Class 10 NTSE Delhi - Question Papers MAT 2020-21

 Page 1


 
  
 
 
 
 
NTSE STAGE – I (DELHI STATE)  
003 –A (2020 – 21)  
(For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
QUESTION PAPER 
 
1. 
( )
( ) ( )
2 2 2 2 2
6 7 8 9 10
7 4 3 4 2 3
++++
+ - +
is equal to : 
 1. 355 2. 330 
 3. 305 4.  366 
 
2. If 20% of x = y, then y% of 20 is the same as: 
 1. 4% of x  2. 6% of y 
 3. 8% of x  4.  10% of x  
 
3. The sum of the first 12 terms of an AP. Whose nth term is given by 
n
a 3n 4 =+ is: 
 1. 262   2. 272 
 3. 282   4. 292 
 
4. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their 
speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to 
pass the driver of the faster one: 
 1. 12 sec  2. 24 sec 
 3. 48 sec 4. 60 sec 
 
5. The next term of the AP 18, 50, 98,... is  
 1. 146 2. 128 
 3. 162 4.  200 
 
6. If (p + q)
th
 term of an AP is m and (p - q)
th
 term is n, then pth term is : 
 1. mn 2. mn 
 3. 
( ) m n / 2 - 4.  ( ) m n / 2 + 
 
7. If a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for 
the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The original 
duration of the flight is: 
 1. 1 hour  2. 2 hours  
 3. 3 hours  4.  4 hours  
 
8. A tower is observed from a point on the horizontal through the foot of the tower. The distance 
of this point from the foot of the tower is equal to the height of the tower. The angle of 
elevation on the top of the tower is: 
 1. 60
0
  2. 45
0 
 3. 40
0
  4.  30
0
 
 
9. There are 1400 students in a school, 25% of those wear spectacles and 2/7 of those wearing 
spectacles are boys. How many girls in the school wear spectacles? 
 1. 300 2. 100 
 3. 200 4. 250 
Page 2


 
  
 
 
 
 
NTSE STAGE – I (DELHI STATE)  
003 –A (2020 – 21)  
(For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
QUESTION PAPER 
 
1. 
( )
( ) ( )
2 2 2 2 2
6 7 8 9 10
7 4 3 4 2 3
++++
+ - +
is equal to : 
 1. 355 2. 330 
 3. 305 4.  366 
 
2. If 20% of x = y, then y% of 20 is the same as: 
 1. 4% of x  2. 6% of y 
 3. 8% of x  4.  10% of x  
 
3. The sum of the first 12 terms of an AP. Whose nth term is given by 
n
a 3n 4 =+ is: 
 1. 262   2. 272 
 3. 282   4. 292 
 
4. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their 
speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to 
pass the driver of the faster one: 
 1. 12 sec  2. 24 sec 
 3. 48 sec 4. 60 sec 
 
5. The next term of the AP 18, 50, 98,... is  
 1. 146 2. 128 
 3. 162 4.  200 
 
6. If (p + q)
th
 term of an AP is m and (p - q)
th
 term is n, then pth term is : 
 1. mn 2. mn 
 3. 
( ) m n / 2 - 4.  ( ) m n / 2 + 
 
7. If a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for 
the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The original 
duration of the flight is: 
 1. 1 hour  2. 2 hours  
 3. 3 hours  4.  4 hours  
 
8. A tower is observed from a point on the horizontal through the foot of the tower. The distance 
of this point from the foot of the tower is equal to the height of the tower. The angle of 
elevation on the top of the tower is: 
 1. 60
0
  2. 45
0 
 3. 40
0
  4.  30
0
 
 
9. There are 1400 students in a school, 25% of those wear spectacles and 2/7 of those wearing 
spectacles are boys. How many girls in the school wear spectacles? 
 1. 300 2. 100 
 3. 200 4. 250 
 
  
 
 
 
 
 
10. P, Q and R jointly thought of engaging themselves in a business venture. It was agreed that 
P would invest Rs 6500 for 6 months, Q, Rs 8400 for 5 months and R, Rs 10000 for 3 
months P wants to be the working member for which, he was to receive 5% of the profits. 
The profit earned was Rs 7400. Calculate the share of Q in the profit.   
 1. Rs 1900  2. Rs 2660 
 3. Rs 2800 4.  Rs 2840 
 
