Class 10 NTSE Delhi - Question Papers SAT MAT 2018-19

 Page 1


 
  
 
NTSE STAGE – I (DELHI STATE)  
05 – A (2018 – 19)  
 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
1. If 
25
x 10
x
? ? then value of 
2
2
50
x
x
? will be  
 1. 29 2. 25 
 3. 24 4. 27 
 
2. If x y 3 ? ? and 
2 2
x y 15 ? ? then value of (x – y)
2
 will be 
 1. 21 2. 36 
 3. 25 4. 16 
 
3. If 
a b c
3 5 7
? ? then value of 
a b c
b
? ?
 will be  
 1. 7 2. 3 
 3. 10 4. 5 
 
4. If sum of number is 25 and sum of their square is 425 then what will be their product. 
 1. 200 2. 300 
 3. 100 4. 400 
 
5. If 
2
0.64 a 64 ? ? then positive value of ‘a’ will be 
 1. 0.1 2. 0.01 
 3. 1.0 4. 10 
 
6. Divisor is 30 times of Quotent and 4 times of Remainder, If quotent is 20 then Divided will be 
 1. 1,200 2. 12,150 
 3. 10,000 4. 600 
 
7. If 
a 2b
3 27
?
? and 
a b
9 3
?
? then value of 
a
b
? will be 
 1. 
4
3
?
 2. 
5
8
 
 3. 
5
6
 4. 
8
5
 
 
8. If 17 x 11 11 6 ? ? ? then value of x
2
 will be 
 1. 11 2. 23 
 3. 6 4. 24 
 
9. If 0.02 0.2 a 0.2 0.2 b ?? ? ?? then, value of 
a
b
 will be 
 1. 0.4 2. 0.2 
 3. 0.04 4. 0.02 
 
10. If 7 3 ? and 7 3 ? are solution of a Quadratic Equation, The Quadratic Equation will be 
 1. 
2
x 14x 46 0 ? ? ? 2. 
2
x 14x 46 0 ? ? ? 
 3. 
2
x 14x 46 0 ? ? ? 4. 
2
x 14x 46 0 ? ? ? 
 
Page 2


 
  
 
NTSE STAGE – I (DELHI STATE)  
05 – A (2018 – 19)  
 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
1. If 
25
x 10
x
? ? then value of 
2
2
50
x
x
? will be  
 1. 29 2. 25 
 3. 24 4. 27 
 
2. If x y 3 ? ? and 
2 2
x y 15 ? ? then value of (x – y)
2
 will be 
 1. 21 2. 36 
 3. 25 4. 16 
 
3. If 
a b c
3 5 7
? ? then value of 
a b c
b
? ?
 will be  
 1. 7 2. 3 
 3. 10 4. 5 
 
4. If sum of number is 25 and sum of their square is 425 then what will be their product. 
 1. 200 2. 300 
 3. 100 4. 400 
 
5. If 
2
0.64 a 64 ? ? then positive value of ‘a’ will be 
 1. 0.1 2. 0.01 
 3. 1.0 4. 10 
 
6. Divisor is 30 times of Quotent and 4 times of Remainder, If quotent is 20 then Divided will be 
 1. 1,200 2. 12,150 
 3. 10,000 4. 600 
 
7. If 
a 2b
3 27
?
? and 
a b
9 3
?
? then value of 
a
b
? will be 
 1. 
4
3
?
 2. 
5
8
 
 3. 
5
6
 4. 
8
5
 
 
8. If 17 x 11 11 6 ? ? ? then value of x
2
 will be 
 1. 11 2. 23 
 3. 6 4. 24 
 
9. If 0.02 0.2 a 0.2 0.2 b ?? ? ?? then, value of 
a
b
 will be 
 1. 0.4 2. 0.2 
 3. 0.04 4. 0.02 
 
10. If 7 3 ? and 7 3 ? are solution of a Quadratic Equation, The Quadratic Equation will be 
 1. 
2
x 14x 46 0 ? ? ? 2. 
2
x 14x 46 0 ? ? ? 
 3. 
2
x 14x 46 0 ? ? ? 4. 
2
x 14x 46 0 ? ? ? 
 
