Mental
Ability
1. The
average age of 10 students is 15 years if the age of a teacher is included
their average becomes 18 years, What is the age of the teacher?
(a) 48 years (b) 49 years (c) 50 years (d) 52 years
2. Radha
was 20 years old when her first son was born. If product of their ages now is
189. Find the present ages of Radha and
her son?
(a) 21 & 6 (b) 22 & 5 (c) 27 & 7 (d) 23 & 4
3. A watch
loses x minutes in every Y hours. At this rate how many will the watch lose in one week?
(a) (b) (c) (d)
4. What is
a two digits number whose square root is equal to the sum of its digits?
(a) 64 (b) 81 (c) 49 (d)
36
5. The
sides of a rectangle are whole numbers. What must be their length and breadth
for the perimeter and area to be numerically equal?
(a) 4 & 4 (b) 6 & 3 (c) either 4 & 4 or 6 & 3 (d) None
6. On a
bicycle race in the first stage I rode half of the overall distance. Stage two,
I cycled half of the remaining distance plus 20 meters. Stage three, I covered
three quarters of the remaining distance. Stage four, I completed one third of
the remaining distance plus 20 meters, Stage five I completed with 10 m. How
far did bicycled in total?
(a) 900m (b) 800m (c) 600m (d) 200m
7. A man
buys 5 cigarettes a day and use them for 25 days. He keeps the stubs. For each
5 stubs he makes a new cigarette once. How many does he smoke during this
period?
(a) 156 (b) 157 (c) 166 (d) 176
8. 12
people carry 12 loaves of bread each man carries two loaves each women carries
a half and each child holds a quarter. How many men, women and children are
there?
(a) 5, 1, 6, (b) 7, 2, 3 (c) 4, 4,4 (d) 6, 1, 8
9. We have
to find the house of my friends Chun and
Buddhi who live in the different house in
Algebra Avenue. I can't remember their house number but I remember that
they are the reverse of each other sum
of their house number is a perfect square and their different is a perfect
cube. Chum lives in the smaller house number what is the house number of
Buddhi.
(a) 36 & 63 (b)56
& 65 (c) 34 & 43 (d) 47 & 74
10. Baikuntha
set out in the marathon race travels at 4.9 kilometer per hour. Rajendra sets
out on this track 3 hours later. He travels 10 kilometer in the first hour, 9
kilometers in the second hour, 8 kilometers in third and so on the race is 49
kilometers long, who is the winner and by how long?
(a) Rajendra 14.7 km (b) Baikuntha 14 (c) Rajendra 10 km (d) Baikuntha 15 km
11. If you
reveres the digits in Ganga's you will get Laxmi's age the sum of their ages
equals 11 times the difference between them. Ganga is older than Laxmi. What
are their ages?
(a) 32 & 23 (b) 54 & 45 (c) 12 &21 (d) 43 & 34
12. Among 4
brother s in a family Ram is older than Hari but Hari is younger than shyam
also Shyam is younger than Mahesh tell the youngest brother?
(a) Ram (b) Hair (c) Shyam (d) Mahesh
13. A
circular track is 1000 yards in circumference. Cyclists, A, B, and C start at
the same place and time and race around the track at the following rates per
minute: A at 700 yards, B at 800 yards
and C at 900 yards. What is the least number of minutes it must take for
all three to be together again?
(a) 11m in (b)
10 min (c)
14 min (d)
15 min
14. What is
the sum of the series?
1 + + + + + ..........
(a)
3 (b) 2 (c)
4 (d)
5
15. Janak's
average mark after 8 result was 54. This dropped to 49 when he received his
ninth result, which was Math, what was
his Math marks?
(a) 278 (b) 9 (c) 18 (d) 36
16. If the
length of the sides of a triangle are
2m, m2 – 1 and m2 + 1 what type of triangle is it?
(a) Equilateral triangle (b) Isosceles triangle
(c) Right angled triangle (d) Scalene
triangle
17. What is
the area of given sector?
OA
= 7 cm
AB
= 7 cm
(a) 25cm2 (b) 26cm2 (c) 27cm2 (d)
24.5 cm2
18. If today
is day what is yesterday's day after tomorrow?
