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Numerical Aptitude Model Test

 

 
1.

If x and y are two digits of the number 653xy such that the number is divisible by 80, then x + y is equal to
(a) 6  (b) 3  (c) 4  (d) 5
 
 
: A
    solution
 
2.

A school has only three classes which contain 40, 50 and 60 students respectively. The pass percentage of these classes are 10, 20 and 10 respectively. The pass percentage of the school is
(a) 13  (b) 15  (c) 16  (d) 20
 
 
: A
    solution
 
3.

A student has secure 40% marks to pass. He gets 178 marks and fails by 22 marks. The maximum marks are
(a) 450  (b) 500  (c) 520  (d) 600
 
 
: B
    solution
 
4.

If 75% of a number is added to 75, then the result is the number itself. The number is
(a) 400  (b) 300  (c) 60  (d) 50
 
 
: B
    solution
 
5.

If A's height is 10% more than the B's, then how much percent less is B's height than that of A?

 
 
: D
    solution
 
6.

If the side of a square is increased by 25% then its area is increased by
(a) 25%  (b) 55%  (c) 40.5%  (d) 56.25%
 
 
: D
    solution
 
7.

The total number of three digit numbers which are exactly divisible by 6 is
(a) 149  (b) 150  (c) 151  (d) 166
 
 
: B
    solution
 
8.

The value of
(3.75 × 3.75 − 2 × 3.75 × 2.75 + 2.75 ×2.75) is
(a) 1.00   (b) 1.75  (c) 4.75  (d) 6.50
 
 
: A
    solution
 
9.

If log 27 = 1.431, then the value of log 9 is
(a) 0.934 (b) 0.945  (c) 0.954  (d) 0.958
 
 
: C
    solution
 
10.


 
 
: A
    solution
 
11.


 
 
: B
    solution
 
12.

The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is
(a) 279 (b) 283 (c) 308 (d) 318
 
 
: C
    solution
 
13.

The diagonal of a square field is 110 m. Its area is
(a) 6050 m2 (b) 12100 m(c) 6000 m2 (d) 1200 m2
 
 
: A
    solution
 
14.

A copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. The length of the wire is
(a) 9 m (b) 12 m (c) 18 m (d) 36 m
 
 
: D
    solution
 
15.

The area of the three adjacent faces of a rectangular box which meet in a point are known. The product of these areas is equal to
(a) The volume of the box
(b) Twice the volume of the box
(c) The square of the volume of the box
(d) The cube root of its volume
 
 
: C
    solution
 
16.

The area of the largest triangle that can be inscribed in a semi-circle of radius r is
(a) r2 (b) r3 (c) 2r2 (d) 2r3
 
 
: A
    solution
 
17.


 
 
: B
    solution
 
18.

Rahim buys 3 kg of mangoes for Rs 21 and sells them at 5 kg for Rs 50. To earn Rs 102 as profit, the quantity of mangoes to be sold by him should be
(a) 34 kg (b) 52 kg (c) 26 kg (d) 32 kg
 
 
: A
    solution
 
19.

A man sells 2 horses at the same price. On one he makes a profit of 10% and on the other he makes a loss of 10%. On the whole he
(a) Makes no profit no loss (b) Makes a profit of 1%
(c) Suffers a loss of 1% (d) Suffers a loss of 2%
 
 
: B
    solution
 
20.

If the cost price of 12 tables is equal to the selling price of 16 tables, then the loss percent is
(a) 15% (b) 20% (c) 25% (d) 30%
 
 
: C
    solution
 
21.

An electric iron was sold at a profit of 15%. Had it been sold for Rs 600, then the profit would have been 20%. The former selling price of the electric iron is
(a) Rs 500 (b) Rs 540 (c) Rs 575 (d) Rs 600
 
 
: C
    solution
 
22.

A man gains 10% by selling a certain article for a certain price. If he sells it at double the price, then the profit made is
(a) 20% (b) 60% (c) 100% (d) 120%
 
 
: D
    solution
 
23.

If a sum of money at simple interest doubles itself in 6 years, then it will become 4 times in
(a) 14 years (b) 12 years (c) 18 years (d) 16 years
 
 
: B
    solution
 
24.

In how many years will a sum of Rs 800 at 10% per annum compounded semi-annually becomes Rs 926.10?
(a) 2½ (b) 1½ (c) 2 (d) 1
 
 
: B
    solution
 
25.

A sum of money at simple interest amounts to Rs 815 in 3 years and to Rs 854 in 4 years. The sum is
(a) Rs 700 (b) Rs 698 (c) Rs 690 (d) Rs 650
 
 
: B
    solution
 
26.


 
 
: B
    solution
 
27.

