreases, the problem is based on the application of inverse variation.

AStatement 1 is true and statement 2 is false.
BStatement 1 is false and statement 2 is true.
CBoth statement 1 and 2 are false.
DBoth statement 1 and 2 are true.

84 thousands 60 hundreds 15 tens - 16 thousands 82 hundreds 28 tens 19 ones = ____________.

A65561
B65651
C56651
D56561

Sakshi is thinking of a four digit number.
• The second digit is the second multiple of 3.
• The third digit is thrice of the first digit.
• The fourth digit is the common multiple of 2 and 3.
• The first digit is the smallest even number.
Identify the number.

A2656
B1666
C2646
D2666

Thirty one crore fifty five lakh thirty two thousand eight hundred in numerals is written as ______.

A 31,55,32,800
B 3,01,55,32,800
C 3,15,05,32,800
D 3,15,53,02,800

Nancy buys 22 red roses and 8 pink roses. How many more red than pink roses does she buy?

A15
B30
C14
D20