 
  
 
11.  In a Triangle PQR if Q 3 R 2( P R) ? ? ? ? ? ? ? then value of ?Q will be 
 1. 110° 2. 120° 
 3. 40° 4. 102° 
 
12. If 
p x 3
q x 3
?
?
?
 then value of 
2 2
2 2
p q
p q
?
?
 will be 
 1. 
2
6x
x 9 ?
 2. 
2
6x
x 9 ?
 
 3. 
2
12x
x 9 ?
 4. 
2
12x
x 9 ?
   
 
13. If perimeter of a square is same as that of a Rectangle whose length is 24m is double of its 
breadth then area of square will be 
 1. 324 m
2 
2. 342 m
2 
 
3. 224 m
2 
4. 330 m
2 
 
14. If volumes of two cones are in ratio of 2 : 3 and their base radii are in ratio of 1 : 2 then what 
will be Ratio of their heights 
 1. 8 : 3 2. 3 : 2 
 3. 4 : 3 4. 2 : 3 
 
15. If 
x y 1
2 8
?
? and 
y x 6
9 3
?
? then value of x + y  
 1. 34 2. 25 
 3. 33 4. 24 
 
16. If two numbers are such that their difference, their sum and their product are in Ratio 1:7:24 
then product of the two number is 
 1. 48 2. 44 
  3. 54 4. 38 
 
17. The mean of the median mode and Range of the observations 7, 6, 7, 9, 14, 9, 7, 15 is 
 1. 8 2. 9 
 3. 10 4. 7 
 
18. A person spends 80% of his income. With increase in the cost of living, his expenditure 
increased by 
1
37 %
2
 and his incomes increases by 
2
16 %
3
. His present percent saving is 
 1. 
1
10 %
5
 2. 
1
12 %
3
 
 3. 
1
5 %
3
 4. 
5
5 %
7
 
 
19. The cost of five chairs and three table is Rs.3110/-. If cost of one chair is Rs. 210 less than 
cost of one table. What is the cost of two tables and two chairs. 
 1. Rs. 1760 2. Rs. 1000 
 3. Rs. 1660 4. Rs. 1800 
 
Page 3


 
  
 
NTSE STAGE – I (DELHI STATE)  
05 – A (2018 – 19)  
 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
1. If 
25
x 10
x
? ? then value of 
2
2
50
x
x
? will be  
 1. 29 2. 25 
 3. 24 4. 27 
 
2. If x y 3 ? ? and 
2 2
x y 15 ? ? then value of (x – y)
2
 will be 
 1. 21 2. 36 
 3. 25 4. 16 
 
3. If 
a b c
3 5 7
? ? then value of 
a b c
b
? ?
 will be  
 1. 7 2. 3 
 3. 10 4. 5 
 
4. If sum of number is 25 and sum of their square is 425 then what will be their product. 
 1. 200 2. 300 
 3. 100 4. 400 
 
5. If 
2
0.64 a 64 ? ? then positive value of ‘a’ will be 
 1. 0.1 2. 0.01 
 3. 1.0 4. 10 
 
6. Divisor is 30 times of Quotent and 4 times of Remainder, If quotent is 20 then Divided will be 
 1. 1,200 2. 12,150 
 3. 10,000 4. 600 
 
7. If 
a 2b
3 27
?
? and 
a b
9 3
?
? then value of 
a
b
? will be 
 1. 
4
3
?
 2. 
5
8
 
 3. 
5
6
 4. 
8
5
 
 
8. If 17 x 11 11 6 ? ? ? then value of x
2
 will be 
 1. 11 2. 23 
 3. 6 4. 24 
 
9. If 0.02 0.2 a 0.2 0.2 b ?? ? ?? then, value of 
a
b
 will be 
 1. 0.4 2. 0.2 
 3. 0.04 4. 0.02 
 
10. If 7 3 ? and 7 3 ? are solution of a Quadratic Equation, The Quadratic Equation will be 
 1. 
2
x 14x 46 0 ? ? ? 2. 
2
x 14x 46 0 ? ? ? 
 3. 
2
x 14x 46 0 ? ? ? 4. 
2
x 14x 46 0 ? ? ? 
 