(a) Friday (b) Tuesday (c) Saturday (d) Sunday
19. Kamala's
house is mile away from Rupa's house. Both of them begin jogging towards the
other one's house. Rupa jogs at 5 miles an hour while kamala jogs at 6 miles an
hour. After 6 minute who is the closest to Ruppa's house?
(a) Kamala (b) Rupa (c) Equal (d) None
20. The length
of the diagonal of square is equal to the length of a median of an equilateral
triangle. What is the ratio of their areas?
(a) 1:2 (b) 3:2 (c) 1 (d) :2
21. Ina party
everyone shook hand with each other at once and there were altogether 351
handshakes. How many people were there?
(a) 28 (b) 27 (c) 29 (d) 30
22. How much
is 'a percent of b divides by b percent of a?
(a) 1 (b) 2 (c) 3 (d) 4
23. What is
the number which multiplied by its
square gives 729?
(a) 3 (b) 6 (c) 9 (d)
12
24. Circle
the odd man out. 49, 27, 14, 63, 84, 21, 35
(a) 14 (b) 63 (c) 49 (d) 27
25. 16
players enter a chess tournament. If there can be no draws how many games must
be played to decide the winner, if each player can be eliminated by one loss?
(a) 15 (b) 16 (c) 17 (d) 18
26. In a
hutting camp there were dogs and men. If there were altogether 11 heads and 38
legs, how many dogs were there?
(a) 11 dogs (b) 7 dogs (c) 8 dogs (d) 10 dogs
27. There are
two palm three one opposite the other on each
side of river. One is 30 m high and the other is 20m. The distance
between the trees is 50 m. A birds is
perched on the top of each tree. All of a sudden the birds see a fish
come to the surface of the river between the
trees. They dive at the same time and reach the fish at the same time. Find the distance between
the foot of the taller tree and the fish?
(a) 31 m (b) 20m (c) 32m (d) 33m
28. 7200 is
not a perfect square number. Find the least number by which it is divided so
that the result will be a perfect square ?
(a) 3 (b) 2 (c) 4 (d) 5
29. How
many whole apples will be required for
100 children to have each child one third of an apple?
(a) 34 (b) 36 (c) 38 (d) 40
30. On
Thursday, 20 of the 25 students in a chemistry class took a test and their
average was 80. On Friday, the other 5
students took the test and their average was 90. What was the average for the
entire class?
(a) 86 (b) 84 (c) 85 (d) 88
31. To what
percent of 60 is of 5 equal?
(a) 0.5% (b) (c) 1% (d) 3%
32. Large
fresh water reservoir has two types of drainage system, small pipes and large 6
large pipes on their own can drain the reservoir in 12 hours. 3 Large pipes and
k9 small pipes at the same time can
drain the reservoir in 8 hours. How long will 5 small pipes on their own take
to drain the reservoir?
(a) 21.6 hrs (b) 20 hrs (c) 24 hrs (d)
30 hrs
33. During a
recent police investigation, chief inspector stone was interviewing give local
villaind to try and identify who stole Mrs. Sharma's cake from her kitchen.
Below is the summary of their statements.
Arnold : It wasn't Edward.
It
was Brain
Brain : It wasn't Charlie.
It
wasn't Edward.
Charlie
: It wasn't Edward
It
wasn't Arnold.
Derek : It was Charlie
It
wasn't Brain
Edward : It was Derek.
It
wasn't Arnold.
If each
of then told one lie who stole the cake?
(a) Arnold (b) Brain (c)
Charlie (d) Derek
34. Willie is
older than Donald, Susan is younger that Willie, but older than Jane, Tom is
younger than Jane, but older than Donald. Jane is older than Donald but younger
than Susan. Tom is not youngest, Susan
is not the oldest, Tom is younger than
Susan and Willie. Who is youngest?
(a) Susan (b) Jane (c) Tom (d) Donald
35. The
product of the ages of 3 brothers is 175. Two are twins. How old is the other
one? keep it in mind that ages are in whole number?
(a) 7 (b) 8 (c) 9 (d) 14
36. In an
exam there were questions. Out of first
20 questions. Amol answered 15 questions correctly. He answered correctly one
third of the remaining questions. If the marks for each questions is same and
Amol scored 50% marks what is the value of n?
(a) 40 (b) 50 (c) 60 (d) 70
37. If x is
20% more than that of z and y is 50%
more than that of z what percent of y is
x?
