Model Aptitude questions and answers for placement - Set 15

ANSWER: 13

Explanation:
Given:
12 & 3 @ 2 # 32 $ 4 = ?
By substituting appropriate mathematical symbols, we get,
12 + 3 * 2 – 32/4 = ?
12 + 3 * 2 – 8 = ?
12 + 6 – 8 = ?
18 – 8 = 10

ANSWER: 21.5 years

Explanation:
Let the ages of husband and wife at the time of their 20th wedding anniversary be X years and Y years respectively and X > Y.
Their combined age = (X + Y) years.
The ages of both husband and wife at the time of wedding will be (X – 20) years and (Y – 20) years respectively.
Their combined age = (X – 20) + (Y – 20)
= (X + Y – 40) Years
By first information, we have
(X + Y) = 2( X + Y – 40)
X + Y = 2X + 2Y - 80
Therefore, X + Y = 80-------A
and by second information, we have
X – Y =3 ----------------------B
Solving A and B, we get X = 41.5 years
Therefore, the age of husband at the time of their 20th wedding anniversary X = 41.5 years
Age at the time of marriage = 41.5 years – 20 years = 21.5 years.

ANSWER: (A – B)² + 4AB

Explanation:
1) (A + B)² – 4AB = A² + 2AB + B² - 4AB = A² + B² - 2AB
2) (A – B)² + 4AB = A² – 2AB + B² + 4AB = A²+ B² + 2AB
3) A² +B² – 4AB + 2AB = A² + B² - 2AB
4) A² – B² + 2B(B – A) = A² – B² + 2B² – 2AB = A² + B² – 2AB

Therefore, (1) = (3) = (4) ≠ (2)
Therefore, expression (2) is wrong

ANSWER: Rs. 20.00

Explanation:

Rice variety	Quantity(Kg)	Rate(Rs/Kg)	Cost(in Rs)
First	10	15	150
Second	25	14	350
Total			500

By 40% profit on cost price,
Selling price of mixture = 140/100 * 500
= Rs. 700
Therefore, selling price per kg of mixture = 700/35 = Rs. 20

ANSWER: 1, 4, 2, 5, 3

Explanation:
The given words when arranged in the order of various events as they occur in man's life, the sequence is : Birth, School, College, Employment, Marriage.
Sequence is : 1, 4, 2, 5, 3.

ANSWER: 19

Explanation:
Let the two numbers be A and B, here A > B
AB = 266
B = 266/A -----------------(I)
Given,
A – B = 5 ----------- (II)
Substitute from (I) in (II), we get
A – 266/A = 5
A² – 5A + 266 = 0
(A – 19)(A – 14) = 0
Therefore , A = 19 or A = 14
Hence, bigger number = A = 19

ANSWER: Rs. 181.81

Explanation:
Selling price of P = Cost price of Q
Selling Price of Q = Cost price of R = Rs. 250 ….. Given
Q sold it to R with 25 % profit.
Cost price of Q = 100/125 * 250/1 = Rs. 200 = Selling price of P.
P sold it to Q with 10 % profit.
Cost price of P = 100 / 110 * 200 / 1 = Rs. 181.81

ANSWER: 3657

Explanation:
Given :
Letter : T I E R B A N
Code : 7 1 6 3 2 4 5
Thus, the code for RENT is 3657.

ANSWER: Rs. 6195

Explanation:
Labeled price = Rs. 7,500
By giving 5% discount on labeled price, the selling price is
= 95 / 100 * 7500 = Rs. 7125
By earning 15% profit on the selling of price Rs. 7125 the cost price is
= 100 / 115 * 7125 = Rs. 6195.65
Therefore, approximate cost is 6195.65

ANSWER: 166 m

Explanation:
Given :
Speed of fast train = 50 kmph.
Speed of slow train = 20 kmph.
The driver in the slower train is moving with the speed of the slower train which is 20 kmph.
The faster train will pass the driver when it has gained a distance. Distance gained by faster train
in 1 hour = (50 – 20) = 30 km
= 8.33 m/sec
Distance gained by faster train in 20 sec = 20 * 8.33 = 166.6 m.
Therefore, Length of faster train = 166.6 m.

ANSWER: Rs. 10000

Explanation:
Profits of A and B are distributed in the same ratio of their investment and period of investments.
Investment of A/ Investment of B = Profit of A/ Profit of B = 6000/3000
(40000*1/2)/X*1 = 2/1
Therefore, X = B's investment amount = Rs. 10,000.

ANSWER: Rs. 5200

Explanation:
Principal = Rs. 4000, Amount = Principal + SI = Rs. 4600
SI = Amount – Principal = 4600 – 4000 = Rs. 600
Given : Principal = Rs. 4000, Time = T = 5 years and SI = Rs. 600
SI =PRT/100
600 = 4000 *R * 5/100
600 = 200R
R = 3 % p.a.
Now the new interest rate is = 3% + 3% = 6 % p.a.
SI = PRT/ 100 = 4000 * 6 * 5/ 100 = Rs. 1200
Amount = Principal + SI
= 4000 + 1200
= 5200