A. 24

B. 29

C. 42

D. 30

E. None of these

Solution: 30

Explanation: 2, 6, 12, 20 1 x 2, 2 x 3, 3 x 4, 4 x 5, (5 x 6) Answer is 30. Product of two consecutive natural numbers

A. 20%

B. 17%

C. 19%

D. 21%

E. None of the above

Solution: B

Explanation:

Given
Let Cost Price = 100 Rs

Marked price = 30 % more than Cost Price

= 30 % of C.P + C.P

= ( ( 30 / 100 ) x 100 ) + 100

= 30 + 100

= 130 Rs

Given Discount = 10 % of marked price

= ( 10 / 100 ) x 130

= 13 Rs

Selling Price = Marked Price - Discount

= 130 - 13

a) 50

b) 100

c) 120

d) 200

Solution: 200

Explanation: Possible ways in which he can attempt 6 questions are

5C4*5C2 = 50

5C3*5C3 = 100

5C2*5C4 = 50

50+100+50 = 200

A. 84

B. 128

C. 120

D. 274

Solution: D

Explanation: Let the two numbers be x and y ,
HCF = 24

LCM = 1344

HCF × LCM = x×y

24×1344 = xy

xy = 32256

(x-y) = 80

x = 80+y

(80+y)×y = 32256

y^2 +80y -32256 = 0

y^2 +224y -144y -32256 = 0

y(y+224) -144(y+224) =0

y = 114 & -224

x = 80+114

x = 194

x+y = 194+80 = 274

A. 9000

B. 10000

C. 9500

D. 10500

Solution: B

Explanation: Given Compound Interest = Rs.2100

Rate of Interest ( r ) = 10 % p.a

No.of years ( n ) = 2

To find , amount received at the beginning => principal

Compound Interest = P [ 1 + ( r / 100 )n- 1 ]

=> 2100 = P[ 1 + ( 10 / 100 )2- 1 ]

=> 2100 = P[ 1 + ( 1 / 10 )2- 1 ]

=> 2100 = P[ ( 11 / 10 )2- 1 ]

=> 2100 = P[ ( 121 / 100 ) - 1 ]

=> 2100 = P[ 21 / 100 ]

=> 2100 x ( 100 / 21 ) = P

Principal = Rs. 10000

Amount invested at the beginning = Rs. 10000

A. 12

B. 1/4

C. 0.155

D. None of these

Solution: B

Explanation:

Let be the 4% of a is 4a/100.

Since this equals 8, we have 4a/100=8.

Solving for a yields a=8×(100/4)=200.

Also, 8% of b equals 8b/100, and this equals 4.

Hence, we have (8/100)×b=4.

Solving for b yields b = 50.

Now, c=b/a=50/200=1/4.

A. 10 days

B. 14 days

C. 15 days

D. 9 days

Solution: C

Amount of work P can do in 1 day = 1/20

Amount of work Q can do in 1 day = 1/30

Amount of work R can do in 1 day = 1/60

P is working alone and every third day Q and R is helping him

Work completed in every three days = 2 × (1/20) + (1/20 + 1/30 + 1/60) = 1/5

So work completed in 15 days = 5 × 1/5 = 1

That is, the work will be done in 15 days

A. 15

B. 10

C. 20

D. 25

Solution: A

Explanation: Manu, Manju and Maya together can do the work = 1/90 + 1/30 + 1/45 = 1+3+2 /90= 1/15 So, They will complete the work in 15 days.

A. 20%

B. 25%

C. 33 1/3%

D. 30%

Solution: C

A. Rs. 510

B. Rs. 530

C. Rs. 503

D. Rs. 519

E. None of these

Answer (A)

Explanation

The selling price of the article is, Selling price = Cost Price + Selling price * (Percent
Profit/100)

Selling Price = 480 + (6.25/100)*480 = 510

Hence, the correct option is option A.

A. Rs 935

B. Rs 905

C. Rs 945

D. Rs 975

E. None of these

Answer (C)

Explanation
Let the CP be the Cost Price and SP be Selling Price.

Profit = SP – CP = 996 – CP

Loss = CP -SP = CP – 894

Now as Profit = Loss

2*CP = 1890

CP =945

Hence, the cost price is 945.

a) 9 years

b) 7 years

c) 5 years

d) 3 years

e) None of these

Answer (D)

Explanation
Let the ages of Nishi and Vinnee be x and y.

Now, as per given conditions,

(x/y) = (6/5) i.e 5x=6y

after 9 years,

(x+9)/(y+9) = 9/8 i.e 8x-9y=9

After solving we get x = 18 and y = 15.

Differences in the ages = 18-15=3

Hence, option D is correct.

a) 3478

b) 1418

c) 5673

d) 2147

e)1077

Answer (E)

Explanation

9070 – 15^3 = 5675 , 5675 – 13^3 = 3478 , 3478 – 11^3 = 2147 , 2147 – 9^3 = 1418 ,
1418 –
7^3 = 1075 ≠ 1077 , 1075 – 5^3 = 950

A. Rs. 22 lakh

B. Rs. 18.25 lakh

C. Rs. 18 lakh

D. Rs. 23.25 lakh

E. None of these

Answer (C)

Explanation
The total amount distributed among officers = 45*25000= 11,25,000

If the total amount is x, then this amount is (5/8)x=11,25,000

Hence, x=18,00,000

a) 130

b) 134

c) 132

d) 135

Answer : 132

a) 75 miles per hour

b) 70 miles per hour

c) 65 miles per hour

d) 80 miles per hour

Answer : 75 miles per hour

a) 10 days

b) 20 days

c) 17 days

d) 15 days

Answer : 20 days.

a) She lost Rs 500.67

b) She lost Rs 666.67

c) She gain Rs 666.67

d) She gain Rs 500.67

Answer : She lost Rs 666.67

a) 15900

b) 12700

c) 19990

d) 18400

Answer : 15900

a)11am

b)11pm

c)5am

d)4pm

Answer : 5am

a) 45

b) 23

c) 87

d) 47

Answer : 23

a) 35 Rs. and 65 paise.

b) 32 Rs. and 63 paise.

c) 30 Rs. and 65 paise.

d) 31 Rs. and 63 paise.

Answer : 31 Rs and 63 paise.

a) 100 days

b) 50days

c) 25days

d) 20 days

Answer : 50 days

a) 18

b) 20

c) 21

d) 19

Answer : 18

(i) A lorry which has started at 6.00 am will cross how many lorries.

(ii) A lorry which had started at 6.00pm will cross how many lorries.

a) 12 lorries and 14 lorries

b) 10 lorries and 14 lorries

c) 14 lorries and 10 lorries

d) 14 lorries and 12 lorries

Answer : 10 lorries and 14 lorries

a) 1700 men

b) 1800 men

c) 2000 men

d) 2500 men

Answer : 1700 men