11. John cycling at a constant speed of 10 km/hr, reaches his school in time. If he cycles at a 
constant speed of 15 km/hr, he reaches his school in 12 minutes early. How many km he has 
to cycle for his school is? 
 1. 4 2. 6 
 3. 9 4.  12 
 
12. If 7sin 24: cos : 0 / 2 ? = ? ? ? ? ? , then the value of 14tan 75cos 7sec ? - ? - ?is equal 
to 
 1. 3 2. 4 
 3. 1 4.  2 
 
13. If ( )
22
x 1/ x 98 x 0 + = ? , then the value of 
33
x 1/ x + is  
 1. 970 2. 1030 
 3. –970  4.  –1030 
 
14. The correct arrangement of alphabetical order of the words  
 a. music b. monk  
 c. minimum d. maximum  
 1. d, a, c, b 2. a, c, d, b 
 3. d, c, a, b  4.  d, c, b, a 
 
15. At present ages of a father and son are in the ratio of 7:3 and they will be in the present ratio 
2:1 after 10 years. What is the present age of father? 
 1. 70 years  2. 65 years  
 3. 60 years   4.  50 years  
 
Directions (Questions 16 – 19): Study the following table carefully and answer the questions: 
Number of students in different classes of XYZ Primary school: 
 
Classes Years 
2014 2015 2016 2017 2018 
I 22 28 26 32 18 
II 20 26 22 24 16 
III 39 33 52 17 29 
IV 19 26 38 24 11 
V 16 33 37 23 21 
 
 
16. The difference between the sum of all the students of all the classes in 2017 and 2018 is: 
 1. 112 2. 85 
 3. 25 4.  35 
 
17. The sum of all the students in class III in all the years is what percent of the sum of all 
students of class I in all the years approximately? 
 1. 30% 2. 100% 
 3. 60% 4.  135% 
 
18. The square of sum of all the students of all classes in year 2018 is: 
Page 3


 
  
 
 
 
 
NTSE STAGE – I (DELHI STATE)  
003 –A (2020 – 21)  
(For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
QUESTION PAPER 
 
1. 
( )
( ) ( )
2 2 2 2 2
6 7 8 9 10
7 4 3 4 2 3
++++
+ - +
is equal to : 
 1. 355 2. 330 
 3. 305 4.  366 
 
2. If 20% of x = y, then y% of 20 is the same as: 
 1. 4% of x  2. 6% of y 
 3. 8% of x  4.  10% of x  
 
3. The sum of the first 12 terms of an AP. Whose nth term is given by 
n
a 3n 4 =+ is: 
 1. 262   2. 272 
 3. 282   4. 292 
 
4. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their 
speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to 
pass the driver of the faster one: 
 1. 12 sec  2. 24 sec 
 3. 48 sec 4. 60 sec 
 
5. The next term of the AP 18, 50, 98,... is  
 1. 146 2. 128 
 3. 162 4.  200 
 
6. If (p + q)
th
 term of an AP is m and (p - q)
th
 term is n, then pth term is : 
 1. mn 2. mn 
 3. 
( ) m n / 2 - 4.  ( ) m n / 2 + 
 
7. If a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for 
the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The original 
duration of the flight is: 
 1. 1 hour  2. 2 hours  
 3. 3 hours  4.  4 hours  
 
8. A tower is observed from a point on the horizontal through the foot of the tower. The distance 
of this point from the foot of the tower is equal to the height of the tower. The angle of 
elevation on the top of the tower is: 
 1. 60
0
  2. 45
0 
 3. 40
0
  4.  30
0
 
 
9. There are 1400 students in a school, 25% of those wear spectacles and 2/7 of those wearing 
spectacles are boys. How many girls in the school wear spectacles? 
 1. 300 2. 100 
 3. 200 4. 250 
 
  
 
 
 
 
 
10. P, Q and R jointly thought of engaging themselves in a business venture. It was agreed that 
P would invest Rs 6500 for 6 months, Q, Rs 8400 for 5 months and R, Rs 10000 for 3 
months P wants to be the working member for which, he was to receive 5% of the profits. 
The profit earned was Rs 7400. Calculate the share of Q in the profit.   
 1. Rs 1900  2. Rs 2660 
 3. Rs 2800 4.  Rs 2840 
 
11. John cycling at a constant speed of 10 km/hr, reaches his school in time. If he cycles at a 
constant speed of 15 km/hr, he reaches his school in 12 minutes early. How many km he has 
to cycle for his school is? 
 1. 4 2. 6 
 3. 9 4.  12 
 
