MENTAL ABILITY by devilal barala

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MENTAL ABILITY
Q.1) The missing number in the given figure is:
36 15 ?
30 11 72
22 18 60
(1) 44 (2) 48
(3) 40 (4) 50
Q.2) What is 30% of 450?
(1) 150 (2) 135
(3) 180 (4) 1350
Q.3) Ten men can finish construction of a wall in eight days. How much men are needed to finish the work
in half-a-day?
(1) 80 (2) 100
(3) 120 (4) 160
Q.4) Find the next number in the series.
1, 2, 9, 28, 65, _________.
(1) 126 (2) 182
(3) 196 (4) 245
Q.5) A shop gives 10% discount on the purchase of an item. If paid for in cash immediately, a further
discount of 12% is given. If the original price of the item is Rs. 250, what is the price of the article if a
cash purchase is made?
(1) Rs. 200 (2) Rs. 195
(3) Rs. 198 (4) Rs. 190
Q.6) It was Wednesday on July 15, 1964. What was the day on July 15, 1965?
(1) Thursday (2) Tuesday
(3) Friday (4) None of these
Q.7) The average of x1 x2 x3 and x4 is 16. Half the sum of x2 x3 x4 is 23. What is the value of x1?
(1) 18 (2) 19
(3) 20 (4) 17
Q.8) What is the perimeter of the rectangle ABCD when AD = 3 and BD = 5 (Shown in figure)
A B
D C
3
5
(1) 12 (2) 14
(3) 16 (4) 18
Q.9) If March 1 of a leap year fell three days after Friday, what day of the week will dawn on November
22?
(1) Saturday (2) Sunday
(3) Thursday (4) None of these
Q.10) The radius of the pool in a South Delhi Club is twice the radius of the pool in a North Delhi Club. The
area of the pool in South Delhi Club is how many times the area of pool in the North Delhi Club?
(1) 1
4
(2) 1
2
(3) 2 (4) 4
Q.11) How is 1
2
% expressed as a decimal fraction?
(1) 0.5 (2) 0.05
(3) 0.005 (4) 0.0005
Q.12) A circle is circumscribed around a square (shown in figure). The area of one of the four shaded
portions is equal to 4
7
. The radius of the circle is:
A B
D C
O
(1) 3 (2) 2
(3) 2 (4) 1
2
Q.13) Find the next number in the series : 235, 346, 457……
(1) 578 (2) 568
(3) 468 (4) 558
Q.14) A sofaset carrying a sale-price ticket of Rs. 5,000 is sold at a discount of 4%, thereby the trader earns
a profit of 20%. The trader’s cost price of the sofaset is:
(1) Rs. 4,200 (2) Rs. 4,000
(3) Rs. 3,600 (4) Rs. 3,800
Q.15) A man was traveling on a motorcycle at the speed of 50 km/h for 2 1
2
hours. Then a car full of
youngster overtake him at a speed of 80 km/h. To overtake them he increased his speed to 70 km/h,
but he could not overtake the car even after 2 1
2
hours. How far did he travel in the total time of 4
hours?
(1) 200 km (2) 230 km
(3) 250 km (4) 300 km
Q.16) How is 3
4
expressed as percentage?
(1) 0.75% (2) 60%
(3) 75% (4) 7.5%
Q.17) There are two urns, one containing two white balls and four black balls, the other containing three
white balls and nine black balls. One ball each is drawn out of the two urns. What is the probability of
getting two balls of the same colour?
(1) 7
12
(2) 1
24
(3) 1
12
(4) 1
2
Q.18) The perimeter of a rectangle is 60 metres. If its length is twice its breadth, then its area is:
(1) 200 m2 (2) 180 m2
(3) 160 m2 (4) 220 m2
Q.19) In a class there are two sections A and B. If 10 students of section B shift over to section A, the
strength of A becomes three times the strength of B. But if 10 students shift over from A to B, both A
and B become equal in strength. How many students are there in sections A and B?