A man walking at the rate of 4 km per hour crosses a square field diagonally in 3 minutes. The area of the field is
(a) 20,000 m2 (b) 25,000 m2 (c) 18,000 m2 (d) 19,000 m2
 
 
: A
    solution
 
28.

The length of the bridge, which a train 130 meters long and traveling at 45 km per hour can cross in 30 seconds, is
(a) 200 m (b) 225 m (c) 245 m (d) 250 m
 
 
: C
    solution
 
29.


 
 
: D
    solution
 
30.

The average age of 40 students of a class is 15 years. When 10 new students are admitted, then the average is increased by 0.2 year. The average age of the new students is
(a) 15.2 years (b) 16 years (c) 16.2 years (d) 16.4 years
 
 
: B
    solution
 
31.

The average age of 25 students is 10 years. If the teacher's age is also included, then the average age increases by one year. The age of the teacher is
(a) 26 years (b) 36 years (c) 46 years (d) 25 years
 
 
: B
    solution
 
32.

The average of 11 observations is 60. If the average of first five observations is 58 and that of the last five is 56, then the sixth observation is
(a) 90 (b) 110 (c) 85 (d) 100
 
 
: A
    solution
 
33.

The average weight of 8 men is increased by 1.5 kg. When one of the men who weighs 65 kg is replaced by a new man, then the weight of the new man is
(a) 76 kg (b) 76.5 kg (c) 76.7 kg (d) 77 kg
 
 
: D
    solution
 
34.

The average of the first 50 natural numbers is
(a) 12.25 (b) 21.25 (c) 25.00 (d) 25.50
 
 
: D
    solution
 
35.

A number, when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of
(a) 19 (b) 10 (c) 7 (d) 2
 
 
: D
    solution
 
36.

How many numbers lying between 200 and 600 are divisible by 4, 5 and 6?
(a) 5 (b) 6 (c) 7 (d) 8
 
 
: B
    solution
 
37.

The prices of scooter and T.V set are in the ratio 5 : 4. If a scooter costs Rs. 4,000 more than the T.V set, then the price of the T.V set (in rupees) is
(a) 12,000 (b) 14,000 (c) 16,000 (d) 20,000
 
 
: C
    solution
 
38.

If x:y :: 5:2, then the value of 8x + 9y : 8x + 2y is
(a) 22:29  (b) 29:22 (c) 61:26  (d) 26:61
 
 
: B
    solution
 
39.


 
 
: A
    solution
 
40.

The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of the second to the third is 5 : 8, then the second number is
(a) 20 (b) 30 (c) 48 (d) 58
 
 
: B
    solution
 
41.

If 76 is divided into four parts proportional to 7, 5, 3 and 4, then the smallest part is
(a) 12 (b) 15 (c) 16 (d) 19
 
 
: A
    solution
 
42.


 
 
: C
    solution
 
43.

If m and n (n > 1) are whole numbers such that mn = 121, then the value of (m 1)n+1 is
(a) 1 (b) 10 (c) 121 (d) 1000
 
 
: D
    solution
 
44.

The HCF of three numbers is 12. If they are in the ratio 1:2:3, then the numbers are
(a) 12, 24, 36 (b) 10, 20, 30 (c) 6, 12, 18 (d) 24, 48, 72
 
 
: A
    solution
 
45.

If x * y = (x + y)2 (y 2), then the value of 7 * 5 is
(a) 175 (b) 205 (c) 213 (d) 243
 
 
: D
    solution
 
46.

Find the wrong number in the following series
5  25  61  113  180  265
(1) 25 (2) 113 (3) 180 (4) 265 (5) None of these

 
 
: 3
    solution
 
47.

A trader gives a discount of 15%, but still gains 19%. If the cost price is Rs 140, find the marked price?
(1) Rs 200 (2) Rs 180 (3) Rs 240 (4) Rs 250 (5) None of these

 
 
: 5
    solution
 
48.

Jinil purchased a wristwatch with 30% discount on the labeled price. He sold it with 40% profit on the price he bought. What was  his percentage loss on the labeled price?
(1) 4 (2) 2 (3) 3 (4) 6 (5) None of these

 
 
: 2
    solution
 
49.

Jeevan started a business investing Rs 50,000. Four months later he started, Anil joined him with a capital of Rs 90,000. If at the end of the year, the total profit in the business is Rs 22,000, what would be Anil's share in it?
(1) Rs 15,000 (2) Rs 13,000 (3) Rs 12,500
(4) Rs 12,000 (5) None of these

 
 
: 4
    solution
 
50.

12 men take 18 days to complete a work, whereas 12 children take 27 days to complete the same work. How many days will 10 men and 12 children together take to complete the same work?
(1) 15 days (2) 20 days (3) 10 days (4) 12 days (5) None of these

 
 
: 4
    solution
 
 
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