**Q1. Which among the following is true for the given numbers?**

(a) 17/19<21/23<27/19<45/23

(b) 17/19<27/19<21/23<45/23

(c) 21/23<17/19<45/23<27/19

(d) 45/23<27/19<21/23<17/19

**Q2. Find the CI when a sum of Rs 4096 is invested for 2 yrs. at a rate of 25% p.a. if interest is compounded annually?**

(a) Rs 2234

(b) Rs 2304

(c) Rs 2534

(d) Rs 2634

**Q3. 5 years ago, the ratio of ages of Father and son was 7 : 1. If father’s present age is four times his son’s present age. Find present age of son?**

(a) 10 yrs

(b) 12 yrs

(c) 15 yrs

(d) 5 yrs

**Q4. A triangle has a perimeter of 150 m. If two of its sides are equal and the third side is 30 more than the equal sides, what is the length of the third side?**

(a) 40 m

(b) 60 m

(c) 50 m

(d) 70 m

**Q5. A train crosses a pole in 15 seconds. What is the length of the train if the speed of train is 35 m/s?**

(a) 525

(b) 575

(c) 550

(d) 565

**Q6. The average of 9 numbers is 60. The average of first 4 numbers is 70 and average of last 4 numbers is 57. Find the 5th number?**

(a) 32

(b) 35

(c) 30

(d) 38

**Q7. Find the cost of fencing a rectangular field of dimension 30 m × 40 m if cost of fencing is Rs 20 per m?**

(a) Rs 2400

(b) Rs 2500

(c) Rs 2800

(d) Rs 2600

**Q8. There are 80 coins in total, comprising of rupee 1 and 50 paise coins. The value of all coins is Rs 60. How many 50 paise coins are there?**

(a) 45

(b) 35

(c) 32

(d) 40

**Q9. LCM and HCF of two number is 360 and 60 respectively. If one number is 120 then find the another number **

(a) 200

(b) 110

(c) 140

(d) 180

**Q10. 4 chair and 3 table cost 1600 Rs. 8 chairs and 6 tables cost how much ? **

(a) 3200

(b) 4800

(c) 2400

(d) 1200

SOLUTIONS

S1. Ans.(a)

Sol.

17/19<21/23<27/19<45/23

⇒ 0.89 < 0.91 < 1.42 < 1.95

S2. Ans.(b)

Sol.

CI=4096 [1+25/100]^2-4096

=4096 [1+1/4]^2-4096

=4096×5/4×5/4-4096

= 6400 – 4096

= Rs 2304

S3. Ans.(a)

Sol.

Let father’s age be x and son’s age be y.

(x-5)/(y-5)=7

x – 5 = 7y – 35

x – 7y = -30 …(i)

Also, x = 4y …(ii)

Solving (i) & (ii)

x = 40, y = 10

S4. Ans.(d)

Sol.

Let equal sides be ‘a’ m.

ATQ,

a + a +a + 30 = 150

3a = 120

a = 40

So, third side = a + 30 = 70 m

S5. Ans.(a)

Sol.

Length = Speed × Time

= 35 × 15

= 525m

S7. Ans.(c)

Sol.

Cost of fencing = 2(30 + 40) × 20

= 2 × 70 × 20

= Rs 2800

S8. Ans.(d)

Sol.

Let Rs 1 coin be x and 50 paise coin be y

x + y = 80 …(i)

x + y/2 = 60 …(ii)

solving (i) & (ii)

x = 40 and y= 40

S9. Ans.(d)

Sol.

LCM × HCF = I × II

360 × 60 = I × II

360 × 60 = 120 × II

II=(360×60)/120=180

S10. Ans.(a)

Sol.

4 × Chair + 3 × table = 1600

2 × (4 × chair + 3 × table) = 2 × 1600

8 chair + 6 table = 3200