(1) 50 and 30 (2) 45 and 15
(3) 90 and 40 (4) 80 and 40
Q.20) Which of the following is the smallest?
(1) 15
16
(2) 16
6
(3) 7
8
(4) 11
12
Q.21) A man spends a fixed amount per month on petrol. The trend with every hike in price of petrol is as
follows:
Rs./litre : 1.5 2 3 4.5 6
Litres : 60 45 30 20 ?
What will be consumption when there price is Rs. 6 a litre?
(1) 12 (2) 15
(3) 18 (4) 13.5
Q.22) The one rupee coin is placed on plain paper. How many coins of the same size can be placed round it
so that each one touches the centre and adjacent coins?
(1) 4 (2) 3
(3) 7 (4) 6
Q.23) The smallest number of 5 digits beginning with 3 and ending with 5 will be:
(1) 31005 (2) 30015
(3) 30005 (4) 30025
Q.24) The first day of the year 1998 was Wednesday. If the birthday of Sucheta falls in 1998 was her
birthday?
(1) Wednesday (2) Thursday
(3) Monday (4) Tuesday
(5) None of these
Q.25) Sukhbir is taller than Randhir but not as tall as Ajit. If Manoj is taller than Nitin, who is shorter than
Ajit, then who among them is the shortest?
(1) Nitin (2) Sukhbir
(3) Manoj (4) Data inadequate
(5) None of these
ANSWERS
1. (1)
2. (2)
3. (4)
4. (1)
5. (3)
6. (1)
7. (1)
8. (2)
9. (4)
10. (4)
11. (3)
12. (3)
13. (2)
14. (2)
15. (2)
16. (3)
17. (1)
18. (1)
19. (1)
20. (3)
21. (2)
22. (4)
23. (3)
24. (1)
25. (4)
MENTAL ABILITY     next paper......................................................
Q.1) The angles of a quadrilateral are in the ratio of 1 : 4 : 2 : 3. The angles are respectively :
(A) 180; 720; 360; 540 (B) 720; 2280; 1440; 2160
(C) 360; 1140; 720; 1080 (D) None of the above
Q.2) A circle of 1 m radius is drawn inside a square as shown in the above figure. What is the area of the
shaded portion in m2?
1 m
(A) (4 −π ) (B) 1
2
⎛ π ⎞ ⎜ − ⎟
⎝ ⎠
(C) 1
4 4
⎛ π ⎞ ⎜ − ⎟
⎝ ⎠
(D) 1
4
⎛ π ⎞ ⎜ − ⎟
⎝ ⎠
Q.3) If 2x + 3y = 10 and y < 4, then
(A) x > -1 (B) x < -1
(C) x > 0 (D) x < 0
Q.4) Ram started his journey at 9.00 a.m. at 8 km/hour. Hamid started from the same spot in the same
direction at 9.30 a.m. at 10 km/hour. Hamid overtakes Ram at :
(A) 11.00 a.m. (B) 12.30 p.m.
(C) 12.00 noon (D) 11.30 a.m.
Q.5) A can do a piece of work in 12 days and B can do it in 10 days and A, B and C together in 5 days. C
alone can do it in:
(A) 17 days (B) 27 days
(C) 60 days (D) 30 days
Q.6) The given diagram shows the population of a town. If the total population of the town is 7,20,000 then
the number of animals in the town is :
Men 70
Boys 70
Girls 130
Animals 30
Women 60
(A) 30,000 (B) 40,000
(C) 50,000 (D) 60,000
Q.7) What least number must be subtracted from each of the numbers 17, 17, 34, 42 so that the ratio of first
two is the same as the ratio of the next two?
(A) 0 (zero) (B) 1
(C) 2 (D) 7
Q.8) A circular road runs around a circular garden. If the sum of the circumferences of the inner and outer
circles is 88 metres and the radius of the inner circle is one-third of the outer circle, then the width of
the road is :
(A) 4 metres (B) 5 metres
(C) 6 metres (D) 7 metres
Q.9) A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate.