 
  
 
11.  In a Triangle PQR if Q 3 R 2( P R) ? ? ? ? ? ? ? then value of ?Q will be 
 1. 110° 2. 120° 
 3. 40° 4. 102° 
 
12. If 
p x 3
q x 3
?
?
?
 then value of 
2 2
2 2
p q
p q
?
?
 will be 
 1. 
2
6x
x 9 ?
 2. 
2
6x
x 9 ?
 
 3. 
2
12x
x 9 ?
 4. 
2
12x
x 9 ?
   
 
13. If perimeter of a square is same as that of a Rectangle whose length is 24m is double of its 
breadth then area of square will be 
 1. 324 m
2 
2. 342 m
2 
 
3. 224 m
2 
4. 330 m
2 
 
14. If volumes of two cones are in ratio of 2 : 3 and their base radii are in ratio of 1 : 2 then what 
will be Ratio of their heights 
 1. 8 : 3 2. 3 : 2 
 3. 4 : 3 4. 2 : 3 
 
15. If 
x y 1
2 8
?
? and 
y x 6
9 3
?
? then value of x + y  
 1. 34 2. 25 
 3. 33 4. 24 
 
16. If two numbers are such that their difference, their sum and their product are in Ratio 1:7:24 
then product of the two number is 
 1. 48 2. 44 
  3. 54 4. 38 
 
17. The mean of the median mode and Range of the observations 7, 6, 7, 9, 14, 9, 7, 15 is 
 1. 8 2. 9 
 3. 10 4. 7 
 
18. A person spends 80% of his income. With increase in the cost of living, his expenditure 
increased by 
1
37 %
2
 and his incomes increases by 
2
16 %
3
. His present percent saving is 
 1. 
1
10 %
5
 2. 
1
12 %
3
 
 3. 
1
5 %
3
 4. 
5
5 %
7
 
 
19. The cost of five chairs and three table is Rs.3110/-. If cost of one chair is Rs. 210 less than 
cost of one table. What is the cost of two tables and two chairs. 
 1. Rs. 1760 2. Rs. 1000 
 3. Rs. 1660 4. Rs. 1800 
 
 
  
 
20. If 
1
5 a
1
1
1
6
2
? ?
?
?
then value of ‘a’ will be 
 1. 
15
62
 2. 
62
15
  
 3. 
14
61
 4. 
61
14
 
 
21. If 
7
8
 of a number is 5 more than its 
5
7
. Then Nine times of Number will be 
 1. 380 2. 208 
 3. 308 4. 280 
 
22. If a cone of height 24cm and base 6cm melted and reshape into a sphere. Then what will be 
the total surface area of sphere 
 1. 36 ? Sq cm 2. 16 ? Sq cm 
 3. 144 ? Sq cm 4. 142 ? Sq cm 
 
23. P and Q can do a piece of work in 10 days, Q and R can do same work in 15 days, R and P 
can do the same work in 20 days. Then in How many days R will complete it alone  
 1. 115 days 2. 110 days 
 3. 130 days 4. 120 days 
 
24. In the following which one is the smallest 
 
3 3
3, 2, 2, 4 
 1. 3 2. 
3
4 
 3. 
3
2 4. 2 
 
25. If P denotes +, Q denotes –, R denotes ? and S denotes ?, which of the following statement 
is correct. 
 1. 36 R 4 S 8 Q 7 P 4 = 10 2. 16 R 12 P 49 S 7 Q 9 = 200 
 3. 32 S 8 R 9 = 160 Q 12 R 12 4. 8 R 8 P 8 S 8 Q 8 = 57 
 
26. A vessel contains 60Ltr. of milk, 12 liters of milk is taken out of it and is replaced by water. 
Then again from the mixture 12 liters are taken out and replaced by water. 
 Find the amount of milk left after the operation. 
 1. 28.4 Ltrs. 2. 21.6 Ltrs. 
 3. 36 Ltrs. 4. 38.4 Ltrs. 
 