(a) 80% (b) 90% (c) 70% (d) 60%
38. Ashok
moves 30m North and then turn to left and moves 40 m ahead. After that he turns
to left and moves 30m ahead. From that place he turn left again and moves 50m ahead and stops. How far is he from the starting point?
(a) 20m (b) 15m (c) 12m (d) 10m
39. Pramila
remembers that the birth day of her
father is in between 13th and 16th Manshir while her
brother Prabin remembers that the birth day of
his father is in between 14th and 18th Manashir.
Which date is his father's birth day?
(a) 20th Manshir (b) 10
th Manshir (c) 15th Manshir (d) 18th
Manshir
40. How many
seven (7) are there in the given
sequence in which there is 5 before it but there is not 3 after it?
375745397857778971574375738
(a) 3 (b) 4 (c)
5 (d)
6
41. A lizard
climbs up a wall by 8 meters in a day time and falls down 4m by night. How many
days will it take to reach the top of 32 meter tall wall?
(a) 7 days (b)
6 days (c)
5 days (d)
8 days
42. The
position Raj is 7th from front and 20th from the last.
Suman lies between Raj and the last student Pooja, what is the position is Suman?
(a) 16 (b)
17 (c)
18 (d)
19
43. Sanjaya
Thapa is a young captain of 29 years old. 9 years ago he was caddate and he was
twice as old as the pradip. What is the present age of Pradip?
(a) 20 years (b)
19 years (c)
21 years (d)
22 years
44. Twenty
children were sharing equally the cost of a present for their teacher. When 4
of the children decide not to contribute
each of the other children had to pay Rs. 1. 50 more. How much does the present
cost?
(a) 100 (b) 120 (c) 150 (d) 80
45. There are
250 people lined up outside a theater
Jiwan is the 25th person from the front and, Jill is the 125th
person from the front what is the number
if people between Jiwan & Jill?
(a) 100 (b)
98 (c)
101 (d)
99
46. 60% of
60% of 600 = ?
(a) 36 (b)
216 (c)
600 (d)
60
47. If an
object is moving at a speed of 36 kilometers per hour. How many meters does it
travel in one second?
(a) 10 m (b)
15 m (c)
20 m (d)
30 m
48. On a
certain French French American committee, of the members
are men and of the men are
Americans if of the
committee members are French, what fraction of the members are American men?
(a)
(b) (c) (d) None
49. If the
product of 4 consecutive integers is equal to of them, what is the largest
possible value of one of the integers?
(a) 3 (b) 4 (c) 6 (d) 24
50. If 45% of
the students as a college are male what is the ratio of male students of female
students?
(a) 11 : 9 (b) 9 : 11 (c)
9 : 20 (d)
11 : 20
51. A jar
contain only red, white and blue marbles. The number of red marbles is of the number of white ones, and the number of white
ones is of the number
of blue ones. If there are 470 marbles in all, many of them are blue?
(a) 100 (b) 200 (c) 300 (d)
400
52. If it is
now June, what mouth will it be 400 months from now?
(a) October (b)
November (c)
December (d)
September
53. Nicole
and Aviva bent hers into a square, which closed figure has more area?
(a) Circle (b) Square (c) Equal (d) None
54. There was
a group of girls playing bicycles. They
were riding in a line/ One the line there were 4 girls in front of girls
behind a girl in the middle. How many
girls were there together?
(a) 5 girls (b) 6 girls (c) 7 girls (d)
8 girls
55. Jagat has
Rs. 700. If the amount is the value of the coins of 25 paisa, 50 paisa and Rs.
1in equal number each find the number of each coin?
(a) 200 (b)
400 (c)
500 (d)
600
56. In
Kamal's family there are some brothers and sister. Each boy has equal number
brothers and sister. Each girl has the double number of brother than
the sister. How many boys and girls are there?
(a) 4 boys and 3 girls (b) 3
boys and 4 girls (c) 5 boys and 4 girls (d) None
57. Tell a
two digits numbers which is 3 times the sum
of its digits.
(a) 27 (b)
36 (c) 54 (d)
18
58. A test
tube full of bacteria doubles itself in
every minute. If it was full in one hour, in what time was it half full?
(a) 30 minutes (b)
59 minutes (c) 58 minutes (d) None
59. In an
objective teat 1 mark is awarded for each correct answer and marks is
deducted for each wrong answer. There were altogether 30 questions and a
students scored 'O' marks. How many were
correct and how many were wrong answer there?
