Q1. The ratio of the number of students studying in Schools A, B and C is 4 : 8 : 3 respectively. If the number of students studying in each of the schools is increased by 80%, 20% and 60% respectively, what will be the new ratio of the number of students in Schools A, B and C.
(a) 8 : 3 : 4
(b) 4 : 2 : 3
(c) 2 : 3 : 4
(d) Can’t say
(e) None of these
EXPLANATION
Answer: (e)
Required ratio = (4*180) : (8 * 120) : (3 * 160)
= 3 : 4 : 2
Q2. A person covered some distance in 24 hours. He covered half the distance by rail @ 75 km per hour and the rest by car @ 45 km/hr. The total distance covered by him was
(a) 900 km
(b) 1350 km
(c) 675 km
(d) 2700 km
(e) None of these
EXPLANATION
Answer: (b)
Let the total distance be 2D. Now,
D/75+D/45=24
D = 675
Total distance = 2 * 675 = 1350
Q3. A person sold 160 mangoes for the C.P. of 200 mangoes. His gain percent is
(a) 10%
(b) 15%
(c) 12½%
(d) 25%
(e) None of these
EXPLANATION
Answer: (d)
Let CP of 200 mangoes = 200
SP of 16 mangoes = 200
CP of 16 mangoes = 160
Profit% = (200-160)/160*100=25%
Q4. A shopkeeper sell his articles at cost price but uses 900 gm weight for 1200 gm weight. His profit percentage is
(a) 33.33%
(b) 25%
(c)16.66%
(d) 20%
(e) None of these
EXPLANATION
Answer: (a)
Required profit% = (1200-900)/900*100
=33.33%
Q5. The average of five positive numbers is 64. The average of the first two numbers is 59 and the average of the last two numbers is 63. What is the third number?
(a) 76
(b) 56
(c) 86
(d) Cannot be determined
(e) None of these
EXPLANATION
Answer: (a)
Third Number = 64 + (64 – 59)*2 + (64 – 63)*2 = 76
Q6. Two metro trains each 120m long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster metro train is
a) 75 km/hr.
b) 72km/hr.
c) 45 km/hr.
d) 60 km/hr.
e) 50 km/hr.
EXPLANATION
Answer: (b)
D = 120 + 120 = 240 m., t = 8s.
Speed of slow train = s, faster = 2s
Total speed = 2s + s = 3s
So, 3s = 240/8 = 30 m/s.
V = 30/3 = 10 m/s.
2V = 20 m/s. or 72 km/hr
Q7. Anil father was 32 years of age when he was born, while his mother was 27 years, when his brother three years younger to him was born, what is the difference between age of his parents ?
a) 6 years
b) 5 years
c) 4 years
d) 3 years
e) 8 years
EXPLANATION
Answer: (e)
Let Anil’s age = x, Father age = x + 32
Anil’s mother = (x – 3) + 27
So diff. = ( x + 32) – ( x – 3 + 27) = 8
Q8-9. Directions: Each of the questions given below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question.
Give answer
(a) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
(b) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
(c) If the data in statement I alone or in statement II alone are sufficient to answer the question
(d) If the data in both the statements I and II are not sufficient to answer the question
(e) If the data in both the statements I and II together are necessary to answer the question
8. What is the rate of interest percent compounded per annum?
I. An amount of Rs. 14350 gives a simple interest of Rs. 11480 in 4 yr.
II. The amount doubles itself in 5 yr with simple interest.
EXPLANATION
9. What is the two-digit number?
I. The difference between the two digits of the number is 9.
II. The product of the two digits of the number is 0.
EXPLANATION
Answer: (d)
Sol. From I, x – y = 9
From II, x × y = 0
This can be possible only,
When x = 9
And y = 0
Or, x =0
And y = 9
So, the data in both the statements I and II together are not sufficient to answer the question.
Q10. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
(A) 12 days
(B) 15 days
(C) 16 days
(D) 18 days
(E) None of these
EXPLANATION