If 70% of the males are literate, the number of literate females is :
(A) 20,000 (B) 24,000
(C) 30,000 (D) 34,000
Q.10) The cost price of an article is Rs. 100. To gain 50% after allowing a 50% discount, the market price of
the article is :
(A) Rs. 200 (B) Rs. 400
(C) Rs. 350 (D) Rs. 300
Q.11) In three annual examinations, of which the aggregate marks of each was 500, a student secured
average marks 45% and 55% in the first and the second yearly examinations respectively. To secure
60% average total marks, it is necessary for him in third yearly examination to secure marks :
(A) 300 (B) 350
(C) 400 (D) 450
Q.12) If RUNNER is coded by SUMMER, the code for WINTER will be :
(A) XIMSER (B) VINTER
(C) SINVER (D) VIOUER
Q.13) P is 300 kms eastward of O and Q is 400 kms north of O. R is exactly in the middle of Q and P. The
distance between Q and R is :
(A) 300 kms (B) 350 kms
(C) 250 kms (D) 250√2 kms
Q.14) A man borrows Rs. 1200.00 from a bank for a period of 3 months. He finds that he has to repay Rs.
1236.00. The bank rate of interest is:
(A) 3% (B) 6%
(C) 12% (D) 24%
Q.15) In climbing a round pole of 80 metres height, a monkey climbs 5 metres in a minute and slips 2
metres in the alternate minute. To get to the top of the pole, the monkey would take :
(A) 51 minutes (B) 54 minutes
(C) 58 minutes (D) 61 minutes
Q.16) A man travels by a car for 3 days. He traveled 10 hours each day. He drove on the first day at 45
km/hr, second day at 40 km/hr and third day at 20 km/hr. His average speed was :
(A) 30 km/hr (B) 35 km/hr
(C) 38 km/hr (D) 40 km/hr
Q.17) Forty three persons went to a canteen which sold cold drink ‘Maaza’ and ‘Pepsi’. If 18 persons took
Maaza only, 8 took Pepsi only and 5 took nothing, find how many took both the drinks :
(A) 35 (B) 21
(C) 12 (D) 26
Q.18) A man works for 2 days and then rests for one day, then works for 2 days and rests for one day and so
on. For everyday he works, he earns Rs. 100. How much will he earn from Monday to Saturday?
(A) Rs. 200 (B) Rs. 300
(C) Rs. 400 (D) Rs. 500
Q.19) A rectangular plot of lawn of length and width respectively x and y metres is surrounded by a pathway
of 2 metres width. The total area of pathway is :
(A) 2x + 2y + 4 (B) 2x + 2y + 8
(C) 4x + 4y + 8 (D) 4x + 4y + 16
Q.20) How many triangles are there in the given figure?
A B
D C
E
F
G
(A) 10 (B) 16
(C) 12 (D) 8
Q.21) Unscramble the letters of words and find odd one out.
(1) TLAES (2) KOBO
(3) PPREA (4) NCEPLI
Q.22) A square park is surrounded by a path of uniform width 2 metres all round it. The area of the path is
288 sq. metres. The perimeter of the park is
(1) 142 m (2) 128 m
(3) 136 m (4) 118 m
Q.23) What is the sum of 5x3 – 3x2 – 1 and 3x2 + 1?
(1) 5x3 (2) 6x2
(3) 5x (4) 3x2
Q.24) India has won the “World Cup Hockey” title:
(1) Twice (2) Once
(3) Thrice (4) Never
Q.25) The price of T.V. set inclusive of sales tax of 9% is Rs. 13.407. Find its marked price.
(1) Rs. 12,300 (2) Rs. 11,500
(3) Rs. 12,500 (4) Rs. 12,400
ANSWERS
1. (C)
2. (D)
3. (C)
4. (D)
5. (C)
6. (D)
7. (C)
8. (D)
9. (B)
10. (D)
11. (C)
12. (A)
13. (C)
14. (C)
15. (A)
16. (B)
17. (C)
18. (C)
19. (D)
20. (C)
21. (1)
22. (3)
23. (1)
24. (2)

25. (1)

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