(a) 20 (b)
10 (c) 25 (d)
30
60. Now Ram
is 30 years what was his age 10 years ago?
(a) 10 (b)
20 (c)
30 (d)
None
61. A train
moves with a speed of 108 kmph. Its speed in meters per second is:
(a) 10.8 (b) 18 (c) 30 (d) 38.8
62. A speed
of 14 meters per second is the same as :
(a) 28km/ hr (b) 46.6 km/hr (c) 50.4 km/hr (d) 70km/hr
63. In what
time will a train 100 meters long cross an electric pole, if its speed be 144
km/hr?
(a) 2.5 seconds (b) 4.25 seconds (c) 5 seconds (d) 12.5 seconds
64. A train
280 m long, running with a speed of 63
km/hr will pass a tree in:
(a) 15 sec (b) 16 sec (c) 18 sec (d) 20sec
65. How long
does a train 110 meters long running at the speed of 72 km/hr take to cross a
bridge 132 meters in length?
(a) 9.8 sec (b) 12.1 sec (c) 12.42 sec (d) 14.3 sec
66. A train
360 m long is running at a speed of 45 km/hr. In what time will it pass a
bridge 140 m long?
(a) 40 sec (b) 42 sec (c) 45 sec (d) 48 sec
67. A train
travelling at a speed of 75 mph enters a tunnel 3 miles long. The train is mile long. How
long does it take for the train to pass through the tunnel from the moment the
front enters to the moment the rear emerges?
(a) 2.5 min (b) 3 min (c) 3.2 min (d) 3.5 min
68. A train
running at , the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
(a) 120 meters (b) 180 meters (c) 324 meters
(d) Cannot be
determined (e) None of these
69. A train
132 m long passes a telegraph pole in 6
seconds. find the speed of the train.
(a) 70 km /hr (b) 72 km/hr (c) 79.2 km/hr (d) 80 km/hr
70. A train
covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a
telegraph post, then the length of the train is :
(a) 90 m (b) 100 m (c) 120 m (d) 140 m
Answer
with Explanation
|
S.N. |
Answer |
Solution |
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|
1. |
(a) |
11 × 18 – 10 × 15 198 – 150 48 |
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|
2. |
(c) |
Father = 27 27
× 7 = 189 Son = 7 27
– 7 = 20 |
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|
3. |
(c) |
In y hr hr late 1 hr 7 × 24 hr × 7 × 24 = |
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|
4. |
(b) |
81 = 8 + 1 = 92 = 81 |
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|
5. |
(c) |
l +
b = 4 × 4 = 16, p
= 4l = 4 × 4 = 16 l + b = 6
× 3 = 18 p = 2 (l + b)
= 2 (6 + 3) = 18 |
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|
6. |
(b) |
800 m = 400 + 220 + 135 + 35 + 10 = 800 |
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|
7. |
(a) |
25 × 5 = 125 + 25 = 150 + 5 = 155 + 1 = 156 |
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|
8 |
(a) |
5 × 2 = 10, 1 × , 6 × 10 + + 1 = 12 |
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|
9. |
(d) |
47 + 74 = 121 = 112 74 – 47 = 27 = 32 |
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|
10. |
(a) |
4.9 × 10 = 49 km = 10 hours 10 + 9 + 8 + 7 + 6 + 5 + 4 = 49 = 7 hours 4.9 × 3 = 14.7 km Rajendra |
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|
11. |
(b) |
54 & 45 54 + 45 = 99 which is (54 – 45) × 11 = 99 |
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|
12. |
(b) |
Ram > Mahesh > Shyam > Hari |
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|
13. |
(b) |
 |
1000 m yard circumference A at 700 yards = 10 × 700 = 7000 m B at 800 yards = 10 × 800 = 8000 m C at 900 yards = 10 × 900 = 9000 m All are divisible by 1000 so 10 minutes. |
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|
14. |
(b) |
a = 1 r = = = Sn= = = = 2 |
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|
15. |
(b) |
9 × 49 – 8 × 54
= 441 – 432 = 9 |
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|
16. |
(c) |
h2
= p2 + b2 or, (m2
+ 1)2 = (2m)2 + (m2 – 1)2 or, m4
+ 2m2 + 1 = 4m2 + m4 – 2m2
+ 1 or, m4
+ 2m2 + 1 = m4 + 2m2 + 1 |
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|
17. |
(d) |
Area of sectors =
× l × r = × 7 × 7 = 24.5 m2 |
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|
18. |
(c) |
 |
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|
19. |
(a) |
 |
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|
20. |
(d) |
Area of equilateral triangles = a2 Area of Square = l2 |
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|
21. |
(b) |
= 351 = |
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|
22. |
(a) |
= 1 |
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|
23. |
(c) |
9 × (81) = 729 = 9 × 92 |
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|
24. |
(d) |
Which is not exacltly divisible by 7 |
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|
25. |
(a) |
(n – 1) = 16 – 1 = 15 |