27. Select the one which is different from the other three responses. 
 1. 15 : 46 2. 12 : 37 
 3. 9 : 28 4. 8 : 33 
 
28. In a row of boys A is 20
th
 from left and B is 16
th
 from right, interchange their position, then A 
becomes 30
th
 from left. How many boys are there in the row? 
 1. 46 2. 44 
 3. 45 4. 48 
 
29. A 15cm coloured cube is cut into 3cm small cubes then how many cubes are formed which 
have only one face painted. 
 1. 54 2. 64 
 3. 44 4. 84 
 
Page 4


 
  
 
NTSE STAGE – I (DELHI STATE)  
05 – A (2018 – 19)  
 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
1. If 
25
x 10
x
? ? then value of 
2
2
50
x
x
? will be  
 1. 29 2. 25 
 3. 24 4. 27 
 
2. If x y 3 ? ? and 
2 2
x y 15 ? ? then value of (x – y)
2
 will be 
 1. 21 2. 36 
 3. 25 4. 16 
 
3. If 
a b c
3 5 7
? ? then value of 
a b c
b
? ?
 will be  
 1. 7 2. 3 
 3. 10 4. 5 
 
4. If sum of number is 25 and sum of their square is 425 then what will be their product. 
 1. 200 2. 300 
 3. 100 4. 400 
 
5. If 
2
0.64 a 64 ? ? then positive value of ‘a’ will be 
 1. 0.1 2. 0.01 
 3. 1.0 4. 10 
 
6. Divisor is 30 times of Quotent and 4 times of Remainder, If quotent is 20 then Divided will be 
 1. 1,200 2. 12,150 
 3. 10,000 4. 600 
 
7. If 
a 2b
3 27
?
? and 
a b
9 3
?
? then value of 
a
b
? will be 
 1. 
4
3
?
 2. 
5
8
 
 3. 
5
6
 4. 
8
5
 
 
8. If 17 x 11 11 6 ? ? ? then value of x
2
 will be 
 1. 11 2. 23 
 3. 6 4. 24 
 
9. If 0.02 0.2 a 0.2 0.2 b ?? ? ?? then, value of 
a
b
 will be 
 1. 0.4 2. 0.2 
 3. 0.04 4. 0.02 
 
10. If 7 3 ? and 7 3 ? are solution of a Quadratic Equation, The Quadratic Equation will be 
 1. 
2
x 14x 46 0 ? ? ? 2. 
2
x 14x 46 0 ? ? ? 
 3. 
2
x 14x 46 0 ? ? ? 4. 
2
x 14x 46 0 ? ? ? 
 
 
  
 
11.  In a Triangle PQR if Q 3 R 2( P R) ? ? ? ? ? ? ? then value of ?Q will be 
 1. 110° 2. 120° 
 3. 40° 4. 102° 
 
12. If 
p x 3
q x 3
?
?
?
 then value of 
2 2
2 2
p q
p q
?
?
 will be 
 1. 
2
6x
x 9 ?
 2. 
2
6x
x 9 ?
 
 3. 
2
12x
x 9 ?
 4. 
2
12x
x 9 ?
   
