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Which of the following statements is always true?

A is a rational number between x and y.
B is a rational number between x and y.
C is a rational number between
x and y.
D is a rational number between x and y.

Shilpa buys 20 pencils. She puts them equally into 4 geometry boxes.How many pencils are there in each geometry box?

A10
B5
C4
D6

Fill in the blanks and select the CORRECT option.
(i) The number 82564 when rounded off to nearest thousands becomes
__(P)__ .
(ii) __(Q)__ will be added to 56492, to make 98492.
(iii) Difference between largest 5-digit number and smallest 6-digit number is __(R)__ .

Read the given statements carefully and state T for true and F for false.
(i) Roman numeral for largest 3-digit number is CMXCIX.
(ii) The sum of face value of 8 and 6 in the number 85642 is 100.
(iii) The largest 5-digit number formed from the digits 9, 6, 0, 5, 2 (without repetition) is 95062.

The cost price of an item is Rs 30. The marked price is Rs x. A discount of 10% on the marked price still gives a profit of 20% on the cost price. The value of x is

ARs 33
BRs 39.60
CRs 40
DRs 45

Study the given table.

Find the value of Q - P.

A73764
B72160
C76561
D72561

Arrange the following steps in correct order in constructing a quadrilateral PQRS, given PS = 3.2 cm, PQ = 5.6 cm, ∠P = 60°, ∠Q = 75° and ∠R = 90°.
Step 1: At Q, draw ∠YQP = 75°, so that YQ intersects MS at R.
Step 2: With P as centre and radius 3.2 cm, draw an arc to cut PX at S.
Step 3: Draw PQ = 5.6 cm.
Step 4: At P, draw ∠XPQ = 60°.
Step 5: At S, draw ∠MSP = 135°.

A3, 4, 1, 5, 2
B3, 1, 2, 5, 4
C3, 2, 1, 5, 4
D3, 4, 2, 5, 1

Find the missing number, if same rule is followed in all the three figures.


A10
B8
C9
D7

Simplify :


A 1
B (a + b + c)³
C a² + b² + c²
D 0

Which of the following statements is INCORRECT?

A Every non-zero constant polynomial has zero roots.
B Zero polynomial has zero root.
C Every linear polynomial has exactly one root.
D If x – a is the root of p(x) = 0, then p(a) = 0.