12. If 7sin 24: cos : 0 / 2 ? = ? ? ? ? ? , then the value of 14tan 75cos 7sec ? - ? - ?is equal 
to 
 1. 3 2. 4 
 3. 1 4.  2 
 
13. If ( )
22
x 1/ x 98 x 0 + = ? , then the value of 
33
x 1/ x + is  
 1. 970 2. 1030 
 3. –970  4.  –1030 
 
14. The correct arrangement of alphabetical order of the words  
 a. music b. monk  
 c. minimum d. maximum  
 1. d, a, c, b 2. a, c, d, b 
 3. d, c, a, b  4.  d, c, b, a 
 
15. At present ages of a father and son are in the ratio of 7:3 and they will be in the present ratio 
2:1 after 10 years. What is the present age of father? 
 1. 70 years  2. 65 years  
 3. 60 years   4.  50 years  
 
Directions (Questions 16 – 19): Study the following table carefully and answer the questions: 
Number of students in different classes of XYZ Primary school: 
 
Classes Years 
2014 2015 2016 2017 2018 
I 22 28 26 32 18 
II 20 26 22 24 16 
III 39 33 52 17 29 
IV 19 26 38 24 11 
V 16 33 37 23 21 
 
 
16. The difference between the sum of all the students of all the classes in 2017 and 2018 is: 
 1. 112 2. 85 
 3. 25 4.  35 
 
17. The sum of all the students in class III in all the years is what percent of the sum of all 
students of class I in all the years approximately? 
 1. 30% 2. 100% 
 3. 60% 4.  135% 
 
18. The square of sum of all the students of all classes in year 2018 is: 
 
  
 
 
 
 
 1. 2095 2. 9025 
 3. 6059 4. 9216 
19. By what percent the number of students of class I in year 2017 is more then the number of 
students of Class II for the same year? 
 1. 60 2. 75 
 3. 35 4.  33.33 
 
Directions (Questions 20 – 21): First two terms are connected by some relationship. The same 
relationship is applicable for the next terms identify the suitable pair. 
 
20. Square : Cube 
 1. Rectangle : Cuboid   2. Triangle : Square  
 3. Quadrilateral : Cuboid  4.  Cuboid : Rectangle  
 
21. 82 : 9 
 1. 5:26 2. 6:37 
 3. 35:6 4.  26:5 
 
22. If A = 2, T = 40 and ACT = 48 the TAKE is: 
 1. 68 2. 58 
 3. 74 4.  76 
 
Directions (Questions 23 – 27): Identify the wrong number / letters in the series: 
 
23. 126, 98, 70, 41, 14 
 1. 98 2. 70 
 3. 126 4.  41 
 
24. 1, 3, 7, 15, 31, 65, 127 
 1. 7 2. 31 
 3. 15 4.  65 
 
25. 7, 28, 63, 124, 215, 344 
 1. 28 2. 63 
 3. 124  4.  344 
 
26. AD, EG, IJ, MM, QP, UP  
 1. EG  2. UP 
 3. QP 4.  MM 
 
27. Z8, W5, T2, Q8, N5, K3 
 1. K3 2. T2 
 3. Q8  4.  Z8 
 
Directions (Questions 28 – 29): First set of words are related in a certain way. You have to choose 
a word. So that another set of words also become related in same manner. 
 
28. Transition : change : : Immobility : ? 
 1. Stillness   2. Liveliness  
 3. Action   4.  Busyness  
 
29. Grain : Stock : : Stick : ? 
 1. String  2. Collection  
 3. Bundle   4.  Heep 
 
 
 
Page 4


 
  
 
 
 
 
NTSE STAGE – I (DELHI STATE)  
003 –A (2020 – 21)  
(For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
QUESTION PAPER 
 
1. 
( )
( ) ( )
2 2 2 2 2
6 7 8 9 10
7 4 3 4 2 3
++++
+ - +
is equal to : 
 1. 355 2. 330 
 3. 305 4.  366 
 
2. If 20% of x = y, then y% of 20 is the same as: 
 1. 4% of x  2. 6% of y 
 3. 8% of x  4.  10% of x  
 
3. The sum of the first 12 terms of an AP. Whose nth term is given by 
n
a 3n 4 =+ is: 
 1. 262   2. 272 
 3. 282   4. 292 
 
4. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their 
speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to 
pass the driver of the faster one: 
 1. 12 sec  2. 24 sec 
 3. 48 sec 4. 60 sec 
 
5. The next term of the AP 18, 50, 98,... is  
 1. 146 2. 128 
 3. 162 4.  200 
 
6. If (p + q)
th
 term of an AP is m and (p - q)
th
 term is n, then pth term is : 
 1. mn 2. mn 
 3. 
( ) m n / 2 - 4.  ( ) m n / 2 + 
 
7. If a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for 
the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The original 
duration of the flight is: 
 1. 1 hour  2. 2 hours  
 3. 3 hours  4.  4 hours  
 
8. A tower is observed from a point on the horizontal through the foot of the tower. The distance 
of this point from the foot of the tower is equal to the height of the tower. The angle of 
elevation on the top of the tower is: 
 1. 60
0
  2. 45
0 
 3. 40
0
  4.  30
0
 
 
9. There are 1400 students in a school, 25% of those wear spectacles and 2/7 of those wearing 
spectacles are boys. How many girls in the school wear spectacles? 
 1. 300 2. 100 
 3. 200 4. 250 
 
  
 
 
 
 
 
10. P, Q and R jointly thought of engaging themselves in a business venture. It was agreed that 
P would invest Rs 6500 for 6 months, Q, Rs 8400 for 5 months and R, Rs 10000 for 3 
months P wants to be the working member for which, he was to receive 5% of the profits. 
The profit earned was Rs 7400. Calculate the share of Q in the profit.   
 1. Rs 1900  2. Rs 2660 
 3. Rs 2800 4.  Rs 2840 
 
11. John cycling at a constant speed of 10 km/hr, reaches his school in time. If he cycles at a 
constant speed of 15 km/hr, he reaches his school in 12 minutes early. How many km he has 
to cycle for his school is? 
 1. 4 2. 6 
 3. 9 4.  12 
 
12. If 7sin 24: cos : 0 / 2 ? = ? ? ? ? ? , then the value of 14tan 75cos 7sec ? - ? - ?is equal 
to 
 1. 3 2. 4 
 3. 1 4.  2 
 
13. If ( )
22
x 1/ x 98 x 0 + = ? , then the value of 
33
x 1/ x + is  
 1. 970 2. 1030 
 3. –970  4.  –1030 
 
14. The correct arrangement of alphabetical order of the words  
 a. music b. monk  
 c. minimum d. maximum  
 1. d, a, c, b 2. a, c, d, b 
 3. d, c, a, b  4.  d, c, b, a 
 
15. At present ages of a father and son are in the ratio of 7:3 and they will be in the present ratio 
2:1 after 10 years. What is the present age of father? 
 1. 70 years  2. 65 years  
 3. 60 years   4.  50 years  
 
Directions (Questions 16 – 19): Study the following table carefully and answer the questions: 
Number of students in different classes of XYZ Primary school: 
 
Classes Years 
2014 2015 2016 2017 2018 
I 22 28 26 32 18 
II 20 26 22 24 16 
III 39 33 52 17 29 
IV 19 26 38 24 11 
V 16 33 37 23 21 
 
 
16. The difference between the sum of all the students of all the classes in 2017 and 2018 is: 
 1. 112 2. 85 
 3. 25 4.  35 
 
17. The sum of all the students in class III in all the years is what percent of the sum of all 
students of class I in all the years approximately? 
 1. 30% 2. 100% 
 3. 60% 4.  135% 
 
18. The square of sum of all the students of all classes in year 2018 is: 
 
  
 
 
 
 
 1. 2095 2. 9025 
 3. 6059 4. 9216 
19. By what percent the number of students of class I in year 2017 is more then the number of 
students of Class II for the same year? 
 1. 60 2. 75 
 3. 35 4.  33.33 
 
Directions (Questions 20 – 21): First two terms are connected by some relationship. The same 
relationship is applicable for the next terms identify the suitable pair. 
 