 
13. If perimeter of a square is same as that of a Rectangle whose length is 24m is double of its 
breadth then area of square will be 
 1. 324 m
2 
2. 342 m
2 
 
3. 224 m
2 
4. 330 m
2 
 
14. If volumes of two cones are in ratio of 2 : 3 and their base radii are in ratio of 1 : 2 then what 
will be Ratio of their heights 
 1. 8 : 3 2. 3 : 2 
 3. 4 : 3 4. 2 : 3 
 
15. If 
x y 1
2 8
?
? and 
y x 6
9 3
?
? then value of x + y  
 1. 34 2. 25 
 3. 33 4. 24 
 
16. If two numbers are such that their difference, their sum and their product are in Ratio 1:7:24 
then product of the two number is 
 1. 48 2. 44 
  3. 54 4. 38 
 
17. The mean of the median mode and Range of the observations 7, 6, 7, 9, 14, 9, 7, 15 is 
 1. 8 2. 9 
 3. 10 4. 7 
 
18. A person spends 80% of his income. With increase in the cost of living, his expenditure 
increased by 
1
37 %
2
 and his incomes increases by 
2
16 %
3
. His present percent saving is 
 1. 
1
10 %
5
 2. 
1
12 %
3
 
 3. 
1
5 %
3
 4. 
5
5 %
7
 
 
19. The cost of five chairs and three table is Rs.3110/-. If cost of one chair is Rs. 210 less than 
cost of one table. What is the cost of two tables and two chairs. 
 1. Rs. 1760 2. Rs. 1000 
 3. Rs. 1660 4. Rs. 1800 
 
 
  
 
20. If 
1
5 a
1
1
1
6
2
? ?
?
?
then value of ‘a’ will be 
 1. 
15
62
 2. 
62
15
  
 3. 
14
61
 4. 
61
14
 
 
21. If 
7
8
 of a number is 5 more than its 
5
7
. Then Nine times of Number will be 
 1. 380 2. 208 
 3. 308 4. 280 
 
22. If a cone of height 24cm and base 6cm melted and reshape into a sphere. Then what will be 
the total surface area of sphere 
 1. 36 ? Sq cm 2. 16 ? Sq cm 
 3. 144 ? Sq cm 4. 142 ? Sq cm 
 
23. P and Q can do a piece of work in 10 days, Q and R can do same work in 15 days, R and P 
can do the same work in 20 days. Then in How many days R will complete it alone  
 1. 115 days 2. 110 days 
 3. 130 days 4. 120 days 
 
24. In the following which one is the smallest 
 
3 3
3, 2, 2, 4 
 1. 3 2. 
3
4 
 3. 
3
2 4. 2 
 
25. If P denotes +, Q denotes –, R denotes ? and S denotes ?, which of the following statement 
is correct. 
 1. 36 R 4 S 8 Q 7 P 4 = 10 2. 16 R 12 P 49 S 7 Q 9 = 200 
 3. 32 S 8 R 9 = 160 Q 12 R 12 4. 8 R 8 P 8 S 8 Q 8 = 57 
 
26. A vessel contains 60Ltr. of milk, 12 liters of milk is taken out of it and is replaced by water. 
Then again from the mixture 12 liters are taken out and replaced by water. 
 Find the amount of milk left after the operation. 
 1. 28.4 Ltrs. 2. 21.6 Ltrs. 
 3. 36 Ltrs. 4. 38.4 Ltrs. 
 
27. Select the one which is different from the other three responses. 
 1. 15 : 46 2. 12 : 37 
 3. 9 : 28 4. 8 : 33 
 
28. In a row of boys A is 20
th
 from left and B is 16
th
 from right, interchange their position, then A 
becomes 30
th
 from left. How many boys are there in the row? 
 1. 46 2. 44 
 3. 45 4. 48 
 
29. A 15cm coloured cube is cut into 3cm small cubes then how many cubes are formed which 
have only one face painted. 
 1. 54 2. 64 
 3. 44 4. 84 
 
 
  
 
30. A father tells his son “I was three times of your present age when you were born” If the 
father’s present age is 48 years, how old was the boy 4 years ago 
 1. 24 years 2. 8 years 
 3. 12 years 4. 16 years 
 
Direction (Q. 31 to 35) Find the missing term in the series given below. 
 