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|
26. |
(c) |
|
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|
27. |
(b) |
 |
x = y (202 + 302) = 302 +
202 20 m |
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|
28. |
(b) |
7200 ÷ 2 = 3600 which is perfect squares. |
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|
29. |
(a) |
100 × = 33.33 that means 34. |
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|
30. |
(a) |
= = = 86 |
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|
31. |
(a) |
× 60 = × 5 x = x = – = 0.5% |
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|
32. |
(a) |
9 small pipes 12 hrs 1 small pipes 12 × 9 hrs 5 small pipes = = 21.6 hrs |
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|
33. |
(d) |
Derek whose witness are less than others. |
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|
34. |
(d) |
W > S > J > T > D So Donald is the youngest |
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|
35. |
(a) |
 |
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|
36. |
(c) |
60 – 15 = 45 Which
is divisible by 3. |
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|
37. |
(a) |
z = 100 z =
100 x = 120 y =
150 % y = × 100 = 80% |
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|
38. |
(d) |
 |
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|
39. |
(c) |
15th mangsir is common birthday both of
them. |
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|
40. |
(b) |
There are 4, 7s |
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|
41. |
(a) |
T = = = = 7 |
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|
42. |
(b) |
|
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43. |
(b) |
29 – 9 = 20 =10 + 9 = 19 |
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44. |
(b) |
|
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|
45. |
(d) |
125 – 25 = 100 – 1 = 99 |
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|
46. |
(b) |
600 × × = 216 |
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|
47. |
(a) |
36 km/hr = = 10 m |
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|
48. |
(a) |
|
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49. |
(a) |
0 × 1 × 2 × 3 = 0 which is one of them largest
number is 3. |
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|
50. |
(b) |
= = 9 : 11 |
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|
51. |
(b) |
Blue x White
Red
= x + + = 470 = 470 47 x =
470 × 20 x = 200 |
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|
52. |
(a) |
 |
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53. |
(a) |
Circle |
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54. |
(a) |
5 girls |
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55. |
(b) |
+ + = 700 |
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|
56. |
(a) |
 |
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57. |
(a) |
2 + 7 = 9 × 3 = 27 |
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|
58. |
(b) |
59 minutes |
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|
59. |
(a) |
Total Questions 0 marks |
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|
60. |
(b) |
(30 – 10) = 20 |
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|
61. |
(c) |
108 kmph = m /sec = 30
m/sec. |
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|
62. |
(c) |
14m/sec = km/hr '= 50.4 km/hr. |
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|
63. |
(a) |
Speed = m /sec = 40m/sec. Time taken = sec = 2.5
sec. |
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|
64. |
(b) |
Speed = m/sec = m/sec. Time taken = sec = 16 sec.
|
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|
65. |
(b) |
Speed = m/ sec = 20
m/sec. Total distance covered = (110 + 132) m = 242m. \ Required time = sec = 12.1
sec. |
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|
66. |
(a) |
Speed = m/sec = m/sec. Total distance covered = (360 + 140) m = 500 m. \ Required time = sec = 40 sec.
|
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|
67. |
(b) |
Total distance covered = miles = miles. \ Time taken = hrs = hrs = min. =
3min. |
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|
68. |
(e) |
Speed = m/sec = m /sec. Length of the train = (Speed × Time) =
m = 150m. |
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|
69. |
(c) |
Speed = m /sec = km/hr = 79.2
km/hr. |
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|
70. |
(c) |
Speed = km/hr = m/sec = 20
m/sec Length of the train = (speed × Time) = (20 × 6) m =
120 m. |
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