20. Square : Cube 
 1. Rectangle : Cuboid   2. Triangle : Square  
 3. Quadrilateral : Cuboid  4.  Cuboid : Rectangle  
 
21. 82 : 9 
 1. 5:26 2. 6:37 
 3. 35:6 4.  26:5 
 
22. If A = 2, T = 40 and ACT = 48 the TAKE is: 
 1. 68 2. 58 
 3. 74 4.  76 
 
Directions (Questions 23 – 27): Identify the wrong number / letters in the series: 
 
23. 126, 98, 70, 41, 14 
 1. 98 2. 70 
 3. 126 4.  41 
 
24. 1, 3, 7, 15, 31, 65, 127 
 1. 7 2. 31 
 3. 15 4.  65 
 
25. 7, 28, 63, 124, 215, 344 
 1. 28 2. 63 
 3. 124  4.  344 
 
26. AD, EG, IJ, MM, QP, UP  
 1. EG  2. UP 
 3. QP 4.  MM 
 
27. Z8, W5, T2, Q8, N5, K3 
 1. K3 2. T2 
 3. Q8  4.  Z8 
 
Directions (Questions 28 – 29): First set of words are related in a certain way. You have to choose 
a word. So that another set of words also become related in same manner. 
 
28. Transition : change : : Immobility : ? 
 1. Stillness   2. Liveliness  
 3. Action   4.  Busyness  
 
29. Grain : Stock : : Stick : ? 
 1. String  2. Collection  
 3. Bundle   4.  Heep 
 
 
 
 
  
 
 
 
 
30. A is B’s sister, C is B’s mother, D is C’s father, E is D’s mother. Then how is A related to D? 
 1. Grand father  2. Grand mother  
 3. Daughter   4.  Grand Daughter  
 
Directions (Questions 31 – 33): Find the odd one out: 
 
31. a. Crusade  b. Campaign  
 c. Expedition   d.  Cruise  
 1. a 2. c 
 3. b 4.  d 
 
32. a. Clove  b. Cinnamon  
 c. Apricot  d.  Pepper  
 1. a  2. c 
 3. b 4.  d 
 
33. a. Acre b. Yard  
 c. Mile   d.  Meter  
 1. a 2. c 
 3. b  4.  d 
 
34. In a certain code MONKEY is written XDJMNL. How is TIGER written in the same code? 
 1. SHFDQ  2. HFDSQ 
 3.  QDFHS 4. PQRST 
 
35. In the following matrix, certain numbers are arranged in a certain way. Choose the missing 
number to complete the matrix. 
  
1 7 9 
2 14 ? 
3 105 117 
 
 1. 16 2. 12 
 3. 13 4.  14 
 
36. What value will replace ‘?’ in the figures given below: 
  
1. 0  2. 1 
 3. 2 4. 3 
 
37. Five plays – K, L, M, N and O are to be staged from Monday to Friday of a week. On each 
day only one play will be staged. O should be immediately followed by M. L should be staged 
immediately after N. One play is staged between K and L. N or O should not be the first or 
last play. Which is the second play to be staged? 
1. M 2. O 
 3. N 4. K 
 
38. In a town of 500 people. 285 people, read ‘The Hindu’ and 212 people read ‘Indian Express’ 
and 127 people read ‘Times of India’. Only 20 people read ‘The Hindu’ and ‘Times of India’, 
only 29 people read ‘The Hindu’ and ‘Indian Express’ and only 35 people read ‘Times of 
India’ and ‘Indian Express’. 50 people do not read newspaper. Then how many people read 
only one newspaper? 
 
Page 5


 
  
 
 
 
 
NTSE STAGE – I (DELHI STATE)  
003 –A (2020 – 21)  
(For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
QUESTION PAPER 
 
1. 
( )
( ) ( )
2 2 2 2 2
6 7 8 9 10
7 4 3 4 2 3
++++
+ - +
is equal to : 
 1. 355 2. 330 
 3. 305 4.  366 
 
2. If 20% of x = y, then y% of 20 is the same as: 
 1. 4% of x  2. 6% of y 
 3. 8% of x  4.  10% of x  
 
3. The sum of the first 12 terms of an AP. Whose nth term is given by 
n
a 3n 4 =+ is: 
 1. 262   2. 272 
 3. 282   4. 292 
 
4. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their 
speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to 
pass the driver of the faster one: 
 1. 12 sec  2. 24 sec 
 3. 48 sec 4. 60 sec 
 
5. The next term of the AP 18, 50, 98,... is  
 1. 146 2. 128 
 3. 162 4.  200 
 
6. If (p + q)
th
 term of an AP is m and (p - q)
th
 term is n, then pth term is : 
 1. mn 2. mn 
 3. 
( ) m n / 2 - 4.  ( ) m n / 2 + 
 
7. If a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for 
the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The original 
duration of the flight is: 
 1. 1 hour  2. 2 hours  
 3. 3 hours  4.  4 hours  
 