31. 2, 12, 30, ? , 90, 120 
 1. 48 2. 56 
 3. 63 4. 72 
 
32. 10, 100, 200, 310, ? 
 1. 400 2. 410 
 3. 420 430 
 
33. 0, 5, 2, 4.5, 8, 12.5, ? 
 1. 16 2. 17 
 3. 16.5 4. 18 
 
34. 109, 74, 46, 25, 11, ? 
 1. 3 2. 0 
 3. 11 4. 4 
 
35. 
2 4 ? 11 16
, , , ,
37?21 31
 
 1. 
6
11
 2. 
5
9
 
 3. 
9
11
 4. 
7
13
 
 
36. There are twelve dozen of apple in a basket. Two dozen are added later. Ten apples got 
spoil and are removed. The remaining are transferred equally into two baskets, how many 
are there in each. 
 1. 168 2. 158 
 3. 79 4. 89 
 
37. At what time between 8 and 9 will the hands of a clock be together 
 1. 40 minutes past 8 2. 
7
43
11
 minutes past 8 
 3. 
8
43
11
 minutes past 8 4. 
10
44
11
 minutes past 8 
 
38. What is the value of A, B and C in the given matrix.  
9 A 12 
B 10 7 
8 C 11 
 1. A = 13, B = 11, C = 9 2. A = 13, B = 9, C = 11 
 3. A = 9, B = 11, C = 13 4. A = 9, B = 13, C = 11 
 
39. Simplified value of 
n 3 n 4
n 3
7 14 7
7
? ?
?
? ?
is 
 1. 98 2. 100 
 3. 99 4. 97 
 
Page 5


 
  
 
NTSE STAGE – I (DELHI STATE)  
05 – A (2018 – 19)  
 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
1. If 
25
x 10
x
? ? then value of 
2
2
50
x
x
? will be  
 1. 29 2. 25 
 3. 24 4. 27 
 
2. If x y 3 ? ? and 
2 2
x y 15 ? ? then value of (x – y)
2
 will be 
 1. 21 2. 36 
 3. 25 4. 16 
 
3. If 
a b c
3 5 7
? ? then value of 
a b c
b
? ?
 will be  
 1. 7 2. 3 
 3. 10 4. 5 
 
4. If sum of number is 25 and sum of their square is 425 then what will be their product. 
 1. 200 2. 300 
 3. 100 4. 400 
 
5. If 
2
0.64 a 64 ? ? then positive value of ‘a’ will be 
 1. 0.1 2. 0.01 
 3. 1.0 4. 10 
 
6. Divisor is 30 times of Quotent and 4 times of Remainder, If quotent is 20 then Divided will be 
 1. 1,200 2. 12,150 
 3. 10,000 4. 600 
 
7. If 
a 2b
3 27
?
? and 
a b
9 3
?
? then value of 
a
b
? will be 
 1. 
4
3
?
 2. 
5
8
 
 3. 
5
6
 4. 
8
5
 
 
8. If 17 x 11 11 6 ? ? ? then value of x
2
 will be 
 1. 11 2. 23 
 3. 6 4. 24 
 
9. If 0.02 0.2 a 0.2 0.2 b ?? ? ?? then, value of 
a
b
 will be 
 1. 0.4 2. 0.2 
 3. 0.04 4. 0.02 
 
10. If 7 3 ? and 7 3 ? are solution of a Quadratic Equation, The Quadratic Equation will be 
 1. 
2
x 14x 46 0 ? ? ? 2. 
2
x 14x 46 0 ? ? ? 
 3. 
2
x 14x 46 0 ? ? ? 4. 
2
x 14x 46 0 ? ? ? 
 
 
  
 
11.  In a Triangle PQR if Q 3 R 2( P R) ? ? ? ? ? ? ? then value of ?Q will be 
 1. 110° 2. 120° 
 3. 40° 4. 102° 
 
12. If 
p x 3
q x 3
?
?
?
 then value of 
2 2
2 2
p q
p q
?
?
 will be 
 1. 
2
6x
x 9 ?
 2. 
2
6x
x 9 ?
 
 3. 
2
12x
x 9 ?
 4. 
2
12x
x 9 ?
   
