**1. HCF of two numbers is 28 and their LCM is 336. If one number is 112, then the other number is :**

A. 56

**B. 84**

C. 98

D. 75

**(Product of 2 numbers = LCM ×HCF of 2 numbers**

**112 × y = 336 × 28**

**y = 9408/112 ; y = 84 ans)**

**2. If (2/3)x= 0.6 and 0.02y= 1, then the value of x+y-1**

**A. 0.92**

B. 1.2

C. 50.6

D. 48.8

**(x = 0.6×3/2, i.e x= 9/10**

**Y= 1/0.02 i.e y= 50**

**∴9/10 + 1/50 = 46/50 i.e 0.92 ans)**

**3. 50% of (100- 20% of 300) is equal to :**

A. 40

B. 130

C. 60

**D. 20**

**{(50/100)×(100- 20/100 ×300)**

**1/2 × (100-60)**

**(1/2) × 40 = 20 ans }**

**4. The sum of all interior angles of a polygon is 1440°. The number of sides of the polygon is :**

A. 12

B. 14

**C. 10**

D. 8

**{Sum of all interior angles of a polygon= (n-2)×180°**

**1440° = (n-2)×180°**

**∴Number of sides(n)= 10 ans}**

**5. If for ∆PQR and ∆MNO, the correspondence RPQ ↔NMO gives a congruence, then which of the following is not true?**

A. PQ= MO

**B. RP= MN**

C. PR= MN

D. RQ= NO

**(RP=NM is correct)**

**6. The base of an isosceles ∆ABC is 48 cm and its area is 168 cm2. Find its two similar sides:**

A. 8 cm

B. 16 cm

**C. 25 cm**

D. 20 cm

**{Ar. of an isosceles ∆ = b/4 ×(4a2-b2)1/2**

**168= 48/4 ×(4a2- 482)1/2**

**∴a2= 625; a= 25 cm }**

**7. The mean of 10 numbers is 0. If 72 and -12 are included in these numbers, the new mean will be :**

**A. 5**

B. 70

C. 16

D. 0

**{(x1+x2+……+x10)/10=0 ;i.e (x1+x2+……+x10) = 0**

**((x1+x2+……+x10)+ 72-12)/12**

**∴0+60/12 ; 5 ans}**

**8. PQRS is a square with PQ= (x+16) cm and QR= (3x) cm. The perimeter of the square is :**

A. 16

**B. 32**

C. 18

D. 28

**{Since all sides of a square are equal.**

**∴x+16= 3x i.e x=8 cm**

**Perimeter= 4×side i.e 32 cm }**

**9. The number of integers less than -5 but greater than -11 is :**

A. 6

B. 7

C. 4

**D. 5**

**( -6,-7,-8,-9,-10 are 5 integers)**

**10. The reciprocal of (-6/15) × (-20/24) is :**

A. (1/3)

**B. (3/1)**

C. (4/5)

D. (3/5)

**{(-6/15) × (-20/24) = (1/3)**

**∴reciprocal=(3/1) ans }**