8. A tower is observed from a point on the horizontal through the foot of the tower. The distance 
of this point from the foot of the tower is equal to the height of the tower. The angle of 
elevation on the top of the tower is: 
 1. 60
0
  2. 45
0 
 3. 40
0
  4.  30
0
 
 
9. There are 1400 students in a school, 25% of those wear spectacles and 2/7 of those wearing 
spectacles are boys. How many girls in the school wear spectacles? 
 1. 300 2. 100 
 3. 200 4. 250 
 
  
 
 
 
 
 
10. P, Q and R jointly thought of engaging themselves in a business venture. It was agreed that 
P would invest Rs 6500 for 6 months, Q, Rs 8400 for 5 months and R, Rs 10000 for 3 
months P wants to be the working member for which, he was to receive 5% of the profits. 
The profit earned was Rs 7400. Calculate the share of Q in the profit.   
 1. Rs 1900  2. Rs 2660 
 3. Rs 2800 4.  Rs 2840 
 
11. John cycling at a constant speed of 10 km/hr, reaches his school in time. If he cycles at a 
constant speed of 15 km/hr, he reaches his school in 12 minutes early. How many km he has 
to cycle for his school is? 
 1. 4 2. 6 
 3. 9 4.  12 
 
12. If 7sin 24: cos : 0 / 2 ? = ? ? ? ? ? , then the value of 14tan 75cos 7sec ? - ? - ?is equal 
to 
 1. 3 2. 4 
 3. 1 4.  2 
 
13. If ( )
22
x 1/ x 98 x 0 + = ? , then the value of 
33
x 1/ x + is  
 1. 970 2. 1030 
 3. –970  4.  –1030 
 
14. The correct arrangement of alphabetical order of the words  
 a. music b. monk  
 c. minimum d. maximum  
 1. d, a, c, b 2. a, c, d, b 
 3. d, c, a, b  4.  d, c, b, a 
 
15. At present ages of a father and son are in the ratio of 7:3 and they will be in the present ratio 
2:1 after 10 years. What is the present age of father? 
 1. 70 years  2. 65 years  
 3. 60 years   4.  50 years  
 
Directions (Questions 16 – 19): Study the following table carefully and answer the questions: 
Number of students in different classes of XYZ Primary school: 
 
Classes Years 
2014 2015 2016 2017 2018 
I 22 28 26 32 18 
II 20 26 22 24 16 
III 39 33 52 17 29 
IV 19 26 38 24 11 
V 16 33 37 23 21 
 
 
16. The difference between the sum of all the students of all the classes in 2017 and 2018 is: 
 1. 112 2. 85 
 3. 25 4.  35 
 
17. The sum of all the students in class III in all the years is what percent of the sum of all 
students of class I in all the years approximately? 
 1. 30% 2. 100% 
 3. 60% 4.  135% 
 
18. The square of sum of all the students of all classes in year 2018 is: 
 
  
 
 
 
 
 1. 2095 2. 9025 
 3. 6059 4. 9216 
19. By what percent the number of students of class I in year 2017 is more then the number of 
students of Class II for the same year? 
 1. 60 2. 75 
 3. 35 4.  33.33 
 
Directions (Questions 20 – 21): First two terms are connected by some relationship. The same 
relationship is applicable for the next terms identify the suitable pair. 
 
20. Square : Cube 
 1. Rectangle : Cuboid   2. Triangle : Square  
 3. Quadrilateral : Cuboid  4.  Cuboid : Rectangle  
 
21. 82 : 9 
 1. 5:26 2. 6:37 
 3. 35:6 4.  26:5 
 
22. If A = 2, T = 40 and ACT = 48 the TAKE is: 
 1. 68 2. 58 
 3. 74 4.  76 
 
Directions (Questions 23 – 27): Identify the wrong number / letters in the series: 
 
23. 126, 98, 70, 41, 14 
 1. 98 2. 70 
 3. 126 4.  41 
 
24. 1, 3, 7, 15, 31, 65, 127 
 1. 7 2. 31 
 3. 15 4.  65 
 
25. 7, 28, 63, 124, 215, 344 
 1. 28 2. 63 
 3. 124  4.  344 
 
26. AD, EG, IJ, MM, QP, UP  
 1. EG  2. UP 
 3. QP 4.  MM 
 
27. Z8, W5, T2, Q8, N5, K3 
 1. K3 2. T2 
 3. Q8  4.  Z8 
 
Directions (Questions 28 – 29): First set of words are related in a certain way. You have to choose 
a word. So that another set of words also become related in same manner. 
 