 
13. If perimeter of a square is same as that of a Rectangle whose length is 24m is double of its 
breadth then area of square will be 
 1. 324 m
2 
2. 342 m
2 
 
3. 224 m
2 
4. 330 m
2 
 
14. If volumes of two cones are in ratio of 2 : 3 and their base radii are in ratio of 1 : 2 then what 
will be Ratio of their heights 
 1. 8 : 3 2. 3 : 2 
 3. 4 : 3 4. 2 : 3 
 
15. If 
x y 1
2 8
?
? and 
y x 6
9 3
?
? then value of x + y  
 1. 34 2. 25 
 3. 33 4. 24 
 
16. If two numbers are such that their difference, their sum and their product are in Ratio 1:7:24 
then product of the two number is 
 1. 48 2. 44 
  3. 54 4. 38 
 
17. The mean of the median mode and Range of the observations 7, 6, 7, 9, 14, 9, 7, 15 is 
 1. 8 2. 9 
 3. 10 4. 7 
 
18. A person spends 80% of his income. With increase in the cost of living, his expenditure 
increased by 
1
37 %
2
 and his incomes increases by 
2
16 %
3
. His present percent saving is 
 1. 
1
10 %
5
 2. 
1
12 %
3
 
 3. 
1
5 %
3
 4. 
5
5 %
7
 
 
19. The cost of five chairs and three table is Rs.3110/-. If cost of one chair is Rs. 210 less than 
cost of one table. What is the cost of two tables and two chairs. 
 1. Rs. 1760 2. Rs. 1000 
 3. Rs. 1660 4. Rs. 1800 
 
 
  
 
20. If 
1
5 a
1
1
1
6
2
? ?
?
?
then value of ‘a’ will be 
 1. 
15
62
 2. 
62
15
  
 3. 
14
61
 4. 
61
14
 
 
21. If 
7
8
 of a number is 5 more than its 
5
7
. Then Nine times of Number will be 
 1. 380 2. 208 
 3. 308 4. 280 
 
22. If a cone of height 24cm and base 6cm melted and reshape into a sphere. Then what will be 
the total surface area of sphere 
 1. 36 ? Sq cm 2. 16 ? Sq cm 
 3. 144 ? Sq cm 4. 142 ? Sq cm 
 
23. P and Q can do a piece of work in 10 days, Q and R can do same work in 15 days, R and P 
can do the same work in 20 days. Then in How many days R will complete it alone  
 1. 115 days 2. 110 days 
 3. 130 days 4. 120 days 
 
24. In the following which one is the smallest 
 
3 3
3, 2, 2, 4 
 1. 3 2. 
3
4 
 3. 
3
2 4. 2 
 
25. If P denotes +, Q denotes –, R denotes ? and S denotes ?, which of the following statement 
is correct. 
 1. 36 R 4 S 8 Q 7 P 4 = 10 2. 16 R 12 P 49 S 7 Q 9 = 200 
 3. 32 S 8 R 9 = 160 Q 12 R 12 4. 8 R 8 P 8 S 8 Q 8 = 57 
 
26. A vessel contains 60Ltr. of milk, 12 liters of milk is taken out of it and is replaced by water. 
Then again from the mixture 12 liters are taken out and replaced by water. 
 Find the amount of milk left after the operation. 
 1. 28.4 Ltrs. 2. 21.6 Ltrs. 
 3. 36 Ltrs. 4. 38.4 Ltrs. 
 
27. Select the one which is different from the other three responses. 
 1. 15 : 46 2. 12 : 37 
 3. 9 : 28 4. 8 : 33 
 
28. In a row of boys A is 20
th
 from left and B is 16
th
 from right, interchange their position, then A 
becomes 30
th
 from left. How many boys are there in the row? 
 1. 46 2. 44 
 3. 45 4. 48 
 
29. A 15cm coloured cube is cut into 3cm small cubes then how many cubes are formed which 
have only one face painted. 
 1. 54 2. 64 
 3. 44 4. 84 
 
 
  
 
30. A father tells his son “I was three times of your present age when you were born” If the 
father’s present age is 48 years, how old was the boy 4 years ago 
 1. 24 years 2. 8 years 
 3. 12 years 4. 16 years 
 
Direction (Q. 31 to 35) Find the missing term in the series given below. 
 
