Q1. Starting from his house one day, a student walks with a speed of 212 kmph And reaches his school 6 minutes late. Next day he increases his speed by 1KMPH and reaches his school six minutes early. How far is the school from the house? 

A.1 km

B.112

C.134

D.2 Km

EXPLANATION

^(C)

^{Assume the distance to be X kilometer when he travels at the speed of 2.5 kilometer per hour. He is six minutes late.}

^{When he travels at the speed of 3.5 kilometer per hour, he is six minutes early.}

^{x2.5–x3.5=12/60}

^2x/5-2x=1/5

^{4x/35=1/5x=7/4=134km.}

Q2. The number of students studying physics chemistry and zoology in a college were in the ratios of 4:3:5 respectively. If the number in these three disciplines increased by 50% 25% and 10% respectively, in the next year, then what was the new respective ratio?

A.24:15:22

B.18:11:13

C.24:13:17

D.CANNOT BE DETERMINED.

EXPLANATION

^A)

^{Let the number of students in physics chemistry and zoology be 4X3X and 5X respectively,}

^{New number of physics student= 4x* (1=50/100)=6x}

New number of chemistry student=3x*(1+25/100)=15x/4

New number of zoology student=5x*(1+10/100)=11x/2

The required ratio is 6:15/4:11/2

Multiplying all by 4=24:15:22.

Q3. A, B and C, a startup business, each investing rs. 20,000. After five months, A withdraw 5000. B rupees 4000 and C invested rupees 6000 more. At the end of the year, a total profit of rs 69900 was recorded. What is the share of B? 

1. Rs 20500
2. Rs 21200
3. Rs 28200
4. Rs 27300

EXPLANATION

(B) The profit fraction will be divided based on the amount spent at the investment time. The investments are

A-(20000*5)+(15000*7)=205000

B-(20000*5)+(16000*7)=212000

C-(20000*5)+(26000*7)=282000

Profit share of B= 212000/205000+212000+282000=212/699

Share of ab=69900*212/699=21200.

Q4. A difference between two numbers is 1365. when larger number is divided by the smaller one, the quotient is 6, and the remainder is 15. What is the smaller number? 

1. 240
2. 360
3. 270
4. 295

EXPLANATION

(C)

Let the smsller number be denoted by x.

The bigger number can be 6xthe bigger number can be 6x + 15

Bigger number – smaller number =(6x+15) – x

5x+15=1365

5x=1350

X=270.

Q5. Given questions below is followed by three statements. Study the questions and statements, identify which option is necessary to answer the question. What is the principal sum?

I. The interest amount after 30 months is half the interest amount after five years.

II. The sum amounts to rs 750 in a five years at simple interest rate.

III. The rate of interest is 8% p.a.

1. One and three only.
2. Two and three only.
3. One and two only.
4. One and three only or two and three only.

EXPLANATION

(B)

A= P(1+ TR/100) 

From 2 and 3, A=750 T=5 and R=8