28. Transition : change : : Immobility : ? 
 1. Stillness   2. Liveliness  
 3. Action   4.  Busyness  
 
29. Grain : Stock : : Stick : ? 
 1. String  2. Collection  
 3. Bundle   4.  Heep 
 
 
 
 
  
 
 
 
 
30. A is B’s sister, C is B’s mother, D is C’s father, E is D’s mother. Then how is A related to D? 
 1. Grand father  2. Grand mother  
 3. Daughter   4.  Grand Daughter  
 
Directions (Questions 31 – 33): Find the odd one out: 
 
31. a. Crusade  b. Campaign  
 c. Expedition   d.  Cruise  
 1. a 2. c 
 3. b 4.  d 
 
32. a. Clove  b. Cinnamon  
 c. Apricot  d.  Pepper  
 1. a  2. c 
 3. b 4.  d 
 
33. a. Acre b. Yard  
 c. Mile   d.  Meter  
 1. a 2. c 
 3. b  4.  d 
 
34. In a certain code MONKEY is written XDJMNL. How is TIGER written in the same code? 
 1. SHFDQ  2. HFDSQ 
 3.  QDFHS 4. PQRST 
 
35. In the following matrix, certain numbers are arranged in a certain way. Choose the missing 
number to complete the matrix. 
  
1 7 9 
2 14 ? 
3 105 117 
 
 1. 16 2. 12 
 3. 13 4.  14 
 
36. What value will replace ‘?’ in the figures given below: 
  
1. 0  2. 1 
 3. 2 4. 3 
 
37. Five plays – K, L, M, N and O are to be staged from Monday to Friday of a week. On each 
day only one play will be staged. O should be immediately followed by M. L should be staged 
immediately after N. One play is staged between K and L. N or O should not be the first or 
last play. Which is the second play to be staged? 
1. M 2. O 
 3. N 4. K 
 
38. In a town of 500 people. 285 people, read ‘The Hindu’ and 212 people read ‘Indian Express’ 
and 127 people read ‘Times of India’. Only 20 people read ‘The Hindu’ and ‘Times of India’, 
only 29 people read ‘The Hindu’ and ‘Indian Express’ and only 35 people read ‘Times of 
India’ and ‘Indian Express’. 50 people do not read newspaper. Then how many people read 
only one newspaper? 
 
 
  
 
 
 
 
1. 123 2. 213 
 3. 312 4.321 
 
39. Which of the following venn diagram truly represents the relationship between Truck, Ship 
and Goods? 
 
 
 
 
1. 2. 3. 4. 
 
 
40. Identify the diagram the best represents the relationship among the given animals – Reptiles, 
Lizard, Lion. 
 
 
 
 
 
1. 2. 3. 4. 
 
 
41. If – stands for ?, + stands for x, ? stands for – and x stands for +, which of the following 
equations is correct? 
1. 40 – 10 + 5 ? 4 x 5 = 21 2. 40 + 10 – 4 x 5 ? 3 = 80 
 3. 40 ? 10 – 4 x 5 + 3 = 32  4. 8 – 4 x 40 ? 2 + 15 = 30 
 
42. P, Q, R, S, T, U, V and W are sitting round the circle and are facing the centre. P is second to 
the right of T who is neighbour of R and V. S is not the neighbour of P, V is neighbour of U. Q 
is not between S and W. W is not between U and S. Then who is sitting opposite to W? 
1. S 2. Q  
 3. U 4.T 
 
43. Find the ratio in which rice at Rs 7.20 per kg be mixed with rice at Rs 5.70 per kg. to produce 
a mixture worth Rs 6.30 per kg? 
1. 2:3 2. 1:3 
 3. 3:4 4.4:5 
 
44. A pupil’s marks were wrongly entered as 83 instead of 63. Due to which the average marks 
for the class got increased by half. The number of pupils in the class is: 
1. 45 2. 40 
 3. 39 4.37 
 
45. A watch which gains 5 seconds in 3 minutes was set right at 7 am. In the afternoon of the 
same day when the watch indicated quarter past 4 O’ clock, the true time is: 
1. 9 pm  2. 7 pm 
 3. 4 pm  4. 5 pm 
 
46. A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the 
calculation. 
1. 54% 2. 64% 
 3. 74% 4.84%