31. 2, 12, 30, ? , 90, 120 
 1. 48 2. 56 
 3. 63 4. 72 
 
32. 10, 100, 200, 310, ? 
 1. 400 2. 410 
 3. 420 430 
 
33. 0, 5, 2, 4.5, 8, 12.5, ? 
 1. 16 2. 17 
 3. 16.5 4. 18 
 
34. 109, 74, 46, 25, 11, ? 
 1. 3 2. 0 
 3. 11 4. 4 
 
35. 
2 4 ? 11 16
, , , ,
37?21 31
 
 1. 
6
11
 2. 
5
9
 
 3. 
9
11
 4. 
7
13
 
 
36. There are twelve dozen of apple in a basket. Two dozen are added later. Ten apples got 
spoil and are removed. The remaining are transferred equally into two baskets, how many 
are there in each. 
 1. 168 2. 158 
 3. 79 4. 89 
 
37. At what time between 8 and 9 will the hands of a clock be together 
 1. 40 minutes past 8 2. 
7
43
11
 minutes past 8 
 3. 
8
43
11
 minutes past 8 4. 
10
44
11
 minutes past 8 
 
38. What is the value of A, B and C in the given matrix.  
9 A 12 
B 10 7 
8 C 11 
 1. A = 13, B = 11, C = 9 2. A = 13, B = 9, C = 11 
 3. A = 9, B = 11, C = 13 4. A = 9, B = 13, C = 11 
 
39. Simplified value of 
n 3 n 4
n 3
7 14 7
7
? ?
?
? ?
is 
 1. 98 2. 100 
 3. 99 4. 97 
 
 
  
 
40. If tanx 5 3 ? ? then 22tan(90 x) ? is equal to 
 1. 5 3 ? 2. 2 3 ? 
 3. 
5 3
22
?
 4. 13 3 ? 
 
41. If 
1
a
2 3
?
?
 and 
1
b
2 3
?
?
 then find the value of 
2 2
7a 11 ab 7b ? ? . 
 1. 11 3 56 ? 2. 13 11 56 ? 
 3. 11 5 3 ? 4. 11 56 3 ?   
 
42. Two pipes A and B can fill a tank in 12 and 15 minutes respectively. A third pipe C can 
empty it in 10 minutes. How long will it take to fill the tank if all pipes are opened 
Simultaneously. 
 1. 20 minutes 2. 30 minutes 
 3. 40 minutes 4. 25 minutes 
 
43. A sum amounts of Rs. 800 at 3% Per annum in a certain time but amount to Rs. 1000 at 5% 
per annum in the same time total sum and time are  
 1. Rs. 500, 20 years 2. Rs. 400, 20 years 
 3. Rs. 550, 20 years 4. Rs. 600, 10 years 
 
44. If a and b are the roots of 
2
x 2x 1 0 ? ? ? then value of 
2 2
a b ab ? is 
 1. –2  2. 2 
 3. ½ 4. 4 
 
Directions: (Q. 45–49)  
 
The pie chart above describes the characteristics of Indian visiting UK from various states during a 
given year. 
Answer the following questions given below.  
Assume that the age wise distribution data applies to all states and that in the given year 1,00,000 
Indian visited UK. 
 
45. Number of visitors from Karnataka in the age group of 20–40 years 
 1. 20000 2. 18000 
 3. 12000 4.  None of these 
 
46. Number of visitors from Maharashtra below the age of 20 years 
 1. 3000 2. 5000 
 3. 60000 4. 8000 
 
47. How many visitors were below 20 years of age but were neither from Karnataka, nor 
Maharashtra or West Bengal? 
 1. 7000 2. 15000 
 3. 9000  4. 6000